Details

analyze3.0ms (0%)

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%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.5s (19.1%)

Results

1.5s	8256×	body	256	valid
1.0ms	7×	body	256	invalid

Bogosity

preprocess3.0ms (0%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% 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

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (log.f64 x))
✓	0.2b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 13 to 4 computations (69.2% saved)

series145.0ms (1.8%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
63.0ms	x	@	inf	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
44.0ms	x	@	-inf	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
38.0ms	x	@	0	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
0.0ms	x	@	-inf	(log.f64 (log.f64 x))
0.0ms	x	@	0	(log.f64 (log.f64 x))

rewrite101.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1804×	`rational.json-1`
1804×	`rational.json-2`
1804×	`rational.json-3`
1250×	`rational.json-simplify-35`
972×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	44	28
2	101	28
3	214	28
4	399	28
5	922	28
6	2455	28
7	4770	28
8	6909	28

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 (log.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 x) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 x) (-.f64 -1 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 x) (-.f64 1 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 x) (-.f64 1 (log.f64 (log.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2) (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 (log.f64 x))) (+.f64 (log.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 x) 1) (-.f64 -1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (log.f64 x) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (-.f64 (.f64 (log.f64 x) 8) (.f64 (log.f64 (log.f64 x)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (log.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (log.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (log.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (log.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (log.f64 (log.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (log.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (log.f64 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (log.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (sqrt.f64 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (log.f64 (log.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (log.f64 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (log.f64 (log.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (log.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (log.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (log.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (log.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (log.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (log.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (log.f64 x)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (log.f64 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (log.f64 x)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 x) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 x) (-.f64 -1 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 x) (-.f64 1 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 x) (-.f64 1 (log.f64 (log.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2) (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 (log.f64 x))) (+.f64 (log.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 x) 1) (-.f64 -1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 x) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (-.f64 (*.f64 (log.f64 x) 8) (*.f64 (log.f64 (log.f64 x)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (log.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (log.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (log.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (log.f64 (log.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (log.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (log.f64 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (log.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (log.f64 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (log.f64 (log.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (log.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (log.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (log.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (log.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (log.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (log.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (log.f64 x)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (log.f64 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (log.f64 x)) 1)))))

simplify237.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1964×	`rational.json-simplify-2`
1616×	`rational.json-simplify-35`
1242×	`rational.json-simplify-51`
980×	`rational.json-simplify-45`
838×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	147	1796
1	299	1748
2	949	1748
3	2118	1748
4	3767	1748
5	4774	1748
6	5203	1748
7	5629	1748
8	6048	1748
9	7409	1748
10	7897	1748

Stop Event

1×	node limit

Counts

88 → 83

Calls

Call 1

Inputs
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 0)
(+.f64 0 (-.f64 (log.f64 x) (log.f64 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 x) (-.f64 -1 (log.f64 (log.f64 x)))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 -1 (+.f64 (log.f64 x) (-.f64 1 (log.f64 (log.f64 x)))))
(+.f64 (+.f64 (log.f64 x) (-.f64 1 (log.f64 (log.f64 x)))) -1)
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(+.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2) (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2))
(+.f64 (-.f64 1 (log.f64 (log.f64 x))) (+.f64 (log.f64 x) -1))
(+.f64 -2 (+.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 2))
(+.f64 (+.f64 (log.f64 x) 1) (-.f64 -1 (log.f64 (log.f64 x))))
(+.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 2) -2)
(*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1)
(*.f64 1 (-.f64 (log.f64 x) (log.f64 (log.f64 x))))
(.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2))
(.f64 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -2) 1/2)
(*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -1)
(.f64 4 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/4))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 4) 1/4)
(*.f64 -1 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) -2) -1/2)
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8) 1/8)
(.f64 1/2 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -2))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2) 2)
(.f64 -2 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 1/2))
(.f64 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 1/2) -2)
(.f64 1/4 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 4))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/4) 4)
(.f64 1/8 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8))
(.f64 1/8 (-.f64 (.f64 (log.f64 x) 8) (*.f64 (log.f64 (log.f64 x)) 8)))
(.f64 -1/2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) -2))
(/.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1)
(/.f64 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -2) 2)
(/.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -1)
(/.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 4) 4)
(/.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) -2) -2)
(/.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8)) 16)
(/.f64 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 4))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8))))) 128)
(pow.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1)
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 (log.f64 x)) 0)
(+.f64 0 (log.f64 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (log.f64 (log.f64 x)) 0)
(*.f64 (log.f64 (log.f64 x)) 1)
(*.f64 1 (log.f64 (log.f64 x)))
(*.f64 2 (log.f64 (sqrt.f64 (log.f64 x))))
(.f64 (.f64 (log.f64 (log.f64 x)) 2) 1/2)
(.f64 4 (.f64 (log.f64 (log.f64 x)) 1/4))
(.f64 (.f64 (log.f64 (log.f64 x)) 4) 1/4)
(.f64 (.f64 (log.f64 (log.f64 x)) 8) 1/8)
(.f64 1/2 (.f64 (log.f64 (log.f64 x)) 2))
(*.f64 (log.f64 (sqrt.f64 (log.f64 x))) 2)
(.f64 1/4 (.f64 (log.f64 (log.f64 x)) 4))
(.f64 (.f64 (log.f64 (log.f64 x)) 1/4) 4)
(.f64 1/8 (.f64 (log.f64 (log.f64 x)) 8))
(/.f64 (log.f64 (log.f64 x)) 1)
(/.f64 (*.f64 (log.f64 (log.f64 x)) 2) 2)
(/.f64 (*.f64 (log.f64 (log.f64 x)) 4) 4)
(/.f64 (*.f64 (log.f64 (log.f64 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (log.f64 (log.f64 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (log.f64 x)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (log.f64 x)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (log.f64 x)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (log.f64 x)) 8))))) 128)
(pow.f64 (log.f64 (log.f64 x)) 1)

Outputs
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (log.f64 -1) (-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (log.f64 -1) (-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (log.f64 -1) (-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (log.f64 -1) (-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 0)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 0 (-.f64 (log.f64 x) (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 1 (+.f64 (log.f64 x) (-.f64 -1 (log.f64 (log.f64 x)))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 -1 (+.f64 (log.f64 x) (-.f64 1 (log.f64 (log.f64 x)))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (+.f64 (log.f64 x) (-.f64 1 (log.f64 (log.f64 x)))) -1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(+.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2) (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (-.f64 1 (log.f64 (log.f64 x))) (+.f64 (log.f64 x) -1))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 -2 (+.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 2))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (+.f64 (log.f64 x) 1) (-.f64 -1 (log.f64 (log.f64 x))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 2) -2)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(*.f64 1 (-.f64 (log.f64 x) (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -2) 1/2)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -1)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 4 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/4))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 4) 1/4)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(*.f64 -1 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) -2) -1/2)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8) 1/8)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 1/2 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -2))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/2) 2)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 -2 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 1/2))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 1/2) -2)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 1/4 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 4))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1/4) 4)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 1/8 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 1/8 (-.f64 (.f64 (log.f64 x) 8) (*.f64 (log.f64 (log.f64 x)) 8)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(.f64 -1/2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) -2))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(/.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(/.f64 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -2) 2)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(/.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) -1)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(/.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 4) 4)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(/.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) -2) -2)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(/.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8) 8)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8)) 16)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(/.f64 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 4) -4)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 4)) -8)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8))) 32)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)) 4))) -16)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8)))) 64)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 8))))) 128)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(pow.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 1)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (log.f64 x)) 0)
(log.f64 (log.f64 x))
(+.f64 0 (log.f64 (log.f64 x)))
(log.f64 (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(-.f64 (log.f64 (log.f64 x)) 0)
(log.f64 (log.f64 x))
(*.f64 (log.f64 (log.f64 x)) 1)
(log.f64 (log.f64 x))
(*.f64 1 (log.f64 (log.f64 x)))
(log.f64 (log.f64 x))
(*.f64 2 (log.f64 (sqrt.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(.f64 (.f64 (log.f64 (log.f64 x)) 2) 1/2)
(log.f64 (log.f64 x))
(.f64 4 (.f64 (log.f64 (log.f64 x)) 1/4))
(log.f64 (log.f64 x))
(.f64 (.f64 (log.f64 (log.f64 x)) 4) 1/4)
(log.f64 (log.f64 x))
(.f64 (.f64 (log.f64 (log.f64 x)) 8) 1/8)
(log.f64 (log.f64 x))
(.f64 1/2 (.f64 (log.f64 (log.f64 x)) 2))
(log.f64 (log.f64 x))
(*.f64 (log.f64 (sqrt.f64 (log.f64 x))) 2)
(log.f64 (log.f64 x))
(.f64 1/4 (.f64 (log.f64 (log.f64 x)) 4))
(log.f64 (log.f64 x))
(.f64 (.f64 (log.f64 (log.f64 x)) 1/4) 4)
(log.f64 (log.f64 x))
(.f64 1/8 (.f64 (log.f64 (log.f64 x)) 8))
(log.f64 (log.f64 x))
(/.f64 (log.f64 (log.f64 x)) 1)
(log.f64 (log.f64 x))
(/.f64 (*.f64 (log.f64 (log.f64 x)) 2) 2)
(log.f64 (log.f64 x))
(/.f64 (*.f64 (log.f64 (log.f64 x)) 4) 4)
(log.f64 (log.f64 x))
(/.f64 (*.f64 (log.f64 (log.f64 x)) 8) 8)
(log.f64 (log.f64 x))
(/.f64 (.f64 2 (.f64 (log.f64 (log.f64 x)) 8)) 16)
(log.f64 (log.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (log.f64 x)) 8))) 32)
(log.f64 (log.f64 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (log.f64 x)) 8)))) 64)
(log.f64 (log.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (log.f64 x)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (log.f64 x)) 8))))) 128)
(log.f64 (log.f64 x))
(pow.f64 (log.f64 (log.f64 x)) 1)
(log.f64 (log.f64 x))

eval44.0ms (0.6%)

Compiler: Compiled 899 to 448 computations (50.2% saved)

prune12.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Error

0.2b

Counts

84 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶	0.2b	(+.f64 (+.f64 (log.f64 x) 1) (-.f64 -1 (log.f64 (log.f64 x))))
▶	0.3b	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))

Compiler

Compiled 30 to 19 computations (36.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (sqrt.f64 x))
	0.0b	(log.f64 (log.f64 x))
✓	0.2b	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
✓	0.3b	(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))

Compiler

Compiled 30 to 7 computations (76.7% saved)

series4.0ms (0%)

Counts

3 → 0

Calls

9 calls:

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

rewrite119.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1952×	`rational.json-1`
1634×	`rational.json-simplify-35`
1260×	`rational.json-2`
1260×	`rational.json-3`
1196×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	65	69
2	143	69
3	305	69
4	584	55
5	1379	55
6	3192	55
7	5269	55
8	7832	55

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 1 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 1 (log.f64 (log.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (sqrt.f64 (log.f64 x)))) (-.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (sqrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 x 1/4)) (-.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 (log.f64 x))) (+.f64 (log.f64 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (sqrt.f64 x)) 1) (-.f64 -1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (log.f64 x)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (sqrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (.f64 1/8 (log.f64 x)) (/.f64 (log.f64 (log.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (sqrt.f64 (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)))) (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 1 (log.f64 (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (+.f64 (.f64 (log.f64 x) 2) (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (pow.f64 (pow.f64 (sqrt.f64 x) 8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (log.f64 (pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (log.f64 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 x) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 1/8 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 x) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (log.f64 (pow.f64 x 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (log.f64 (pow.f64 (sqrt.f64 x) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (pow.f64 x 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/8 (log.f64 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (log.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/16 (.f64 (log.f64 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 x) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 x) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 x) 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 16 (log.f64 x)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 16 (log.f64 x))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (*.f64 16 (log.f64 x)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (sqrt.f64 x)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 1 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 1 (log.f64 (log.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (sqrt.f64 (log.f64 x)))) (-.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (sqrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 x 1/4)) (-.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 (log.f64 x))) (+.f64 (log.f64 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (sqrt.f64 x)) 1) (-.f64 -1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (log.f64 x)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (sqrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 x)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 1/8 (log.f64 x)) (/.f64 (log.f64 (log.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (sqrt.f64 (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 1 (log.f64 (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 (pow.f64 (sqrt.f64 x) 8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 (pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 1/8 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (log.f64 (pow.f64 x 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (log.f64 (pow.f64 (sqrt.f64 x) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 x 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (log.f64 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (log.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 (log.f64 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 16 (log.f64 x)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 16 (log.f64 x))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 16 (log.f64 x)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (sqrt.f64 x)) 1)))))

simplify106.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1202×	`rational.json-simplify-2`
1118×	`rational.json-simplify-1`
1068×	`rational.json-simplify-35`
922×	`rational.json-simplify-41`
890×	`exponential.json-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	188	1998
1	404	1830
2	927	1830
3	2759	1830
4	4994	1830
5	6929	1830

Stop Event

1×	node limit

Counts

96 → 102

Calls

Call 1

Inputs
(+.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 0)
(+.f64 0 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(+.f64 1 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) -1))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (sqrt.f64 x)))
(+.f64 -1 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 1 (log.f64 (log.f64 x)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 1 (log.f64 (log.f64 x)))) -1)
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(.f64 1/2 (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2)))
(*.f64 2 (-.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (sqrt.f64 (log.f64 x)))))
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(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)
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(pow.f64 (log.f64 (sqrt.f64 x)) 1)

Outputs
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(-.f64 (+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 1 (log.f64 (log.f64 x))))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 1/2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 1/2)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 4 (.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 1/4 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 1/4 (+.f64 (.f64 (log.f64 x) 2) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))
(.f64 1/4 (+.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) (*.f64 (log.f64 x) 2)))
(.f64 1/4 (+.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) (log.f64 (pow.f64 x 2))))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 2)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))))) 128)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) 0)
(log.f64 (sqrt.f64 x))
(+.f64 0 (log.f64 (sqrt.f64 x)))
(log.f64 (sqrt.f64 x))
(+.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (pow.f64 x 1/4)))
(log.f64 (sqrt.f64 x))
(-.f64 (log.f64 (sqrt.f64 x)) 0)
(log.f64 (sqrt.f64 x))
(*.f64 (log.f64 (sqrt.f64 x)) 1)
(log.f64 (sqrt.f64 x))
(*.f64 (log.f64 x) 1/2)
(log.f64 (sqrt.f64 x))
(*.f64 1 (log.f64 (sqrt.f64 x)))
(log.f64 (sqrt.f64 x))
(*.f64 1 (log.f64 (pow.f64 (pow.f64 (sqrt.f64 x) 8) 1/8)))
(log.f64 (sqrt.f64 x))
(*.f64 1/2 (log.f64 x))
(log.f64 (sqrt.f64 x))
(*.f64 1/2 (log.f64 (pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) 2) 2)))
(log.f64 (sqrt.f64 x))
(*.f64 2 (log.f64 (pow.f64 x 1/4)))
(log.f64 (sqrt.f64 x))
(.f64 (.f64 (log.f64 x) 2) 1/4)
(log.f64 (sqrt.f64 x))
(.f64 4 (.f64 1/8 (log.f64 x)))
(log.f64 (sqrt.f64 x))
(.f64 (.f64 (log.f64 x) 4) 1/8)
(log.f64 (sqrt.f64 x))
(*.f64 8 (log.f64 (pow.f64 x 1/16)))
(log.f64 (sqrt.f64 x))
(*.f64 8 (log.f64 (pow.f64 (sqrt.f64 x) 1/8)))
(log.f64 (sqrt.f64 x))
(*.f64 (log.f64 (pow.f64 x 1/4)) 2)
(log.f64 (sqrt.f64 x))
(.f64 1/4 (.f64 (log.f64 x) 2))
(log.f64 (sqrt.f64 x))
(.f64 (.f64 1/8 (log.f64 x)) 4)
(log.f64 (sqrt.f64 x))
(.f64 1/8 (.f64 (log.f64 x) 4))
(log.f64 (sqrt.f64 x))
(.f64 1/16 (.f64 (log.f64 x) 8))
(log.f64 (sqrt.f64 x))
(/.f64 (log.f64 (sqrt.f64 x)) 1)
(log.f64 (sqrt.f64 x))
(/.f64 (log.f64 x) 2)
(log.f64 (sqrt.f64 x))
(/.f64 (*.f64 (log.f64 x) 2) 4)
(log.f64 (sqrt.f64 x))
(/.f64 (*.f64 (log.f64 x) 4) 8)
(log.f64 (sqrt.f64 x))
(/.f64 (*.f64 (log.f64 x) 8) 16)
(log.f64 (sqrt.f64 x))
(/.f64 (*.f64 16 (log.f64 x)) 32)
(log.f64 (sqrt.f64 x))
(/.f64 (.f64 2 (.f64 16 (log.f64 x))) 64)
(log.f64 (sqrt.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 16 (log.f64 x)))) 128)
(log.f64 (sqrt.f64 x))
(pow.f64 (log.f64 (sqrt.f64 x)) 1)
(log.f64 (sqrt.f64 x))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1 (log.f64 (log.f64 x)))
✓	0.0b	(+.f64 (log.f64 x) 1)
	0.0b	(log.f64 (log.f64 x))
✓	0.2b	(+.f64 (+.f64 (log.f64 x) 1) (-.f64 -1 (log.f64 (log.f64 x))))

Compiler

Compiled 28 to 14 computations (50% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite118.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`rational.json-1`
1764×	`rational.json-2`
1764×	`rational.json-3`
1738×	`rational.json-simplify-35`
1704×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	80	57
2	166	57
3	330	51
4	669	49
5	1702	49
6	3758	49
7	5327	49
8	7174	49

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 x) (-.f64 -1 (log.f64 (log.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 x) (-.f64 1 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 2) (+.f64 2 (*.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 2 (*.f64 (log.f64 x) 2)) (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 x) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 x) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (log.f64 x) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (+.f64 (log.f64 x) 1) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (log.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) 1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 x) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) 1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 x) 1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 (log.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) 1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) 1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 x) 1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) 1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) 1) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) 1) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) 1) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 x) 1) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -2 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (log.f64 (log.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (log.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2) (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2) -1) (+.f64 1 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (+.f64 1 (log.f64 (log.f64 x))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (log.f64 (log.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (log.f64 (log.f64 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (log.f64 (log.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 1 (log.f64 (log.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (log.f64 (log.f64 x))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (log.f64 (log.f64 x))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 1 (log.f64 (log.f64 x))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (log.f64 (log.f64 x))) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (+.f64 1 (log.f64 (log.f64 x))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 (+.f64 1 (log.f64 (log.f64 x))) 4))) (*.f64 2 (neg.f64 (*.f64 (+.f64 1 (log.f64 (log.f64 x))) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 0 (-.f64 -1 (log.f64 (log.f64 x)))))))))

simplify387.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1934×	`rational.json-simplify-35`
1882×	`rational.json-simplify-2`
1570×	`rational.json-simplify-1`
1258×	`rational.json-simplify-51`
930×	`rational.json-simplify-52`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	186	2778
1	402	2686
2	968	2498
3	2081	2466
4	3343	2434
5	4181	2434
6	5157	2422
7	5795	2422
8	6650	2422
9	6899	2422
10	7108	2422
11	7547	2422
12	7616	2422

Stop Event

1×	node limit

Counts

126 → 120

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 1 (log.f64 x))
(+.f64 1 (log.f64 x))
(+.f64 1 (log.f64 x))
(+.f64 1 (log.f64 x))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 -1 (+.f64 1 (log.f64 (log.f64 x))))
(*.f64 -1 (+.f64 1 (log.f64 (log.f64 x))))
(*.f64 -1 (+.f64 1 (log.f64 (log.f64 x))))
(*.f64 -1 (+.f64 1 (log.f64 (log.f64 x))))
(.f64 -1 (+.f64 1 (log.f64 (.f64 -1 (log.f64 (/.f64 1 x))))))
(.f64 -1 (+.f64 1 (log.f64 (.f64 -1 (log.f64 (/.f64 1 x))))))
(.f64 -1 (+.f64 1 (log.f64 (.f64 -1 (log.f64 (/.f64 1 x))))))
(.f64 -1 (+.f64 1 (log.f64 (.f64 -1 (log.f64 (/.f64 1 x))))))
(.f64 -1 (+.f64 1 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(.f64 -1 (+.f64 1 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(.f64 -1 (+.f64 1 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(.f64 -1 (+.f64 1 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)
(-.f64 (+.f64 (log.f64 x) (-.f64 -1 (log.f64 (log.f64 x)))) -1)
(-.f64 (+.f64 (log.f64 x) (-.f64 1 (log.f64 (log.f64 x)))) 1)
(*.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(.f64 4 (.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2))
(.f64 1/2 (+.f64 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 2) (+.f64 2 (*.f64 (log.f64 x) 2))))
(.f64 1/2 (+.f64 (+.f64 2 (.f64 (log.f64 x) 2)) (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 2)))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 2)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))))) 128)
(pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(-.f64 (log.f64 x) -1)
(-.f64 (+.f64 (log.f64 x) 1) 0)
(*.f64 1 (+.f64 (log.f64 x) 1))
(*.f64 (+.f64 (log.f64 x) 1) 1)
(.f64 2 (.f64 (+.f64 (log.f64 x) 1) 1/2))
(*.f64 4 (/.f64 (+.f64 (log.f64 x) 1) 4))
(.f64 4 (.f64 (/.f64 (+.f64 (log.f64 x) 1) 4) 1))
(.f64 (+.f64 2 (.f64 (log.f64 x) 2)) 1/2)
(.f64 (.f64 (+.f64 (log.f64 x) 1) 4) 1/4)
(.f64 1/2 (+.f64 2 (.f64 (log.f64 x) 2)))
(.f64 1/4 (.f64 (+.f64 (log.f64 x) 1) 4))
(.f64 (.f64 (+.f64 (log.f64 x) 1) 1/2) 2)
(*.f64 (/.f64 (+.f64 (log.f64 x) 1) 4) 4)
(/.f64 (+.f64 (log.f64 x) 1) 1)
(/.f64 (+.f64 2 (*.f64 (log.f64 x) 2)) 2)
(/.f64 (*.f64 (+.f64 (log.f64 x) 1) 4) 4)
(/.f64 (*.f64 (+.f64 (log.f64 x) 1) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 x) 1) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) 1) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) 1) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) 1) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) 1) 8))))) 128)
(pow.f64 (+.f64 (log.f64 x) 1) 1)
(+.f64 1 (-.f64 -2 (log.f64 (log.f64 x))))
(+.f64 -1 (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (-.f64 -1 (log.f64 (log.f64 x))) 0)
(+.f64 0 (-.f64 -1 (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) -1)
(+.f64 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2) (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2))
(+.f64 -2 (-.f64 1 (log.f64 (log.f64 x))))
(+.f64 (-.f64 -2 (log.f64 (log.f64 x))) 1)
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(*.f64 1 (-.f64 -1 (log.f64 (log.f64 x))))
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(*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1)
(.f64 2 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2))
(*.f64 4 (/.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4))
(.f64 4 (.f64 (/.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4) 1))
(.f64 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 2) 1/2)
(*.f64 (+.f64 1 (log.f64 (log.f64 x))) -1)
(.f64 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 2))
(.f64 1/4 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4))
(.f64 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2) 2)
(*.f64 (/.f64 (+.f64 1 (log.f64 (log.f64 x))) 2) -2)
(*.f64 (/.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4) 4)
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(/.f64 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 8) 8)
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(/.f64 (.f64 2 (.f64 (+.f64 1 (log.f64 (log.f64 x))) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 8))) 32)
(/.f64 (neg.f64 (*.f64 (+.f64 1 (log.f64 (log.f64 x))) 4)) 4)
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(pow.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1)
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Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
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(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) 1) 8))) 32)
(+.f64 (log.f64 x) 1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) 1) 8)))) 64)
(+.f64 (log.f64 x) 1)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) 1) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) 1) 8))))) 128)
(+.f64 (log.f64 x) 1)
(pow.f64 (+.f64 (log.f64 x) 1) 1)
(+.f64 (log.f64 x) 1)
(+.f64 1 (-.f64 -2 (log.f64 (log.f64 x))))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(+.f64 -1 (neg.f64 (log.f64 (log.f64 x))))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(+.f64 (-.f64 -1 (log.f64 (log.f64 x))) 0)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(+.f64 0 (-.f64 -1 (log.f64 (log.f64 x))))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) -1)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(+.f64 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2) (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(+.f64 -2 (-.f64 1 (log.f64 (log.f64 x))))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(+.f64 (-.f64 -2 (log.f64 (log.f64 x))) 1)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(+.f64 (+.f64 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2) -1) (+.f64 1 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2)))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(*.f64 1 (-.f64 -1 (log.f64 (log.f64 x))))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(*.f64 -1 (+.f64 1 (log.f64 (log.f64 x))))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(.f64 -1 (.f64 (/.f64 (+.f64 1 (log.f64 (log.f64 x))) 2) 2))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(.f64 2 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(*.f64 4 (/.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(.f64 4 (.f64 (/.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4) 1))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(.f64 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 2) 1/2)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(*.f64 (+.f64 1 (log.f64 (log.f64 x))) -1)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(.f64 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4) 1/4)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(.f64 1/2 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 2))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(.f64 1/4 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(.f64 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1/2) 2)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(*.f64 (/.f64 (+.f64 1 (log.f64 (log.f64 x))) 2) -2)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(*.f64 (/.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4) 4)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 2) 2)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (+.f64 1 (log.f64 (log.f64 x))) -1)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 4) 4)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (*.f64 2 (+.f64 1 (log.f64 (log.f64 x)))) -2)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 8) 8)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (*.f64 (+.f64 1 (log.f64 (log.f64 x))) 4) -4)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 8)) 16)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 1 (log.f64 (log.f64 x))) 4)) -8)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 -1 (log.f64 (log.f64 x))) 8))) 32)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (neg.f64 (*.f64 (+.f64 1 (log.f64 (log.f64 x))) 4)) 4)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (log.f64 (log.f64 x))) 4))) -16)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 8)))) 64)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (neg.f64 (.f64 (+.f64 1 (log.f64 (log.f64 x))) 4))) 8)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 -1 (log.f64 (log.f64 x))) 8))))) 128)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 (+.f64 1 (log.f64 (log.f64 x))) 4))) (.f64 2 (neg.f64 (.f64 (+.f64 1 (log.f64 (log.f64 x))) 4)))) 16)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(pow.f64 (-.f64 -1 (log.f64 (log.f64 x))) 1)
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(neg.f64 (+.f64 1 (log.f64 (log.f64 x))))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))
(neg.f64 (-.f64 0 (-.f64 -1 (log.f64 (log.f64 x)))))
(neg.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(-.f64 -1 (log.f64 (log.f64 x)))

eval119.0ms (1.5%)

Compiler: Compiled 4510 to 2293 computations (49.2% saved)

prune42.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	311	2	313
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	312	4	316

Error

0.1b

Counts

316 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶	0.3b	(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
✓	0.2b	(+.f64 (+.f64 (log.f64 x) 1) (-.f64 -1 (log.f64 (log.f64 x))))
▶	0.3b	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x))))

Compiler

Compiled 46 to 33 computations (28.3% saved)

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (log.f64 x))
✓	0.1b	(log.f64 (pow.f64 x 1/16))
✓	0.2b	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x))))
✓	0.3b	(-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x)))

Compiler

Compiled 51 to 30 computations (41.2% saved)

series45.0ms (0.6%)

Counts

3 → 16

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	(-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x)))
14.0ms	x	@	inf	(-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x)))
13.0ms	x	@	0	(-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x)))
0.0ms	x	@	0	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x))))
0.0ms	x	@	-inf	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x))))

rewrite106.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`rational.json-1`
1672×	`rational.json-2`
1234×	`rational.json-3`
1158×	`exponential.json-3`
1158×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	87
1	99	87
2	211	71
3	453	71
4	867	57
5	2147	57
6	4829	57
7	7700	57

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

Inputs
(-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x))))
(log.f64 (pow.f64 x 1/16))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 x 1/16)) (-.f64 (*.f64 (log.f64 (pow.f64 x 1/8)) 7/2) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 x 1/8)) (-.f64 (*.f64 (log.f64 x) 3/8) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) 1/4) (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))) (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 (log.f64 x))) (+.f64 (log.f64 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 x 1/8)) 7/2) (-.f64 (log.f64 (pow.f64 x 1/16)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) 3/8) (-.f64 (log.f64 (pow.f64 x 1/8)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (sqrt.f64 x)) 1) (-.f64 (neg.f64 (log.f64 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (pow.f64 x 1/16)) (-.f64 1 (log.f64 (log.f64 x)))) (-.f64 (*.f64 (log.f64 (pow.f64 x 1/8)) 7/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (pow.f64 x 1/8)) (-.f64 1 (log.f64 (log.f64 x)))) (-.f64 (*.f64 (log.f64 x) 3/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 x) 1/4) (+.f64 (log.f64 (log.f64 x)) -1)) (-.f64 (*.f64 (log.f64 x) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (pow.f64 x 1/16)) (log.f64 (log.f64 x))) (*.f64 (log.f64 (pow.f64 x 1/8)) 7/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (pow.f64 x 1/8)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) 1/4))))) (#(struct:change 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#<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (log.f64 x) 1/4) (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 x 1/16)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 x 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) 1/32) (*.f64 (log.f64 x) 1/32))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (pow.f64 x 1/16)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 1/16 (log.f64 (pow.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (log.f64 (pow.f64 x 1/128)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 x 1/16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 x)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 x 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 (pow.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 x 8)) 1/128)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 x) 1/32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 x 1/8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) 2) 1/32)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 x) 64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) 1/4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) 16) 1/256)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (*.f64 1/16 (log.f64 (pow.f64 x 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/16 (log.f64 (pow.f64 x 1/8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/128 (log.f64 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/32 (*.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) 1/32) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/256 (*.f64 (log.f64 x) 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/16 (log.f64 (pow.f64 x 1/16))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 x) 64) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 x 1/16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 x) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (sqrt.f64 x)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 x 8)) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 x 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) 2) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) 16) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) 4) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (pow.f64 x 8)) 4) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 x 1/16)) 1)))))

simplify152.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1894×	`rational.json-simplify-35`
1130×	`rational.json-simplify-2`
838×	`rational.json-simplify-1`
796×	`rational.json-simplify-48`
742×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	3202
1	470	3146
2	978	3138
3	2844	3138
4	5244	3138
5	6445	3138
6	7472	3138

Stop Event

1×	node limit

Counts

132 → 140

Calls

Call 1

Inputs
(-.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(log.f64 (pow.f64 (/.f64 1 x) -1/16))
(log.f64 (pow.f64 (/.f64 1 x) -1/16))
(log.f64 (pow.f64 (/.f64 1 x) -1/16))
(log.f64 (pow.f64 (/.f64 1 x) -1/16))
(.f64 1/16 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/16 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/16 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/16 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (log.f64 (pow.f64 x 1/16)) (-.f64 (*.f64 (log.f64 (pow.f64 x 1/8)) 7/2) (log.f64 (log.f64 x))))
(+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 0)
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(+.f64 1 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) -1))
(+.f64 (log.f64 (pow.f64 x 1/8)) (-.f64 (*.f64 (log.f64 x) 3/8) (log.f64 (log.f64 x))))
(+.f64 (.f64 (log.f64 x) 1/4) (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (sqrt.f64 x)))
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(+.f64 (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))) (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))))
(+.f64 (-.f64 1 (log.f64 (log.f64 x))) (+.f64 (log.f64 (sqrt.f64 x)) -1))
(+.f64 -2 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 2))
(+.f64 (*.f64 (log.f64 (pow.f64 x 1/8)) 7/2) (-.f64 (log.f64 (pow.f64 x 1/16)) (log.f64 (log.f64 x))))
(+.f64 (*.f64 (log.f64 x) 3/8) (-.f64 (log.f64 (pow.f64 x 1/8)) (log.f64 (log.f64 x))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 x)) 1) (-.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(+.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 2) -2)
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(+.f64 (+.f64 (log.f64 (pow.f64 x 1/8)) (-.f64 1 (log.f64 (log.f64 x)))) (-.f64 (*.f64 (log.f64 x) 3/8) 1))
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(+.f64 (-.f64 (log.f64 (pow.f64 x 1/16)) (log.f64 (log.f64 x))) (*.f64 (log.f64 (pow.f64 x 1/8)) 7/2))
(+.f64 (-.f64 (log.f64 (pow.f64 x 1/8)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) 3/8))
(+.f64 (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (log.f64 x))) (.f64 (log.f64 x) 1/4))
(*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)
(*.f64 1 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(.f64 1/2 (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2)))
(.f64 2 (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))))
(.f64 (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2)) 1/2)
(*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)
(*.f64 4 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))
(*.f64 4 (-.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (log.f64 (log.f64 x)) 4)))
(.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 1/4)
(*.f64 -1 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))
(.f64 1/4 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))
(.f64 (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))) 2)
(*.f64 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)
(/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)
(/.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 x)) 2)) 2)
(/.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)
(/.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)
(/.f64 (-.f64 (*.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)) -2)
(/.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8) 8)
(/.f64 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)) 16)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8))) 32)
(/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) 4)) (neg.f64 (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) 4))) 8)
(pow.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))
(-.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)
(-.f64 (+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)) 1)
(*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(*.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(.f64 1/2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2))
(.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))
(.f64 2 (+.f64 (.f64 (log.f64 x) 1/4) (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x))))))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(*.f64 4 (+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(.f64 1/4 (+.f64 (.f64 (log.f64 x) 2) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 2)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)
(pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 (pow.f64 x 1/16)) 0)
(+.f64 0 (log.f64 (pow.f64 x 1/16)))
(+.f64 (.f64 (log.f64 x) 1/32) (.f64 (log.f64 x) 1/32))
(-.f64 (log.f64 (pow.f64 x 1/16)) 0)
(.f64 8 (.f64 1/16 (log.f64 (pow.f64 x 1/8))))
(*.f64 8 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/8)))
(*.f64 8 (log.f64 (pow.f64 x 1/128)))
(*.f64 1/16 (log.f64 x))
(*.f64 (log.f64 (pow.f64 x 1/16)) 1)
(*.f64 (log.f64 x) 1/16)
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(*.f64 1 (log.f64 (pow.f64 x 1/16)))
(*.f64 1/2 (log.f64 (pow.f64 x 1/8)))
(*.f64 (log.f64 (pow.f64 x 8)) 1/128)
(.f64 2 (.f64 (log.f64 x) 1/32))
(*.f64 (log.f64 (pow.f64 x 1/8)) 1/2)
(.f64 (.f64 (log.f64 x) 2) 1/32)
(*.f64 4 (/.f64 (log.f64 x) 64))
(.f64 (.f64 (log.f64 x) 1/4) 1/4)
(.f64 (.f64 (log.f64 x) 16) 1/256)
(.f64 16 (.f64 1/16 (log.f64 (pow.f64 x 1/16))))
(*.f64 16 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16)))
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(*.f64 1/128 (log.f64 (pow.f64 x 8)))
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(.f64 (.f64 (log.f64 x) 1/32) 2)
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(.f64 (.f64 1/16 (log.f64 (pow.f64 x 1/16))) 16)
(*.f64 (/.f64 (log.f64 x) 64) 4)
(/.f64 (log.f64 (pow.f64 x 1/16)) 1)
(/.f64 (log.f64 x) 16)
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(/.f64 (log.f64 (pow.f64 x 8)) 128)
(/.f64 (log.f64 (pow.f64 x 1/8)) 2)
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(/.f64 (*.f64 (log.f64 x) 16) 256)
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(/.f64 (*.f64 (log.f64 (pow.f64 x 8)) 4) 512)
(pow.f64 (log.f64 (pow.f64 x 1/16)) 1)

Outputs
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(*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)
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(.f64 1/4 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 1/4 (+.f64 (.f64 (log.f64 x) 2) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))
(+.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) (+.f64 1 (log.f64 (sqrt.f64 x)))) -1)
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 2)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (pow.f64 x 1/16)) 0)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(+.f64 0 (log.f64 (pow.f64 x 1/16)))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(+.f64 (.f64 (log.f64 x) 1/32) (.f64 (log.f64 x) 1/32))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(-.f64 (log.f64 (pow.f64 x 1/16)) 0)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(.f64 8 (.f64 1/16 (log.f64 (pow.f64 x 1/8))))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(*.f64 8 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/8)))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(*.f64 8 (log.f64 (pow.f64 x 1/128)))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(*.f64 1/16 (log.f64 x))
(log.f64 (pow.f64 x 1/16))
(*.f64 (log.f64 (pow.f64 x 1/16)) 1)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(*.f64 (log.f64 x) 1/16)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(*.f64 (log.f64 (sqrt.f64 x)) 1/8)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(*.f64 1 (log.f64 (pow.f64 x 1/16)))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(*.f64 1/2 (log.f64 (pow.f64 x 1/8)))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(*.f64 (log.f64 (pow.f64 x 8)) 1/128)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(.f64 2 (.f64 (log.f64 x) 1/32))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(*.f64 (log.f64 (pow.f64 x 1/8)) 1/2)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(.f64 (.f64 (log.f64 x) 2) 1/32)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(*.f64 4 (/.f64 (log.f64 x) 64))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(.f64 (.f64 (log.f64 x) 1/4) 1/4)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(.f64 (.f64 (log.f64 x) 16) 1/256)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(.f64 16 (.f64 1/16 (log.f64 (pow.f64 x 1/16))))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(*.f64 16 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16)))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(*.f64 1/8 (log.f64 (sqrt.f64 x)))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(.f64 1/4 (.f64 (log.f64 x) 1/4))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(.f64 (.f64 1/16 (log.f64 (pow.f64 x 1/8))) 8)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(*.f64 1/128 (log.f64 (pow.f64 x 8)))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(.f64 1/32 (.f64 (log.f64 x) 2))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(.f64 (.f64 (log.f64 x) 1/32) 2)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(.f64 1/256 (.f64 (log.f64 x) 16))
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(.f64 (.f64 1/16 (log.f64 (pow.f64 x 1/16))) 16)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(*.f64 (/.f64 (log.f64 x) 64) 4)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(/.f64 (log.f64 (pow.f64 x 1/16)) 1)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(/.f64 (log.f64 x) 16)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(/.f64 (log.f64 (sqrt.f64 x)) 8)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(/.f64 (log.f64 (pow.f64 x 8)) 128)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(/.f64 (log.f64 (pow.f64 x 1/8)) 2)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(/.f64 (*.f64 (log.f64 x) 2) 32)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(/.f64 (*.f64 (log.f64 x) 1/4) 4)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(/.f64 (*.f64 (log.f64 x) 16) 256)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(/.f64 (*.f64 (log.f64 x) 4) 64)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(/.f64 (*.f64 (log.f64 (pow.f64 x 8)) 4) 512)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))
(pow.f64 (log.f64 (pow.f64 x 1/16)) 1)
(log.f64 (pow.f64 x 1/16))
(*.f64 1/16 (log.f64 x))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (sqrt.f64 x))
	0.0b	(log.f64 (log.f64 x))
✓	0.2b	(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
	0.3b	(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))

Compiler

Compiled 36 to 12 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))

0.0ms

inf

(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))

0.0ms

-inf

(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))

rewrite113.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2162×	`rational.json-1`
1634×	`rational.json-simplify-35`
1242×	`rational.json-2`
1242×	`rational.json-3`
1178×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	81	37
2	181	37
3	356	37
4	667	23
5	1537	23
6	3375	23
7	5408	23
8	7900	23

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 1 (log.f64 (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))))

simplify413.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

2158×	`rational.json-simplify-2`
1656×	`rational.json-simplify-35`
1630×	`rational.json-simplify-48`
1552×	`rational.json-simplify-49`
1418×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	534
1	123	534
2	316	534
3	932	534
4	1543	534
5	3098	534
6	4040	534
7	4181	534
8	4350	534
9	4705	534
10	5489	534
11	5784	534
12	5878	534
13	5941	534
14	5988	534
15	6035	534
16	6082	534
17	6181	534
18	6255	534
19	7315	534

Stop Event

1×	node limit

Counts

22 → 24

Calls

Call 1

Inputs
(-.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)
(-.f64 (+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 1 (log.f64 (log.f64 x))))) 1)
(.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))
(*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(*.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(.f64 1/2 (.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))
(.f64 (.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 1/2)
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(.f64 1/4 (+.f64 (.f64 (log.f64 x) 2) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(/.f64 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 2)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))))) 128)
(pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)

Outputs
(-.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 1 (log.f64 (log.f64 x))))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 1/2 (.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 (.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 1/2)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 1/4 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 1/4 (+.f64 (.f64 (log.f64 x) 2) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))
(.f64 1/4 (+.f64 (.f64 (log.f64 x) 2) (*.f64 4 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 2)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))))) 128)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))

eval115.0ms (1.5%)

Compiler: Compiled 4772 to 2335 computations (51.1% saved)

prune46.0ms (0.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	294	6	300
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	296	8	304

Error

0.1b

Counts

304 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶	0.3b	(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (/.f64 (log.f64 x) 2) (log.f64 (log.f64 x))))
▶	0.3b	(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x))))
✓	0.2b	(+.f64 (+.f64 (log.f64 x) 1) (-.f64 -1 (log.f64 (log.f64 x))))
▶	0.5b	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 16 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16)))) (log.f64 (log.f64 x))))
▶	0.4b	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 8 (log.f64 (pow.f64 x 1/128)))) (log.f64 (log.f64 x))))
	45.1b	(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (.f64 1/16 (log.f64 x)) (-.f64 (.f64 1/8 (log.f64 (pow.f64 x 7/2))) (log.f64 (log.f64 x)))))
▶	0.3b	(*.f64 4 (+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))

Compiler

Compiled 224 to 172 computations (23.2% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (log.f64 x))
✓	0.0b	(log.f64 (pow.f64 x 1/8))
✓	0.2b	(+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))
	0.3b	(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))

Compiler

Compiled 67 to 29 computations (56.7% saved)

series114.0ms (1.4%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
49.0ms	x	@	0	(log.f64 (pow.f64 x 1/8))
36.0ms	x	@	inf	(+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))
15.0ms	x	@	-inf	(log.f64 (pow.f64 x 1/8))
12.0ms	x	@	inf	(log.f64 (pow.f64 x 1/8))
1.0ms	x	@	0	(+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))

rewrite101.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`rational.json-1`
1582×	`rational.json-2`
1582×	`rational.json-3`
1498×	`exponential.json-3`
1498×	`rational.json-4`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	99	56
2	212	56
3	441	56
4	829	54
5	1939	52
6	4314	52
7	6913	52

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))
(log.f64 (pow.f64 x 1/8))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))) 32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 1/4 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/16 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (/.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -8) (*.f64 (log.f64 x) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (+.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) (log.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/16 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))) 32) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/4 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))) (*.f64 2 (*.f64 2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/8 (log.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/8 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) 1/16) (*.f64 (log.f64 x) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/8 (log.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 x) 32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (log.f64 (pow.f64 x 1/32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/8 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 x) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 x 2)) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (log.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) 1/16) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 x) 32) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/8 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (sqrt.f64 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 x) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 x 2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 x 4)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 x 8)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log.f64 (pow.f64 x 8))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 x 8)))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (log.f64 x)) 1)))))

simplify571.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

3888×	`rational.json-simplify-35`
2246×	`rational.json-simplify-2`
1814×	`rational.json-simplify-49`
1066×	`exponential.json-simplify-26`
1042×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	117	1536
1	220	1528
2	411	1528
3	856	1528
4	1919	1528
5	3120	1528
6	3902	1528
7	4168	1528
8	4304	1528
9	4398	1528
10	4487	1528
11	4574	1528
12	4686	1528
13	4775	1528
14	4915	1528
15	5224	1528
16	5327	1528
17	5409	1528
18	5409	1528
19	6445	1528
20	6459	1528
21	6701	1528
22	6939	1528
23	7173	1528
24	7407	1528
25	7641	1528
26	7641	1528

Stop Event

1×	node limit

Counts

60 → 61

Calls

Call 1

Inputs
(log.f64 (pow.f64 (/.f64 1 x) -1/8))
(log.f64 (pow.f64 (/.f64 1 x) -1/8))
(log.f64 (pow.f64 (/.f64 1 x) -1/8))
(log.f64 (pow.f64 (/.f64 1 x) -1/8))
(.f64 1/8 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/8 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/8 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/8 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 0)
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))) 32))
(.f64 (.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 1)
(.f64 1 (.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))))
(.f64 1/2 (.f64 1/4 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))))
(.f64 2 (.f64 1/16 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))))
(.f64 2 (+.f64 (/.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -8) (.f64 (log.f64 x) 1/16)))
(.f64 (.f64 1/4 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 1/2)
(*.f64 1/4 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))))
(*.f64 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))) 1/4)
(.f64 1/16 (+.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) (log.f64 (pow.f64 x 2))))
(.f64 (.f64 1/16 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 2)
(*.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))) 1/8)
(*.f64 (/.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))) 32) 4)
(/.f64 (*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 1)
(/.f64 (*.f64 1/4 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 2)
(/.f64 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))) 4)
(/.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))) 8)
(/.f64 (*.f64 2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 16)
(/.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))) (.f64 2 (.f64 2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))))) 64)
(pow.f64 (*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 1)
(+.f64 (*.f64 1/8 (log.f64 x)) 0)
(+.f64 0 (*.f64 1/8 (log.f64 x)))
(+.f64 (.f64 (log.f64 x) 1/16) (.f64 (log.f64 x) 1/16))
(-.f64 (*.f64 1/8 (log.f64 x)) 0)
(*.f64 1/8 (log.f64 x))
(.f64 (.f64 1/8 (log.f64 x)) 1)
(*.f64 (log.f64 (sqrt.f64 x)) 1/4)
(*.f64 (log.f64 x) 1/8)
(*.f64 4 (/.f64 (log.f64 x) 32))
(*.f64 4 (log.f64 (pow.f64 x 1/32)))
(.f64 1 (.f64 1/8 (log.f64 x)))
(.f64 1/2 (.f64 (log.f64 x) 1/4))
(.f64 2 (.f64 (log.f64 x) 1/16))
(*.f64 (log.f64 (pow.f64 x 2)) 1/16)
(.f64 (.f64 (log.f64 x) 1/4) 1/2)
(*.f64 1/4 (log.f64 (sqrt.f64 x)))
(*.f64 1/16 (log.f64 (pow.f64 x 2)))
(.f64 (.f64 (log.f64 x) 1/16) 2)
(*.f64 (/.f64 (log.f64 x) 32) 4)
(/.f64 (*.f64 1/8 (log.f64 x)) 1)
(/.f64 (log.f64 (sqrt.f64 x)) 4)
(/.f64 (log.f64 x) 8)
(/.f64 (log.f64 (pow.f64 x 2)) 16)
(/.f64 (*.f64 (log.f64 x) 1/4) 2)
(/.f64 (log.f64 (pow.f64 x 4)) 32)
(/.f64 (log.f64 (pow.f64 x 8)) 64)
(/.f64 (*.f64 2 (log.f64 (pow.f64 x 8))) 128)
(/.f64 (.f64 2 (.f64 2 (log.f64 (pow.f64 x 8)))) 256)
(pow.f64 (*.f64 1/8 (log.f64 x)) 1)

Outputs
(log.f64 (pow.f64 (/.f64 1 x) -1/8))
(log.f64 (pow.f64 (/.f64 1 x) -1/8))
(log.f64 (pow.f64 (/.f64 1 x) -1/8))
(log.f64 (pow.f64 (/.f64 1 x) -1/8))
(.f64 1/8 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 1/8 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/8 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 1/8 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/8 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 1/8 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/8 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 1/8 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 0)
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(*.f64 4 (/.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))) 32))
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(.f64 (.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 1)
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(.f64 1 (.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))))
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(.f64 1/2 (.f64 1/4 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))))
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(.f64 2 (.f64 1/16 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))))
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(.f64 2 (+.f64 (/.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -8) (.f64 (log.f64 x) 1/16)))
(.f64 (.f64 1/4 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 1/2)
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(*.f64 1/4 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))))
(*.f64 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))) 1/4)
(*.f64 1/4 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))))
(.f64 1/16 (+.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) (log.f64 (pow.f64 x 2))))
(.f64 1/16 (+.f64 (.f64 4 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))) (log.f64 (pow.f64 x 2))))
(.f64 (.f64 1/16 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 2)
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(*.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))) 1/8)
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(*.f64 (/.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))) 32) 4)
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(/.f64 (*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 1)
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(/.f64 (*.f64 1/4 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 2)
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(/.f64 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))) 4)
(/.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))) 8)
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(/.f64 (*.f64 2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 16)
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(/.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))) 32)
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))) (.f64 2 (.f64 2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))))) 64)
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(pow.f64 (*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))) 1)
(*.f64 1/8 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2)))))
(*.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) -2)))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 -2 (log.f64 (log.f64 x))))))
(.f64 1/8 (+.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) -2))))
(+.f64 (*.f64 1/8 (log.f64 x)) 0)
(*.f64 1/8 (log.f64 x))
(+.f64 0 (*.f64 1/8 (log.f64 x)))
(*.f64 1/8 (log.f64 x))
(+.f64 (.f64 (log.f64 x) 1/16) (.f64 (log.f64 x) 1/16))
(*.f64 1/8 (log.f64 x))
(-.f64 (*.f64 1/8 (log.f64 x)) 0)
(*.f64 1/8 (log.f64 x))
(*.f64 1/8 (log.f64 x))
(.f64 (.f64 1/8 (log.f64 x)) 1)
(*.f64 1/8 (log.f64 x))
(*.f64 (log.f64 (sqrt.f64 x)) 1/4)
(*.f64 1/8 (log.f64 x))
(*.f64 (log.f64 x) 1/8)
(*.f64 1/8 (log.f64 x))
(*.f64 4 (/.f64 (log.f64 x) 32))
(*.f64 1/8 (log.f64 x))
(*.f64 4 (log.f64 (pow.f64 x 1/32)))
(*.f64 1/32 (log.f64 (pow.f64 x 4)))
(*.f64 2 (log.f64 (pow.f64 x 1/16)))
(.f64 1 (.f64 1/8 (log.f64 x)))
(*.f64 1/8 (log.f64 x))
(.f64 1/2 (.f64 (log.f64 x) 1/4))
(*.f64 1/8 (log.f64 x))
(.f64 2 (.f64 (log.f64 x) 1/16))
(*.f64 1/8 (log.f64 x))
(*.f64 (log.f64 (pow.f64 x 2)) 1/16)
(*.f64 1/32 (log.f64 (pow.f64 x 4)))
(*.f64 4 (log.f64 (pow.f64 x 1/32)))
(*.f64 2 (log.f64 (pow.f64 x 1/16)))
(.f64 (.f64 (log.f64 x) 1/4) 1/2)
(*.f64 1/8 (log.f64 x))
(*.f64 1/4 (log.f64 (sqrt.f64 x)))
(*.f64 1/8 (log.f64 x))
(*.f64 1/16 (log.f64 (pow.f64 x 2)))
(*.f64 1/32 (log.f64 (pow.f64 x 4)))
(*.f64 4 (log.f64 (pow.f64 x 1/32)))
(*.f64 2 (log.f64 (pow.f64 x 1/16)))
(.f64 (.f64 (log.f64 x) 1/16) 2)
(*.f64 1/8 (log.f64 x))
(*.f64 (/.f64 (log.f64 x) 32) 4)
(*.f64 1/8 (log.f64 x))
(/.f64 (*.f64 1/8 (log.f64 x)) 1)
(*.f64 1/8 (log.f64 x))
(/.f64 (log.f64 (sqrt.f64 x)) 4)
(*.f64 1/8 (log.f64 x))
(/.f64 (log.f64 x) 8)
(*.f64 1/8 (log.f64 x))
(/.f64 (log.f64 (pow.f64 x 2)) 16)
(/.f64 (*.f64 (log.f64 x) 1/4) 2)
(*.f64 1/8 (log.f64 x))
(/.f64 (log.f64 (pow.f64 x 4)) 32)
(/.f64 (log.f64 (pow.f64 x 8)) 64)
(/.f64 (*.f64 2 (log.f64 (pow.f64 x 8))) 128)
(*.f64 1/32 (log.f64 (pow.f64 x 4)))
(*.f64 4 (log.f64 (pow.f64 x 1/32)))
(*.f64 2 (log.f64 (pow.f64 x 1/16)))
(/.f64 (.f64 2 (.f64 2 (log.f64 (pow.f64 x 8)))) 256)
(*.f64 1/32 (log.f64 (pow.f64 x 4)))
(*.f64 4 (log.f64 (pow.f64 x 1/32)))
(*.f64 2 (log.f64 (pow.f64 x 1/16)))
(pow.f64 (*.f64 1/8 (log.f64 x)) 1)
(*.f64 1/8 (log.f64 x))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (log.f64 x))
✓	0.2b	(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (/.f64 (log.f64 x) 2) (log.f64 (log.f64 x))))
✓	0.3b	(-.f64 (/.f64 (log.f64 x) 2) (log.f64 (log.f64 x)))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite89.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`rational.json-simplify-35`
1292×	`rational.json-1`
1292×	`rational.json-2`
1292×	`rational.json-3`
1210×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	66
1	67	66
2	150	66
3	309	60
4	597	46
5	1382	46
6	3308	46
7	5433	46

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))) (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) 1/4) (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 (log.f64 x))) (+.f64 (log.f64 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (sqrt.f64 x)) 1) (-.f64 -1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (log.f64 x) 1/8) (/.f64 (log.f64 (log.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (-.f64 (log.f64 (sqrt.f64 (log.f64 x))) (*.f64 (log.f64 x) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))))

simplify641.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

2520×	`rational.json-simplify-35`
1842×	`rational.json-simplify-2`
1282×	`rational.json-simplify-1`
896×	`rational.json-simplify-48`
698×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	2752
1	318	2696
2	694	2684
3	1944	2684
4	3125	2684
5	3829	2684
6	4710	2684
7	5095	2684
8	5348	2684
9	5569	2684
10	5737	2684
11	5986	2684
12	6266	2684
13	6842	2684
14	7183	2684
15	7433	2684
16	7486	2684
17	7492	2684
18	7497	2684
19	7735	2684

Stop Event

1×	node limit

Counts

90 → 87

Calls

Call 1

Inputs
(-.f64 (*.f64 1/2 (log.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (*.f64 1/2 (log.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (*.f64 1/2 (log.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (*.f64 1/2 (log.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (.f64 -1/2 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1/2 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1/2 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1/2 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 0)
(+.f64 0 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(+.f64 1 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) -1))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (sqrt.f64 x)))
(+.f64 -1 (-.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))
(+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)) -1)
(+.f64 (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))) (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))))
(+.f64 (.f64 (log.f64 x) 1/4) (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (log.f64 x))))
(+.f64 (-.f64 1 (log.f64 (log.f64 x))) (+.f64 (log.f64 (sqrt.f64 x)) -1))
(+.f64 -2 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 2))
(+.f64 (+.f64 (log.f64 (sqrt.f64 x)) 1) (-.f64 -1 (log.f64 (log.f64 x))))
(+.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 2) -2)
(.f64 2 (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))))
(*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)
(*.f64 1 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))
(.f64 4 (.f64 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 1))
(.f64 4 (-.f64 (.f64 (log.f64 x) 1/8) (/.f64 (log.f64 (log.f64 x)) 4)))
(*.f64 (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))) 1/2)
(*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)
(*.f64 1/2 (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))))
(.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))
(*.f64 -1 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))
(.f64 -1 (.f64 (-.f64 (log.f64 (sqrt.f64 (log.f64 x))) (*.f64 (log.f64 x) 1/4)) 2))
(.f64 (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))) 2)
(*.f64 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)
(/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)
(/.f64 (-.f64 (log.f64 x) (log.f64 (pow.f64 (log.f64 x) 2))) 2)
(/.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)
(/.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)
(/.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8) 8)
(/.f64 (-.f64 (log.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)) 16)
(/.f64 (*.f64 4 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8))) 32)
(/.f64 (.f64 2 (.f64 4 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))))) -16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 8))))) 128)
(pow.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))
(-.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)
(-.f64 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1))) 1)
(.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))
(*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(*.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(.f64 4 (.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1))
(.f64 (.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 1/2)
(.f64 1/2 (.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(.f64 1/4 (+.f64 (.f64 (log.f64 x) 2) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(/.f64 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 2)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))))) 128)
(pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)

Outputs
(-.f64 (*.f64 1/2 (log.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (*.f64 1/2 (log.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (*.f64 1/2 (log.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (*.f64 1/2 (log.f64 x)) (log.f64 (log.f64 x)))
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localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (log.f64 x))
	0.1b	(log.f64 (pow.f64 x 1/16))
✓	0.2b	(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x))))
	0.3b	(-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x)))

Compiler

Compiled 52 to 33 computations (36.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x))))

0.0ms

(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x))))

0.0ms

-inf

(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x))))

rewrite102.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`rational.json-1`
1622×	`rational.json-2`
1186×	`rational.json-3`
1138×	`exponential.json-3`
1138×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	101	47
2	217	41
3	444	37
4	865	23
5	2044	23
6	4725	23
7	7570	23

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (log.f64 x) 1/4) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))))

simplify402.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1696×	`rational.json-simplify-45`
1666×	`rational.json-simplify-1`
1622×	`rational.json-simplify-35`
1210×	`rational.json-simplify-2`
1184×	`rational.json-simplify-49`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	93	1355
1	184	1331
2	390	1325
3	956	1323
4	1506	1319
5	3147	1319
6	3577	1319
7	3724	1319
8	3899	1319
9	4132	1319
10	4619	1319
11	5718	1319
12	5928	1319
13	6097	1319
14	6228	1319
15	6344	1319
16	6459	1319
17	7138	1319
18	7292	1319

Stop Event

1×	node limit

Counts

35 → 41

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 x 1/16))) (.f64 1/2 (log.f64 x))) (log.f64 (log.f64 x)))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 x 1/16))) (.f64 1/2 (log.f64 x))) (log.f64 (log.f64 x)))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 x 1/16))) (.f64 1/2 (log.f64 x))) (log.f64 (log.f64 x)))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 x 1/16))) (.f64 1/2 (log.f64 x))) (log.f64 (log.f64 x)))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (.f64 -1/2 (log.f64 (/.f64 1 x)))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (.f64 -1/2 (log.f64 (/.f64 1 x)))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (.f64 -1/2 (log.f64 (/.f64 1 x)))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (.f64 -1/2 (log.f64 (/.f64 1 x)))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)
(-.f64 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1))) 1)
(.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))
(.f64 2 (+.f64 (.f64 (log.f64 x) 1/4) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1/2)))
(*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(*.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(*.f64 4 (+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))
(.f64 (.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 1/2)
(.f64 1/2 (.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(.f64 1/4 (+.f64 (.f64 (log.f64 x) 2) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(/.f64 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 2)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)
(pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)

Outputs
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 x 1/16))) (.f64 1/2 (log.f64 x))) (log.f64 (log.f64 x)))
(-.f64 (+.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (sqrt.f64 x))) (log.f64 (log.f64 x)))
(+.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 x 1/16))) (.f64 1/2 (log.f64 x))) (log.f64 (log.f64 x)))
(-.f64 (+.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (sqrt.f64 x))) (log.f64 (log.f64 x)))
(+.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 x 1/16))) (.f64 1/2 (log.f64 x))) (log.f64 (log.f64 x)))
(-.f64 (+.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (sqrt.f64 x))) (log.f64 (log.f64 x)))
(+.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 x 1/16))) (.f64 1/2 (log.f64 x))) (log.f64 (log.f64 x)))
(-.f64 (+.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (sqrt.f64 x))) (log.f64 (log.f64 x)))
(+.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (.f64 -1/2 (log.f64 (/.f64 1 x)))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 x))) (-.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (log.f64 (*.f64 (log.f64 (/.f64 1 x)) -1))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 x))) (-.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x))))))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (.f64 -1/2 (log.f64 (/.f64 1 x)))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (.f64 -1/2 (log.f64 (/.f64 1 x)))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 x))) (-.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (log.f64 (*.f64 (log.f64 (/.f64 1 x)) -1))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 x))) (-.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x))))))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (.f64 -1/2 (log.f64 (/.f64 1 x)))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (.f64 -1/2 (log.f64 (/.f64 1 x)))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 x))) (-.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (log.f64 (*.f64 (log.f64 (/.f64 1 x)) -1))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 x))) (-.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x))))))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (.f64 -1/2 (log.f64 (/.f64 1 x)))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (.f64 -1/2 (log.f64 (/.f64 1 x)))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 x))) (-.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (log.f64 (*.f64 (log.f64 (/.f64 1 x)) -1))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 x))) (-.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x))))))
(-.f64 (+.f64 (.f64 8 (log.f64 (pow.f64 (/.f64 1 x) -1/16))) (.f64 -1/2 (log.f64 (/.f64 1 x)))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1))) 1)
(+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)) (-.f64 (log.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 1 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))) (+.f64 (log.f64 (sqrt.f64 x)) -1))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 0 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 2 (+.f64 (.f64 (log.f64 x) 1/4) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1/2)))
(.f64 2 (+.f64 (.f64 (log.f64 x) 1/4) (*.f64 1/2 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))))
(*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 4 (+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))
(.f64 4 (+.f64 (log.f64 (pow.f64 x 1/8)) (.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1/4)))
(.f64 (.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 1/2)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 1/2 (.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 1/4 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 1/4 (+.f64 (.f64 (log.f64 x) 2) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) 2)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8) 8)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)) 16)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) 32)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 8)))) 64)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (log.f64 x))
✓	0.2b	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 8 (log.f64 (pow.f64 x 1/128)))) (log.f64 (log.f64 x))))
✓	0.3b	(-.f64 (.f64 8 (.f64 8 (log.f64 (pow.f64 x 1/128)))) (log.f64 (log.f64 x)))
✓	0.3b	(log.f64 (pow.f64 x 1/128))

Compiler

Compiled 63 to 41 computations (34.9% saved)

series104.0ms (1.3%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
73.0ms	x	@	inf	(log.f64 (pow.f64 x 1/128))
14.0ms	x	@	-inf	(log.f64 (pow.f64 x 1/128))
12.0ms	x	@	0	(log.f64 (pow.f64 x 1/128))
3.0ms	x	@	0	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 8 (log.f64 (pow.f64 x 1/128)))) (log.f64 (log.f64 x))))
0.0ms	x	@	inf	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 8 (log.f64 (pow.f64 x 1/128)))) (log.f64 (log.f64 x))))

rewrite113.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`rational.json-1`
1594×	`rational.json-2`
1594×	`rational.json-3`
1482×	`exponential.json-3`
1482×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	99
1	106	87
2	227	87
3	496	71
4	995	57
5	2544	57
6	4693	57
7	6828	57

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs

(log.f64 (pow.f64 x 1/128))

(-.f64 (*.f64 8 (*.f64 8 (log.f64 (pow.f64 x 1/128)))) (log.f64 (log.f64 x)))

(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (*.f64 8 (*.f64 8 (log.f64 (pow.f64 x 1/128)))) (log.f64 (log.f64 x))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) 1/16) (-.f64 (+.f64 (*.f64 (log.f64 x) 1/4) (*.f64 (*.f64 1/128 (log.f64 x)) 24)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) 1/8) (-.f64 (*.f64 3 (*.f64 (log.f64 x) 1/8)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) 1/4) (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule 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(sqrt.f64 x)) 1) (-.f64 (neg.f64 (log.f64 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 x) 1/16) (-.f64 1 (log.f64 (log.f64 x)))) (-.f64 (+.f64 (*.f64 (log.f64 x) 1/4) (*.f64 (*.f64 1/128 (log.f64 x)) 24)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 x) 1/8) (-.f64 1 (log.f64 (log.f64 x)))) (-.f64 (*.f64 3 (*.f64 (log.f64 x) 1/8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 x) 1/4) (-.f64 1 (log.f64 (log.f64 x)))) (-.f64 (*.f64 (log.f64 x) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 x) 1/16) (log.f64 (log.f64 x))) (+.f64 (*.f64 (log.f64 x) 1/4) (*.f64 (*.f64 1/128 (log.f64 x)) 24)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 x) 1/8) (log.f64 (log.f64 x))) (*.f64 3 (*.f64 (log.f64 x) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 x)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (log.f64 x) 1/8) (/.f64 (log.f64 (log.f64 x)) 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4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 (log.f64 (log.f64 x)) 2) (log.f64 x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (*.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (*.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 (*.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)))) (neg.f64 (*.f64 2 (-.f64 (*.f64 (log.f64 (log.f64 x)) 2) (log.f64 x))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 x)) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))))

simplify126.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational.json-simplify-2`
1254×	`rational.json-simplify-35`
1200×	`rational.json-simplify-48`
1142×	`rational.json-simplify-51`
994×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	248	3513
1	494	3445
2	1132	3445
3	2617	3445
4	4534	3045
5	6412	3045

Stop Event

1×	node limit

Counts

139 → 134

Calls

Call 1

Inputs
(log.f64 (pow.f64 (/.f64 1 x) -1/128))
(log.f64 (pow.f64 (/.f64 1 x) -1/128))
(log.f64 (pow.f64 (/.f64 1 x) -1/128))
(log.f64 (pow.f64 (/.f64 1 x) -1/128))
(.f64 1/128 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/128 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/128 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/128 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (*.f64 64 (log.f64 (pow.f64 x 1/128))) (log.f64 (log.f64 x)))
(-.f64 (*.f64 64 (log.f64 (pow.f64 x 1/128))) (log.f64 (log.f64 x)))
(-.f64 (*.f64 64 (log.f64 (pow.f64 x 1/128))) (log.f64 (log.f64 x)))
(-.f64 (*.f64 64 (log.f64 (pow.f64 x 1/128))) (log.f64 (log.f64 x)))
(-.f64 (.f64 64 (log.f64 (pow.f64 (/.f64 1 x) -1/128))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 64 (log.f64 (pow.f64 (/.f64 1 x) -1/128))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 64 (log.f64 (pow.f64 (/.f64 1 x) -1/128))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 64 (log.f64 (pow.f64 (/.f64 1 x) -1/128))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 1/128 (log.f64 x)) 0)
(+.f64 0 (*.f64 1/128 (log.f64 x)))
(+.f64 (.f64 (log.f64 x) 1/256) (.f64 (log.f64 x) 1/256))
(-.f64 (*.f64 1/128 (log.f64 x)) 0)
(*.f64 1/128 (log.f64 x))
(.f64 (.f64 1/128 (log.f64 x)) 1)
(.f64 8 (.f64 1/128 (*.f64 (log.f64 x) 1/8)))
(*.f64 8 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/64)))
(.f64 (.f64 (log.f64 x) 1/16) 1/8)
(*.f64 (log.f64 x) 1/128)
(*.f64 (log.f64 (sqrt.f64 x)) 1/64)
(.f64 1 (.f64 1/128 (log.f64 x)))
(*.f64 1/2 (log.f64 (pow.f64 x 1/64)))
(.f64 (.f64 8 (log.f64 x)) 1/1024)
(.f64 2 (.f64 (log.f64 x) 1/256))
(*.f64 (log.f64 (pow.f64 x 2)) 1/256)
(.f64 (.f64 (log.f64 x) 1/8) 1/16)
(*.f64 (log.f64 (pow.f64 x 1/64)) 1/2)
(.f64 (.f64 (log.f64 x) 64) 1/8192)
(.f64 64 (.f64 1/128 (log.f64 (pow.f64 x 1/64))))
(*.f64 64 (log.f64 (pow.f64 (pow.f64 x 1/128) 1/64)))
(.f64 4 (/.f64 (.f64 1/128 (log.f64 x)) 4))
(.f64 (.f64 (log.f64 x) 1/32) 1/4)
(.f64 1/16 (.f64 (log.f64 x) 1/8))
(.f64 16 (.f64 1/128 (*.f64 (log.f64 x) 1/16)))
(*.f64 1/64 (log.f64 (sqrt.f64 x)))
(.f64 1/8 (.f64 (log.f64 x) 1/16))
(.f64 (.f64 (log.f64 x) 1/256) 2)
(.f64 1/4 (.f64 (log.f64 x) 1/32))
(*.f64 1/256 (log.f64 (pow.f64 x 2)))
(.f64 1/1024 (.f64 8 (log.f64 x)))
(.f64 (.f64 1/128 (*.f64 (log.f64 x) 1/8)) 8)
(.f64 1/8192 (.f64 (log.f64 x) 64))
(.f64 (.f64 1/128 (log.f64 (pow.f64 x 1/64))) 64)
(.f64 (.f64 1/128 (*.f64 (log.f64 x) 1/16)) 16)
(.f64 (/.f64 (.f64 1/128 (log.f64 x)) 4) 4)
(/.f64 (*.f64 1/128 (log.f64 x)) 1)
(/.f64 (*.f64 (log.f64 x) 1/16) 8)
(/.f64 (log.f64 x) 128)
(/.f64 (log.f64 (sqrt.f64 x)) 64)
(/.f64 (log.f64 (pow.f64 x 2)) 256)
(/.f64 (*.f64 (log.f64 x) 1/8) 16)
(/.f64 (log.f64 (pow.f64 x 1/64)) 2)
(/.f64 (*.f64 (log.f64 x) 1/4) 32)
(/.f64 (*.f64 (log.f64 x) 1/32) 4)
(pow.f64 (*.f64 1/128 (log.f64 x)) 1)
(+.f64 (.f64 (log.f64 x) 1/16) (-.f64 (+.f64 (.f64 (log.f64 x) 1/4) (.f64 (.f64 1/128 (log.f64 x)) 24)) (log.f64 (log.f64 x))))
(+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 0)
(+.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 0 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(+.f64 1 (-.f64 -1 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))))
(+.f64 (.f64 (log.f64 x) 1/8) (-.f64 (.f64 3 (*.f64 (log.f64 x) 1/8)) (log.f64 (log.f64 x))))
(+.f64 (.f64 (log.f64 x) 1/4) (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (sqrt.f64 x)))
(+.f64 -1 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1))
(+.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1) -1)
(+.f64 (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))) (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))))
(+.f64 (-.f64 1 (log.f64 (log.f64 x))) (+.f64 (log.f64 (sqrt.f64 x)) -1))
(+.f64 -2 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 2))
(+.f64 (+.f64 (.f64 (log.f64 x) 1/4) (.f64 (.f64 1/128 (log.f64 x)) 24)) (-.f64 (.f64 (log.f64 x) 1/16) (log.f64 (log.f64 x))))
(+.f64 (.f64 3 (.f64 (log.f64 x) 1/8)) (-.f64 (*.f64 (log.f64 x) 1/8) (log.f64 (log.f64 x))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 x)) 1) (-.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(+.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 2) -2)
(+.f64 (+.f64 (.f64 (log.f64 x) 1/16) (-.f64 1 (log.f64 (log.f64 x)))) (-.f64 (+.f64 (.f64 (log.f64 x) 1/4) (.f64 (.f64 1/128 (log.f64 x)) 24)) 1))
(+.f64 (+.f64 (.f64 (log.f64 x) 1/8) (-.f64 1 (log.f64 (log.f64 x)))) (-.f64 (.f64 3 (*.f64 (log.f64 x) 1/8)) 1))
(+.f64 (+.f64 (.f64 (log.f64 x) 1/4) (-.f64 1 (log.f64 (log.f64 x)))) (-.f64 (.f64 (log.f64 x) 1/4) 1))
(+.f64 (-.f64 (.f64 (log.f64 x) 1/16) (log.f64 (log.f64 x))) (+.f64 (.f64 (log.f64 x) 1/4) (.f64 (.f64 1/128 (log.f64 x)) 24)))
(+.f64 (-.f64 (.f64 (log.f64 x) 1/8) (log.f64 (log.f64 x))) (.f64 3 (*.f64 (log.f64 x) 1/8)))
(+.f64 (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (log.f64 x))) (.f64 (log.f64 x) 1/4))
(*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)
(*.f64 1 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(.f64 1/2 (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2)))
(.f64 2 (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))))
(.f64 (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2)) 1/2)
(*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)
(*.f64 4 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))
(.f64 4 (-.f64 (.f64 (log.f64 x) 1/8) (/.f64 (log.f64 (log.f64 x)) 4)))
(.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 1/4)
(*.f64 -1 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))
(.f64 1/4 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))
(.f64 (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))) 2)
(*.f64 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)
(/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)
(/.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 x)) 2)) 2)
(/.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)
(/.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)
(/.f64 (-.f64 (*.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)) 8)
(/.f64 (.f64 2 (-.f64 (.f64 (log.f64 (log.f64 x)) 2) (log.f64 x))) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (-.f64 (*.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))) 32)
(/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)))) (neg.f64 (.f64 2 (-.f64 (.f64 (log.f64 (log.f64 x)) 2) (log.f64 x))))) 8)
(pow.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))
(-.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)
(-.f64 (+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)) 1)
(*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(*.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(.f64 1/2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2))
(.f64 1/2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2))))
(.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2))) 1/2)
(/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 2)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) 64)
(pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)

Outputs
(log.f64 (pow.f64 (/.f64 1 x) -1/128))
(log.f64 (pow.f64 (/.f64 1 x) -1/128))
(log.f64 (pow.f64 (/.f64 1 x) -1/128))
(log.f64 (pow.f64 (/.f64 1 x) -1/128))
(.f64 1/128 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 1/128 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/128 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 1/128 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/128 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
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(/.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)
(-.f64 (*.f64 1/128 (log.f64 (pow.f64 x 64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(/.f64 (-.f64 (*.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)) 8)
(-.f64 (*.f64 1/128 (log.f64 (pow.f64 x 64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (-.f64 (.f64 (log.f64 (log.f64 x)) 2) (log.f64 x))) -4)
(-.f64 (*.f64 1/128 (log.f64 (pow.f64 x 64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))) 16)
(-.f64 (*.f64 1/128 (log.f64 (pow.f64 x 64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (.f64 2 (-.f64 (*.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)))) -8)
(-.f64 (*.f64 1/128 (log.f64 (pow.f64 x 64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))) 32)
(-.f64 (*.f64 1/128 (log.f64 (pow.f64 x 64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)))) 4)
(-.f64 (*.f64 1/128 (log.f64 (pow.f64 x 64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))))) 64)
(-.f64 (*.f64 1/128 (log.f64 (pow.f64 x 64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)))) (neg.f64 (.f64 2 (-.f64 (.f64 (log.f64 (log.f64 x)) 2) (log.f64 x))))) 8)
(-.f64 (*.f64 1/128 (log.f64 (pow.f64 x 64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)
(-.f64 (*.f64 1/128 (log.f64 (pow.f64 x 64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))
(-.f64 (*.f64 1/128 (log.f64 (pow.f64 x 64))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)) 1)
(+.f64 (+.f64 1 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))) (+.f64 -1 (log.f64 (sqrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 1/2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 1/2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2))))
(+.f64 (+.f64 1 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))) (+.f64 -1 (log.f64 (sqrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 1/2)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 1/4 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2))) 1/2)
(+.f64 (+.f64 1 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))) (+.f64 -1 (log.f64 (sqrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 2)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)) 8)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))) 16)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)))) 32)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) 64)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))

localize73.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (log.f64 x))
✓	0.2b	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 16 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16)))) (log.f64 (log.f64 x))))
✓	0.3b	(-.f64 (.f64 8 (.f64 16 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16)))) (log.f64 (log.f64 x)))
✓	0.5b	(log.f64 (pow.f64 (pow.f64 x 1/16) 1/16))

Compiler

Compiled 79 to 56 computations (29.1% saved)

series110.0ms (1.4%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
75.0ms	x	@	-inf	(log.f64 (pow.f64 (pow.f64 x 1/16) 1/16))
15.0ms	x	@	inf	(log.f64 (pow.f64 (pow.f64 x 1/16) 1/16))
12.0ms	x	@	0	(log.f64 (pow.f64 (pow.f64 x 1/16) 1/16))
0.0ms	x	@	-inf	(-.f64 (.f64 8 (.f64 16 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16)))) (log.f64 (log.f64 x)))
0.0ms	x	@	0	(-.f64 (.f64 8 (.f64 16 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16)))) (log.f64 (log.f64 x)))

rewrite102.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`rational.json-simplify-35`
1270×	`rational.json-1`
1270×	`rational.json-2`
1270×	`rational.json-3`
1250×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	99
1	123	87
2	278	71
3	642	71
4	1457	57
5	3922	57
6	6729	57

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs

(log.f64 (pow.f64 (pow.f64 x 1/16) 1/16))

(-.f64 (*.f64 8 (*.f64 16 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16)))) (log.f64 (log.f64 x)))

(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (*.f64 8 (*.f64 16 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16)))) (log.f64 (log.f64 x))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) 1/4) (-.f64 (*.f64 (log.f64 x) 1/4) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1/2) (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x 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((x /.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (log.f64 (log.f64 x)) (log.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 x)) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)))))

simplify132.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1464×	`rational.json-simplify-35`
1256×	`rational.json-simplify-51`
1144×	`exponential.json-simplify-29`
934×	`rational.json-simplify-2`
898×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	255	3328
1	491	3260
2	1054	3260
3	2538	3260
4	5326	2900
5	6918	2900

Stop Event

1×	node limit

Counts

140 → 139

Calls

Call 1

Inputs
(log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))
(log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))
(log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))
(log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))
(.f64 1/256 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/256 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/256 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/256 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (*.f64 128 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16))) (log.f64 (log.f64 x)))
(-.f64 (*.f64 128 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16))) (log.f64 (log.f64 x)))
(-.f64 (*.f64 128 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16))) (log.f64 (log.f64 x)))
(-.f64 (*.f64 128 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16))) (log.f64 (log.f64 x)))
(-.f64 (.f64 128 (log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 128 (log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 128 (log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 128 (log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 (log.f64 x) 1/256) 0)
(+.f64 0 (*.f64 (log.f64 x) 1/256))
(+.f64 (.f64 (log.f64 x) 1/512) (.f64 (log.f64 x) 1/512))
(-.f64 (*.f64 (log.f64 x) 1/256) 0)
(.f64 1/16 (.f64 1/16 (log.f64 x)))
(.f64 (.f64 (log.f64 x) 1/256) 1)
(.f64 8 (.f64 2 (log.f64 (pow.f64 x 1/4096))))
(.f64 8 (.f64 1/256 (log.f64 (pow.f64 x 1/8))))
(*.f64 8 (log.f64 (pow.f64 x 1/2048)))
(*.f64 16 (log.f64 (pow.f64 x 1/4096)))
(.f64 (.f64 1/16 (log.f64 x)) 1/16)
(*.f64 (log.f64 x) 1/256)
(*.f64 (log.f64 (sqrt.f64 x)) 1/128)
(.f64 1 (.f64 (log.f64 x) 1/256))
(.f64 (.f64 (log.f64 x) 1/32) 1/8)
(.f64 1/2 (.f64 (log.f64 x) 1/128))
(*.f64 1/256 (log.f64 x))
(.f64 2 (.f64 (log.f64 x) 1/512))
(*.f64 (log.f64 (pow.f64 x 1/8)) 1/32)
(.f64 (.f64 (log.f64 x) 1/128) 1/2)
(.f64 (.f64 (log.f64 x) 2) 1/512)
(*.f64 (log.f64 (pow.f64 x 16)) 1/4096)
(*.f64 4 (/.f64 (log.f64 (pow.f64 x 1/8)) 128))
(.f64 (.f64 (log.f64 x) 1/64) 1/4)
(.f64 1/8 (.f64 (log.f64 x) 1/32))
(*.f64 (log.f64 (pow.f64 x 1/4096)) 16)
(*.f64 1/32 (log.f64 (pow.f64 x 1/8)))
(*.f64 256 (log.f64 (pow.f64 x 1/65536)))
(*.f64 1/4096 (log.f64 (pow.f64 x 16)))
(.f64 (.f64 2 (log.f64 (pow.f64 x 1/4096))) 8)
(*.f64 1/128 (log.f64 (sqrt.f64 x)))
(.f64 (.f64 1/256 (log.f64 (pow.f64 x 1/8))) 8)
(.f64 1/4 (.f64 (log.f64 x) 1/64))
(.f64 (.f64 (log.f64 x) 1/512) 2)
(*.f64 (log.f64 (pow.f64 x 256)) 1/65536)
(*.f64 (log.f64 (pow.f64 x 32)) 1/8192)
(*.f64 (log.f64 (pow.f64 x 1/2048)) 8)
(*.f64 1/65536 (log.f64 (pow.f64 x 256)))
(.f64 1/512 (.f64 (log.f64 x) 2))
(*.f64 4096 (log.f64 (pow.f64 (pow.f64 x 1/256) 1/4096)))
(*.f64 1/8192 (log.f64 (pow.f64 x 32)))
(*.f64 (/.f64 (log.f64 (pow.f64 x 1/8)) 128) 4)
(*.f64 (log.f64 (pow.f64 x 1/65536)) 256)
(*.f64 (log.f64 (pow.f64 (pow.f64 x 1/256) 1/4096)) 4096)
(/.f64 (*.f64 (log.f64 x) 1/256) 1)
(/.f64 (*.f64 1/16 (log.f64 x)) 16)
(/.f64 (log.f64 x) 256)
(/.f64 (log.f64 (sqrt.f64 x)) 128)
(/.f64 (*.f64 (log.f64 x) 1/32) 8)
(/.f64 (log.f64 (pow.f64 x 1/8)) 32)
(/.f64 (*.f64 (log.f64 x) 1/128) 2)
(/.f64 (*.f64 (log.f64 x) 2) 512)
(/.f64 (*.f64 (log.f64 x) 1/4) 64)
(/.f64 (*.f64 (log.f64 x) 1/64) 4)
(pow.f64 (*.f64 (log.f64 x) 1/256) 1)
(+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 0)
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(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (sqrt.f64 x)))
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(+.f64 (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1) -1)
(+.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1/2) (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1/2))
(+.f64 -2 (-.f64 1 (+.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)))
(+.f64 (+.f64 (.f64 (log.f64 x) 1/4) (.f64 (log.f64 x) 3/16)) (-.f64 (*.f64 1/16 (log.f64 x)) (log.f64 (log.f64 x))))
(+.f64 (*.f64 3 (log.f64 (pow.f64 x 1/8))) (-.f64 (log.f64 (pow.f64 x 1/8)) (log.f64 (log.f64 x))))
(*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)
(*.f64 1 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(.f64 1/2 (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2)))
(.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1/2))
(.f64 2 (-.f64 (.f64 (log.f64 x) 1/4) (log.f64 (sqrt.f64 (log.f64 x)))))
(.f64 (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2)) 1/2)
(*.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)
(*.f64 4 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))
(.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 1/4)
(*.f64 -1 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))
(.f64 1/4 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))
(.f64 1/4 (-.f64 (.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) 4)))
(.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1/2) 2)
(*.f64 (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)
(/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)
(/.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (log.f64 x)) 2)) 2)
(/.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))) -1)
(/.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4) 4)
(/.f64 (*.f64 2 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))))) 4)
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))))) -8)
(/.f64 (neg.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4))))) 64)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))))) (.f64 2 (neg.f64 (.f64 2 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))))) 8)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x)))))) (neg.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))))) 8)
(pow.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 (sqrt.f64 x))))
(-.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 0)
(-.f64 (+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 1)) 1)
(*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(*.f64 1 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(.f64 1/2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2))
(.f64 1/2 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2))))
(.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))
(.f64 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 x) (.f64 (log.f64 (log.f64 x)) 2))) 1/2)
(/.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 2) 2)
(/.f64 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 4))))) 64)
(pow.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) 1)

Outputs
(log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))
(log.f64 (pow.f64 (/.f64 1 x) -1/256))
(log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))
(log.f64 (pow.f64 (/.f64 1 x) -1/256))
(log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))
(log.f64 (pow.f64 (/.f64 1 x) -1/256))
(log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))
(log.f64 (pow.f64 (/.f64 1 x) -1/256))
(.f64 1/256 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 1/256 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/256 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 1/256 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/256 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 1/256 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 1/256 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 1/256 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (*.f64 128 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16))) (log.f64 (log.f64 x)))
(-.f64 (*.f64 128 (log.f64 (pow.f64 x 1/256))) (log.f64 (log.f64 x)))
(-.f64 (*.f64 1/16 (log.f64 (pow.f64 x 8))) (log.f64 (log.f64 x)))
(-.f64 (*.f64 1/256 (log.f64 (pow.f64 x 128))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
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(-.f64 (*.f64 128 (log.f64 (pow.f64 x 1/256))) (log.f64 (log.f64 x)))
(-.f64 (*.f64 1/16 (log.f64 (pow.f64 x 8))) (log.f64 (log.f64 x)))
(-.f64 (*.f64 1/256 (log.f64 (pow.f64 x 128))) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (*.f64 128 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16))) (log.f64 (log.f64 x)))
(-.f64 (*.f64 128 (log.f64 (pow.f64 x 1/256))) (log.f64 (log.f64 x)))
(-.f64 (*.f64 1/16 (log.f64 (pow.f64 x 8))) (log.f64 (log.f64 x)))
(-.f64 (*.f64 1/256 (log.f64 (pow.f64 x 128))) (log.f64 (log.f64 x)))
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(-.f64 (.f64 128 (log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 (log.f64 (pow.f64 (/.f64 1 x) -1/256)) 128) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 1/16 (log.f64 (pow.f64 (/.f64 1 x) -8))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 -1/16 (log.f64 (pow.f64 (/.f64 1 x) 8))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
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(-.f64 (.f64 (log.f64 (pow.f64 (/.f64 1 x) -1/256)) 128) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 1/16 (log.f64 (pow.f64 (/.f64 1 x) -8))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 -1/16 (log.f64 (pow.f64 (/.f64 1 x) 8))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 128 (log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 (log.f64 (pow.f64 (/.f64 1 x) -1/256)) 128) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 1/16 (log.f64 (pow.f64 (/.f64 1 x) -8))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 -1/16 (log.f64 (pow.f64 (/.f64 1 x) 8))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 128 (log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/16) 1/16))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 (log.f64 (pow.f64 (/.f64 1 x) -1/256)) 128) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 1/16 (log.f64 (pow.f64 (/.f64 1 x) -8))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 -1/16 (log.f64 (pow.f64 (/.f64 1 x) 8))) (log.f64 (neg.f64 (log.f64 (/.f64 1 x)))))
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(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/2) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/2) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/2) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/2) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/2) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/2) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 (log.f64 x) 1/256) 0)
(*.f64 1/256 (log.f64 x))
(+.f64 0 (*.f64 (log.f64 x) 1/256))
(*.f64 1/256 (log.f64 x))
(+.f64 (.f64 (log.f64 x) 1/512) (.f64 (log.f64 x) 1/512))
(*.f64 1/256 (log.f64 x))
(-.f64 (*.f64 (log.f64 x) 1/256) 0)
(*.f64 1/256 (log.f64 x))
(.f64 1/16 (.f64 1/16 (log.f64 x)))
(*.f64 1/256 (log.f64 x))
(.f64 (.f64 (log.f64 x) 1/256) 1)
(*.f64 1/256 (log.f64 x))
(.f64 8 (.f64 2 (log.f64 (pow.f64 x 1/4096))))
(*.f64 1/256 (log.f64 x))
(.f64 8 (.f64 1/256 (log.f64 (pow.f64 x 1/8))))
(*.f64 1/256 (log.f64 x))
(*.f64 8 (log.f64 (pow.f64 x 1/2048)))
(*.f64 1/256 (log.f64 x))
(*.f64 16 (log.f64 (pow.f64 x 1/4096)))
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(.f64 (.f64 1/16 (log.f64 x)) 1/16)
(*.f64 1/256 (log.f64 x))
(*.f64 (log.f64 x) 1/256)
(*.f64 1/256 (log.f64 x))
(*.f64 (log.f64 (sqrt.f64 x)) 1/128)
(*.f64 1/256 (log.f64 x))
(.f64 1 (.f64 (log.f64 x) 1/256))
(*.f64 1/256 (log.f64 x))
(.f64 (.f64 (log.f64 x) 1/32) 1/8)
(*.f64 1/256 (log.f64 x))
(.f64 1/2 (.f64 (log.f64 x) 1/128))
(*.f64 1/256 (log.f64 x))
(*.f64 1/256 (log.f64 x))
(.f64 2 (.f64 (log.f64 x) 1/512))
(*.f64 1/256 (log.f64 x))
(*.f64 (log.f64 (pow.f64 x 1/8)) 1/32)
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(.f64 (.f64 (log.f64 x) 1/128) 1/2)
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(.f64 (.f64 (log.f64 x) 2) 1/512)
(*.f64 1/256 (log.f64 x))
(*.f64 (log.f64 (pow.f64 x 16)) 1/4096)
(*.f64 1/256 (log.f64 x))
(*.f64 4 (/.f64 (log.f64 (pow.f64 x 1/8)) 128))
(*.f64 1/256 (log.f64 x))
(.f64 (.f64 (log.f64 x) 1/64) 1/4)
(*.f64 1/256 (log.f64 x))
(.f64 1/8 (.f64 (log.f64 x) 1/32))
(*.f64 1/256 (log.f64 x))
(*.f64 (log.f64 (pow.f64 x 1/4096)) 16)
(*.f64 1/256 (log.f64 x))
(*.f64 1/32 (log.f64 (pow.f64 x 1/8)))
(*.f64 1/256 (log.f64 x))
(*.f64 256 (log.f64 (pow.f64 x 1/65536)))
(*.f64 1/256 (log.f64 x))
(*.f64 1/4096 (log.f64 (pow.f64 x 16)))
(*.f64 1/256 (log.f64 x))
(.f64 (.f64 2 (log.f64 (pow.f64 x 1/4096))) 8)
(*.f64 1/256 (log.f64 x))
(*.f64 1/128 (log.f64 (sqrt.f64 x)))
(*.f64 1/256 (log.f64 x))
(.f64 (.f64 1/256 (log.f64 (pow.f64 x 1/8))) 8)
(*.f64 1/256 (log.f64 x))
(.f64 1/4 (.f64 (log.f64 x) 1/64))
(*.f64 1/256 (log.f64 x))
(.f64 (.f64 (log.f64 x) 1/512) 2)
(*.f64 1/256 (log.f64 x))
(*.f64 (log.f64 (pow.f64 x 256)) 1/65536)
(*.f64 1/256 (log.f64 x))
(*.f64 (log.f64 (pow.f64 x 32)) 1/8192)
(*.f64 1/256 (log.f64 x))
(*.f64 (log.f64 (pow.f64 x 1/2048)) 8)
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(*.f64 1/65536 (log.f64 (pow.f64 x 256)))
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(.f64 1/512 (.f64 (log.f64 x) 2))
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(*.f64 4096 (log.f64 (pow.f64 (pow.f64 x 1/256) 1/4096)))
(*.f64 1/256 (log.f64 x))
(*.f64 1/8192 (log.f64 (pow.f64 x 32)))
(*.f64 1/256 (log.f64 x))
(*.f64 (/.f64 (log.f64 (pow.f64 x 1/8)) 128) 4)
(*.f64 1/256 (log.f64 x))
(*.f64 (log.f64 (pow.f64 x 1/65536)) 256)
(*.f64 1/256 (log.f64 x))
(*.f64 (log.f64 (pow.f64 (pow.f64 x 1/256) 1/4096)) 4096)
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(/.f64 (*.f64 1/16 (log.f64 x)) 16)
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(/.f64 (*.f64 (log.f64 x) 2) 512)
(*.f64 1/256 (log.f64 x))
(/.f64 (*.f64 (log.f64 x) 1/4) 64)
(*.f64 1/256 (log.f64 x))
(/.f64 (*.f64 (log.f64 x) 1/64) 4)
(*.f64 1/256 (log.f64 x))
(pow.f64 (*.f64 (log.f64 x) 1/256) 1)
(*.f64 1/256 (log.f64 x))
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eval369.0ms (4.7%)

Compiler: Compiled 13499 to 7502 computations (44.4% saved)

prune538.0ms (6.8%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	759	10	769
Fresh	1	0	1
Picked	1	0	1
Done	2	4	6
Total	763	14	777

Error

0.0b

Counts

777 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
✓	0.3b	(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (/.f64 (log.f64 x) 2) (log.f64 (log.f64 x))))
	0.3b	(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (*.f64 8 (/.f64 (log.f64 (pow.f64 x 1/8)) 2)) (log.f64 (log.f64 x))))
	0.4b	(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (.f64 8 (.f64 8 (log.f64 (pow.f64 x 1/128)))) (log.f64 (log.f64 x))))
✓	0.3b	(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x))))
	45.1b	(+.f64 (/.f64 (log.f64 x) 2) (+.f64 (.f64 1/16 (log.f64 x)) (-.f64 (.f64 1/8 (log.f64 (pow.f64 x 7/2))) (log.f64 (log.f64 x)))))
✓	0.2b	(+.f64 (+.f64 (log.f64 x) 1) (-.f64 -1 (log.f64 (log.f64 x))))
	0.5b	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (*.f64 128 (log.f64 (pow.f64 x 1/256))) (log.f64 (log.f64 x))))
	1.3b	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 16 (*.f64 (log.f64 (pow.f64 x 1/2048)) 8))) (log.f64 (log.f64 x))))
	1.9b	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 16 (*.f64 (log.f64 (pow.f64 x 1/4096)) 16))) (log.f64 (log.f64 x))))
	0.3b	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 8 (/.f64 (log.f64 (pow.f64 x 1/64)) 2))) (log.f64 (log.f64 x))))
	0.8b	(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 8 (*.f64 8 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/64))))) (log.f64 (log.f64 x))))
	0.3b	(.f64 4 (+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (/.f64 (-.f64 (.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)) -2) 4)))
	0.3b	(*.f64 4 (+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (+.f64 (log.f64 (pow.f64 x 1/4)) (-.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (log.f64 x)))) 4)))

Compiler

Compiled 241 to 189 computations (21.6% saved)

regimes38.0ms (0.5%)

Accuracy

Total -45.9b remaining (-21762.2%)

Threshold costs -45.9b (-21762.2%)

Counts

21 → 1

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (+.f64 (log.f64 x) 1) (-.f64 -1 (log.f64 (log.f64 x))))
(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (/.f64 (log.f64 x) 2) (log.f64 (log.f64 x))))
(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x))))
(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (.f64 8 (.f64 8 (log.f64 (pow.f64 x 1/128)))) (log.f64 (log.f64 x))))
(+.f64 (/.f64 (log.f64 x) 2) (-.f64 (*.f64 8 (/.f64 (log.f64 (pow.f64 x 1/8)) 2)) (log.f64 (log.f64 x))))
(.f64 4 (+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (/.f64 (-.f64 (.f64 (log.f64 (log.f64 x)) 2) (log.f64 x)) -2) 4)))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (*.f64 8 (log.f64 (pow.f64 x 1/16))) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (*.f64 128 (log.f64 (pow.f64 x 1/256))) (log.f64 (log.f64 x))))
(*.f64 4 (+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))) 4)))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 8 (log.f64 (pow.f64 x 1/128)))) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 8 (/.f64 (log.f64 (pow.f64 x 1/64)) 2))) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 16 (*.f64 (log.f64 (pow.f64 x 1/4096)) 16))) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 16 (*.f64 (log.f64 (pow.f64 x 1/2048)) 8))) (log.f64 (log.f64 x))))
(+.f64 (/.f64 (log.f64 x) 2) (+.f64 (.f64 1/16 (log.f64 x)) (-.f64 (.f64 1/8 (log.f64 (pow.f64 x 7/2))) (log.f64 (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 16 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/16)))) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (.f64 1/16 (log.f64 x)) (-.f64 (.f64 1/8 (log.f64 (pow.f64 x 7/2))) (log.f64 (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (.f64 8 (.f64 8 (*.f64 8 (log.f64 (pow.f64 (pow.f64 x 1/16) 1/64))))) (log.f64 (log.f64 x))))
(*.f64 4 (+.f64 (log.f64 (pow.f64 x 1/8)) (/.f64 (+.f64 (log.f64 (pow.f64 x 1/4)) (-.f64 (log.f64 (pow.f64 x 1/4)) (log.f64 (log.f64 x)))) 4)))

Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Calls

3 calls:

10.0ms	(log.f64 x)
10.0ms	x
9.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
0.2b	1	`(log.f64 x)`

Compiler

Compiled 346 to 199 computations (42.5% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 7 to 4 computations (42.9% saved)

soundness0.0ms (0%)

end12.0ms (0.2%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

Details

analyze3.0ms (0%)

sample1.5s (19.1%)

preprocess3.0ms (0%)

simplify8.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series145.0ms (1.8%)

rewrite101.0ms (1.3%)

simplify237.0ms (3%)

eval44.0ms (0.6%)

prune12.0ms (0.1%)

localize13.0ms (0.2%)

series4.0ms (0%)

rewrite119.0ms (1.5%)

simplify106.0ms (1.3%)

localize13.0ms (0.2%)

series1.0ms (0%)

rewrite118.0ms (1.5%)

simplify387.0ms (4.9%)

eval119.0ms (1.5%)

prune42.0ms (0.5%)

localize37.0ms (0.5%)

series45.0ms (0.6%)

rewrite106.0ms (1.3%)

simplify152.0ms (1.9%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite113.0ms (1.4%)

simplify413.0ms (5.2%)

eval115.0ms (1.5%)

prune46.0ms (0.6%)

localize31.0ms (0.4%)

series114.0ms (1.4%)

rewrite101.0ms (1.3%)

simplify571.0ms (7.2%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite89.0ms (1.1%)

simplify641.0ms (8.1%)

localize35.0ms (0.4%)

series1.0ms (0%)

rewrite102.0ms (1.3%)

simplify402.0ms (5.1%)

localize40.0ms (0.5%)

series104.0ms (1.3%)

rewrite113.0ms (1.4%)

simplify126.0ms (1.6%)

localize73.0ms (0.9%)

series110.0ms (1.4%)

rewrite102.0ms (1.3%)

simplify132.0ms (1.7%)

eval369.0ms (4.7%)

prune538.0ms (6.8%)

regimes38.0ms (0.5%)

simplify1.0ms (0%)

soundness0.0ms (0%)

end12.0ms (0.2%)

Profiling