Details

analyze146.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	6
45.9%	43.7%	51.5%	0.1%	4.7%	0%	0%	7
50.8%	48.4%	46.8%	0.1%	4.7%	0%	0%	8
59.7%	55.4%	37.5%	0.1%	7%	0%	0%	9
62.6%	58.1%	34.7%	0.1%	7%	0%	0%	10
67.4%	61.9%	29.9%	0.1%	8.2%	0%	0%	11
69%	63.3%	28.4%	0.1%	8.2%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample6.0s (40.3%)

Results

4.0s	2623×	body	8192	exit
1.6s	7792×	body	256	valid
207.0ms	231×	body	512	valid
112.0ms	233×	body	1024	valid
69.0ms	134×	body	256	infinite

Bogosity

preprocess11.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

4×	`rational.json-simplify-17`
4×	`rational.json-simplify-1`
2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	22	54
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 x y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-17`
2×	`rational.json-simplify-2`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	15	27

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

eval0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 x))
✓	0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	0.5b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 28 to 14 computations (50% saved)

series44.0ms (0.3%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(log.f64 (+.f64 1 (exp.f64 x)))
18.0ms	x	@	-inf	(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms	y	@	0	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0ms	x	@	0	(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	inf	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

rewrite114.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`rational.json-1`
1620×	`rational.json-2`
1620×	`rational.json-3`
1568×	`rational.json-4`
1462×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	81	53
2	174	53
3	337	53
4	622	53
5	1395	53
6	2831	53
7	4604	53
8	6833	53

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 1 (exp.f64 x))

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

Outputs

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

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

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

simplify162.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1504×	`rational.json-simplify-35`
1334×	`rational.json-simplify-51`
894×	`rational.json-simplify-1`
852×	`rational.json-simplify-49`
804×	`rational.json-simplify-42`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	211	2936
1	431	2708
2	1107	2708
3	3129	2708
4	4912	2708
5	5587	2708
6	6515	2708
7	7949	2708

Stop Event

1×	node limit

Counts

128 → 141

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) 0)
(+.f64 0 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) 0)
(*.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) 1/2)
(*.f64 4 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4))
(*.f64 4 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2))
(.f64 1/4 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4))
(*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)
(*.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4) 4)
(/.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) 2)
(/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4) 4)
(/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 8))))) 128)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1)
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (-.f64 -1 (*.f64 x y))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 0)
(+.f64 0 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
(+.f64 -1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (-.f64 1 (*.f64 x y))))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (-.f64 1 (*.f64 x y))) -1)
(+.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1/2) (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1/2))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
(+.f64 (-.f64 1 (*.f64 x y)) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) -1))
(+.f64 -2 (+.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 2))
(+.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (-.f64 -1 (*.f64 x y)))
(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 2) -2)
(+.f64 (+.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1/2)))
(.f64 1 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)))
(.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1)
(.f64 -1 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 1/2))
(.f64 (.f64 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2) 1/2)
(.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 4))
(.f64 4 (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4) (/.f64 (.f64 x y) 4)))
(.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -1)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2))
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 4))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 1/2) 2)
(.f64 (.f64 1/2 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) -2)
(.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 4) 4)
(/.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 1)
(/.f64 (.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2) 2)
(/.f64 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -1)
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 4) 4)
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) -2) -2)
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 8) 8)
(/.f64 (.f64 4 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 8)) 16)
(/.f64 (.f64 2 (.f64 4 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 4 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 8))))) 128)
(pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 1)
(neg.f64 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))
(-.f64 (exp.f64 x) -1)
(-.f64 (+.f64 1 (exp.f64 x)) 0)
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(.f64 2 (.f64 (+.f64 1 (exp.f64 x)) 1/2))
(*.f64 4 (/.f64 (+.f64 1 (exp.f64 x)) 4))
(.f64 (+.f64 2 (.f64 (exp.f64 x) 2)) 1/2)
(.f64 (+.f64 2 (.f64 (exp.f64 x) 2)) (pow.f64 1/4 1/2))
(.f64 (.f64 (+.f64 1 (exp.f64 x)) 4) 1/4)
(.f64 (.f64 (+.f64 1 (exp.f64 x)) 4) (pow.f64 1/16 1/2))
(.f64 1/2 (+.f64 2 (.f64 (exp.f64 x) 2)))
(.f64 1/4 (.f64 (+.f64 1 (exp.f64 x)) 4))
(.f64 (.f64 (+.f64 1 (exp.f64 x)) 1/2) 2)
(.f64 (.f64 (+.f64 1 (exp.f64 x)) 1/2) (pow.f64 4 1/2))
(*.f64 (/.f64 (+.f64 1 (exp.f64 x)) 4) 4)
(.f64 (pow.f64 4 1/2) (.f64 (+.f64 1 (exp.f64 x)) 1/2))
(*.f64 (pow.f64 16 1/2) (/.f64 (+.f64 1 (exp.f64 x)) 4))
(.f64 (pow.f64 1/4 1/2) (+.f64 2 (.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 1 (exp.f64 x)) 1)
(/.f64 (+.f64 2 (*.f64 (exp.f64 x) 2)) 2)
(/.f64 (*.f64 (+.f64 1 (exp.f64 x)) 4) 4)
(/.f64 (*.f64 (+.f64 1 (exp.f64 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 1 (exp.f64 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (exp.f64 x)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (exp.f64 x)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (exp.f64 x)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (exp.f64 x)) 8))))) 128)
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/2) 2)

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4))) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -1/192 (pow.f64 x 4)))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (.f64 x (-.f64 1/2 y)) (.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(+.f64 (.f64 x (-.f64 1/2 y)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4))) (*.f64 x (-.f64 1/2 y))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 2 (+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (+.f64 2 x) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) 0)
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 0 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) 0)
(log.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1)
(log.f64 (+.f64 1 (exp.f64 x)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (exp.f64 x)))
(.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) 1/2)
(log.f64 (+.f64 1 (exp.f64 x)))
(*.f64 4 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4))
(log.f64 (+.f64 1 (exp.f64 x)))
(*.f64 4 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(log.f64 (+.f64 1 (exp.f64 x)))
(.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4) 1/4)
(log.f64 (+.f64 1 (exp.f64 x)))
(.f64 1/2 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2))
(log.f64 (+.f64 1 (exp.f64 x)))
(.f64 1/4 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4))
(log.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)
(log.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4) 4)
(log.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1)
(log.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) 2)
(log.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4) 4)
(log.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) 8) 8)
(log.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 8)) 16)
(log.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) 8))) 32)
(log.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 8)))) 64)
(log.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 8))))) 128)
(log.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1)
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (-.f64 -1 (*.f64 x y))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 0)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 0 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 -1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (-.f64 1 (*.f64 x y))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (-.f64 1 (*.f64 x y))) -1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1/2) (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1/2))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (-.f64 1 (*.f64 x y)) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) -1))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 -2 (+.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 2))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (-.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 2) -2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (+.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1/2)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 1 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 -1 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 1/2))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 (.f64 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2) 1/2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 4))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 4 (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4) (/.f64 (.f64 x y) 4)))
(.f64 4 (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4) (.f64 y (/.f64 x 4))))
(.f64 4 (-.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/4) (*.f64 x (/.f64 y 4))))
(.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 4) 1/4)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 1/2 (.f64 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 4))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 1/2) 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 (.f64 1/2 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) -2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 4) 4)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(/.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(/.f64 (.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2) 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(/.f64 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 4) 4)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) -2) -2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 8) 8)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(/.f64 (.f64 4 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) -4)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 8)) 16)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(/.f64 (.f64 2 (.f64 4 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))) -8)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 8))) 32)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))))) -16)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 8)))) 64)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 8))))) 128)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(neg.f64 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (exp.f64 x) -1)
(+.f64 1 (exp.f64 x))
(-.f64 (+.f64 1 (exp.f64 x)) 0)
(+.f64 1 (exp.f64 x))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(.f64 2 (.f64 (+.f64 1 (exp.f64 x)) 1/2))
(+.f64 1 (exp.f64 x))
(*.f64 4 (/.f64 (+.f64 1 (exp.f64 x)) 4))
(+.f64 1 (exp.f64 x))
(.f64 (+.f64 2 (.f64 (exp.f64 x) 2)) 1/2)
(.f64 1/2 (+.f64 2 (.f64 2 (exp.f64 x))))
(.f64 (+.f64 2 (.f64 (exp.f64 x) 2)) (pow.f64 1/4 1/2))
(.f64 (+.f64 2 (.f64 2 (exp.f64 x))) (pow.f64 1/4 1/2))
(.f64 (.f64 (+.f64 1 (exp.f64 x)) 4) 1/4)
(+.f64 1 (exp.f64 x))
(.f64 (.f64 (+.f64 1 (exp.f64 x)) 4) (pow.f64 1/16 1/2))
(+.f64 1 (exp.f64 x))
(.f64 1/2 (+.f64 2 (.f64 (exp.f64 x) 2)))
(.f64 1/2 (+.f64 2 (.f64 2 (exp.f64 x))))
(.f64 1/4 (.f64 (+.f64 1 (exp.f64 x)) 4))
(+.f64 1 (exp.f64 x))
(.f64 (.f64 (+.f64 1 (exp.f64 x)) 1/2) 2)
(+.f64 1 (exp.f64 x))
(.f64 (.f64 (+.f64 1 (exp.f64 x)) 1/2) (pow.f64 4 1/2))
(+.f64 1 (exp.f64 x))
(*.f64 (/.f64 (+.f64 1 (exp.f64 x)) 4) 4)
(+.f64 1 (exp.f64 x))
(.f64 (pow.f64 4 1/2) (.f64 (+.f64 1 (exp.f64 x)) 1/2))
(+.f64 1 (exp.f64 x))
(*.f64 (pow.f64 16 1/2) (/.f64 (+.f64 1 (exp.f64 x)) 4))
(+.f64 1 (exp.f64 x))
(.f64 (pow.f64 1/4 1/2) (+.f64 2 (.f64 (exp.f64 x) 2)))
(.f64 (+.f64 2 (.f64 2 (exp.f64 x))) (pow.f64 1/4 1/2))
(/.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(/.f64 (+.f64 2 (*.f64 (exp.f64 x) 2)) 2)
(/.f64 (+.f64 2 (*.f64 2 (exp.f64 x))) 2)
(/.f64 (*.f64 (+.f64 1 (exp.f64 x)) 4) 4)
(+.f64 1 (exp.f64 x))
(/.f64 (*.f64 (+.f64 1 (exp.f64 x)) 8) 8)
(+.f64 1 (exp.f64 x))
(/.f64 (.f64 2 (.f64 (+.f64 1 (exp.f64 x)) 8)) 16)
(+.f64 1 (exp.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (exp.f64 x)) 8))) 32)
(+.f64 1 (exp.f64 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (exp.f64 x)) 8)))) 64)
(+.f64 1 (exp.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (exp.f64 x)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (exp.f64 x)) 8))))) 128)
(+.f64 1 (exp.f64 x))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(+.f64 1 (exp.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/2) 2)
(+.f64 1 (exp.f64 x))

eval35.0ms (0.2%)

Compiler: Compiled 1968 to 1274 computations (35.3% saved)

prune27.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	134	7	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	7	142

Error

0.4b

Counts

142 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.4b	(-.f64 (log.f64 2) (*.f64 x y))
	5.4b	(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 2) -2)
▶	10.1b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	1.0b	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
	4.8b	(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (-.f64 -1 (*.f64 x y))))
▶	37.8b	(*.f64 y (neg.f64 x))
▶	25.8b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 160 to 124 computations (22.5% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	0.0b	(-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y))
✓	0.0b	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
✓	1.3b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 52 to 29 computations (44.2% saved)

series48.0ms (0.3%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
12.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
3.0ms	y	@	0	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
2.0ms	x	@	0	(-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y))
1.0ms	x	@	0	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1360×	`rational.json-1`
1360×	`rational.json-2`
1360×	`rational.json-3`
1316×	`exponential.json-3`
1316×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	120
1	97	120
2	214	120
3	423	120
4	786	96
5	1796	96
6	3761	96
7	5825	96

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

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

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

simplify200.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1754×	`rational.json-simplify-35`
1136×	`exponential.json-simplify-26`
994×	`rational.json-simplify-1`
948×	`rational.json-simplify-45`
900×	`rational.json-simplify-48`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	307	5701
1	704	5305
2	1653	5299
3	4118	5071
4	5457	4923
5	6325	4923
6	7255	4923
7	7852	4923

Stop Event

1×	node limit

Counts

175 → 187

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3))) (+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2))))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x) (.f64 1/3 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3))))))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
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(.f64 1/8 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4))
(*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8) 4)
(*.f64 1/16 (log.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 x) -1) 2) 4)))
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(/.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2) 4)
(/.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4) 8)
(/.f64 (*.f64 8 (log.f64 (-.f64 (exp.f64 x) -1))) 16)
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(/.f64 (.f64 2 (.f64 2 (*.f64 8 (log.f64 (-.f64 (exp.f64 x) -1))))) 64)
(pow.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) 1)
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (*.f64 x y))) 0)
(-.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (+.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (-.f64 1 (*.f64 x y)))) 1)
(.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (.f64 x y))))
(.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (.f64 x y))) 1)
(.f64 1/2 (.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (*.f64 x y))) 2))
(.f64 2 (.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (*.f64 x y))) 1/2))
(.f64 2 (+.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (.f64 x y)) 1/2) (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4)))
(.f64 4 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (.f64 x y))) 4))
(.f64 (.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (*.f64 x y))) 2) 1/2)
(.f64 (.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (*.f64 x y))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (*.f64 x y))) 4))
(.f64 1/4 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2) (.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (.f64 x y)) 4)))
(.f64 (.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (*.f64 x y))) 1/2) 2)
(.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (.f64 x y))) 4) 4)
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (*.f64 x y))) 1)
(/.f64 (.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (.f64 x y))) 2) 2)
(/.f64 (.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (.f64 x y))) 4) 4)
(/.f64 (.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (.f64 x y))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (*.f64 x y))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (.f64 x y))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (*.f64 x y))) 8)))) 64)
(pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (*.f64 x y))) 1)
(+.f64 1 (+.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (-.f64 -1 (*.f64 x y))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (neg.f64 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (*.f64 x y)) 0)
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(+.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (-.f64 1 (*.f64 x y))) -1)
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(.f64 1 (-.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (.f64 x y)))
(.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (.f64 x y)) 1)
(.f64 -1 (-.f64 (.f64 x y) (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)))))
(.f64 1/2 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x (+.f64 y y))))
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(.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x (+.f64 y y))) 1/2)
(.f64 4 (/.f64 (-.f64 (.f64 x y) (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)))) -4))
(.f64 4 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8) (/.f64 (.f64 x y) 4)))
(.f64 4 (-.f64 (.f64 1/8 (log.f64 (-.f64 (exp.f64 x) -1))) (/.f64 (*.f64 x y) 4)))
(.f64 (-.f64 (.f64 x y) (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)))) -1)
(.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (*.f64 x y)) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (*.f64 x y)) 4))
(.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (*.f64 x y)) 1/2) 2)
(.f64 (.f64 1/2 (-.f64 (*.f64 x y) (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))))) -2)
(.f64 (/.f64 (-.f64 (.f64 x y) (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)))) -4) 4)
(/.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (*.f64 x y)) 1)
(/.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x (+.f64 y y))) 2)
(/.f64 (-.f64 (*.f64 x y) (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)))) -1)
(/.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (.f64 x y)) 4) 4)
(/.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (.f64 x y)) 8) 8)
(/.f64 (-.f64 (*.f64 x (+.f64 y y)) (log.f64 (-.f64 (exp.f64 x) -1))) -2)
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(/.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (.f64 x y)) -4) -4)
(pow.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1))) (*.f64 x y)) 1)
(neg.f64 (-.f64 (*.f64 x y) (log.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)))))
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(*.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 1)
(.f64 1/2 (.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 2))
(.f64 2 (.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 1/2))
(.f64 (.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 2) 1/2)
(*.f64 4 (/.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 4))
(.f64 (.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 4) 1/4)
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 4))
(.f64 (.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 1/2) 2)
(*.f64 (/.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 4) 4)
(/.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 1)
(/.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 8)))) 64)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 1)
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 2) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 1/2) 2)
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 4) 1/4)
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) -1)) 1/4) 4)

Outputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x 2)))
(*.f64 1/2 (+.f64 (/.f64 x 2) (log.f64 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 x 2)) (.f64 1/2 (*.f64 (pow.f64 x 2) 1/8))))
(+.f64 (.f64 (pow.f64 x 2) 1/16) (.f64 1/2 (+.f64 (/.f64 x 2) (log.f64 2))))
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localize8.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
2.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	x	@	inf	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	y	@	inf	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	y	@	-inf	(-.f64 (log.f64 2) (*.f64 x y))

rewrite141.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`rational.json-1`
1590×	`rational.json-2`
1590×	`rational.json-3`
1576×	`rational.json-4`
1340×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	57	17
2	117	17
3	237	17
4	437	17
5	1004	17
6	2668	17
7	5020	17
8	6892	17

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (*.f64 x y))

Outputs

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

simplify380.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1978×	`rational.json-simplify-51`
1954×	`rational.json-simplify-35`
1408×	`rational.json-simplify-52`
940×	`rational.json-simplify-1`
874×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	107	1569
1	226	1433
2	507	1433
3	1379	1433
4	2631	1177
5	3362	1177
6	3785	1177
7	4274	1177
8	4829	1177
9	5075	1177
10	6455	1177
11	6899	1177

Stop Event

1×	node limit

Counts

71 → 54

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series3.0ms (0%)

Counts

2 → 27

Calls

12 calls:

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

rewrite232.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1804×	`rational.json-simplify-1`
1376×	`rational.json-1`
1376×	`rational.json-2`
1376×	`rational.json-3`
1354×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	70	36
2	134	36
3	266	36
4	493	36
5	1128	36
6	2812	36
7	5007	36
8	6151	36
9	7165	36
10	7309	36
11	7511	36
12	7694	36

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

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

simplify428.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3440×	`rational.json-simplify-41`
2370×	`rational.json-simplify-35`
1768×	`rational.json-simplify-2`
660×	`rational.json-simplify-51`
574×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	1358
1	198	1314
2	530	1206
3	1537	1206
4	2894	1206
5	3686	1206
6	3994	1206
7	4205	1206
8	4345	1206
9	4464	1206
10	4579	1206
11	4872	1206
12	5023	1206
13	5078	1206
14	5121	1206
15	5198	1206
16	5258	1206
17	5264	1206
18	5380	1206
19	5517	1206

Stop Event

1×	node limit

Counts

62 → 60

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 x))
	0.5b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 15 to 9 computations (40% saved)

eval635.0ms (4.2%)

Compiler: Compiled 8582 to 6339 computations (26.1% saved)

prune549.0ms (3.7%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	450	7	457
Fresh	1	1	2
Picked	0	1	1
Done	1	3	4
Total	452	12	464

Error

0.4b

Counts

464 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	5.4b	(-.f64 (log.f64 2) (*.f64 x y))
	5.4b	(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 2) -2)
✓	10.1b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	10.7b	(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 1/2 y)))
	25.9b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	1.0b	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (*.f64 x y))))
▶	6.0b	(+.f64 (log.f64 (sqrt.f64 2)) (-.f64 (log.f64 (sqrt.f64 2)) (*.f64 y x)))
▶	47.3b	(*.f64 (-.f64 1/2 y) x)
✓	37.8b	(*.f64 y (neg.f64 x))
▶	26.4b	(log.f64 (+.f64 2 x))
✓	25.8b	(log.f64 (+.f64 1 (exp.f64 x)))
	25.9b	(log.f64 2)

Compiler

Compiled 219 to 176 computations (19.6% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (*.f64 x y)))
✓	0.0b	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (*.f64 x y))))
✓	0.5b	(log.f64 (-.f64 (exp.f64 x) -1))
	1.3b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 99 to 61 computations (38.4% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (*.f64 x y))))
0.0ms	y	@	0	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (*.f64 x y))))
0.0ms	x	@	inf	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (*.f64 x y))))
0.0ms	x	@	-inf	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (*.f64 x y))))
0.0ms	x	@	0	(+.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (*.f64 x y)))

rewrite262.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`rational.json-1`
1486×	`rational.json-2`
1486×	`rational.json-3`
1410×	`exponential.json-3`
1410×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	157
1	137	157
2	268	133
3	543	133
4	1087	133
5	2269	133
6	3926	133
7	6183	133

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs

(log.f64 (-.f64 (exp.f64 x) -1))

(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (-.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (*.f64 x y))))

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

Outputs

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

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

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

simplify605.0ms (4%)

Algorithm

1×	egg-herbie

Rules

5440×	`rational.json-simplify-41`
1792×	`rational.json-simplify-35`
1296×	`rational.json-simplify-2`
1108×	`rational.json-simplify-51`
1014×	`rational.json-simplify-1`

Iterations

Useful iterations: 14 (0.0ms)

Iter	Nodes	Cost
0	205	5301
1	460	4793
2	947	4769
3	2152	4735
4	3861	4735
5	4298	4735
6	4410	4735
7	4507	4735
8	4599	4735
9	4689	4735
10	5075	4735
11	5167	4735
12	5253	4735
13	5338	4735
14	5338	4687

Stop Event

1×	node limit

Counts

127 → 131

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (*.f64 1/2 (log.f64 2)) (log.f64 (sqrt.f64 2)))
(+.f64 (.f64 1/2 (log.f64 2)) (+.f64 (.f64 (-.f64 (+.f64 1/4 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) y) x) (log.f64 (sqrt.f64 2))))
(+.f64 (.f64 1/2 (log.f64 2)) (+.f64 (.f64 (-.f64 (+.f64 1/4 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) y) x) (+.f64 (log.f64 (sqrt.f64 2)) (.f64 (+.f64 1/16 (.f64 1/2 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (pow.f64 x 2)))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (log.f64 2)) (+.f64 (.f64 (-.f64 (+.f64 1/4 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) y) x) (+.f64 (log.f64 (sqrt.f64 2)) (.f64 (+.f64 1/16 (.f64 1/2 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (pow.f64 x 2))))))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(*.f64 1/2 (log.f64 2))
(+.f64 (.f64 1/2 (log.f64 2)) (.f64 (-.f64 1/4 y) x))
(+.f64 (.f64 1/2 (log.f64 2)) (+.f64 (.f64 (-.f64 1/4 y) x) (*.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (log.f64 2)) (+.f64 (.f64 (-.f64 1/4 y) x) (+.f64 (.f64 -1/384 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 2)))))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 0)
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4))
(+.f64 0 (log.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4) (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(-.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 0)
(*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 1)
(*.f64 1 (log.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 2)
(.f64 1/4 (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 4))
(*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) 4)
(.f64 1/2 (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 2))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 4 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(.f64 (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2)
(.f64 (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 4) 1/4)
(*.f64 1/8 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 8)))
(/.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 1)
(/.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 2) 2)
(/.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 4) 4)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 4))))) 64)
(pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 1)
(-.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 0)
(.f64 1 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)))
(.f64 1/4 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4))
(.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 1)
(.f64 1/2 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 2))
(.f64 1/2 (+.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 2)))
(.f64 2 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 1/2))
(.f64 4 (/.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4))
(.f64 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 2) 1/2)
(.f64 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4) 1/4)
(.f64 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 1/2) 2)
(.f64 (/.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4) 4)
(.f64 (+.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 2)) 1/2)
(/.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 1)
(/.f64 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 2) 2)
(/.f64 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4))))) 64)
(pow.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 1)
(-.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 0)
(.f64 1 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))))
(.f64 1/4 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 4))
(.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))) 1)
(.f64 1/2 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 2))
(.f64 1/2 (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (.f64 x (+.f64 y y)))))
(.f64 2 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 1/2))
(.f64 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))) 4))
(.f64 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 4) 1/4)
(.f64 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 1/2) 2)
(.f64 (/.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))) 4) 4)
(.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (.f64 x (+.f64 y y)))) 1/2)
(/.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 1)
(/.f64 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))) 2) 2)
(/.f64 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))) 4))))) 64)
(pow.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 1)

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 1/8 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 x 2))) (*.f64 -1/192 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -1/192 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (*.f64 1/2 (log.f64 2)) (log.f64 (sqrt.f64 2)))
(log.f64 2)
(+.f64 (.f64 1/2 (log.f64 2)) (+.f64 (.f64 (-.f64 (+.f64 1/4 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) y) x) (log.f64 (sqrt.f64 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (.f64 (log.f64 2) 1) (.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 1/2 (log.f64 2)) (+.f64 (.f64 (-.f64 (+.f64 1/4 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) y) x) (+.f64 (log.f64 (sqrt.f64 2)) (.f64 (+.f64 1/16 (.f64 1/2 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 (sqrt.f64 2)) (.f64 x (-.f64 1/2 y)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (log.f64 2) 1) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (log.f64 2)) (+.f64 (.f64 (-.f64 (+.f64 1/4 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) y) x) (+.f64 (log.f64 (sqrt.f64 2)) (.f64 (+.f64 1/16 (.f64 1/2 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (pow.f64 x 2))))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))) (.f64 1/6 (.f64 (+.f64 1/32 (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) 2)) (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 4)))) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 (sqrt.f64 2)) (.f64 x (-.f64 1/2 y)))) (.f64 1/6 (.f64 (+.f64 1/32 (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) 2)) (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 4)))) (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (log.f64 2) 1) (.f64 x (-.f64 1/2 y)))) (.f64 1/6 (.f64 (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) 2)) (+.f64 1/32 (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 4)))) (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))) (.f64 1/6 (.f64 (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) 2)) (+.f64 1/32 (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 4)))) (pow.f64 x 3))))
(+.f64 (log.f64 2) (+.f64 (.f64 x (-.f64 1/2 y)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/6 (.f64 (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2))) 2)) (+.f64 1/32 (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 4)))) (pow.f64 x 3))))))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(+.f64 (+.f64 (.f64 -1 (.f64 x y)) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(+.f64 (+.f64 (.f64 -1 (.f64 x y)) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 -1 (*.f64 y x))))
(+.f64 (+.f64 (.f64 -1 (.f64 x y)) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 (+.f64 1 (exp.f64 x))))
(.f64 -1 (.f64 y x))
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(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))
(.f64 2 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 1/2))
(+.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3/4) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (.f64 x y)))
(.f64 4 (/.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4))
(+.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3/4) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (.f64 x y)))
(.f64 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 2) 1/2)
(+.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3/4) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (.f64 x y)))
(.f64 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4) 1/4)
(+.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3/4) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (.f64 x y)))
(.f64 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 1/2) 2)
(+.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3/4) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (.f64 x y)))
(.f64 (/.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4) 4)
(+.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3/4) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (.f64 x y)))
(.f64 (+.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 2)) 1/2)
(.f64 1/2 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 2 (+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))
(/.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 1)
(+.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3/4) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (.f64 x y)))
(/.f64 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 2) 2)
(+.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3/4) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (.f64 x y)))
(/.f64 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4) 4)
(+.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3/4) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (.f64 x y)))
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4)) 8)
(+.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3/4) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (.f64 x y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4))) 16)
(+.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3/4) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (.f64 x y)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4)))) 32)
(+.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3/4) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (.f64 x y)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 4))))) 64)
(+.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3/4) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (.f64 x y)))
(pow.f64 (+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3/4)) 1)
(+.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3/4) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (.f64 x y)))
(-.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 0)
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(.f64 1 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))))
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(.f64 1/4 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 4))
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))) 1)
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(.f64 1/2 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 2))
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(.f64 1/2 (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (.f64 x (+.f64 y y)))))
(.f64 1/2 (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (.f64 x (+.f64 y y)))))
(.f64 1/2 (+.f64 (neg.f64 (.f64 x (+.f64 y y))) (log.f64 (+.f64 1 (exp.f64 x)))))
(.f64 2 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 1/2))
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(.f64 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 2) 1/2)
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(.f64 4 (/.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))) 4))
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(.f64 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 4) 1/4)
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(.f64 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 1/2) 2)
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(.f64 (/.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))) 4) 4)
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (.f64 x (+.f64 y y)))) 1/2)
(.f64 1/2 (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (.f64 x (+.f64 y y)))))
(.f64 1/2 (+.f64 (neg.f64 (.f64 x (+.f64 y y))) (log.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 1)
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(/.f64 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))) 2) 2)
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(/.f64 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))) 4) 4)
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 4)) 8)
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))) 4))) 16)
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 4)))) 32)
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (.f64 x y))) 4))))) 64)
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))
(pow.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (*.f64 x y))) 1)
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (-.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (*.f64 x y)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite185.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2322×	`rational.json-simplify-2`
1500×	`rational.json-1`
1500×	`rational.json-2`
1500×	`rational.json-3`
1422×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	45	11
2	96	11
3	186	11
4	347	11
5	778	11
6	1953	11
7	3503	11
8	4559	11
9	6272	11
10	7459	11
11	7648	11
12	7882	11

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify322.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

4174×	`rational.json-simplify-51`
2004×	`rational.json-simplify-49`
1866×	`rational.json-simplify-35`
1182×	`rational.json-simplify-1`
774×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	906
1	210	890
2	505	866
3	1248	858
4	1987	858
5	2856	858
6	3286	858
7	3405	858
8	3480	858
9	3544	858
10	3605	858
11	3663	858
12	3723	858
13	3781	858
14	3839	858
15	3897	858
16	3955	858
17	4013	858
18	4071	858
19	5426	858

Stop Event

1×	node limit

Counts

40 → 75

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 1/2 y))
✓	0.0b	(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 1/2 y)))
✓	1.0b	(log.f64 (sqrt.f64 2))

Compiler

Compiled 35 to 28 computations (20% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 1/2 y)))
1.0ms	y	@	0	(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 1/2 y)))
0.0ms	y	@	inf	(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 1/2 y)))
0.0ms	x	@	inf	(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 1/2 y)))
0.0ms	y	@	-inf	(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 1/2 y)))

rewrite213.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`rational.json-1`
1422×	`rational.json-2`
1422×	`rational.json-3`
1364×	`exponential.json-3`
1364×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	85	55
2	171	45
3	365	45
4	637	45
5	1434	45
6	2860	45
7	4414	45
8	5940	45
9	7434	45

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Outputs

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

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

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

simplify526.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4502×	`rational.json-simplify-41`
3646×	`rational.json-simplify-35`
2066×	`rational.json-simplify-2`
1136×	`rational.json-simplify-51`
944×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	2621
1	309	2357
2	669	2177
3	1858	1911
4	4092	1911
5	4927	1911
6	5382	1911
7	5711	1911
8	5949	1911
9	6139	1911
10	6653	1911
11	6784	1911
12	6827	1911
13	6857	1911
14	6859	1911
15	7035	1911
16	7237	1911
17	7413	1911
18	7589	1911
19	7765	1911

Stop Event

1×	node limit

Counts

113 → 99

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 (sqrt.f64 2)) (*.f64 y x))
✓	0.0b	(+.f64 (log.f64 (sqrt.f64 2)) (-.f64 (log.f64 (sqrt.f64 2)) (*.f64 y x)))
	1.0b	(log.f64 (sqrt.f64 2))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`rational.json-simplify-35`
1366×	`rational.json-1`
1366×	`rational.json-2`
1366×	`rational.json-3`
1332×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	73	56
2	154	56
3	311	56
4	580	42
5	1351	42
6	2787	42
7	4518	42
8	6278	42

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(+.f64 (log.f64 (sqrt.f64 2)) (-.f64 (log.f64 (sqrt.f64 2)) (*.f64 y x)))
(-.f64 (log.f64 (sqrt.f64 2)) (*.f64 y x))

Outputs

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

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

simplify661.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

3198×	`rational.json-simplify-35`
1376×	`rational.json-simplify-1`
1254×	`rational.json-simplify-2`
1078×	`rational.json-simplify-42`
1022×	`rational.json-simplify-48`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	144	3028
1	315	3028
2	655	2864
3	1728	2864
4	3204	2618
5	3961	2618
6	4285	2618
7	4678	2618
8	5150	2618
9	5378	2618
10	5616	2618
11	5765	2618
12	5911	2618
13	6234	2618
14	6334	2618
15	6412	2618
16	6654	2618
17	6946	2618
18	7572	2618
19	7868	2618

Stop Event

1×	node limit

Counts

114 → 87

Calls

Call 1

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

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

eval201.0ms (1.3%)

Compiler: Compiled 10705 to 8124 computations (24.1% saved)

prune99.0ms (0.7%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	545	4	549
Fresh	0	3	3
Picked	1	0	1
Done	2	6	8
Total	548	13	561

Error

0.4b

Counts

561 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	5.4b	(-.f64 (log.f64 2) (*.f64 x y))
▶	5.4b	(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 2) -2)
✓	10.1b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	6.0b	(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (neg.f64 (.f64 y x)))
▶	25.9b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	6.0b	(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 (log.f64 2) 1/4) (-.f64 (.f64 (log.f64 2) 1/4) (*.f64 y x))))
✓	47.3b	(*.f64 (-.f64 1/2 y) x)
	5.4b	(.f64 (+.f64 (log.f64 4) (-.f64 (log.f64 4) (.f64 y (*.f64 x 4)))) 1/4)
✓	37.8b	(*.f64 y (neg.f64 x))
▶	61.8b	(*.f64 1/2 x)
✓	26.4b	(log.f64 (+.f64 2 x))
✓	25.8b	(log.f64 (+.f64 1 (exp.f64 x)))
▶	25.9b	(log.f64 2)

Compiler

Compiled 200 to 168 computations (16% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 x))
	0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
	0.5b	(log.f64 (+.f64 1 (exp.f64 x)))
✓	0.8b	(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 2) -2)

Compiler

Compiled 54 to 30 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite125.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1650×	`rational.json-1`
1650×	`rational.json-2`
1650×	`rational.json-3`
1280×	`exponential.json-3`
1280×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	106	27
2	207	27
3	399	27
4	779	27
5	1942	27
6	4063	27
7	5654	27
8	7518	27

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 2) -2)

Outputs

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

simplify210.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2036×	`rational.json-simplify-35`
1290×	`rational.json-simplify-2`
1110×	`rational.json-simplify-1`
1028×	`rational.json-simplify-52`
806×	`rational.json-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	2154
1	284	2030
2	560	2030
3	1688	1798
4	3767	1798
5	5351	1798
6	5875	1798
7	6282	1798
8	6729	1798
9	7647	1798

Stop Event

1×	node limit

Counts

68 → 67

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 1 (-.f64 (+.f64 1 (*.f64 x y)) (log.f64 (+.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (-.f64 (+.f64 (*.f64 x y) -1) -1))
(-.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 0)
(-.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (-.f64 (*.f64 x y) 2)) 2)
(-.f64 0 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))
(-.f64 -1 (+.f64 (*.f64 x y) (-.f64 -1 (log.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))) 1)
(-.f64 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2) (.f64 1/2 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 1 (*.f64 x y))) -1)
(-.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (+.f64 1 (*.f64 x y)))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) -1) (+.f64 (*.f64 x y) -1))
(-.f64 (+.f64 1 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2)) (-.f64 (.f64 1/2 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) -1))
(-.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) -1) (*.f64 x y))
(-.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2)) 1) (.f64 1/2 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (.f64 1/2 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))) (.f64 x (.f64 y 1/2)))
(-.f64 (-.f64 (-.f64 -1 (.f64 1/2 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))) -1) (.f64 1/2 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))))
(.f64 1 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)))
(.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1)
(.f64 2 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2))
(.f64 -1 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 2) 1/2)
(.f64 4 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -4))
(.f64 4 (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4) (/.f64 (.f64 x y) 4)))
(.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -1)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 2))
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 4))
(.f64 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2) 2)
(.f64 (.f64 1/2 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) -2)
(.f64 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -4) 4)
(/.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 1)
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 2) 2)
(/.f64 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -1)
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 4) 4)
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 8) 8)
(/.f64 (.f64 2 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) -2)
(/.f64 (.f64 4 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 8)) 16)
(/.f64 (.f64 2 (.f64 4 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 8)))) 64)
(pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 1)
(neg.f64 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))

Outputs
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (-.f64 1/2 y) x)))
(+.f64 (log.f64 2) (+.f64 (.f64 (-.f64 1/2 y) x) (.f64 1/8 (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 x 2))) (*.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))))
(.f64 -1 (.f64 y x))
(.f64 y (.f64 x -1))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 y (.f64 x -1))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 y (.f64 x -1))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 y (.f64 x -1))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 1 (-.f64 (+.f64 1 (*.f64 x y)) (log.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (-.f64 (+.f64 (*.f64 x y) -1) -1))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 0)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (-.f64 (*.f64 x y) 2)) 2)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 0 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 -1 (+.f64 (*.f64 x y) (-.f64 -1 (log.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))) 1)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2) (.f64 1/2 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 1 (*.f64 x y))) -1)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (+.f64 1 (*.f64 x y)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) -1) (+.f64 (*.f64 x y) -1))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (+.f64 1 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2)) (-.f64 (.f64 1/2 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) -1))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) -1) (*.f64 x y))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2)) 1) (.f64 1/2 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (.f64 1/2 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))) (.f64 x (.f64 y 1/2)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (-.f64 (-.f64 -1 (.f64 1/2 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))) -1) (.f64 1/2 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 1 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 2 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 2) 1/2)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 4 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -4))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 4 (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4) (/.f64 (.f64 x y) 4)))
(.f64 4 (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4) (.f64 y (/.f64 x 4))))
(.f64 4 (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4) (/.f64 (.f64 y x) 4)))
(.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -1)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 4) 1/4)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 1/2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 2))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 4))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -2) 2)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 (.f64 1/2 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) -2)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -4) 4)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(/.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 1)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 2) 2)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(/.f64 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) -1)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 4) 4)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 8) 8)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(/.f64 (.f64 2 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) -2)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(/.f64 (.f64 4 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) -4)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 8)) 16)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(/.f64 (.f64 2 (.f64 4 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))) -8)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 8))) 32)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 8)))) 64)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 1)
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(neg.f64 (-.f64 (*.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (.f64 y (.f64 x -1)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite212.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2076×	`rational.json-simplify-2`
1390×	`rational.json-simplify-1`
1372×	`rational.json-simplify-35`
1206×	`rational.json-1`
1206×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	58	17
2	113	17
3	217	17
4	393	17
5	873	17
6	2215	17
7	3851	17
8	4554	17
9	5628	17
10	6338	17
11	6429	17
12	6510	17
13	7361	17

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify522.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

5208×	`rational.json-simplify-35`
2166×	`rational.json-simplify-44`
1754×	`rational.json-simplify-2`
1548×	`rational.json-simplify-49`
1010×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	456
1	123	456
2	201	456
3	360	456
4	754	456
5	1945	456
6	2713	456
7	2926	456
8	3027	456
9	3097	456
10	3168	456
11	3242	456
12	4009	456
13	4209	456
14	4341	456
15	4471	456
16	4601	456
17	4601	456
18	4949	456
19	4949	456
20	5079	456
21	5209	456
22	5339	456
23	5469	456
24	5599	456
25	5729	456
26	5859	456
27	7431	456
28	7432	456
29	7446	456
30	7459	456
31	7459	456

Stop Event

1×	node limit

Counts

28 → 29

Calls

Call 1

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

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

localize100.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (neg.f64 (.f64 y x)))
	1.0b	(log.f64 (sqrt.f64 2))

Compiler

Compiled 32 to 21 computations (34.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite152.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`rational.json-1`
1416×	`rational.json-2`
1416×	`rational.json-3`
1368×	`exponential.json-3`
1368×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	84	31
2	191	21
3	430	21
4	848	21
5	2065	21
6	4099	21
7	5932	21
8	7355	21
9	7740	21

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (neg.f64 (.f64 y x)))

Outputs

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

simplify373.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2050×	`rational.json-simplify-2`
1974×	`rational.json-simplify-35`
1792×	`rational.json-simplify-1`
1486×	`rational.json-simplify-49`
1150×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	1285
1	148	1285
2	292	1145
3	849	1145
4	1655	935
5	3352	935
6	3697	935
7	3819	935
8	3904	935
9	3969	935
10	4500	935
11	5282	935
12	5430	935
13	5658	935
14	6177	935
15	6288	935
16	6356	935
17	6424	935
18	6522	935
19	7570	935

Stop Event

1×	node limit

Counts

45 → 34

Calls

Call 1

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

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

eval106.0ms (0.7%)

Compiler: Compiled 4325 to 3070 computations (29% saved)

prune65.0ms (0.4%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	294	3	297
Fresh	0	2	2
Picked	0	1	1
Done	1	9	10
Total	295	15	310

Error

0.4b

Counts

310 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	5.4b	(-.f64 (log.f64 2) (*.f64 x y))
	42.4b	(+.f64 (+.f64 (*.f64 y (neg.f64 x)) 2) -2)
	26.4b	(+.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) -2)
✓	10.1b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	6.0b	(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (neg.f64 (.f64 y x)))
✓	25.9b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	6.0b	(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 (log.f64 2) 1/4) (-.f64 (.f64 (log.f64 2) 1/4) (*.f64 y x))))
✓	47.3b	(*.f64 (-.f64 1/2 y) x)
	5.4b	(.f64 (+.f64 (log.f64 4) (-.f64 (log.f64 4) (.f64 y (*.f64 x 4)))) 1/4)
✓	37.8b	(*.f64 y (neg.f64 x))
✓	61.8b	(*.f64 1/2 x)
	25.9b	(*.f64 1/4 (+.f64 x (+.f64 x (log.f64 16))))
✓	26.4b	(log.f64 (+.f64 2 x))
✓	25.8b	(log.f64 (+.f64 1 (exp.f64 x)))
✓	25.9b	(log.f64 2)

Compiler

Compiled 138 to 115 computations (16.7% saved)

regimes49.0ms (0.3%)

Counts

22 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (+.f64 (*.f64 y (neg.f64 x)) 2) -2)
(log.f64 2)
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 1/4 (+.f64 x (+.f64 x (log.f64 16))))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) -2)
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (neg.f64 (.f64 y x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 1/2 y)))
(.f64 (+.f64 (log.f64 4) (-.f64 (log.f64 4) (.f64 y (*.f64 x 4)))) 1/4)
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (-.f64 -1 (*.f64 x y))))
(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 2) -2)
(+.f64 (log.f64 (sqrt.f64 2)) (-.f64 (log.f64 (sqrt.f64 2)) (*.f64 y x)))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 (log.f64 2) 1/4) (-.f64 (.f64 (log.f64 2) 1/4) (*.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/4) (*.f64 x y))))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Calls

3 calls:

13.0ms	x
12.0ms	y
7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 227 to 159 computations (30% saved)

regimes31.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (+.f64 (*.f64 y (neg.f64 x)) 2) -2)
(log.f64 2)
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 1/4 (+.f64 x (+.f64 x (log.f64 16))))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) -2)

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

Calls

2 calls:

20.0ms	x
7.0ms	y

Results

Error	Segments	Branch
0.5b	2	`x`
5.4b	1	`y`

Compiler

Compiled 76 to 54 computations (28.9% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	-38.714592055220386	-6.031155073125028

Results

11.0ms

96×

body

256

valid

Compiler

Compiled 124 to 96 computations (22.6% saved)

regimes19.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (+.f64 (*.f64 y (neg.f64 x)) 2) -2)
(log.f64 2)
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 1/4 (+.f64 x (+.f64 x (log.f64 16))))

Outputs
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))

Calls

2 calls:

11.0ms	x
6.0ms	y

Results

Error	Segments	Branch
0.6b	2	`x`
5.4b	1	`y`

Compiler

Compiled 54 to 37 computations (31.5% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	-38.714592055220386	-6.031155073125028

Results

14.0ms

96×

body

256

valid

Compiler

Compiled 112 to 84 computations (25% saved)

regimes44.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	y
13.0ms	x

Results

Error	Segments	Branch
10.2b	2	`x`
18.1b	5	`y`

Compiler

Compiled 40 to 27 computations (32.5% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	-1.2955111336294703e-55	-3.70132523352259e-56

Results

11.0ms

80×

body

256

valid

Compiler

Compiled 96 to 77 computations (19.8% saved)

regimes40.0ms (0.3%)

Counts

6 → 2

Calls

Call 1

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

Outputs
(*.f64 y (neg.f64 x))
(log.f64 (+.f64 2 x))

Calls

2 calls:

28.0ms	y
11.0ms	x

Results

Error	Segments	Branch
10.2b	2	`x`
18.4b	5	`y`

Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	-1.2955111336294703e-55	-3.70132523352259e-56

Results

12.0ms

80×

body

256

valid

Compiler

Compiled 86 to 67 computations (22.1% saved)

regimes43.0ms (0.3%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(*.f64 y (neg.f64 x))
(log.f64 2)

Calls

2 calls:

32.0ms	y
10.0ms	x

Results

Error	Segments	Branch
10.3b	2	`x`
18.4b	5	`y`

Compiler

Compiled 30 to 19 computations (36.7% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	-1.2955111336294703e-55	-3.70132523352259e-56

Results

10.0ms

80×

body

256

valid

Compiler

Compiled 76 to 62 computations (18.4% saved)

regimes20.0ms (0.1%)

Accuracy

Total -24.4b remaining (-64.4%)

Threshold costs -24.4b (-64.4%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 y (neg.f64 x))

Calls

2 calls:

15.0ms	y
4.0ms	x

Results

Error	Segments	Branch
37.8b	1	`x`
37.8b	1	`y`

Compiler

Compiled 28 to 17 computations (39.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	218

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x -6980579422424269/1125899906842624) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -35) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -869620039695611/6901746346790563787434755862277025452451108972170386555162524223799296) (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -7509100025308133/110427941548649020598956093796432407239217743554726184882600387580788736) (*.f64 y (neg.f64 x)) (log.f64 (+.f64 2 x)))
(if (<=.f64 x -379596049073481/3450873173395281893717377931138512726225554486085193277581262111899648) (*.f64 y (neg.f64 x)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x -6980579422424269/1125899906842624) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -35) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -869620039695611/6901746346790563787434755862277025452451108972170386555162524223799296) (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -7509100025308133/110427941548649020598956093796432407239217743554726184882600387580788736) (*.f64 y (neg.f64 x)) (log.f64 (+.f64 2 x)))
(if (<=.f64 x -379596049073481/3450873173395281893717377931138512726225554486085193277581262111899648) (*.f64 y (neg.f64 x)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)

Compiler

Compiled 98 to 71 computations (27.6% saved)

soundness0.0ms (0%)

end82.0ms (0.5%)

Compiler: Compiled 84 to 46 computations (45.2% saved)

Details

analyze146.0ms (1%)

sample6.0s (40.3%)

preprocess11.0ms (0.1%)

simplify9.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.1%)

series44.0ms (0.3%)

rewrite114.0ms (0.8%)

simplify162.0ms (1.1%)

eval35.0ms (0.2%)

prune27.0ms (0.2%)

localize22.0ms (0.1%)

series48.0ms (0.3%)

rewrite106.0ms (0.7%)

simplify200.0ms (1.3%)

localize8.0ms (0.1%)

localize8.0ms (0.1%)

series5.0ms (0%)

rewrite141.0ms (0.9%)

simplify380.0ms (2.5%)

localize13.0ms (0.1%)

series3.0ms (0%)

rewrite232.0ms (1.6%)

simplify428.0ms (2.9%)

localize7.0ms (0%)

eval635.0ms (4.2%)

prune549.0ms (3.7%)

localize42.0ms (0.3%)

series3.0ms (0%)

rewrite262.0ms (1.7%)

simplify605.0ms (4%)

localize5.0ms (0%)

localize5.0ms (0%)

series1.0ms (0%)

rewrite185.0ms (1.2%)

simplify322.0ms (2.2%)

localize19.0ms (0.1%)

series5.0ms (0%)

rewrite213.0ms (1.4%)

simplify526.0ms (3.5%)

localize16.0ms (0.1%)

series1.0ms (0%)

rewrite108.0ms (0.7%)

simplify661.0ms (4.4%)

eval201.0ms (1.3%)

prune99.0ms (0.7%)

localize38.0ms (0.3%)

series1.0ms (0%)

rewrite125.0ms (0.8%)

simplify210.0ms (1.4%)

localize3.0ms (0%)

localize3.0ms (0%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite212.0ms (1.4%)

simplify522.0ms (3.5%)

localize100.0ms (0.7%)

series1.0ms (0%)

rewrite152.0ms (1%)

simplify373.0ms (2.5%)

eval106.0ms (0.7%)

prune65.0ms (0.4%)

regimes49.0ms (0.3%)

regimes31.0ms (0.2%)

bsearch13.0ms (0.1%)

regimes19.0ms (0.1%)

bsearch16.0ms (0.1%)

regimes44.0ms (0.3%)

bsearch12.0ms (0.1%)

regimes40.0ms (0.3%)

bsearch14.0ms (0.1%)

regimes43.0ms (0.3%)

bsearch11.0ms (0.1%)

regimes20.0ms (0.1%)

simplify5.0ms (0%)

soundness0.0ms (0%)

end82.0ms (0.5%)

Profiling