Details

analyze268.0ms (3.3%)

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)

sample5.3s (65.1%)

Results

3.6s	2584×	body	8192	exit
1.3s	7795×	body	256	valid
214.0ms	224×	body	1024	valid
114.0ms	128×	body	256	infinite
79.0ms	234×	body	512	valid
3.0ms	3×	body	2048	valid

Bogosity

preprocess14.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

4×	`rational_best-simplify-1`
4×	`rational_best-simplify-16`
2×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	19	54
2	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)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-2`
2×	`rational_best-simplify-1`
2×	`rational_best-simplify-16`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	13	27
2	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

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(-.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 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	0.3b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 28 to 14 computations (50% saved)

series44.0ms (0.5%)

Counts

2 → 28

Calls

9 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)))
2.0ms	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))

rewrite105.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`rational_best-simplify-57`
570×	`rational_best-5`
568×	`rational_best-4`
568×	`rational_best-2`
568×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	89	42
2	293	42
3	1252	42
4	5390	42

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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 (+.f64 1 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (+.f64 1 (exp.f64 x)))))))) (#(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 (log.f64 (+.f64 1 (exp.f64 x))) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (log.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 (log.f64 (+.f64 1 (exp.f64 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))) (/.f64 1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (log.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (log.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (log.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (log.f64 (+.f64 1 (exp.f64 x)))) (/.f64 1 (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 (log.f64 (+.f64 1 (exp.f64 x))))) (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))) (log.f64 (+.f64 1 (exp.f64 x))))) (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (log.f64 (+.f64 1 (exp.f64 x)))) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (log.f64 (+.f64 1 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (log.f64 (+.f64 1 (exp.f64 x))))) (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (log.f64 (+.f64 1 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (log.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (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 1 (log.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (log.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (log.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (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 (log.f64 (+.f64 1 (exp.f64 x))) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (log.f64 (+.f64 1 (exp.f64 x)))))))) (#(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 (neg.f64 (log.f64 (+.f64 1 (exp.f64 x)))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 x)))))))))
((#(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 (log.f64 (+.f64 1 (exp.f64 x))) (-.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.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 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 (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))) 2) (-.f64 0 (+.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)) (.f64 (neg.f64 (.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (.f64 x y)) 2) (+.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 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 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) (-.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 x y)) (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) (/.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)) (/.f64 1 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)))))) (#(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 1 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y))) (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.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))) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))) (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) (.f64 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.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)) (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)))) (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y))) (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (-.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))) (.f64 x y))) (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.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)))) (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))))) (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y))) (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))) (.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) (-.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 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) (/.f64 (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (.f64 x y) (log.f64 (+.f64 1 (exp.f64 x))))))))) (#(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)) 2) 2)))) (#(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 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)))))))))

Outputs

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

simplify221.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1048×	`rational_best-simplify-129`
806×	`rational_best-simplify-49`
796×	`rational_best-simplify-80`
748×	`rational_best-simplify-24`
730×	`rational_best-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	2145
1	266	2137
2	828	1965
3	2861	1965
4	7293	1965

Stop Event

1×	node limit

Counts

83 → 88

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

eval30.0ms (0.4%)

Compiler: Compiled 1749 to 1020 computations (41.7% saved)

prune16.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	83	5	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	5	89

Error

0.0b

Counts

89 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.9b	(-.f64 (log.f64 2) (*.f64 x y))
▶	0.3b	(+.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) (.f64 -2 (*.f64 x y)))
▶	11.0b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	33.3b	(*.f64 y (neg.f64 x))
▶	29.5b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 96 to 70 computations (27.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) (.f64 -2 (*.f64 x y)))
✓	0.0b	(.f64 -2 (.f64 x y))
✓	0.0b	(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
	0.3b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 49 to 24 computations (51% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite130.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`rational_best-simplify-44`
746×	`rational_best-simplify-47`
726×	`rational_best-5`
724×	`rational_best-4`
724×	`rational_best-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	117	85
2	376	73
3	1608	71
4	7050	71

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

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

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

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

simplify207.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1472×	`rational_best-simplify-54`
1016×	`rational_best-simplify-2`
944×	`rational_best-simplify-24`
916×	`rational_best-simplify-78`
908×	`rational_best-simplify-80`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	3519
1	302	3183
2	1194	3015
3	4005	3015
4	6656	3015

Stop Event

1×	node limit

Counts

123 → 104

Calls

Call 1

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

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 y) x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 (+.f64 1/2 y) x)))
(+.f64 (+.f64 (log.f64 2) (.f64 (+.f64 1/2 y) x)) (.f64 1/8 (pow.f64 x 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 (+.f64 1/2 y) x) (.f64 1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (log.f64 2) (*.f64 (+.f64 1/2 y) x))))
(+.f64 (+.f64 (log.f64 2) (.f64 (+.f64 1/2 y) x)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (+.f64 (log.f64 2) (.f64 (+.f64 1/2 y) x)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 1/2 y) x) (*.f64 -1/192 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (+.f64 1/2 y) x) (*.f64 -1/192 (pow.f64 x 4)))))
(*.f64 y x)
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (*.f64 y 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 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(+.f64 (*.f64 y x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 (+.f64 (.f64 -2 y) (+.f64 1/2 y)) x))
(+.f64 (log.f64 2) (.f64 x (+.f64 y (+.f64 1/2 (.f64 y -2)))))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (+.f64 y (.f64 y -2)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 (+.f64 (*.f64 -2 y) (+.f64 1/2 y)) x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 x (+.f64 y (+.f64 1/2 (*.f64 y -2))))))
(+.f64 (log.f64 2) (+.f64 (.f64 x (+.f64 1/2 (+.f64 y (.f64 y -2)))) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (+.f64 1/2 (+.f64 y (*.f64 y -2))))))
(+.f64 (.f64 x (+.f64 1/2 (+.f64 y (.f64 y -2)))) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (log.f64 2) (.f64 (+.f64 (.f64 -2 y) (+.f64 1/2 y)) x))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (log.f64 2) (.f64 x (+.f64 y (+.f64 1/2 (.f64 y -2)))))))
(+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (log.f64 2) (+.f64 (.f64 x (+.f64 1/2 (+.f64 y (.f64 y -2)))) (.f64 1/8 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 x 2))) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 x (+.f64 1/2 (+.f64 y (.f64 y -2))))))
(+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 x (+.f64 1/2 (+.f64 y (.f64 y -2)))) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 x 2)))))
(.f64 (+.f64 (.f64 -2 y) y) x)
(.f64 x (+.f64 y (.f64 y -2)))
(+.f64 (.f64 (+.f64 (.f64 -2 y) y) x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x (+.f64 y (.f64 y -2))))
(+.f64 (.f64 (+.f64 (.f64 -2 y) y) x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x (+.f64 y (.f64 y -2))))
(+.f64 (.f64 (+.f64 (.f64 -2 y) y) x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x (+.f64 y (.f64 y -2))))
(.f64 -1 (.f64 (+.f64 (.f64 2 y) (.f64 -1 y)) x))
(.f64 -1 (.f64 x (+.f64 (*.f64 2 y) (neg.f64 y))))
(.f64 (.f64 y 1) (neg.f64 x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 (+.f64 (.f64 2 y) (.f64 -1 y)) x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x (+.f64 (*.f64 2 y) (neg.f64 y)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 (.f64 y 1) (neg.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 (+.f64 (.f64 2 y) (.f64 -1 y)) x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x (+.f64 (*.f64 2 y) (neg.f64 y)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 (.f64 y 1) (neg.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 (+.f64 (.f64 2 y) (.f64 -1 y)) x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x (+.f64 (*.f64 2 y) (neg.f64 y)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 (.f64 y 1) (neg.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 y (+.f64 x (.f64 x -2))))
(+.f64 (.f64 (+.f64 (.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 y (+.f64 x (.f64 x -2))))
(+.f64 (.f64 (+.f64 (.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 y (+.f64 x (.f64 x -2))))
(.f64 (+.f64 (.f64 -2 x) x) y)
(.f64 y (+.f64 x (.f64 x -2)))
(+.f64 (.f64 (+.f64 (.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 y (+.f64 x (.f64 x -2))))
(+.f64 (.f64 (+.f64 (.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 y (+.f64 x (.f64 x -2))))
(+.f64 (.f64 (+.f64 (.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 y (+.f64 x (.f64 x -2))))
(.f64 -1 (.f64 (+.f64 (.f64 2 x) (.f64 -1 x)) y))
(.f64 -1 (.f64 x (+.f64 (*.f64 2 y) (neg.f64 y))))
(.f64 (.f64 y 1) (neg.f64 x))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 x) (.f64 -1 x)) y)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x (+.f64 (*.f64 2 y) (neg.f64 y)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 (.f64 y 1) (neg.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 x) (.f64 -1 x)) y)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x (+.f64 (*.f64 2 y) (neg.f64 y)))))
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localize4.0ms (0%)

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 (0.1%)

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	x	@	-inf	(-.f64 (log.f64 2) (*.f64 x y))

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`rational_best-simplify-82`
860×	`rational_best-simplify-57`
672×	`rational_best-simplify-80`
588×	`rational_best-simplify-49`
556×	`rational_best-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	74	17
2	241	17
3	986	17
4	4287	17

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify216.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

870×	`rational_best-simplify-2`
824×	`rational_best-simplify-43`
632×	`rational_best-simplify-80`
616×	`rational_best-simplify-82`
580×	`rational_best-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1361
1	161	1353
2	351	1121
3	1181	1121
4	2285	1121
5	3627	1121
6	6848	1121

Stop Event

1×	node limit

Counts

65 → 55

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) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (-.f64 (-.f64 (log.f64 2) (*.f64 x y)) (log.f64 2)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 0)
(+.f64 0 (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 2))
(+.f64 (.f64 2 (log.f64 2)) (-.f64 0 (+.f64 (log.f64 2) (.f64 x y))))
(+.f64 (+.f64 (log.f64 2) (.f64 x y)) (.f64 (neg.f64 (*.f64 x y)) 2))
(+.f64 (.f64 (neg.f64 (.f64 x y)) 2) (+.f64 (log.f64 2) (*.f64 x y)))
(.f64 (-.f64 (log.f64 2) (.f64 x y)) 1)
(.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y))))
(.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))))
(.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))))
(.f64 1 (-.f64 (log.f64 2) (.f64 x y)))
(.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y))) (-.f64 (log.f64 2) (.f64 x y)))
(.f64 (-.f64 (.f64 x y) (log.f64 2)) -1)
(.f64 (/.f64 1 (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2))))
(.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x y))))
(.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))) (/.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y))) (-.f64 (log.f64 2) (*.f64 x y))))
(.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))) (/.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (-.f64 (log.f64 2) (.f64 x y)))) (-.f64 (log.f64 2) (.f64 x y))))
(.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (-.f64 (log.f64 2) (.f64 x y)))) (-.f64 (log.f64 2) (*.f64 x y)))
(.f64 (/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))) (-.f64 (log.f64 2) (.f64 x y)))
(.f64 (/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y))) (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (*.f64 x y))))))
(.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))) (/.f64 (/.f64 1 (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))))
(.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))) (/.f64 (/.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y))) (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))))
(.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))) (/.f64 (/.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (-.f64 (log.f64 2) (.f64 x y)))) (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2)))))
(.f64 (/.f64 (/.f64 1 (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))))
(.f64 (/.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y))) (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2))))
(.f64 (/.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (-.f64 (log.f64 2) (.f64 x y)))) (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))
(.f64 (.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2)))))))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y))) (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (-.f64 (log.f64 2) (.f64 x y)))) (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2))))))
(.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))))) (.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2)))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))) (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2))))
(.f64 (/.f64 -1 (-.f64 (.f64 x y) (log.f64 2))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2))))
(/.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(/.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (-.f64 (*.f64 x y) (log.f64 2)) -1)
(/.f64 (.f64 2 (-.f64 (log.f64 2) (.f64 x y))) 2)
(/.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) 2) -2)
(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) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (-.f64 (-.f64 (log.f64 2) (*.f64 x y)) (log.f64 2)))
(+.f64 (log.f64 2) (-.f64 (-.f64 (log.f64 2) (*.f64 y x)) (log.f64 2)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 0)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 0 (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 2))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (.f64 2 (log.f64 2)) (-.f64 0 (+.f64 (log.f64 2) (.f64 x y))))
(+.f64 (.f64 2 (log.f64 2)) (neg.f64 (+.f64 (log.f64 2) (.f64 y x))))
(+.f64 (neg.f64 (+.f64 (log.f64 2) (.f64 y x))) (.f64 2 (log.f64 2)))
(+.f64 (+.f64 (log.f64 2) (.f64 x y)) (.f64 (neg.f64 (*.f64 x y)) 2))
(+.f64 (.f64 y x) (+.f64 (log.f64 2) (.f64 2 (neg.f64 (*.f64 y x)))))
(+.f64 (log.f64 2) (+.f64 (.f64 y x) (.f64 (*.f64 y x) -2)))
(+.f64 (log.f64 2) (.f64 y (+.f64 (.f64 x -2) x)))
(+.f64 (log.f64 2) (.f64 y (+.f64 x (.f64 x -2))))
(+.f64 (.f64 (neg.f64 (.f64 x y)) 2) (+.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (.f64 y x) (+.f64 (log.f64 2) (.f64 2 (neg.f64 (*.f64 y x)))))
(+.f64 (log.f64 2) (+.f64 (.f64 y x) (.f64 (*.f64 y x) -2)))
(+.f64 (log.f64 2) (.f64 y (+.f64 (.f64 x -2) x)))
(+.f64 (log.f64 2) (.f64 y (+.f64 x (.f64 x -2))))
(.f64 (-.f64 (log.f64 2) (.f64 x y)) 1)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 1 (-.f64 (log.f64 2) (.f64 x y)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y))) (-.f64 (log.f64 2) (.f64 x y)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (-.f64 (.f64 x y) (log.f64 2)) -1)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (/.f64 1 (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x y))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))) (/.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y))) (-.f64 (log.f64 2) (*.f64 x y))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))) (/.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (-.f64 (log.f64 2) (.f64 x y)))) (-.f64 (log.f64 2) (.f64 x y))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (-.f64 (log.f64 2) (.f64 x y)))) (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))) (-.f64 (log.f64 2) (.f64 x y)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y))) (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (*.f64 x y))))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))) (/.f64 (/.f64 1 (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))) (/.f64 (/.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y))) (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))) (/.f64 (/.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (-.f64 (log.f64 2) (.f64 x y)))) (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2)))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (/.f64 (/.f64 1 (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (/.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y))) (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (/.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (-.f64 (log.f64 2) (.f64 x y)))) (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2)))))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y))) (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 1 (-.f64 (log.f64 2) (.f64 x y)))) (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2))))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2)))))) (.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (.f64 x y) (log.f64 2))))) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2)))))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))) (-.f64 (log.f64 2) (.f64 x y))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (/.f64 -1 (-.f64 (.f64 x y) (log.f64 2))) (.f64 (-.f64 (.f64 x y) (log.f64 2)) (-.f64 (*.f64 x y) (log.f64 2))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (-.f64 (log.f64 2) (.f64 x y)) (/.f64 (-.f64 (log.f64 2) (.f64 x y)) (-.f64 (log.f64 2) (*.f64 x y))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (-.f64 (*.f64 x y) (log.f64 2)) -1)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (.f64 2 (-.f64 (log.f64 2) (.f64 x y))) 2)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) 2) -2)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(neg.f64 (-.f64 (*.f64 x y) (log.f64 2)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite93.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`rational_best-simplify-57`
756×	`rational_best-simplify-80`
660×	`rational_best-simplify-43`
522×	`rational_best-simplify-78`
510×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	90	23
2	276	23
3	1109	23
4	4789	23

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify184.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1268×	`rational_best-simplify-54`
1116×	`rational_best-simplify-78`
844×	`rational_best-simplify-2`
790×	`rational_best-simplify-49`
636×	`rational_best-simplify-57`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	66	987
1	140	965
2	823	965
3	3019	965
4	4947	965

Stop Event

1×	node limit

Counts

41 → 41

Calls

Call 1

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

Outputs
(+.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 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (neg.f64 (.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 y (neg.f64 x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.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 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (neg.f64 (.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 y (neg.f64 x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.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 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (neg.f64 (.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 y (neg.f64 x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 x (neg.f64 y))))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.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 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (neg.f64 (.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 y (neg.f64 x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.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 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (neg.f64 (.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 y (neg.f64 x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.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 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (neg.f64 (.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 y (neg.f64 x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 x (neg.f64 y))))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.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 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (neg.f64 (.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 y (neg.f64 x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.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 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (neg.f64 (.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 y (neg.f64 x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.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 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (neg.f64 (.f64 x y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 y (neg.f64 x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 x (neg.f64 y))))
(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 (-.f64 1/2 y) x) (log.f64 2)) 0)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(-.f64 0 (neg.f64 (+.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 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (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 (-.f64 1/2 y) x) (log.f64 2)) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (/.f64 1 (+.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)) (/.f64 1 (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))))
(+.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 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (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 1 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (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 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (/.f64 1 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (/.f64 1 (+.f64 (.f64 (-.f64 1/2 y) x) (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 1 (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (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 1 (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (.f64 (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (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 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))) (.f64 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (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 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (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 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (/.f64 1 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (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 (/.f64 1 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))) (.f64 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))))) (.f64 (.f64 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))) (.f64 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (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 (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))) (.f64 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (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 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (/.f64 1 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))) (.f64 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (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 (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (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 (-.f64 1/2 y) x) (log.f64 2)) 1)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (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 2 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) 2) -2)
(+.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)))
(neg.f64 (neg.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 15 to 9 computations (40% saved)

eval102.0ms (1.3%)

Compiler: Compiled 6096 to 3758 computations (38.4% saved)

prune46.0ms (0.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	266	4	270
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	268	7	275

Error

0.0b

Counts

275 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.9b	(-.f64 (log.f64 2) (*.f64 x y))
▶	4.9b	(+.f64 (+.f64 (log.f64 2) (.f64 x y)) (.f64 -2 (*.f64 x y)))
▶	29.9b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	43.6b	(*.f64 (-.f64 1/2 y) x)
✓	33.3b	(*.f64 y (neg.f64 x))
✓	29.5b	(log.f64 (+.f64 1 (exp.f64 x)))
▶	29.9b	(log.f64 2)

Compiler

Compiled 54 to 41 computations (24.1% saved)

localize14.0ms (0.2%)

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

localize5.0ms (0.1%)

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

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`rational_best-5`
1762×	`rational_best-4`
1762×	`rational_best-2`
1762×	`rational_best-3`
1762×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	74	17
2	223	17
3	888	17
4	3721	17

Stop Event

1×	node limit

Counts

1 → 18

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

simplify253.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1036×	`rational_best-simplify-2`
992×	`rational_best-simplify-80`
900×	`rational_best-simplify-78`
866×	`rational_best-simplify-94`
536×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	335
1	78	335
2	427	335
3	1979	335
4	4052	335
5	7890	335

Stop Event

1×	node limit

Counts

21 → 22

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite107.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`rational_best-simplify-57`
798×	`rational_best-simplify-44`
632×	`rational_best-simplify-47`
608×	`rational_best-5`
606×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	102	52
2	324	40
3	1344	38
4	5934	38

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

((#(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 (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))))) (#(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 (log.f64 2) (*.f64 x y)) (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 2) (*.f64 x y)) (*.f64 (+.f64 (log.f64 2) (*.f64 x y)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 2) (*.f64 x y)) (/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y)))))))) (#(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 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y))) (+.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))) (*.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y))) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (*.f64 x y)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y)))) (+.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y)))) (*.f64 (+.f64 (log.f64 2) (*.f64 x y)) (*.f64 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y))) (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))) (*.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y)))) (*.f64 (+.f64 (log.f64 2) (*.f64 x y)) (*.f64 (+.f64 (log.f64 2) (*.f64 x y)) (*.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y))) (+.f64 (log.f64 2) (*.f64 x y))) (*.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (log.f64 2) (*.f64 x y)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y)))) (+.f64 (log.f64 2) (*.f64 x y))) (*.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y)))) (+.f64 (log.f64 2) (*.f64 x y))) (*.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y))))))) (#(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 (log.f64 2) (*.f64 x y)) (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (log.f64 2) (*.f64 x y))))))) (#(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 (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))) 2) -2)))) (#(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 (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))))))

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

simplify227.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1518×	`rational_best-simplify-132`
1246×	`rational_best-simplify-54`
958×	`rational_best-simplify-2`
814×	`rational_best-simplify-24`
792×	`rational_best-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	2264
1	229	1904
2	1064	1724
3	3544	1724
4	7283	1724

Stop Event

1×	node limit

Counts

92 → 66

Calls

Call 1

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

eval30.0ms (0.4%)

Compiler: Compiled 1985 to 1235 computations (37.8% saved)

prune19.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	105	8	113

Error

0.0b

Counts

113 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.9b	(-.f64 (log.f64 2) (*.f64 x y))
✓	4.9b	(+.f64 (+.f64 (log.f64 2) (.f64 x y)) (.f64 -2 (*.f64 x y)))
✓	29.9b	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	43.6b	(*.f64 (-.f64 1/2 y) x)
✓	33.3b	(*.f64 y (neg.f64 x))
▶	61.8b	(*.f64 1/2 x)
✓	29.5b	(log.f64 (+.f64 1 (exp.f64 x)))
✓	29.9b	(log.f64 2)

Compiler

Compiled 59 to 45 computations (23.7% saved)

localize3.0ms (0%)

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	7	7
Total	8	8

Error

0.0b

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.9b	(-.f64 (log.f64 2) (*.f64 x y))
✓	4.9b	(+.f64 (+.f64 (log.f64 2) (.f64 x y)) (.f64 -2 (*.f64 x y)))
✓	29.9b	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	43.6b	(*.f64 (-.f64 1/2 y) x)
✓	33.3b	(*.f64 y (neg.f64 x))
✓	61.8b	(*.f64 1/2 x)
✓	29.5b	(log.f64 (+.f64 1 (exp.f64 x)))
✓	29.9b	(log.f64 2)

Compiler

Compiled 59 to 45 computations (23.7% saved)

regimes23.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	y
6.0ms	x
4.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 94 to 59 computations (37.2% saved)

regimes21.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x
6.0ms	y

Results

Error	Segments	Branch
0.5b	2	`x`
4.9b	1	`y`

Compiler

Compiled 59 to 40 computations (32.2% saved)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	-929241703035.1637	-79932668757.60233

Results

11.0ms	25×	body	1024	valid
8.0ms	64×	body	256	valid
2.0ms	7×	body	512	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 124 to 96 computations (22.6% saved)

regimes15.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
5.0ms	y

Results

Error	Segments	Branch
0.6b	2	`x`
4.9b	1	`y`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch28.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	-8293543007364.146	-929241703035.1637

Results

17.0ms	29×	body	1024	valid
7.0ms	56×	body	256	valid
3.0ms	11×	body	512	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 112 to 84 computations (25% saved)

regimes37.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	y
12.0ms	x

Results

Error	Segments	Branch
9.5b	3	`x`
18.9b	5	`y`

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	5.525986226768187e-46	1.6560127712428701e-44
21.0ms	-1.3721268502922083e-29	-3.900292168655959e-39

Results

32.0ms

256×

body

256

valid

Compiler

Compiled 215 to 179 computations (16.7% saved)

regimes9.0ms (0.1%)

Accuracy

Total -28.9b remaining (-86.6%)

Threshold costs -28.9b (-86.6%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Error	Segments	Branch
33.3b	1	`x`
33.3b	1	`y`

Compiler

Compiled 20 to 13 computations (35% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	172

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x -80000000000) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -950000000000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3507603929594167/365375409332725729550921208179070754913983135744) (.f64 y (neg.f64 x)) (if (<=.f64 x 2812141577453233/200867255532373784442745261542645325315275374222849104412672) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x -80000000000) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -950000000000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3507603929594167/365375409332725729550921208179070754913983135744) (.f64 y (neg.f64 x)) (if (<=.f64 x 2812141577453233/200867255532373784442745261542645325315275374222849104412672) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)

Compiler

Compiled 77 to 55 computations (28.6% saved)

soundness0.0ms (0%)

end48.0ms (0.6%)

Compiler: Compiled 67 to 38 computations (43.3% saved)

Details

analyze268.0ms (3.3%)

sample5.3s (65.1%)

preprocess14.0ms (0.2%)

simplify16.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.1%)

series44.0ms (0.5%)

rewrite105.0ms (1.3%)

simplify221.0ms (2.7%)

eval30.0ms (0.4%)

prune16.0ms (0.2%)

localize17.0ms (0.2%)

series3.0ms (0%)

rewrite130.0ms (1.6%)

simplify207.0ms (2.5%)

localize4.0ms (0%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite90.0ms (1.1%)

simplify216.0ms (2.6%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite93.0ms (1.1%)

simplify184.0ms (2.3%)

localize7.0ms (0.1%)

eval102.0ms (1.3%)

prune46.0ms (0.6%)

localize14.0ms (0.2%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite71.0ms (0.9%)

simplify253.0ms (3.1%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite107.0ms (1.3%)

simplify227.0ms (2.8%)

eval30.0ms (0.4%)

prune19.0ms (0.2%)

localize3.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes23.0ms (0.3%)

regimes21.0ms (0.3%)

bsearch23.0ms (0.3%)

regimes15.0ms (0.2%)

bsearch28.0ms (0.3%)

regimes37.0ms (0.4%)

bsearch35.0ms (0.4%)

regimes9.0ms (0.1%)

simplify4.0ms (0%)

soundness0.0ms (0%)

end48.0ms (0.6%)

Profiling