Details

analyze6.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

sample675.0ms (30.3%)

Results

665.0ms	8256×	body	256	valid
0.0ms	4×	body	256	invalid

Bogosity

preprocess11.0ms (0.5%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(atanh.f64 x)

Outputs
(atanh.f64 x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify160.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1496×	`rational.json-simplify-35`
1380×	`rational.json-simplify-2`
1344×	`rational.json-simplify-55`
868×	`rational.json-simplify-51`
820×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	22	29
2	48	29
3	97	29
4	220	29
5	571	29
6	2154	29
7	3803	29
8	5517	29
9	6649	29
10	7552	29

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

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

eval1.0ms (0%)

Compiler: Compiled 31 to 25 computations (19.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize15.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
✓	0.0b	(/.f64 (*.f64 2 x) (-.f64 1 x))

Compiler

Compiled 36 to 27 computations (25% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms	x	@	-inf	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms	x	@	inf	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms	x	@	inf	(/.f64 (*.f64 2 x) (-.f64 1 x))
0.0ms	x	@	0	(/.f64 (*.f64 2 x) (-.f64 1 x))

rewrite110.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1916×	`rational.json-1`
1916×	`rational.json-2`
1528×	`rational.json-simplify-35`
918×	`rational.json-simplify-2`
916×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	79	42
2	213	42
3	529	42
4	1522	42
5	3450	42
6	7120	42

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 2 (+.f64 1 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (-.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 1/2 (/.f64 2 (-.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 (/.f64 1 (-.f64 1 x)) 1/2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1 (.f64 (-.f64 1 x) 4)) (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 2 (.f64 (+.f64 x -1) 4)) (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 4 (/.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 1/2 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (/.f64 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (.f64 (/.f64 1 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x -2) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x -2) (.f64 -2 (/.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 2 (+.f64 1 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (.f64 x 1/2) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 4 (-.f64 1 x)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 8) (/.f64 1 (.f64 (-.f64 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 8) (.f64 (/.f64 1 (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 8) (.f64 1/2 (/.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (-.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (.f64 x -2) (/.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (.f64 (.f64 x 1/2) (/.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 x 8)) (.f64 1/4 (/.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 2 (-.f64 1 x))) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (.f64 (neg.f64 x) (/.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 1 (/.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (/.f64 4 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 2 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x 1/2) (-.f64 1 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (-.f64 1 x)) (.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x -1)) (.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 1/2) (.f64 2 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 1/2) (/.f64 4 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x -4) (/.f64 2 (.f64 (+.f64 x -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x -4) (.f64 -1 (/.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (-.f64 1 x)) 1/2) (.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 2 (-.f64 1 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (-.f64 1 x)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 x -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 x -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (-.f64 1 x) 4)) (.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (+.f64 x -1) 4)) (.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 (+.f64 x -1))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (-.f64 1 x)) 1/4) (.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 x 4) (/.f64 x 4)) (*.f64 4 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 2 (+.f64 1 (/.f64 -1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2) (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4))) (.f64 2 (.f64 2 (*.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2) (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4))) (*.f64 2 (*.f64 2 (*.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)))))

simplify131.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1446×	`rational.json-simplify-52`
1090×	`rational.json-simplify-1`
1050×	`rational.json-simplify-53`
1008×	`rational.json-simplify-35`
956×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	205	3053
1	451	2435
2	933	2411
3	1823	2405
4	3573	2387
5	5159	2387
6	6704	2387

Stop Event

1×	node limit

Counts

103 → 142

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 0)
(+.f64 0 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(+.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(+.f64 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))) -1)
(-.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 0)
(-.f64 0 (/.f64 2 (+.f64 1 (/.f64 -1 x))))
(-.f64 (/.f64 2 (-.f64 1 x)) 2)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 2 (.f64 (*.f64 1/2 (/.f64 2 (-.f64 1 x))) x))
(.f64 2 (.f64 (*.f64 (/.f64 1 (-.f64 1 x)) 1/2) (+.f64 x x)))
(.f64 2 (.f64 (/.f64 1 (.f64 (-.f64 1 x) 4)) (.f64 x 4)))
(.f64 2 (.f64 (/.f64 2 (.f64 (+.f64 x -1) 4)) (.f64 x -2)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(.f64 x (.f64 4 (/.f64 1/2 (-.f64 1 x))))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 2 (-.f64 1 x))))
(*.f64 1 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)
(.f64 (.f64 x 4) (/.f64 1/2 (-.f64 1 x)))
(.f64 (.f64 x 4) (*.f64 (/.f64 1 (-.f64 1 x)) 1/2))
(.f64 (.f64 x -2) (/.f64 1 (+.f64 x -1)))
(.f64 (.f64 x -2) (*.f64 -2 (/.f64 1/2 (-.f64 1 x))))
(*.f64 -1 (/.f64 2 (+.f64 1 (/.f64 -1 x))))
(.f64 4 (/.f64 (.f64 x 1/2) (-.f64 1 x)))
(*.f64 (-.f64 (/.f64 4 (-.f64 1 x)) 4) 1/2)
(.f64 (.f64 x 8) (/.f64 1 (*.f64 (-.f64 1 x) 4)))
(.f64 (.f64 x 8) (*.f64 (/.f64 1 (-.f64 1 x)) 1/4))
(.f64 (.f64 x 8) (*.f64 1/2 (/.f64 1/2 (-.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 -2 (.f64 (*.f64 x -2) (/.f64 1/2 (-.f64 1 x))))
(.f64 8 (.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x 4)))
(.f64 8 (.f64 (*.f64 x 1/2) (/.f64 1/2 (-.f64 1 x))))
(.f64 (.f64 2 (.f64 x 8)) (.f64 1/4 (/.f64 1/2 (-.f64 1 x))))
(.f64 (.f64 2 (/.f64 2 (-.f64 1 x))) (*.f64 x 1/2))
(.f64 -4 (.f64 (neg.f64 x) (/.f64 1/2 (-.f64 1 x))))
(*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 x))) -1)
(*.f64 1/2 (-.f64 (/.f64 4 (-.f64 1 x)) 4))
(*.f64 (neg.f64 x) (/.f64 2 (+.f64 x -1)))
(.f64 (/.f64 (.f64 x 1/2) (-.f64 1 x)) 4)
(.f64 (/.f64 1/2 (-.f64 1 x)) (.f64 x 4))
(.f64 (/.f64 1 (+.f64 x -1)) (.f64 x -2))
(.f64 (.f64 x 1/2) (*.f64 2 (/.f64 2 (-.f64 1 x))))
(.f64 (.f64 x 1/2) (/.f64 4 (-.f64 1 x)))
(.f64 (.f64 x -4) (/.f64 2 (*.f64 (+.f64 x -1) 4)))
(.f64 (.f64 x -4) (*.f64 -1 (/.f64 1/2 (-.f64 1 x))))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(.f64 (.f64 (/.f64 1 (-.f64 1 x)) 1/2) (*.f64 x 4))
(.f64 (.f64 1/2 (/.f64 2 (-.f64 1 x))) (+.f64 x x))
(.f64 (/.f64 4 (-.f64 1 x)) (.f64 x 1/2))
(*.f64 (/.f64 2 (+.f64 x -1)) (neg.f64 x))
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(.f64 (/.f64 1 (.f64 (-.f64 1 x) 4)) (*.f64 x 8))
(.f64 (/.f64 2 (.f64 (+.f64 x -1) 4)) (*.f64 x -4))
(.f64 (.f64 2 (/.f64 1 (+.f64 x -1))) (neg.f64 x))
(.f64 (.f64 (/.f64 1 (-.f64 1 x)) 1/4) (*.f64 x 8))
(.f64 (.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x 4)) 8)
(.f64 (+.f64 (/.f64 x 4) (/.f64 x 4)) (.f64 4 (/.f64 1 (-.f64 1 x))))
(pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)
(neg.f64 (/.f64 2 (+.f64 1 (/.f64 -1 x))))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 0)
(+.f64 0 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(+.f64 (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2) (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))
(-.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 0)
(*.f64 2 (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)
(.f64 (.f64 2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 1/2)
(.f64 1/2 (.f64 2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(*.f64 (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2) 2)
(/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)
(/.f64 (*.f64 2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)
(/.f64 (*.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4) 4)
(/.f64 (.f64 2 (.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4))) (.f64 2 (.f64 2 (.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4)))) 32)
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2)))
(*.f64 2 (+.f64 (pow.f64 x 2) x))
(*.f64 2 (+.f64 x (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (*.f64 2 (pow.f64 x 3))))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (+.f64 x (pow.f64 x 3))))
(*.f64 2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 2))))
(*.f64 2 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3))))
(*.f64 2 (+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3)))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 (+.f64 (pow.f64 x 4) x))))
(+.f64 (.f64 2 x) (.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 x 4)))))
(*.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 4)))))
(*.f64 2 (+.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 (pow.f64 x 3) 2/3))
(+.f64 (*.f64 (pow.f64 x 3) 2/3) (+.f64 x x))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (*.f64 2 x)))
(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2 x) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 x x)))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2 x))) (.f64 2/7 (pow.f64 x 7)))
(+.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2 x) (.f64 2/5 (pow.f64 x 5)))) (.f64 2/7 (pow.f64 x 7)))
(+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/7 (pow.f64 x 7)))))
(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 x x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 -1)) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (log.f64 -1)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (log.f64 -1) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (log.f64 -1))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (+.f64 (log.f64 -1) (.f64 2/5 (/.f64 1 (pow.f64 x 5)))) (*.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (log.f64 -1) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (log.f64 -1) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 -1)) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (log.f64 -1)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (log.f64 -1) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (log.f64 -1))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (+.f64 (log.f64 -1) (.f64 2/5 (/.f64 1 (pow.f64 x 5)))) (*.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (log.f64 -1) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (log.f64 -1) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 -2 (-.f64 1 (/.f64 1 x)))
(+.f64 0 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 -2 (-.f64 1 (/.f64 1 x)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(+.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(+.f64 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))) -1)
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(-.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 -2 (-.f64 1 (/.f64 1 x)))
(-.f64 0 (/.f64 2 (+.f64 1 (/.f64 -1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(-.f64 (/.f64 2 (-.f64 1 x)) 2)
(-.f64 (/.f64 -2 (+.f64 x -1)) 2)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 2 (.f64 (*.f64 1/2 (/.f64 2 (-.f64 1 x))) x))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 2 (.f64 (*.f64 (/.f64 1 (-.f64 1 x)) 1/2) (+.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 2 (.f64 (/.f64 1 (.f64 (-.f64 1 x) 4)) (.f64 x 4)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 2 (.f64 (/.f64 2 (.f64 (+.f64 x -1) 4)) (.f64 x -2)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 x (.f64 4 (/.f64 1/2 (-.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 2 (-.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 1 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 -2 (-.f64 1 (/.f64 1 x)))
(*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 -2 (-.f64 1 (/.f64 1 x)))
(.f64 (.f64 x 4) (/.f64 1/2 (-.f64 1 x)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 x 4) (*.f64 (/.f64 1 (-.f64 1 x)) 1/2))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 x -2) (/.f64 1 (+.f64 x -1)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 x -2) (*.f64 -2 (/.f64 1/2 (-.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 -1 (/.f64 2 (+.f64 1 (/.f64 -1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 4 (/.f64 (.f64 x 1/2) (-.f64 1 x)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 (-.f64 (/.f64 4 (-.f64 1 x)) 4) 1/2)
(*.f64 1/2 (-.f64 (/.f64 4 (-.f64 1 x)) 4))
(.f64 (.f64 x 8) (/.f64 1 (*.f64 (-.f64 1 x) 4)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 x 8) (*.f64 (/.f64 1 (-.f64 1 x)) 1/4))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 x 8) (*.f64 1/2 (/.f64 1/2 (-.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(.f64 -2 (.f64 (*.f64 x -2) (/.f64 1/2 (-.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 8 (.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x 4)))
(.f64 (/.f64 -1 (+.f64 x -1)) (.f64 (/.f64 x 4) 8))
(.f64 (/.f64 -1 (+.f64 x -1)) (.f64 8 (/.f64 x 4)))
(.f64 (/.f64 1 (-.f64 1 x)) (.f64 8 (/.f64 x 4)))
(*.f64 8 (/.f64 (/.f64 x (-.f64 1 x)) 4))
(.f64 8 (.f64 (*.f64 x 1/2) (/.f64 1/2 (-.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 2 (.f64 x 8)) (.f64 1/4 (/.f64 1/2 (-.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 2 (/.f64 2 (-.f64 1 x))) (*.f64 x 1/2))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 -4 (.f64 (neg.f64 x) (/.f64 1/2 (-.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 x))) -1)
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 1/2 (-.f64 (/.f64 4 (-.f64 1 x)) 4))
(*.f64 (neg.f64 x) (/.f64 2 (+.f64 x -1)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (/.f64 (.f64 x 1/2) (-.f64 1 x)) 4)
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (/.f64 1/2 (-.f64 1 x)) (.f64 x 4))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (/.f64 1 (+.f64 x -1)) (.f64 x -2))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 x 1/2) (*.f64 2 (/.f64 2 (-.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 x 1/2) (/.f64 4 (-.f64 1 x)))
(.f64 1/2 (.f64 x (/.f64 4 (-.f64 1 x))))
(.f64 (.f64 x -4) (/.f64 2 (*.f64 (+.f64 x -1) 4)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 x -4) (*.f64 -1 (/.f64 1/2 (-.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 (/.f64 1 (-.f64 1 x)) 1/2) (*.f64 x 4))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 1/2 (/.f64 2 (-.f64 1 x))) (+.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (/.f64 4 (-.f64 1 x)) (.f64 x 1/2))
(.f64 (.f64 x 1/2) (/.f64 4 (-.f64 1 x)))
(.f64 1/2 (.f64 x (/.f64 4 (-.f64 1 x))))
(*.f64 (/.f64 2 (+.f64 x -1)) (neg.f64 x))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (/.f64 1 (.f64 (-.f64 1 x) 4)) (*.f64 x 8))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (/.f64 2 (.f64 (+.f64 x -1) 4)) (*.f64 x -4))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 2 (/.f64 1 (+.f64 x -1))) (neg.f64 x))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 (/.f64 1 (-.f64 1 x)) 1/4) (*.f64 x 8))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x 4)) 8)
(.f64 (/.f64 -1 (+.f64 x -1)) (.f64 (/.f64 x 4) 8))
(.f64 (/.f64 -1 (+.f64 x -1)) (.f64 8 (/.f64 x 4)))
(.f64 (/.f64 1 (-.f64 1 x)) (.f64 8 (/.f64 x 4)))
(*.f64 8 (/.f64 (/.f64 x (-.f64 1 x)) 4))
(.f64 (+.f64 (/.f64 x 4) (/.f64 x 4)) (.f64 4 (/.f64 1 (-.f64 1 x))))
(.f64 (/.f64 -1 (+.f64 x -1)) (.f64 (/.f64 x 4) 8))
(.f64 (/.f64 -1 (+.f64 x -1)) (.f64 8 (/.f64 x 4)))
(.f64 (/.f64 1 (-.f64 1 x)) (.f64 8 (/.f64 x 4)))
(*.f64 8 (/.f64 (/.f64 x (-.f64 1 x)) 4))
(pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 -2 (-.f64 1 (/.f64 1 x)))
(neg.f64 (/.f64 2 (+.f64 1 (/.f64 -1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(+.f64 0 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(+.f64 (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2) (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(-.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(*.f64 2 (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(.f64 (.f64 2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 1/2)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(.f64 1/2 (.f64 2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2) 2)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(/.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(/.f64 (*.f64 2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(/.f64 (*.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4) 4)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(/.f64 (.f64 2 (.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4)) 8)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4))) 16)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4))) (.f64 2 (.f64 2 (.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 4)))) 32)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (-.f64 1 (/.f64 1 x))))

eval45.0ms (2%)

Compiler: Compiled 2076 to 1774 computations (14.5% saved)

prune20.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	138	4	142
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	138	5	143

Error

0.0b

Counts

143 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
▶	58.9b	(*.f64 1/2 (log1p.f64 (-.f64 (/.f64 2 (-.f64 1 x)) 2)))
▶	1.4b	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶	64.0b	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 45 to 39 computations (13.3% saved)

localize4.0ms (0.2%)

Compiler: Compiled 9 to 9 computations (0% saved)

localize6.0ms (0.3%)

Compiler: Compiled 16 to 6 computations (62.5% saved)

localize17.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (-.f64 (/.f64 2 (-.f64 1 x)) 2))
✓	0.0b	(/.f64 2 (-.f64 1 x))
✓	6.3b	(-.f64 (/.f64 2 (-.f64 1 x)) 2)

Compiler

Compiled 38 to 32 computations (15.8% saved)

series1.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f64 (-.f64 (/.f64 2 (-.f64 1 x)) 2))
0.0ms	x	@	0	(-.f64 (/.f64 2 (-.f64 1 x)) 2)
0.0ms	x	@	inf	(log1p.f64 (-.f64 (/.f64 2 (-.f64 1 x)) 2))
0.0ms	x	@	-inf	(log1p.f64 (-.f64 (/.f64 2 (-.f64 1 x)) 2))
0.0ms	x	@	inf	(-.f64 (/.f64 2 (-.f64 1 x)) 2)

rewrite82.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1224×	`rational.json-1`
1224×	`rational.json-2`
1224×	`rational.json-3`
1218×	`rational.json-4`
1214×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	78	55
2	186	55
3	378	55
4	752	55
5	1970	55
6	5347	55

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs
(-.f64 (/.f64 2 (-.f64 1 x)) 2)
(/.f64 2 (-.f64 1 x))
(log1p.f64 (-.f64 (/.f64 2 (-.f64 1 x)) 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (-.f64 1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 2 (-.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1/2) (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (-.f64 1 (/.f64 2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 2 (-.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (/.f64 2 (-.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (.f64 2 (neg.f64 (.f64 (+.f64 x -1) -1/2)))) (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 2 (/.f64 (-.f64 1 x) -2)) 1) (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 2 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (+.f64 x -1)) (/.f64 (/.f64 -1 (+.f64 x -1)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 2 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4 (+.f64 x -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x -1) -1/2) (/.f64 (/.f64 -4 (+.f64 x -1)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 -4 (+.f64 x -1))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 -4 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 x -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (/.f64 -4 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 -8 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x -1) -4) (/.f64 (/.f64 -8 (+.f64 x -1)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -8 (+.f64 x -1)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (-.f64 1 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -8 (+.f64 x -1)) (-.f64 1 x)) (/.f64 (+.f64 x -1) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -4 (+.f64 x -1)) (-.f64 1 x)) (.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 (-.f64 1 x)) (-.f64 1 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -1 (+.f64 x -1)) (-.f64 1 x)) (.f64 -2 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 2 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2 (/.f64 1 (+.f64 x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2) (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1)))))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2) (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1)))))

simplify149.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

1232×	`rational.json-simplify-41`
1022×	`rational.json-simplify-35`
884×	`rational.json-simplify-2`
802×	`rational.json-simplify-51`
676×	`rational.json-simplify-50`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	204	3076
1	440	2986
2	1021	2924
3	2637	2906
4	5289	2906
5	6017	2858
6	7559	2858

Stop Event

1×	node limit

Counts

116 → 174

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
2
(+.f64 (*.f64 2 x) 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 2))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2 (-.f64 1 x)) -2)
(+.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 0)
(+.f64 0 (+.f64 (/.f64 2 (-.f64 1 x)) -2))
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1/2) (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1/2))
(+.f64 -3 (-.f64 1 (/.f64 2 (+.f64 x -1))))
(.f64 2 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1/2))
(*.f64 1 (+.f64 (/.f64 2 (-.f64 1 x)) -2))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1)
(*.f64 4 (/.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4))
(.f64 (.f64 2 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2)
(.f64 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (/.f64 2 (-.f64 1 x)) -2)))
(.f64 1/4 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4))
(.f64 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1/2) 2)
(*.f64 (/.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4) 4)
(.f64 (+.f64 1 (.f64 2 (neg.f64 (*.f64 (+.f64 x -1) -1/2)))) (/.f64 2 (-.f64 1 x)))
(.f64 (+.f64 (.f64 2 (/.f64 (-.f64 1 x) -2)) 1) (/.f64 2 (-.f64 1 x)))
(/.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1)
(/.f64 (*.f64 2 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 2)
(/.f64 (*.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4) 4)
(/.f64 (*.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 8))) 32)
(pow.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1)
(+.f64 (/.f64 2 (-.f64 1 x)) 0)
(+.f64 0 (/.f64 2 (-.f64 1 x)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 x -1))))
(+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))
(-.f64 (/.f64 2 (-.f64 1 x)) 0)
(-.f64 0 (/.f64 2 (+.f64 x -1)))
(-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))
(*.f64 2 (/.f64 -1 (+.f64 x -1)))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) 1)
(*.f64 4 (/.f64 1/2 (-.f64 1 x)))
(.f64 (.f64 -2 (+.f64 x -1)) (/.f64 (/.f64 -1 (+.f64 x -1)) (-.f64 1 x)))
(*.f64 -1 (/.f64 2 (+.f64 x -1)))
(*.f64 (/.f64 -4 (+.f64 x -1)) 1/2)
(.f64 (.f64 (+.f64 x -1) -1/2) (/.f64 (/.f64 -4 (+.f64 x -1)) (-.f64 1 x)))
(.f64 (.f64 2 (/.f64 -4 (+.f64 x -1))) 1/4)
(*.f64 1/2 (/.f64 -4 (+.f64 x -1)))
(*.f64 (/.f64 -1 (+.f64 x -1)) 2)
(.f64 1/4 (.f64 2 (/.f64 -4 (+.f64 x -1))))
(*.f64 1/4 (/.f64 -8 (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 x -1) -4) (/.f64 (/.f64 -8 (+.f64 x -1)) (-.f64 1 x)))
(*.f64 (/.f64 -8 (+.f64 x -1)) 1/4)
(*.f64 (/.f64 1/2 (-.f64 1 x)) 4)
(*.f64 (/.f64 2 (+.f64 x -1)) -1)
(*.f64 (/.f64 (/.f64 -8 (+.f64 x -1)) (-.f64 1 x)) (/.f64 (+.f64 x -1) -4))
(.f64 (/.f64 (/.f64 -4 (+.f64 x -1)) (-.f64 1 x)) (.f64 (+.f64 x -1) -1/2))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (-.f64 1 x)) (-.f64 1 x))
(.f64 (/.f64 (/.f64 -1 (+.f64 x -1)) (-.f64 1 x)) (.f64 -2 (+.f64 x -1)))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(neg.f64 (/.f64 2 (+.f64 x -1)))
(neg.f64 (*.f64 2 (/.f64 1 (+.f64 x -1))))
(+.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 0)
(+.f64 0 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)))
(+.f64 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2) (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2))
(-.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 0)
(.f64 2 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2))
(*.f64 1 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)))
(*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1)
(*.f64 4 (/.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4))
(.f64 (.f64 2 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2))) 1/2)
(.f64 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4) 1/4)
(.f64 1/2 (.f64 2 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2))))
(.f64 1/4 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4))
(.f64 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2) 2)
(*.f64 (/.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4) 4)
(/.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1)
(/.f64 (*.f64 2 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2))) 2)
(/.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4) 4)
(/.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 8) 8)
(/.f64 (.f64 2 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 8))) 32)
(pow.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1)

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2)))
(*.f64 2 (+.f64 (pow.f64 x 2) x))
(*.f64 2 (+.f64 x (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (*.f64 2 (pow.f64 x 3))))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (+.f64 x (pow.f64 x 3))))
(*.f64 2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 2))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3)))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 (+.f64 (pow.f64 x 4) x))))
(+.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 4)))))
(*.f64 2 (+.f64 (+.f64 x (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))))
2
(+.f64 (*.f64 2 x) 2)
(+.f64 2 (*.f64 2 x))
(+.f64 2 (+.f64 x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (.f64 2 x)))
(+.f64 2 (*.f64 2 (+.f64 (pow.f64 x 2) x)))
(+.f64 2 (*.f64 2 (+.f64 x (pow.f64 x 2))))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (+.f64 2 (.f64 2 x)) (*.f64 2 (pow.f64 x 3))))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 2 (.f64 2 (+.f64 (pow.f64 x 2) x))))
(+.f64 2 (*.f64 2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 2)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) -2)
(*.f64 -2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (*.f64 2 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (.f64 2 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) (*.f64 2 (/.f64 1 (pow.f64 x 4)))))
(neg.f64 (+.f64 (.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) -2)
(*.f64 -2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (*.f64 2 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (.f64 2 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) (*.f64 2 (/.f64 1 (pow.f64 x 4)))))
(neg.f64 (+.f64 (.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 (pow.f64 x 3) 2/3))
(+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 2/3))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (+.f64 x x) (.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(+.f64 (.f64 2 x) (+.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5))) (.f64 2/7 (pow.f64 x 7))))
(+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/7 (pow.f64 x 7)))))
(+.f64 (+.f64 x x) (+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (*.f64 2/7 (pow.f64 x 7)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (log.f64 -1)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (log.f64 -1) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5)))) (*.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (+.f64 (log.f64 -1) (.f64 2/5 (/.f64 1 (pow.f64 x 5)))) (*.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (log.f64 -1) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (log.f64 -1) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (log.f64 -1)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (log.f64 -1) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5)))) (*.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (+.f64 (log.f64 -1) (.f64 2/5 (/.f64 1 (pow.f64 x 5)))) (*.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (log.f64 -1) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (log.f64 -1) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2 (-.f64 1 x)) -2)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(+.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 0)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(+.f64 0 (+.f64 (/.f64 2 (-.f64 1 x)) -2))
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(+.f64 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1/2) (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1/2))
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(+.f64 -3 (-.f64 1 (/.f64 2 (+.f64 x -1))))
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(.f64 2 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1/2))
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(*.f64 1 (+.f64 (/.f64 2 (-.f64 1 x)) -2))
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(*.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(*.f64 4 (/.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4))
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 2 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4) 1/4)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(.f64 1/2 (.f64 2 (+.f64 (/.f64 2 (-.f64 1 x)) -2)))
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(.f64 1/4 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4))
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1/2) 2)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4) 4)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(.f64 (+.f64 1 (.f64 2 (neg.f64 (*.f64 (+.f64 x -1) -1/2)))) (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(.f64 (+.f64 (.f64 2 (/.f64 (-.f64 1 x) -2)) 1) (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(/.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(/.f64 (*.f64 2 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 2)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 4) 4)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 8) 8)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 8)) 16)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 8))) 32)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(pow.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2) 1)
(+.f64 -2 (/.f64 2 (-.f64 1 x)))
(+.f64 -2 (/.f64 -2 (+.f64 x -1)))
(+.f64 (/.f64 2 (-.f64 1 x)) 0)
(/.f64 2 (-.f64 1 x))
(/.f64 -2 (+.f64 x -1))
(+.f64 0 (/.f64 2 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(/.f64 -2 (+.f64 x -1))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 x -1))))
(/.f64 2 (-.f64 1 x))
(/.f64 -2 (+.f64 x -1))
(+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(-.f64 (/.f64 2 (-.f64 1 x)) 0)
(/.f64 2 (-.f64 1 x))
(/.f64 -2 (+.f64 x -1))
(-.f64 0 (/.f64 2 (+.f64 x -1)))
(/.f64 2 (-.f64 1 x))
(/.f64 -2 (+.f64 x -1))
(-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(*.f64 -2 (/.f64 1 (+.f64 x -1)))
(*.f64 2 (/.f64 -1 (+.f64 x -1)))
(-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(*.f64 -2 (/.f64 1 (+.f64 x -1)))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(/.f64 -2 (+.f64 x -1))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (-.f64 1 x)))
(.f64 (-.f64 1 x) (/.f64 2 (.f64 (-.f64 1 x) (-.f64 1 x))))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 2 (+.f64 x -1)) (+.f64 x -1)))
(*.f64 (/.f64 2 (-.f64 1 x)) 1)
(/.f64 2 (-.f64 1 x))
(/.f64 -2 (+.f64 x -1))
(*.f64 4 (/.f64 1/2 (-.f64 1 x)))
(*.f64 4 (/.f64 -1/2 (+.f64 x -1)))
(.f64 (.f64 -2 (+.f64 x -1)) (/.f64 (/.f64 -1 (+.f64 x -1)) (-.f64 1 x)))
(+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(*.f64 -1 (/.f64 2 (+.f64 x -1)))
(/.f64 2 (-.f64 1 x))
(/.f64 -2 (+.f64 x -1))
(*.f64 (/.f64 -4 (+.f64 x -1)) 1/2)
(*.f64 1/2 (/.f64 -4 (+.f64 x -1)))
(*.f64 1/2 (/.f64 4 (-.f64 1 x)))
(.f64 (.f64 (+.f64 x -1) -1/2) (/.f64 (/.f64 -4 (+.f64 x -1)) (-.f64 1 x)))
(.f64 (+.f64 x -1) (.f64 -1/2 (/.f64 -4 (*.f64 (+.f64 x -1) (-.f64 1 x)))))
(.f64 (+.f64 x -1) (.f64 -1/2 (/.f64 -4 (*.f64 (-.f64 1 x) (+.f64 x -1)))))
(.f64 (+.f64 x -1) (.f64 -1/2 (/.f64 4 (*.f64 (-.f64 1 x) (-.f64 1 x)))))
(.f64 (.f64 (+.f64 x -1) -1/2) (/.f64 (/.f64 4 (+.f64 x -1)) (+.f64 x -1)))
(.f64 (.f64 2 (/.f64 -4 (+.f64 x -1))) 1/4)
(*.f64 1/2 (/.f64 -4 (+.f64 x -1)))
(*.f64 1/2 (/.f64 4 (-.f64 1 x)))
(*.f64 1/2 (/.f64 -4 (+.f64 x -1)))
(*.f64 1/2 (/.f64 4 (-.f64 1 x)))
(*.f64 (/.f64 -1 (+.f64 x -1)) 2)
(-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(*.f64 -2 (/.f64 1 (+.f64 x -1)))
(.f64 1/4 (.f64 2 (/.f64 -4 (+.f64 x -1))))
(*.f64 1/2 (/.f64 -4 (+.f64 x -1)))
(*.f64 1/2 (/.f64 4 (-.f64 1 x)))
(*.f64 1/4 (/.f64 -8 (+.f64 x -1)))
(*.f64 1/4 (/.f64 8 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x -1) -4) (/.f64 (/.f64 -8 (+.f64 x -1)) (-.f64 1 x)))
(+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 -8 (+.f64 x -1)) 1/4)
(*.f64 1/4 (/.f64 -8 (+.f64 x -1)))
(*.f64 1/4 (/.f64 8 (-.f64 1 x)))
(*.f64 (/.f64 1/2 (-.f64 1 x)) 4)
(*.f64 4 (/.f64 1/2 (-.f64 1 x)))
(*.f64 4 (/.f64 -1/2 (+.f64 x -1)))
(*.f64 (/.f64 2 (+.f64 x -1)) -1)
(/.f64 2 (-.f64 1 x))
(/.f64 -2 (+.f64 x -1))
(*.f64 (/.f64 (/.f64 -8 (+.f64 x -1)) (-.f64 1 x)) (/.f64 (+.f64 x -1) -4))
(+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(.f64 (/.f64 (/.f64 -4 (+.f64 x -1)) (-.f64 1 x)) (.f64 (+.f64 x -1) -1/2))
(.f64 (+.f64 x -1) (.f64 -1/2 (/.f64 -4 (*.f64 (+.f64 x -1) (-.f64 1 x)))))
(.f64 (+.f64 x -1) (.f64 -1/2 (/.f64 -4 (*.f64 (-.f64 1 x) (+.f64 x -1)))))
(.f64 (+.f64 x -1) (.f64 -1/2 (/.f64 4 (*.f64 (-.f64 1 x) (-.f64 1 x)))))
(.f64 (.f64 (+.f64 x -1) -1/2) (/.f64 (/.f64 4 (+.f64 x -1)) (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (-.f64 1 x)) (-.f64 1 x))
(.f64 (-.f64 1 x) (/.f64 2 (.f64 (-.f64 1 x) (-.f64 1 x))))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 2 (+.f64 x -1)) (+.f64 x -1)))
(.f64 (/.f64 (/.f64 -1 (+.f64 x -1)) (-.f64 1 x)) (.f64 -2 (+.f64 x -1)))
(+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(/.f64 2 (-.f64 1 x))
(/.f64 -2 (+.f64 x -1))
(neg.f64 (/.f64 2 (+.f64 x -1)))
(/.f64 2 (-.f64 1 x))
(/.f64 -2 (+.f64 x -1))
(neg.f64 (*.f64 2 (/.f64 1 (+.f64 x -1))))
(-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(*.f64 -2 (/.f64 1 (+.f64 x -1)))
(+.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 0)
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(+.f64 0 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)))
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(+.f64 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2) (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2))
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(-.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 0)
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(.f64 2 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2))
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(*.f64 1 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)))
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1)
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(*.f64 4 (/.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4))
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(.f64 (.f64 2 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2))) 1/2)
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(.f64 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4) 1/4)
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(.f64 1/2 (.f64 2 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2))))
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(.f64 1/4 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4))
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(.f64 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1/2) 2)
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(*.f64 (/.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4) 4)
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(/.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1)
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(/.f64 (*.f64 2 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2))) 2)
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(/.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 4) 4)
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(/.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 8) 8)
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(/.f64 (.f64 2 (.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 8)) 16)
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 8))) 32)
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))
(pow.f64 (log1p.f64 (+.f64 (/.f64 2 (-.f64 1 x)) -2)) 1)
(log1p.f64 (+.f64 -2 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (+.f64 -2 (/.f64 -2 (+.f64 x -1))))

localize99.0ms (4.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x))))
✓	0.0b	(-.f64 -1 (/.f64 -1 x))
✓	0.2b	(/.f64 2 (-.f64 -1 (/.f64 -1 x)))

Compiler

Compiled 38 to 32 computations (15.8% saved)

series1.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x))))
0.0ms	x	@	0	(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
0.0ms	x	@	inf	(log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x))))
0.0ms	x	@	inf	(-.f64 -1 (/.f64 -1 x))
0.0ms	x	@	0	(-.f64 -1 (/.f64 -1 x))

rewrite102.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`rational.json-1`
1666×	`rational.json-2`
1666×	`rational.json-3`
1660×	`rational.json-4`
1290×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	76	55
2	196	55
3	420	55
4	901	55
5	2654	55
6	6618	55

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(-.f64 -1 (/.f64 -1 x))
(log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x))))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1/2) (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 8)) (*.f64 2 (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1)))))

simplify95.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational.json-simplify-51`
1024×	`rational.json-simplify-46`
916×	`rational.json-simplify-41`
900×	`rational.json-simplify-43`
892×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	3473
1	469	3351
2	1331	3055
3	5912	2987

Stop Event

1×	node limit

Counts

133 → 165

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
-1
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
-1
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))) 0)
(+.f64 0 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(+.f64 (/.f64 -2 (+.f64 2 (/.f64 -2 x))) (/.f64 -2 (+.f64 2 (/.f64 -2 x))))
(-.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))) 0)
(-.f64 (/.f64 -2 (+.f64 2 (/.f64 -2 x))) (/.f64 2 (+.f64 2 (/.f64 -2 x))))
(*.f64 2 (/.f64 -2 (+.f64 2 (/.f64 -2 x))))
(.f64 -1 (/.f64 (+.f64 (/.f64 -1 x) 1) (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))))
(.f64 (-.f64 -1 (/.f64 -1 x)) (/.f64 1 (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))))
(*.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))) 1)
(*.f64 1 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(*.f64 4 (/.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))) 4))
(.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (/.f64 1/2 (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))))
(*.f64 (/.f64 -8 (+.f64 2 (/.f64 -2 x))) 1/2)
(.f64 (.f64 (+.f64 (/.f64 -1 x) 1) -1/2) (/.f64 2 (.f64 (-.f64 -1 (/.f64 -1 x)) (.f64 (+.f64 (/.f64 -1 x) 1) -1/2))))
(.f64 (.f64 2 (/.f64 -8 (+.f64 2 (/.f64 -2 x)))) 1/4)
(*.f64 1/2 (/.f64 -8 (+.f64 2 (/.f64 -2 x))))
(*.f64 (/.f64 -2 (+.f64 2 (/.f64 -2 x))) 2)
(.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) -8) (/.f64 4 (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))))
(.f64 1/4 (.f64 2 (/.f64 -8 (+.f64 2 (/.f64 -2 x)))))
(.f64 1/4 (/.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (.f64 (-.f64 -1 (/.f64 -1 x)) (/.f64 (+.f64 2 (/.f64 -2 x)) -8))))
(.f64 (/.f64 (+.f64 (/.f64 -1 x) 1) (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))) -1)
(.f64 (/.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (.f64 (-.f64 -1 (/.f64 -1 x)) (/.f64 (+.f64 2 (/.f64 -2 x)) -8))) 1/4)
(.f64 (/.f64 1/2 (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))) (neg.f64 (+.f64 2 (/.f64 -2 x))))
(.f64 (/.f64 4 (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))) (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(.f64 (/.f64 2 (.f64 (-.f64 -1 (/.f64 -1 x)) (.f64 (+.f64 (/.f64 -1 x) 1) -1/2))) (.f64 (+.f64 (/.f64 -1 x) 1) -1/2))
(.f64 (/.f64 1 (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))) (-.f64 -1 (/.f64 -1 x)))
(*.f64 (/.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))) 4) 4)
(pow.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))) 1)
(neg.f64 (/.f64 (+.f64 (/.f64 -1 x) 1) (.f64 (-.f64 -1 (/.f64 -1 x)) (.f64 (+.f64 (/.f64 -1 x) 1) -1/2))))
(neg.f64 (/.f64 4 (+.f64 2 (/.f64 -2 x))))
(+.f64 -1 (neg.f64 (/.f64 -1 x)))
(+.f64 (-.f64 -1 (/.f64 -1 x)) 0)
(+.f64 0 (-.f64 -1 (/.f64 -1 x)))
(+.f64 (.f64 (+.f64 (/.f64 -1 x) 1) -1/2) (.f64 (+.f64 (/.f64 -1 x) 1) -1/2))
(+.f64 (neg.f64 (/.f64 -1 x)) -1)
(.f64 2 (.f64 (+.f64 (/.f64 -1 x) 1) -1/2))
(*.f64 -1 (+.f64 (/.f64 -1 x) 1))
(*.f64 (/.f64 -1 x) (+.f64 x -1))
(.f64 (/.f64 -1 x) (+.f64 (.f64 (-.f64 1 x) -1/2) (*.f64 (-.f64 1 x) -1/2)))
(*.f64 (-.f64 -1 (/.f64 -1 x)) 1)
(*.f64 1 (-.f64 -1 (/.f64 -1 x)))
(*.f64 4 (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(*.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) 1/2)
(*.f64 (+.f64 (/.f64 -1 x) 1) -1)
(*.f64 (+.f64 2 (/.f64 -2 x)) -1/2)
(.f64 (.f64 (-.f64 -1 (/.f64 -1 x)) 4) 1/4)
(.f64 (/.f64 -2 x) (.f64 (-.f64 1 x) -1/2))
(.f64 (.f64 (+.f64 (/.f64 -1 x) 1) -1/2) 2)
(*.f64 (-.f64 1 x) (neg.f64 (/.f64 -1 x)))
(.f64 (.f64 (-.f64 -1 (/.f64 -1 x)) 8) 1/8)
(*.f64 1/2 (neg.f64 (+.f64 2 (/.f64 -2 x))))
(*.f64 (neg.f64 (/.f64 -1 x)) (-.f64 1 x))
(*.f64 -1/2 (+.f64 2 (/.f64 -2 x)))
(*.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) -8) 4)
(.f64 1/4 (.f64 (-.f64 -1 (/.f64 -1 x)) 4))
(.f64 (.f64 (-.f64 1 x) -1/2) (/.f64 -2 x))
(.f64 (.f64 2 (-.f64 1 x)) (*.f64 -1/2 (/.f64 -1 x)))
(.f64 1/8 (.f64 (-.f64 -1 (/.f64 -1 x)) 8))
(*.f64 (+.f64 x -1) (/.f64 -1 x))
(/.f64 (-.f64 -1 (/.f64 -1 x)) 1)
(/.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) 2)
(/.f64 (+.f64 (/.f64 -1 x) 1) -1)
(/.f64 (+.f64 2 (/.f64 -2 x)) -2)
(/.f64 (*.f64 (-.f64 -1 (/.f64 -1 x)) 4) 4)
(/.f64 (*.f64 2 (+.f64 2 (/.f64 -2 x))) -4)
(/.f64 (*.f64 (-.f64 -1 (/.f64 -1 x)) 8) 8)
(/.f64 (*.f64 (+.f64 2 (/.f64 -2 x)) 4) -8)
(/.f64 (.f64 2 (.f64 (-.f64 -1 (/.f64 -1 x)) 8)) 16)
(/.f64 (.f64 (-.f64 1 x) -1/2) (.f64 x -1/2))
(/.f64 (.f64 (-.f64 1 x) -1/2) (/.f64 (.f64 x x) (*.f64 x -2)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 -1 (/.f64 -1 x)) 8))) 32)
(/.f64 (+.f64 x -1) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 2 (+.f64 2 (/.f64 -2 x)))) 4)
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 2 (/.f64 -2 x)))) (neg.f64 (.f64 2 (+.f64 2 (/.f64 -2 x))))) 8)
(pow.f64 (-.f64 -1 (/.f64 -1 x)) 1)
(neg.f64 (+.f64 (/.f64 -1 x) 1))
(+.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 0)
(+.f64 0 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))))
(+.f64 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1/2) (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1/2))
(-.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 0)
(.f64 2 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1/2))
(*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1)
(*.f64 1 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))))
(*.f64 4 (/.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4))
(.f64 (.f64 2 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))) 1/2)
(.f64 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4) 1/4)
(.f64 1/2 (.f64 2 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))))
(.f64 1/4 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4))
(.f64 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1/2) 2)
(*.f64 (/.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4) 4)
(/.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1)
(/.f64 (*.f64 2 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))) 2)
(/.f64 (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4) 4)
(/.f64 (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 8) 8)
(/.f64 (.f64 2 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 8)) (.f64 2 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 8))) 32)
(pow.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1)

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2)))
(*.f64 2 (+.f64 (pow.f64 x 2) x))
(*.f64 2 (+.f64 x (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (*.f64 2 (pow.f64 x 3))))
(+.f64 (.f64 2 (+.f64 (pow.f64 x 2) x)) (.f64 2 (pow.f64 x 3)))
(*.f64 2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 2))))
(*.f64 2 (+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 2 (+.f64 x (pow.f64 x 4)))))
(+.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 4)))))
(*.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 2)))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 2)))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 (pow.f64 x 3) 2/3))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2 x) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(+.f64 (.f64 2 x) (+.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5))) (.f64 2/7 (pow.f64 x 7))))
(+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/7 (pow.f64 x 7)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (log.f64 -1)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (log.f64 -1) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5)))) (*.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (log.f64 -1) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (log.f64 -1)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (log.f64 -1) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5)))) (*.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (log.f64 -1) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))) 0)
(/.f64 -4 (+.f64 2 (/.f64 -2 x)))
(+.f64 0 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(/.f64 -4 (+.f64 2 (/.f64 -2 x)))
(+.f64 (/.f64 -2 (+.f64 2 (/.f64 -2 x))) (/.f64 -2 (+.f64 2 (/.f64 -2 x))))
(-.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))) 0)
(/.f64 -4 (+.f64 2 (/.f64 -2 x)))
(-.f64 (/.f64 -2 (+.f64 2 (/.f64 -2 x))) (/.f64 2 (+.f64 2 (/.f64 -2 x))))
(*.f64 2 (/.f64 -2 (+.f64 2 (/.f64 -2 x))))
(.f64 -1 (/.f64 (+.f64 (/.f64 -1 x) 1) (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 1 (/.f64 -1 x)) (.f64 -1/2 (-.f64 -1 (/.f64 -1 x))))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1 x))) (.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 -1 (/.f64 1 x)) -1/2)))
(*.f64 2 (/.f64 1 (+.f64 -1 (/.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (-.f64 -1 (/.f64 -1 x)) (/.f64 1 (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 1 (/.f64 -1 x)) (.f64 -1/2 (-.f64 -1 (/.f64 -1 x))))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1 x))) (.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 -1 (/.f64 1 x)) -1/2)))
(*.f64 2 (/.f64 1 (+.f64 -1 (/.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))) 1)
(/.f64 -4 (+.f64 2 (/.f64 -2 x)))
(*.f64 1 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(/.f64 -4 (+.f64 2 (/.f64 -2 x)))
(*.f64 4 (/.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))) 4))
(/.f64 -4 (+.f64 2 (/.f64 -2 x)))
(.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (/.f64 1/2 (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))))
(.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (/.f64 1/2 (.f64 (+.f64 1 (/.f64 -1 x)) (*.f64 -1/2 (-.f64 -1 (/.f64 -1 x))))))
(.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (/.f64 1 (.f64 (+.f64 -1 (/.f64 1 x)) (neg.f64 (+.f64 1 (/.f64 -1 x))))))
(.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (/.f64 1 (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))
(*.f64 (+.f64 2 (/.f64 -2 x)) (neg.f64 (/.f64 x (/.f64 (-.f64 1 x) (/.f64 x (-.f64 1 x))))))
(*.f64 (/.f64 -8 (+.f64 2 (/.f64 -2 x))) 1/2)
(*.f64 1/2 (/.f64 -8 (+.f64 2 (/.f64 -2 x))))
(.f64 (.f64 (+.f64 (/.f64 -1 x) 1) -1/2) (/.f64 2 (.f64 (-.f64 -1 (/.f64 -1 x)) (.f64 (+.f64 (/.f64 -1 x) 1) -1/2))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 1 (/.f64 -1 x)) (.f64 -1/2 (-.f64 -1 (/.f64 -1 x))))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1 x))) (.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 -1 (/.f64 1 x)) -1/2)))
(*.f64 2 (/.f64 1 (+.f64 -1 (/.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (.f64 2 (/.f64 -8 (+.f64 2 (/.f64 -2 x)))) 1/4)
(*.f64 1/2 (/.f64 -8 (+.f64 2 (/.f64 -2 x))))
(*.f64 1/2 (/.f64 -8 (+.f64 2 (/.f64 -2 x))))
(*.f64 (/.f64 -2 (+.f64 2 (/.f64 -2 x))) 2)
(*.f64 2 (/.f64 -2 (+.f64 2 (/.f64 -2 x))))
(.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) -8) (/.f64 4 (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))))
(.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) -8) (/.f64 (/.f64 4 (-.f64 -1 (/.f64 -1 x))) (.f64 (+.f64 1 (/.f64 -1 x)) -1/2)))
(.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) -8) (/.f64 8 (.f64 (+.f64 -1 (/.f64 1 x)) (neg.f64 (+.f64 1 (/.f64 -1 x))))))
(.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) -8) (/.f64 8 (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))
(*.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) -8) (/.f64 (/.f64 2 (-.f64 (/.f64 -1/2 x) -1/2)) (-.f64 (/.f64 -1/2 x) -1/2)))
(.f64 1/4 (.f64 2 (/.f64 -8 (+.f64 2 (/.f64 -2 x)))))
(*.f64 1/2 (/.f64 -8 (+.f64 2 (/.f64 -2 x))))
(.f64 1/4 (/.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (.f64 (-.f64 -1 (/.f64 -1 x)) (/.f64 (+.f64 2 (/.f64 -2 x)) -8))))
(*.f64 1/4 (/.f64 (/.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (+.f64 -1 (/.f64 1 x))) (/.f64 (+.f64 2 (/.f64 -2 x)) -8)))
(*.f64 1/4 (/.f64 -8 (/.f64 (+.f64 2 (/.f64 -2 x)) (neg.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) (+.f64 -1 (/.f64 1 x)))))))
(*.f64 1/4 (/.f64 -8 (/.f64 (+.f64 2 (/.f64 -2 x)) (/.f64 (+.f64 2 (/.f64 -2 x)) (-.f64 1 (/.f64 1 x))))))
(.f64 (/.f64 (+.f64 (/.f64 -1 x) 1) (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 1 (/.f64 -1 x)) (.f64 -1/2 (-.f64 -1 (/.f64 -1 x))))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1 x))) (.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 -1 (/.f64 1 x)) -1/2)))
(*.f64 2 (/.f64 1 (+.f64 -1 (/.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (/.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (.f64 (-.f64 -1 (/.f64 -1 x)) (/.f64 (+.f64 2 (/.f64 -2 x)) -8))) 1/4)
(.f64 1/4 (/.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (.f64 (-.f64 -1 (/.f64 -1 x)) (/.f64 (+.f64 2 (/.f64 -2 x)) -8))))
(*.f64 1/4 (/.f64 (/.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (+.f64 -1 (/.f64 1 x))) (/.f64 (+.f64 2 (/.f64 -2 x)) -8)))
(*.f64 1/4 (/.f64 -8 (/.f64 (+.f64 2 (/.f64 -2 x)) (neg.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) (+.f64 -1 (/.f64 1 x)))))))
(*.f64 1/4 (/.f64 -8 (/.f64 (+.f64 2 (/.f64 -2 x)) (/.f64 (+.f64 2 (/.f64 -2 x)) (-.f64 1 (/.f64 1 x))))))
(.f64 (/.f64 1/2 (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))) (neg.f64 (+.f64 2 (/.f64 -2 x))))
(.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (/.f64 1/2 (.f64 (+.f64 1 (/.f64 -1 x)) (*.f64 -1/2 (-.f64 -1 (/.f64 -1 x))))))
(.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (/.f64 1 (.f64 (+.f64 -1 (/.f64 1 x)) (neg.f64 (+.f64 1 (/.f64 -1 x))))))
(.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) (/.f64 1 (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))
(*.f64 (+.f64 2 (/.f64 -2 x)) (neg.f64 (/.f64 x (/.f64 (-.f64 1 x) (/.f64 x (-.f64 1 x))))))
(.f64 (/.f64 4 (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))) (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) -8) (/.f64 (/.f64 4 (-.f64 -1 (/.f64 -1 x))) (.f64 (+.f64 1 (/.f64 -1 x)) -1/2)))
(.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) -8) (/.f64 8 (.f64 (+.f64 -1 (/.f64 1 x)) (neg.f64 (+.f64 1 (/.f64 -1 x))))))
(.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) -8) (/.f64 8 (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))
(*.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) -8) (/.f64 (/.f64 2 (-.f64 (/.f64 -1/2 x) -1/2)) (-.f64 (/.f64 -1/2 x) -1/2)))
(.f64 (/.f64 2 (.f64 (-.f64 -1 (/.f64 -1 x)) (.f64 (+.f64 (/.f64 -1 x) 1) -1/2))) (.f64 (+.f64 (/.f64 -1 x) 1) -1/2))
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 1 (/.f64 -1 x)) (.f64 -1/2 (-.f64 -1 (/.f64 -1 x))))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1 x))) (.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 -1 (/.f64 1 x)) -1/2)))
(*.f64 2 (/.f64 1 (+.f64 -1 (/.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (/.f64 1 (.f64 (-.f64 -1 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) -1/2))) (-.f64 -1 (/.f64 -1 x)))
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 1 (/.f64 -1 x)) (.f64 -1/2 (-.f64 -1 (/.f64 -1 x))))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1 x))) (.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 -1 (/.f64 1 x)) -1/2)))
(*.f64 2 (/.f64 1 (+.f64 -1 (/.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))) 4) 4)
(/.f64 -4 (+.f64 2 (/.f64 -2 x)))
(pow.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))) 1)
(/.f64 -4 (+.f64 2 (/.f64 -2 x)))
(neg.f64 (/.f64 (+.f64 (/.f64 -1 x) 1) (.f64 (-.f64 -1 (/.f64 -1 x)) (.f64 (+.f64 (/.f64 -1 x) 1) -1/2))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 1 (/.f64 -1 x)) (.f64 -1/2 (-.f64 -1 (/.f64 -1 x))))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1 x))) (.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 -1 (/.f64 1 x)) -1/2)))
(*.f64 2 (/.f64 1 (+.f64 -1 (/.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(neg.f64 (/.f64 4 (+.f64 2 (/.f64 -2 x))))
(/.f64 -4 (+.f64 2 (/.f64 -2 x)))
(+.f64 -1 (neg.f64 (/.f64 -1 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(+.f64 (-.f64 -1 (/.f64 -1 x)) 0)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(+.f64 0 (-.f64 -1 (/.f64 -1 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(+.f64 (.f64 (+.f64 (/.f64 -1 x) 1) -1/2) (.f64 (+.f64 (/.f64 -1 x) 1) -1/2))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(+.f64 (neg.f64 (/.f64 -1 x)) -1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(.f64 2 (.f64 (+.f64 (/.f64 -1 x) 1) -1/2))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(*.f64 -1 (+.f64 (/.f64 -1 x) 1))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(*.f64 (/.f64 -1 x) (+.f64 x -1))
(.f64 (/.f64 -1 x) (+.f64 (.f64 (-.f64 1 x) -1/2) (*.f64 (-.f64 1 x) -1/2)))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(*.f64 (-.f64 -1 (/.f64 -1 x)) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(*.f64 1 (-.f64 -1 (/.f64 -1 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(*.f64 4 (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(*.f64 (+.f64 2 (/.f64 -2 x)) -1/2)
(*.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) 1/2)
(*.f64 4 (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(*.f64 (+.f64 2 (/.f64 -2 x)) -1/2)
(*.f64 (+.f64 (/.f64 -1 x) 1) -1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(*.f64 (+.f64 2 (/.f64 -2 x)) -1/2)
(*.f64 4 (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(.f64 (.f64 (-.f64 -1 (/.f64 -1 x)) 4) 1/4)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(.f64 (/.f64 -2 x) (.f64 (-.f64 1 x) -1/2))
(.f64 (/.f64 -2 x) (.f64 -1/2 (-.f64 1 x)))
(.f64 -1/2 (.f64 (/.f64 -2 x) (-.f64 1 x)))
(*.f64 -1/2 (-.f64 (/.f64 -2 x) -2))
(.f64 (.f64 (+.f64 (/.f64 -1 x) 1) -1/2) 2)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(*.f64 (-.f64 1 x) (neg.f64 (/.f64 -1 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(.f64 (.f64 (-.f64 -1 (/.f64 -1 x)) 8) 1/8)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(*.f64 1/2 (neg.f64 (+.f64 2 (/.f64 -2 x))))
(*.f64 4 (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(*.f64 (+.f64 2 (/.f64 -2 x)) -1/2)
(*.f64 (neg.f64 (/.f64 -1 x)) (-.f64 1 x))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(*.f64 -1/2 (+.f64 2 (/.f64 -2 x)))
(*.f64 4 (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(*.f64 (+.f64 2 (/.f64 -2 x)) -1/2)
(*.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) -8) 4)
(*.f64 4 (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(*.f64 (+.f64 2 (/.f64 -2 x)) -1/2)
(.f64 1/4 (.f64 (-.f64 -1 (/.f64 -1 x)) 4))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(.f64 (.f64 (-.f64 1 x) -1/2) (/.f64 -2 x))
(.f64 (/.f64 -2 x) (.f64 -1/2 (-.f64 1 x)))
(.f64 -1/2 (.f64 (/.f64 -2 x) (-.f64 1 x)))
(*.f64 -1/2 (-.f64 (/.f64 -2 x) -2))
(.f64 (.f64 2 (-.f64 1 x)) (*.f64 -1/2 (/.f64 -1 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(.f64 1/8 (.f64 (-.f64 -1 (/.f64 -1 x)) 8))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(*.f64 (+.f64 x -1) (/.f64 -1 x))
(*.f64 (/.f64 -1 x) (+.f64 x -1))
(/.f64 (-.f64 -1 (/.f64 -1 x)) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(/.f64 (neg.f64 (+.f64 2 (/.f64 -2 x))) 2)
(*.f64 4 (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(*.f64 (+.f64 2 (/.f64 -2 x)) -1/2)
(/.f64 (+.f64 (/.f64 -1 x) 1) -1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(/.f64 (+.f64 2 (/.f64 -2 x)) -2)
(*.f64 4 (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(*.f64 (+.f64 2 (/.f64 -2 x)) -1/2)
(/.f64 (*.f64 (-.f64 -1 (/.f64 -1 x)) 4) 4)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(/.f64 (*.f64 2 (+.f64 2 (/.f64 -2 x))) -4)
(*.f64 4 (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(*.f64 (+.f64 2 (/.f64 -2 x)) -1/2)
(/.f64 (*.f64 (-.f64 -1 (/.f64 -1 x)) 8) 8)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(/.f64 (*.f64 (+.f64 2 (/.f64 -2 x)) 4) -8)
(*.f64 4 (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(*.f64 (+.f64 2 (/.f64 -2 x)) -1/2)
(/.f64 (.f64 2 (.f64 (-.f64 -1 (/.f64 -1 x)) 8)) 16)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(/.f64 (.f64 (-.f64 1 x) -1/2) (.f64 x -1/2))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(/.f64 (.f64 (-.f64 1 x) -1/2) (/.f64 (.f64 x x) (*.f64 x -2)))
(.f64 -1/2 (/.f64 (-.f64 1 x) (/.f64 (.f64 x x) (*.f64 x -2))))
(.f64 -1/2 (/.f64 (-.f64 1 x) (.f64 x (/.f64 x (*.f64 x -2)))))
(/.f64 x (/.f64 (/.f64 x -2) (-.f64 (/.f64 -1/2 x) -1/2)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 -1 (/.f64 -1 x)) 8))) 32)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(/.f64 (+.f64 x -1) (neg.f64 x))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(/.f64 (neg.f64 (*.f64 2 (+.f64 2 (/.f64 -2 x)))) 4)
(*.f64 4 (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(*.f64 (+.f64 2 (/.f64 -2 x)) -1/2)
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 2 (/.f64 -2 x)))) (neg.f64 (.f64 2 (+.f64 2 (/.f64 -2 x))))) 8)
(*.f64 4 (/.f64 (+.f64 2 (/.f64 -2 x)) -8))
(*.f64 (+.f64 2 (/.f64 -2 x)) -1/2)
(pow.f64 (-.f64 -1 (/.f64 -1 x)) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 (/.f64 -1 x) 1))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(+.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 0)
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(+.f64 0 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))))
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(+.f64 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1/2) (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1/2))
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(-.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 0)
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(.f64 2 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1/2))
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1)
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(*.f64 1 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))))
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(*.f64 4 (/.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4))
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(.f64 (.f64 2 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))) 1/2)
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(.f64 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4) 1/4)
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(.f64 1/2 (.f64 2 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))))
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(.f64 1/4 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4))
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(.f64 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1/2) 2)
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(*.f64 (/.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4) 4)
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(/.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1)
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(/.f64 (*.f64 2 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))) 2)
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(/.f64 (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 4) 4)
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(/.f64 (*.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 8) 8)
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(/.f64 (.f64 2 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 8)) 16)
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 8)) (.f64 2 (.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 8))) 32)
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))
(pow.f64 (log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x)))) 1)
(log1p.f64 (/.f64 -4 (+.f64 2 (/.f64 -2 x))))

eval159.0ms (7.2%)

Compiler: Compiled 5463 to 4812 computations (11.9% saved)

prune49.0ms (2.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	337	2	339
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	337	7	344

Error

0.0b

Counts

344 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	1.6b	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
✓	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
✓	58.9b	(*.f64 1/2 (log1p.f64 (-.f64 (/.f64 2 (-.f64 1 x)) 2)))
▶	60.6b	(*.f64 1/2 (log1p.f64 (-.f64 2 2)))
✓	1.4b	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
✓	64.0b	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 61 to 54 computations (11.5% saved)

localize7.0ms (0.3%)

Compiler: Compiled 16 to 16 computations (0% saved)

localize11.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 2 (/.f64 1 x))

Compiler

Compiled 27 to 22 computations (18.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite89.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`rational.json-1`
1592×	`rational.json-2`
1592×	`rational.json-4`
1592×	`rational.json-3`
1580×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	63	7
2	170	7
3	409	7
4	1688	7
5	5273	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (*.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 1 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 x)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 x (/.f64 1 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fabs.f64 x) (fabs.f64 x)) (*.f64 (/.f64 1 x) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (*.f64 x 1/2)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (fabs.f64 x)) (+.f64 (fabs.f64 x) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 x x)))))))

simplify103.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1236×	`rational.json-simplify-2`
872×	`rational.json-simplify-43`
852×	`rational.json-simplify-51`
616×	`rational.json-simplify-19`
588×	`rational.json-simplify-59`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	301
1	118	301
2	261	301
3	689	301
4	4577	301
5	7490	301

Stop Event

1×	node limit

Counts

43 → 31

Calls

Call 1

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

Outputs
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 0 (+.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 x x) 0)
(*.f64 2 x)
(+.f64 x x)
(-.f64 (+.f64 x x) 0)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 1 (+.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(*.f64 x 2)
(*.f64 2 x)
(+.f64 x x)
(.f64 x (+.f64 1 (.f64 x (/.f64 1 x))))
(*.f64 2 x)
(+.f64 x x)
(.f64 (/.f64 1 x) (.f64 2 (*.f64 x x)))
(*.f64 2 x)
(+.f64 x x)
(*.f64 (+.f64 x x) 1)
(*.f64 2 x)
(+.f64 x x)
(.f64 (+.f64 x x) (.f64 x (/.f64 1 x)))
(*.f64 2 x)
(+.f64 x x)
(.f64 4 (.f64 x 1/2))
(*.f64 2 x)
(+.f64 x x)
(.f64 (/.f64 2 x) (.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(.f64 1/2 (.f64 x 4))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x x) (/.f64 2 x))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 4) 1/2)
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 4) (.f64 (/.f64 1 x) (.f64 x 1/2)))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 2 (/.f64 2 x)) (.f64 x (.f64 x 1/2)))
(*.f64 2 x)
(+.f64 x x)
(*.f64 (neg.f64 x) -2)
(*.f64 2 x)
(+.f64 x x)
(*.f64 -2 (neg.f64 x))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 1/2) 4)
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x (.f64 x 1/2)) (.f64 2 (/.f64 2 x)))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 2 (*.f64 x x)) (/.f64 1 x))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x (/.f64 1 x)) (+.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(.f64 (+.f64 1 (.f64 x (/.f64 1 x))) x)
(*.f64 2 x)
(+.f64 x x)
(.f64 (+.f64 (fabs.f64 x) (fabs.f64 x)) (.f64 (/.f64 1 x) (fabs.f64 x)))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 (/.f64 1 x) (.f64 x 1/2)) (.f64 x 4))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 (/.f64 1 x) (fabs.f64 x)) (+.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 2 x)
(+.f64 x x)
(pow.f64 (+.f64 x x) 1)
(*.f64 2 x)
(+.f64 x x)
(neg.f64 (*.f64 2 (neg.f64 x)))
(*.f64 2 x)
(+.f64 x x)
(neg.f64 (neg.f64 (+.f64 x x)))
(*.f64 2 x)
(+.f64 x x)

eval6.0ms (0.3%)

Compiler: Compiled 307 to 216 computations (29.6% saved)

prune6.0ms (0.3%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	31	7	38

Error

0.0b

Counts

38 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	1.6b	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
✓	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
✓	58.9b	(*.f64 1/2 (log1p.f64 (-.f64 (/.f64 2 (-.f64 1 x)) 2)))
✓	60.6b	(*.f64 1/2 (log1p.f64 (-.f64 2 2)))
✓	1.4b	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
✓	64.0b	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 61 to 54 computations (11.5% saved)

regimes22.0ms (1%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Calls

4 calls:

5.0ms	x
5.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
5.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
5.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))`
0.0b	1	`(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))`
0.0b	1	`(/.f64 (*.f64 2 x) (-.f64 1 x))`

Compiler

Compiled 85 to 71 computations (16.5% saved)

regimes6.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 47 to 41 computations (12.8% saved)

regimes6.0ms (0.3%)

Accuracy

Total -62.6b remaining (-4477.5%)

Threshold costs -62.6b (-4477.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
1.4b	1	`x`

Compiler

Compiled 37 to 32 computations (13.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	86

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 34 to 29 computations (14.7% saved)

soundness0.0ms (0%)

end27.0ms (1.2%)

Compiler: Compiled 31 to 26 computations (16.1% saved)

Details

analyze6.0ms (0.2%)

sample675.0ms (30.3%)

preprocess11.0ms (0.5%)

simplify160.0ms (7.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize15.0ms (0.7%)

series2.0ms (0.1%)

rewrite110.0ms (4.9%)

simplify131.0ms (5.9%)

eval45.0ms (2%)

prune20.0ms (0.9%)

localize4.0ms (0.2%)

localize6.0ms (0.3%)

localize17.0ms (0.8%)

series1.0ms (0.1%)

rewrite82.0ms (3.7%)

simplify149.0ms (6.7%)

localize99.0ms (4.4%)

series1.0ms (0.1%)

rewrite102.0ms (4.6%)

simplify95.0ms (4.3%)

eval159.0ms (7.2%)

prune49.0ms (2.2%)

localize7.0ms (0.3%)

localize11.0ms (0.5%)

series1.0ms (0%)

rewrite89.0ms (4%)

simplify103.0ms (4.6%)

eval6.0ms (0.3%)

prune6.0ms (0.3%)

regimes22.0ms (1%)

regimes6.0ms (0.3%)

regimes6.0ms (0.3%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end27.0ms (1.2%)

Profiling