Details

analyze218.0ms (1.7%)

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
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	5
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	6
39.1%	39%	60.9%	0.1%	0%	0%	0%	7
52.3%	52.3%	47.6%	0.1%	0%	0%	0%	8
67.6%	67.5%	32.4%	0.1%	0%	0%	0%	9
74.8%	74.7%	25.2%	0.1%	0%	0%	0%	10
83.3%	83.2%	16.7%	0.1%	0%	0%	0%	11
87.1%	87%	12.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.6s (20.6%)

Results

2.6s	8254×	body	256	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess33.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

4×	`rational.json-simplify-46`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	18	50
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

Outputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 y x) (-.f64 2 (+.f64 y x)))
(/.f64 (-.f64 y x) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-1`
2×	`rational.json-simplify-42`
2×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	12	25
2	14	25

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))

eval1.0ms (0%)

Compiler: Compiled 20 to 11 computations (45% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
1.0ms	x	@	0	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
1.0ms	y	@	-inf	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
1.0ms	y	@	inf	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
1.0ms	x	@	inf	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))

rewrite143.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`rational.json-5`
1814×	`exponential.json-3`
1814×	`rational.json-1`
1814×	`rational.json-2`
1814×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	77	38
2	269	38
3	965	38
4	3584	38

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
(-.f64 (-.f64 2 x) y)

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

Outputs

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

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

simplify208.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1448×	`rational.json-simplify-49`
1356×	`rational.json-simplify-2`
1110×	`rational.json-simplify-50`
870×	`rational.json-simplify-58`
848×	`rational.json-simplify-54`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	175	2833
1	336	2707
2	649	2661
3	2166	2617
4	6433	2603

Stop Event

1×	node limit

Counts

79 → 123

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))
(+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))
(+.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))))
-1
(-.f64 (.f64 2 (/.f64 y x)) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (.f64 2 (/.f64 y x))) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (.f64 2 (/.f64 y x)) (/.f64 (.f64 (-.f64 (.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (.f64 2 (/.f64 1 x))))
-1
(-.f64 (.f64 2 (/.f64 y x)) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (.f64 2 (/.f64 y x))) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (.f64 2 (/.f64 y x)) (/.f64 (.f64 (-.f64 (.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (.f64 2 (/.f64 1 x))))
(/.f64 x (-.f64 2 x))
(+.f64 (/.f64 x (-.f64 2 x)) (.f64 -1 (.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (.f64 -1 (.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (.f64 -1 (.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 x y))) (.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 2 x) (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 x y)) (/.f64 (.f64 (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (.f64 -1 (/.f64 (-.f64 2 x) y)))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 2 x) 2) y)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 x) 2) y)) (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 x) 2) y)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))))
(-.f64 2 y)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(*.f64 -1 x)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(*.f64 -1 x)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 2 x)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(*.f64 -1 y)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(*.f64 -1 y)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(+.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) 0)
(+.f64 0 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)))
(-.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) 0)
(*.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) 1)
(*.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))))
(*.f64 1 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) (*.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) 1))
(.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) (.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) (.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)))) (/.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) (*.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)))))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) 1)
(+.f64 (-.f64 (-.f64 2 x) y) 0)
(+.f64 0 (-.f64 (-.f64 2 x) y))
(+.f64 (-.f64 -1 (-.f64 y 2)) (-.f64 1 x))
(+.f64 (-.f64 -1 (-.f64 x 2)) (-.f64 1 y))
(+.f64 (-.f64 -1 (+.f64 y (-.f64 x 2))) 1)
(+.f64 (-.f64 -1 y) (-.f64 1 (-.f64 x 2)))
(+.f64 (-.f64 -1 x) (-.f64 1 (-.f64 y 2)))
(*.f64 (-.f64 (-.f64 2 x) y) 1)
(*.f64 (-.f64 (-.f64 2 x) y) (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y)))
(*.f64 1 (-.f64 (-.f64 2 x) y))
(*.f64 (+.f64 y (-.f64 x 2)) -1)
(.f64 (.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 (-.f64 2 x) y)))
(.f64 (.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y)) (*.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) 1))
(.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y)))
(.f64 (.f64 (.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y)) (.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y))) (/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (*.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y))))
(/.f64 (-.f64 (-.f64 2 x) y) 1)
(/.f64 (-.f64 (-.f64 2 x) y) (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y)))
(/.f64 (+.f64 y (-.f64 x 2)) -1)
(pow.f64 (-.f64 (-.f64 2 x) y) 1)
(neg.f64 (+.f64 y (-.f64 x 2)))

Outputs
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(neg.f64 (/.f64 y (-.f64 2 y)))
(+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))
(+.f64 (neg.f64 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x))
(+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 2 y))) (+.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))
(+.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (+.f64 (neg.f64 (/.f64 y (-.f64 2 y))) (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))
(+.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))))
(+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (+.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))) (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2))))
(+.f64 (neg.f64 (/.f64 y (-.f64 2 y))) (+.f64 (+.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2))))
(+.f64 (neg.f64 (/.f64 y (-.f64 2 y))) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)) (+.f64 (.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)))))
-1
(-.f64 (.f64 2 (/.f64 y x)) (+.f64 1 (.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2 (-.f64 (/.f64 y x) (/.f64 1 x))) -1)
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (.f64 2 (/.f64 y x))) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 2 (/.f64 y x)) (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2))) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 -1 (-.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 y x)) (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)))))
(-.f64 -1 (-.f64 (.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x))) (/.f64 (.f64 (-.f64 2 y) (-.f64 (*.f64 y 2) 2)) (pow.f64 x 2))))
(-.f64 (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)) (-.f64 (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x))) -1))
(-.f64 (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)) (+.f64 1 (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x)))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (.f64 2 (/.f64 y x)) (/.f64 (.f64 (-.f64 (.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 2 (/.f64 y x)) (+.f64 (/.f64 (.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 (.f64 y 2) 2)) (pow.f64 x 3)) (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)))) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)) (+.f64 (.f64 2 (/.f64 y x)) (/.f64 (.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 (.f64 y 2) 2)) (pow.f64 x 3)))) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 -1 (-.f64 (.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x))) (+.f64 (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)) (/.f64 (.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 (*.f64 y 2) 2)) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)) (/.f64 (.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 (.f64 y 2) 2)) (pow.f64 x 3))) (-.f64 (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x))) -1))
(-.f64 (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)) (-.f64 (+.f64 1 (.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x)))) (/.f64 (.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 (*.f64 y 2) 2)) (pow.f64 x 3))))
-1
(-.f64 (.f64 2 (/.f64 y x)) (+.f64 1 (.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2 (-.f64 (/.f64 y x) (/.f64 1 x))) -1)
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (.f64 2 (/.f64 y x))) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 2 (/.f64 y x)) (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2))) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 -1 (-.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 y x)) (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)))))
(-.f64 -1 (-.f64 (.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x))) (/.f64 (.f64 (-.f64 2 y) (-.f64 (*.f64 y 2) 2)) (pow.f64 x 2))))
(-.f64 (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)) (-.f64 (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x))) -1))
(-.f64 (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)) (+.f64 1 (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x)))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (.f64 2 (/.f64 y x)) (/.f64 (.f64 (-.f64 (.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 2 (/.f64 y x)) (+.f64 (/.f64 (.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 (.f64 y 2) 2)) (pow.f64 x 3)) (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)))) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)) (+.f64 (.f64 2 (/.f64 y x)) (/.f64 (.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 (.f64 y 2) 2)) (pow.f64 x 3)))) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 -1 (-.f64 (.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x))) (+.f64 (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)) (/.f64 (.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 (*.f64 y 2) 2)) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)) (/.f64 (.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 (.f64 y 2) 2)) (pow.f64 x 3))) (-.f64 (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x))) -1))
(-.f64 (/.f64 (.f64 (-.f64 2 y) (-.f64 (.f64 y 2) 2)) (pow.f64 x 2)) (-.f64 (+.f64 1 (.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x)))) (/.f64 (.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 (*.f64 y 2) 2)) (pow.f64 x 3))))
(/.f64 x (-.f64 2 x))
(+.f64 (/.f64 x (-.f64 2 x)) (.f64 -1 (.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))
(+.f64 (/.f64 x (-.f64 2 x)) (.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) (*.f64 -1 y)))
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) (neg.f64 y)))
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (neg.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (.f64 -1 (.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))
(+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) (.f64 -1 y)) (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2)))))
(+.f64 (/.f64 x (-.f64 2 x)) (.f64 -1 (+.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2)) (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2))))))))
(+.f64 (/.f64 x (-.f64 2 x)) (.f64 -1 (+.f64 (.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2)))))
(+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (+.f64 (.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (.f64 -1 (.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))))
(+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (+.f64 (.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) (.f64 -1 y)) (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3)))))) (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2)))))
(+.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (neg.f64 (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (.f64 -1 (+.f64 (.f64 (pow.f64 y 3) (+.f64 (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) (.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)))))))))
(+.f64 (/.f64 x (-.f64 2 x)) (.f64 -1 (+.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2)) (+.f64 (.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (.f64 (pow.f64 y 3) (+.f64 (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))))))
(+.f64 (/.f64 x (-.f64 2 x)) (.f64 -1 (+.f64 (.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) (.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))))))
(+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (+.f64 (.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (+.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2)) (*.f64 (pow.f64 y 3) (+.f64 (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))))))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 x y))) (.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 1 (neg.f64 (/.f64 x y))) (neg.f64 (/.f64 (-.f64 2 x) y)))
(+.f64 1 (*.f64 -1 (-.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))))
(-.f64 (-.f64 1 (/.f64 x y)) (neg.f64 (/.f64 (-.f64 2 x) y)))
(-.f64 (/.f64 (-.f64 2 x) y) (+.f64 -1 (/.f64 x y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 2 x) (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 1 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (.f64 (-.f64 2 x) (.f64 -1 (-.f64 x (-.f64 2 x)))) (pow.f64 y 2)))) (neg.f64 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (.f64 -1 (.f64 (-.f64 x (-.f64 2 x)) (-.f64 2 x))) (pow.f64 y 2))) (+.f64 -1 (neg.f64 (/.f64 (-.f64 2 x) y))))
(-.f64 (+.f64 (-.f64 1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 2 x) (-.f64 (-.f64 2 x) x)) (pow.f64 y 2))) (neg.f64 (/.f64 (-.f64 2 x) y)))
(-.f64 (/.f64 (-.f64 2 x) y) (-.f64 (+.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 2 x) (-.f64 2 (+.f64 x x))) (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 2 x) (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 x y)) (/.f64 (.f64 (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 1 (+.f64 (+.f64 (.f64 -1 (/.f64 x y)) (/.f64 (.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x)))) (pow.f64 y 3))) (/.f64 (.f64 (-.f64 2 x) (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)))) (.f64 -1 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 2 x) (.f64 -1 (-.f64 x (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (.f64 (pow.f64 (-.f64 2 x) 2) (.f64 -1 (-.f64 x (-.f64 2 x)))) (pow.f64 y 3))))) (neg.f64 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 (neg.f64 (/.f64 x y)) (+.f64 (/.f64 (.f64 -1 (.f64 (-.f64 x (-.f64 2 x)) (-.f64 2 x))) (pow.f64 y 2)) (+.f64 1 (/.f64 (.f64 (pow.f64 (-.f64 2 x) 2) (.f64 -1 (-.f64 x (-.f64 2 x)))) (pow.f64 y 3))))) (neg.f64 (/.f64 (-.f64 2 x) y)))
(-.f64 (+.f64 (-.f64 1 (/.f64 x y)) (+.f64 (/.f64 (.f64 (-.f64 2 x) (-.f64 (-.f64 2 x) x)) (pow.f64 y 2)) (/.f64 (.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 (-.f64 2 x) x)) (pow.f64 y 3)))) (neg.f64 (/.f64 (-.f64 2 x) y)))
(-.f64 (/.f64 (-.f64 2 x) y) (-.f64 (-.f64 (+.f64 -1 (/.f64 x y)) (/.f64 (.f64 (-.f64 2 x) (-.f64 2 (+.f64 x x))) (pow.f64 y 2))) (/.f64 (.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 2 (+.f64 x x))) (pow.f64 y 3))))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 2 x) 2) y)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (*.f64 2 x) 2) y)))
(-.f64 1 (/.f64 (-.f64 (*.f64 2 x) 2) y))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 x) 2) y)) (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 x) 2) y)) (.f64 -1 (/.f64 (.f64 (-.f64 2 x) (-.f64 (*.f64 2 x) 2)) (pow.f64 y 2)))))
(+.f64 1 (.f64 -1 (+.f64 (/.f64 (-.f64 (.f64 2 x) 2) y) (/.f64 (.f64 (-.f64 2 x) (-.f64 (.f64 2 x) 2)) (pow.f64 y 2)))))
(+.f64 (neg.f64 (/.f64 (-.f64 (.f64 2 x) 2) y)) (-.f64 1 (/.f64 (.f64 (-.f64 2 x) (-.f64 (*.f64 2 x) 2)) (pow.f64 y 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 x) 2) y)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))))
(+.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 x) 2) y)) (.f64 -1 (/.f64 (.f64 (-.f64 2 x) (-.f64 (.f64 2 x) 2)) (pow.f64 y 2))))) (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 (.f64 2 x) 2)) (pow.f64 y 3))))
(+.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (.f64 2 x) 2) y) (/.f64 (.f64 (-.f64 2 x) (-.f64 (.f64 2 x) 2)) (pow.f64 y 2)))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 (.f64 2 x) 2)) (pow.f64 y 3))) 1))
(+.f64 1 (.f64 -1 (+.f64 (/.f64 (.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 (.f64 2 x) 2)) (pow.f64 y 3)) (+.f64 (/.f64 (-.f64 (.f64 2 x) 2) y) (/.f64 (.f64 (-.f64 2 x) (-.f64 (.f64 2 x) 2)) (pow.f64 y 2))))))
(+.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (.f64 2 x) 2) y) (/.f64 (.f64 (-.f64 2 x) (-.f64 (.f64 2 x) 2)) (pow.f64 y 2)))) (-.f64 1 (/.f64 (.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 (*.f64 2 x) 2)) (pow.f64 y 3))))
(+.f64 1 (neg.f64 (+.f64 (/.f64 (-.f64 (.f64 2 x) 2) y) (+.f64 (/.f64 (.f64 (-.f64 2 x) (-.f64 (.f64 2 x) 2)) (pow.f64 y 2)) (/.f64 (.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 (*.f64 2 x) 2)) (pow.f64 y 3))))))
(-.f64 2 y)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (neg.f64 x)) y)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (neg.f64 x)) y)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (neg.f64 x)) y)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (neg.f64 x)) y)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (neg.f64 x)) y)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (neg.f64 x)) y)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (neg.f64 x)) y)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (neg.f64 x)) y)
(-.f64 (+.f64 2 (*.f64 -1 x)) y)
(-.f64 (+.f64 2 (neg.f64 x)) y)
(-.f64 2 x)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (neg.f64 y)) x)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (neg.f64 y)) x)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (neg.f64 y)) x)
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (neg.f64 y)) x)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (neg.f64 y)) x)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (neg.f64 y)) x)
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (neg.f64 y)) x)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (neg.f64 y)) x)
(-.f64 (+.f64 2 (*.f64 -1 y)) x)
(-.f64 (+.f64 2 (neg.f64 y)) x)
(+.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) 0)
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
(+.f64 0 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
(-.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) 0)
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) 1)
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
(*.f64 1 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) (*.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) 1))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
(.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) (.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
(.f64 (.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) (.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)))) (/.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) (*.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)))))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) 1)
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
(+.f64 (-.f64 (-.f64 2 x) y) 0)
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(+.f64 0 (-.f64 (-.f64 2 x) y))
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(+.f64 (-.f64 -1 (-.f64 y 2)) (-.f64 1 x))
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(+.f64 (-.f64 -1 (-.f64 x 2)) (-.f64 1 y))
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(+.f64 (-.f64 -1 (+.f64 y (-.f64 x 2))) 1)
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(+.f64 (-.f64 -1 y) (-.f64 1 (-.f64 x 2)))
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(+.f64 (-.f64 -1 x) (-.f64 1 (-.f64 y 2)))
(+.f64 (-.f64 -1 x) (-.f64 2 (-.f64 y 1)))
(+.f64 (-.f64 -1 x) (-.f64 2 (+.f64 y -1)))
(+.f64 (-.f64 -1 x) (-.f64 2 (+.f64 -1 y)))
(+.f64 (-.f64 -1 x) (-.f64 3 y))
(*.f64 (-.f64 (-.f64 2 x) y) 1)
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(*.f64 (-.f64 (-.f64 2 x) y) (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y)))
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(*.f64 1 (-.f64 (-.f64 2 x) y))
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(*.f64 (+.f64 y (-.f64 x 2)) -1)
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(.f64 (.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 (-.f64 2 x) y)))
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(.f64 (.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y)) (*.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) 1))
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y)))
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(.f64 (.f64 (.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y)) (.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y))) (/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (*.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y))))
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(/.f64 (-.f64 (-.f64 2 x) y) 1)
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(/.f64 (-.f64 (-.f64 2 x) y) (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 (-.f64 2 x) y)))
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(/.f64 (+.f64 y (-.f64 x 2)) -1)
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(pow.f64 (-.f64 (-.f64 2 x) y) 1)
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))
(neg.f64 (+.f64 y (-.f64 x 2)))
(-.f64 2 (+.f64 x y))
(-.f64 2 (+.f64 y x))

eval75.0ms (0.6%)

Compiler: Compiled 3315 to 2348 computations (29.2% saved)

prune29.0ms (0.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	113	10	123
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	11	124

Error

0.0b

Counts

124 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
▶	21.8b	(/.f64 (-.f64 x y) (-.f64 2 y))
	37.9b	(/.f64 (-.f64 x y) (neg.f64 y))
▶	41.1b	(/.f64 (-.f64 x y) (neg.f64 x))
▶	32.8b	(/.f64 x (-.f64 2 x))
▶	37.7b	(-.f64 1 (/.f64 (-.f64 (*.f64 2 x) 2) y))
	41.1b	(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x))))
▶	27.1b	(+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (+.f64 (.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2)))))
	30.1b	(neg.f64 (/.f64 y (-.f64 2 y)))
	37.9b	1
	41.3b	-1

Compiler

Compiled 237 to 177 computations (25.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`rational.json-5`
1488×	`exponential.json-3`
1488×	`rational.json-1`
1488×	`rational.json-2`
1488×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	65	19
2	215	19
3	769	19
4	2905	19

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 2 y))

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

Outputs

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

simplify154.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1518×	`rational.json-simplify-111`
1044×	`rational.json-simplify-47`
880×	`rational.json-simplify-2`
738×	`rational.json-simplify-1`
702×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1313
1	194	1269
2	367	1257
3	1232	1189
4	5069	1189

Stop Event

1×	node limit

Counts

41 → 67

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(/.f64 x (-.f64 2 y))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(/.f64 x (-.f64 2 y))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(*.f64 1/2 x)
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1/4 x)))) (.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1/4 x)))) (+.f64 (.f64 1/2 x) (.f64 -1/2 (.f64 (pow.f64 y 2) (+.f64 1/2 (*.f64 -1/4 x))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 3) (+.f64 1/2 (.f64 -1/4 x)))) (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1/4 x)))) (+.f64 (.f64 1/2 x) (.f64 -1/2 (.f64 (pow.f64 y 2) (+.f64 1/2 (.f64 -1/4 x)))))))
1
(+.f64 (.f64 2 (/.f64 1 y)) (+.f64 1 (.f64 -1 (/.f64 x y))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 (+.f64 2 (.f64 -1 x)) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 1 y)) (.f64 -1 (/.f64 x y)))))
(+.f64 (.f64 4 (/.f64 (+.f64 2 (.f64 -1 x)) (pow.f64 y 3))) (+.f64 1 (+.f64 (.f64 2 (/.f64 (+.f64 2 (.f64 -1 x)) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 1 y)) (.f64 -1 (/.f64 x y))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 2) y)))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 (-.f64 x 2) y))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -4 (/.f64 (-.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 x 2) y)))))
(+.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) 0)
(+.f64 0 (/.f64 (-.f64 x y) (-.f64 2 y)))
(-.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) 0)
(-.f64 0 (neg.f64 (/.f64 (-.f64 x y) (-.f64 2 y))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 x y) (-.f64 2 y)))) 1)
(*.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) 1)
(*.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))))
(*.f64 1 (/.f64 (-.f64 x y) (-.f64 2 y)))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))) (/.f64 (-.f64 x y) (-.f64 2 y)))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 2 y))))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))) (/.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))) (/.f64 (-.f64 x y) (-.f64 2 y))))
(.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 2 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))))) (/.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 2 y))) (*.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 2 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y)))) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))))) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 2 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y)))) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y)))))))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 x y) (-.f64 2 y))))

Outputs
(*.f64 -1 (/.f64 y (-.f64 2 y)))
(neg.f64 (/.f64 y (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(/.f64 x (-.f64 2 y))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(/.f64 x (-.f64 2 y))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 2 y))) (/.f64 x (-.f64 2 y)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1/4 x)))) (.f64 1/2 x))
(+.f64 (.f64 x 1/2) (.f64 -1 (.f64 y (+.f64 1/2 (.f64 x -1/4)))))
(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 (+.f64 1/2 (*.f64 x -1/4)))))
(+.f64 (.f64 x 1/2) (.f64 (+.f64 1/2 (*.f64 x -1/4)) (neg.f64 y)))
(+.f64 (.f64 x 1/2) (.f64 y (-.f64 -1/2 (*.f64 x -1/4))))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1/4 x)))) (+.f64 (.f64 1/2 x) (.f64 -1/2 (.f64 (pow.f64 y 2) (+.f64 1/2 (*.f64 -1/4 x))))))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 x -1/4)))) (+.f64 (.f64 x 1/2) (.f64 -1/2 (.f64 (+.f64 1/2 (*.f64 x -1/4)) (pow.f64 y 2)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (neg.f64 (+.f64 1/2 (.f64 x -1/4)))) (.f64 (+.f64 1/2 (.f64 x -1/4)) (.f64 (pow.f64 y 2) -1/2))))
(+.f64 (.f64 (+.f64 1/2 (.f64 x -1/4)) (neg.f64 y)) (+.f64 (.f64 x 1/2) (.f64 (+.f64 1/2 (.f64 x -1/4)) (.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (.f64 x 1/2) (.f64 (+.f64 1/2 (.f64 x -1/4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 3) (+.f64 1/2 (.f64 -1/4 x)))) (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1/4 x)))) (+.f64 (.f64 1/2 x) (.f64 -1/2 (.f64 (pow.f64 y 2) (+.f64 1/2 (.f64 -1/4 x)))))))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 x -1/4)))) (+.f64 (+.f64 (.f64 x 1/2) (.f64 -1/2 (.f64 (+.f64 1/2 (.f64 x -1/4)) (pow.f64 y 2)))) (.f64 -1/4 (.f64 (+.f64 1/2 (.f64 x -1/4)) (pow.f64 y 3)))))
(+.f64 (.f64 x 1/2) (+.f64 (+.f64 (.f64 y (neg.f64 (+.f64 1/2 (.f64 x -1/4)))) (.f64 (+.f64 1/2 (.f64 x -1/4)) (.f64 (pow.f64 y 2) -1/2))) (.f64 (+.f64 1/2 (.f64 x -1/4)) (*.f64 (pow.f64 y 3) -1/4))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 -1/4 (.f64 (+.f64 1/2 (.f64 x -1/4)) (pow.f64 y 3))) (+.f64 (.f64 (+.f64 1/2 (.f64 x -1/4)) (neg.f64 y)) (.f64 (+.f64 1/2 (.f64 x -1/4)) (*.f64 -1/2 (pow.f64 y 2))))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 -1/2 (.f64 x -1/4))) (.f64 (+.f64 1/2 (.f64 x -1/4)) (+.f64 (.f64 -1/4 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))))
1
(+.f64 (.f64 2 (/.f64 1 y)) (+.f64 1 (.f64 -1 (/.f64 x y))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 y)) (.f64 -1 (/.f64 x y))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 y)) (neg.f64 (/.f64 x y))))
(+.f64 (*.f64 2 (/.f64 1 y)) (-.f64 1 (/.f64 x y)))
(+.f64 1 (+.f64 (.f64 2 (/.f64 (+.f64 2 (.f64 -1 x)) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 1 y)) (.f64 -1 (/.f64 x y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 x y)) (+.f64 (.f64 2 (/.f64 (+.f64 2 (neg.f64 x)) (pow.f64 y 2))) (.f64 2 (/.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 x y)) (*.f64 2 (+.f64 (/.f64 (+.f64 2 (neg.f64 x)) (pow.f64 y 2)) (/.f64 1 y)))))
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 2 (+.f64 (/.f64 1 y) (/.f64 (+.f64 2 (neg.f64 x)) (pow.f64 y 2)))))
(+.f64 (.f64 4 (/.f64 (+.f64 2 (.f64 -1 x)) (pow.f64 y 3))) (+.f64 1 (+.f64 (.f64 2 (/.f64 (+.f64 2 (.f64 -1 x)) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 1 y)) (.f64 -1 (/.f64 x y))))))
(+.f64 1 (+.f64 (+.f64 (.f64 2 (/.f64 (+.f64 2 (.f64 -1 x)) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 1 y)) (.f64 -1 (/.f64 x y)))) (.f64 4 (/.f64 (+.f64 2 (.f64 -1 x)) (pow.f64 y 3)))))
(+.f64 (.f64 2 (/.f64 (+.f64 2 (neg.f64 x)) (pow.f64 y 2))) (+.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 y)) (neg.f64 (/.f64 x y)))) (*.f64 4 (/.f64 (+.f64 2 (neg.f64 x)) (pow.f64 y 3)))))
(+.f64 (+.f64 (neg.f64 (/.f64 x y)) (.f64 2 (+.f64 (/.f64 (+.f64 2 (neg.f64 x)) (pow.f64 y 2)) (/.f64 1 y)))) (+.f64 1 (.f64 4 (/.f64 (+.f64 2 (neg.f64 x)) (pow.f64 y 3)))))
(+.f64 (-.f64 1 (/.f64 x y)) (+.f64 (.f64 4 (/.f64 (+.f64 2 (neg.f64 x)) (pow.f64 y 3))) (.f64 2 (+.f64 (/.f64 1 y) (/.f64 (+.f64 2 (neg.f64 x)) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 2) y)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 x 2) y)))
(-.f64 1 (/.f64 (-.f64 x 2) y))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2))) (.f64 -1 (/.f64 (-.f64 x 2) y))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 x 2) y)) (.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 (-.f64 x 2) y)) (*.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2)))))
(+.f64 (-.f64 1 (/.f64 (-.f64 x 2) y)) (*.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -4 (/.f64 (-.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 x 2) y)))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 x 2) y)) (*.f64 -4 (/.f64 (-.f64 x 2) (pow.f64 y 3))))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 (-.f64 x 2) y)) (+.f64 (.f64 -4 (/.f64 (-.f64 x 2) (pow.f64 y 3))) (.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2))))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2))) (+.f64 (neg.f64 (/.f64 (-.f64 x 2) y)) (.f64 -4 (/.f64 (-.f64 x 2) (pow.f64 y 3))))))
(+.f64 (-.f64 1 (/.f64 (-.f64 x 2) y)) (+.f64 (.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2))) (.f64 -4 (/.f64 (-.f64 x 2) (pow.f64 y 3)))))
(+.f64 (.f64 -2 (/.f64 (-.f64 x 2) (pow.f64 y 2))) (+.f64 (-.f64 1 (/.f64 (-.f64 x 2) y)) (.f64 -4 (/.f64 (-.f64 x 2) (pow.f64 y 3)))))
(+.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) 0)
(/.f64 (-.f64 x y) (-.f64 2 y))
(+.f64 0 (/.f64 (-.f64 x y) (-.f64 2 y)))
(/.f64 (-.f64 x y) (-.f64 2 y))
(-.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) 0)
(/.f64 (-.f64 x y) (-.f64 2 y))
(-.f64 0 (neg.f64 (/.f64 (-.f64 x y) (-.f64 2 y))))
(/.f64 (-.f64 x y) (-.f64 2 y))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 x y) (-.f64 2 y)))) 1)
(/.f64 (-.f64 x y) (-.f64 2 y))
(*.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) 1)
(/.f64 (-.f64 x y) (-.f64 2 y))
(*.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))))
(/.f64 (-.f64 x y) (-.f64 2 y))
(*.f64 1 (/.f64 (-.f64 x y) (-.f64 2 y)))
(/.f64 (-.f64 x y) (-.f64 2 y))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))) (/.f64 (-.f64 x y) (-.f64 2 y)))
(/.f64 (-.f64 x y) (-.f64 2 y))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 2 y))))
(/.f64 (-.f64 x y) (-.f64 2 y))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))) (/.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))) (/.f64 (-.f64 x y) (-.f64 2 y))))
(/.f64 (-.f64 x y) (-.f64 2 y))
(.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 2 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))))
(/.f64 (-.f64 x y) (-.f64 2 y))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))))) (/.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 2 y))) (*.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y)))))
(/.f64 (-.f64 x y) (-.f64 2 y))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 2 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y)))) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))))))
(/.f64 (-.f64 x y) (-.f64 2 y))
(.f64 (.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y))))) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 2 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y)))) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) (/.f64 (-.f64 x y) (-.f64 2 y)))))))
(/.f64 (-.f64 x y) (-.f64 2 y))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 y)) 1)
(/.f64 (-.f64 x y) (-.f64 2 y))
(neg.f64 (neg.f64 (/.f64 (-.f64 x y) (-.f64 2 y))))
(/.f64 (-.f64 x y) (-.f64 2 y))

localize6.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (neg.f64 x))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`rational.json-1`
1614×	`rational.json-2`
1614×	`rational.json-3`
1612×	`rational.json-5`
1610×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	70	17
2	244	17
3	847	17
4	3244	17

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (neg.f64 x))

Outputs

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

simplify233.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1430×	`rational.json-simplify-79`
1368×	`rational.json-simplify-47`
1134×	`rational.json-simplify-2`
824×	`rational.json-simplify-41`
666×	`rational.json-simplify-73`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	36	900
1	64	884
2	130	884
3	341	884
4	1103	884
5	1948	884
6	3312	796
7	5438	784
8	6671	784

Stop Event

1×	node limit

Counts

38 → 28

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`rational.json-5`
1498×	`exponential.json-3`
1498×	`rational.json-1`
1498×	`rational.json-2`
1498×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	66	19
2	218	19
3	795	19
4	2947	19

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify218.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1120×	`rational.json-simplify-111`
990×	`rational.json-simplify-47`
930×	`rational.json-simplify-58`
924×	`rational.json-simplify-1`
850×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	635
1	88	581
2	176	581
3	808	581
4	3536	581
5	5883	581

Stop Event

1×	node limit

Counts

29 → 22

Calls

Call 1

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

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

localize275.0ms (2.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (pow.f64 (-.f64 2 x) 2))
✓	5.4b	(/.f64 x (pow.f64 (-.f64 2 x) 3))
✓	6.9b	(*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))
✓	12.9b	(/.f64 x (pow.f64 (-.f64 2 x) 2))

Compiler

Compiled 255 to 197 computations (22.7% saved)

series10.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))
1.0ms	x	@	0	(*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))
1.0ms	x	@	inf	(*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))
1.0ms	y	@	inf	(*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))
1.0ms	x	@	-inf	(*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))

rewrite348.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`rational.json-simplify-47`
766×	`rational.json-simplify-50`
720×	`rational.json-5`
718×	`exponential.json-3`
718×	`rational.json-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	116
1	149	116
2	438	116
3	1548	116
4	6164	112

Stop Event

1×	node limit

Counts

4 → 78

Calls

Call 1

Inputs
(/.f64 x (pow.f64 (-.f64 2 x) 2))
(*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))
(/.f64 x (pow.f64 (-.f64 2 x) 3))
(/.f64 1 (pow.f64 (-.f64 2 x) 2))

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

simplify232.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1714×	`rational.json-simplify-47`
956×	`rational.json-simplify-2`
902×	`rational.json-simplify-1`
856×	`rational.json-simplify-54`
594×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	251	4970
1	523	4910
2	1160	4832
3	3424	4820
4	7760	4820

Stop Event

1×	node limit

Counts

138 → 175

Calls

Call 1

Inputs
(*.f64 1/4 x)
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/4 x))
(+.f64 (.f64 3/16 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/4 x)))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 3/16 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/4 x))))
(/.f64 1 x)
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (.f64 32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (.f64 32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(*.f64 1/4 (pow.f64 y 2))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 1/8 (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 1/8 (*.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 1/4 (pow.f64 y 2)) (+.f64 (.f64 -5/64 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (.f64 1/8 (*.f64 (pow.f64 y 2) x)))))
(*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 10 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (.f64 36 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 10 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(+.f64 (.f64 36 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 10 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 112 (/.f64 (pow.f64 y 2) (pow.f64 x 5))))))
(*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 10 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (.f64 36 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 10 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(+.f64 (.f64 36 (/.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 10 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 112 (/.f64 (pow.f64 y 2) (pow.f64 x 5))))))
(*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(*.f64 1/8 x)
(+.f64 (.f64 1/8 x) (.f64 3/16 (pow.f64 x 2)))
(+.f64 (.f64 3/16 (pow.f64 x 3)) (+.f64 (.f64 1/8 x) (*.f64 3/16 (pow.f64 x 2))))
(+.f64 (.f64 3/16 (pow.f64 x 3)) (+.f64 (.f64 1/8 x) (+.f64 (.f64 3/16 (pow.f64 x 2)) (.f64 5/32 (pow.f64 x 4)))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 24 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 6 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 80 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 24 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 24 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 6 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 80 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 24 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 3)))))))
1/4
(+.f64 1/4 (*.f64 1/4 x))
(+.f64 1/4 (+.f64 (.f64 3/16 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 1/4 (+.f64 (.f64 3/16 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 32 (/.f64 1 (pow.f64 x 5))))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 32 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) 0)
(+.f64 0 (/.f64 x (pow.f64 (-.f64 2 x) 2)))
(-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) 0)
(-.f64 0 (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) 1)
(*.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) 1)
(*.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))
(*.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2))) (/.f64 x (pow.f64 (-.f64 2 x) 2)))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2))) (/.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 2))))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2))) (*.f64 (/.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 2))) 1))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2))) (/.f64 (/.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2))) (/.f64 x (pow.f64 (-.f64 2 x) 2))))
(.f64 (/.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 2))) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (/.f64 (/.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 2))) (*.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2)))))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (/.f64 (.f64 (/.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 2))) 1) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2)))))
(.f64 (.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 2))) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2)))) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 2)))))))
(pow.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) 1)
(neg.f64 (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 2)) 0)
(+.f64 0 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 2)))
(-.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 2)) 0)
(-.f64 0 (neg.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 2))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 2)))) 1)
(/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 2)) 1)
(/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 2)) (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 2))))
(pow.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 2)) 1)
(neg.f64 (neg.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 2))))
(+.f64 1 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) 1))
(+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) 0)
(+.f64 0 (/.f64 x (pow.f64 (-.f64 2 x) 3)))
(+.f64 -1 (+.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(+.f64 (+.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 3))) -1)
(+.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) 1) 1)
(-.f64 1 (-.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) 0)
(-.f64 0 (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(-.f64 -1 (-.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(-.f64 (+.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 3))) 1)
(-.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) -2) 2)
(-.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) 1) -1)
(*.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))
(*.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) 1)
(*.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(*.f64 (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3))) -1)
(*.f64 (/.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (/.f64 x (pow.f64 (-.f64 2 x) 3)))
(*.f64 -1 (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (/.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (neg.f64 (/.f64 1 (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3))))))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (neg.f64 (/.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (*.f64 (/.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 3))) 1))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (/.f64 (/.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (/.f64 -1 (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))))
(.f64 (/.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 3))) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))) (/.f64 (/.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 3))) (*.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))) (/.f64 (neg.f64 (/.f64 1 (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3))))) (*.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))) (/.f64 (neg.f64 (/.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (*.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))))
(.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))) (/.f64 (.f64 (/.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 3))) 1) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))))
(.f64 (.f64 (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 x (pow.f64 (-.f64 2 x) 3))) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))))))
(pow.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) 1)
(neg.f64 (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3))))
(+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) 0)
(+.f64 0 (/.f64 1 (pow.f64 (-.f64 2 x) 2)))
(-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (pow.f64 (-.f64 2 x) 2)))) 1)
(*.f64 1 (/.f64 1 (pow.f64 (-.f64 2 x) 2)))
(*.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) 1)
(*.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (/.f64 1 (pow.f64 (-.f64 2 x) 2)))
(.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (/.f64 1 (/.f64 1 (pow.f64 (-.f64 2 x) 2))))
(.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (*.f64 (/.f64 1 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) 1))
(.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (/.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (/.f64 1 (pow.f64 (-.f64 2 x) 2))))
(.f64 (/.f64 1 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))))
(.f64 (.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2)))) (/.f64 (/.f64 1 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (*.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2)))))
(.f64 (.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2)))) (/.f64 (.f64 (/.f64 1 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) 1) (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2)))))
(.f64 (.f64 (.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2)))) (.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))))) (/.f64 (/.f64 (/.f64 1 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2)))) (.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))))))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) 1)
(neg.f64 (neg.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2))))

Outputs
(*.f64 1/4 x)
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/4 x))
(+.f64 (.f64 1/4 x) (.f64 1/4 (pow.f64 x 2)))
(*.f64 1/4 (+.f64 (pow.f64 x 2) x))
(*.f64 1/4 (+.f64 x (pow.f64 x 2)))
(+.f64 (.f64 3/16 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/4 x)))
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1/4
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(.f64 (.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2)))) (/.f64 (.f64 (/.f64 1 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) 1) (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2)))))
(/.f64 1 (pow.f64 (-.f64 2 x) 2))
(.f64 (.f64 (.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2)))) (.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))))) (/.f64 (/.f64 (/.f64 1 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2)))) (.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))))))
(/.f64 1 (pow.f64 (-.f64 2 x) 2))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) 1)
(/.f64 1 (pow.f64 (-.f64 2 x) 2))
(neg.f64 (neg.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2))))
(/.f64 1 (pow.f64 (-.f64 2 x) 2))

eval269.0ms (2.1%)

Compiler: Compiled 12499 to 9203 computations (26.4% saved)

prune71.0ms (0.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	287	5	292
Fresh	0	5	5
Picked	1	0	1
Done	2	3	5
Total	290	13	303

Error

0.0b

Counts

303 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
✓	21.8b	(/.f64 (-.f64 x y) (-.f64 2 y))
	37.9b	(/.f64 (-.f64 x y) (neg.f64 y))
✓	32.8b	(/.f64 x (-.f64 2 x))
▶	41.1b	(-.f64 (/.f64 y x) 1)
	37.9b	(-.f64 1 (/.f64 -2 y))
▶	37.6b	(-.f64 1 (*.f64 2 (/.f64 x y)))
	41.1b	(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x))))
▶	47.6b	(+.f64 (.f64 x 1/2) (.f64 (+.f64 1/2 (.f64 x -1/4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y))))
▶	53.9b	(*.f64 x 1/2)
▶	30.1b	(neg.f64 (/.f64 y (-.f64 2 y)))
	37.9b	1
	41.3b	-1

Compiler

Compiled 187 to 142 computations (24.1% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 2 y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(/.f64 y (-.f64 2 y))
2.0ms	y	@	0	(/.f64 y (-.f64 2 y))
0.0ms	y	@	inf	(/.f64 y (-.f64 2 y))

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1096×	`rational.json-5`
1094×	`exponential.json-3`
1094×	`rational.json-1`
1094×	`rational.json-2`
1094×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	49	13
2	162	13
3	569	13
4	2136	13

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(/.f64 y (-.f64 2 y))

Outputs

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

simplify266.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

990×	`rational.json-simplify-47`
926×	`rational.json-simplify-58`
850×	`exponential.json-simplify-26`
678×	`rational.json-simplify-2`
600×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	641
1	150	617
2	289	617
3	995	617
4	3828	617
5	6347	617

Stop Event

1×	node limit

Counts

29 → 41

Calls

Call 1

Inputs
(*.f64 1/2 y)
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 1/2 y))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (+.f64 (.f64 1/2 y) (*.f64 1/8 (pow.f64 y 3))))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (+.f64 (.f64 1/16 (pow.f64 y 4)) (+.f64 (.f64 1/2 y) (.f64 1/8 (pow.f64 y 3)))))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1))
(neg.f64 (+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (.f64 2 (/.f64 1 y)))))
(neg.f64 (+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1))
(neg.f64 (+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (.f64 2 (/.f64 1 y)))))
(neg.f64 (+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))))
(+.f64 (/.f64 y (-.f64 2 y)) 0)
(+.f64 0 (/.f64 y (-.f64 2 y)))
(-.f64 (/.f64 y (-.f64 2 y)) 0)
(-.f64 0 (neg.f64 (/.f64 y (-.f64 2 y))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 y (-.f64 2 y)))) 1)
(*.f64 (/.f64 y (-.f64 2 y)) 1)
(*.f64 (/.f64 y (-.f64 2 y)) (/.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))))
(*.f64 1 (/.f64 y (-.f64 2 y)))
(*.f64 (/.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (/.f64 y (-.f64 2 y)))
(.f64 (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (/.f64 1 (/.f64 y (-.f64 2 y))))
(.f64 (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (/.f64 (/.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (/.f64 y (-.f64 2 y))))
(.f64 (/.f64 1 (/.f64 y (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))))
(.f64 (.f64 (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y)))) (/.f64 (/.f64 1 (/.f64 y (-.f64 2 y))) (*.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y)))))
(.f64 (/.f64 (/.f64 1 (/.f64 y (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y)))) (.f64 (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (*.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y)))))
(.f64 (.f64 (.f64 (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y)))) (.f64 (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))))) (/.f64 (/.f64 (/.f64 1 (/.f64 y (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y)))) (.f64 (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))))))
(pow.f64 (/.f64 y (-.f64 2 y)) 1)
(neg.f64 (neg.f64 (/.f64 y (-.f64 2 y))))

Outputs
(*.f64 1/2 y)
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 1/2 y))
(+.f64 (.f64 1/2 y) (.f64 1/4 (pow.f64 y 2)))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (+.f64 (.f64 1/2 y) (*.f64 1/8 (pow.f64 y 3))))
(+.f64 (.f64 1/2 y) (+.f64 (.f64 1/4 (pow.f64 y 2)) (*.f64 1/8 (pow.f64 y 3))))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (+.f64 (.f64 1/16 (pow.f64 y 4)) (+.f64 (.f64 1/2 y) (.f64 1/8 (pow.f64 y 3)))))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (+.f64 (.f64 1/2 y) (+.f64 (.f64 1/8 (pow.f64 y 3)) (.f64 1/16 (pow.f64 y 4)))))
(+.f64 (.f64 1/2 y) (+.f64 (+.f64 (.f64 1/8 (pow.f64 y 3)) (.f64 1/16 (pow.f64 y 4))) (.f64 1/4 (pow.f64 y 2))))
(+.f64 (.f64 1/8 (pow.f64 y 3)) (+.f64 (+.f64 (.f64 1/2 y) (.f64 1/4 (pow.f64 y 2))) (.f64 1/16 (pow.f64 y 4))))
(+.f64 (+.f64 (.f64 1/2 y) (.f64 1/4 (pow.f64 y 2))) (+.f64 (.f64 1/8 (pow.f64 y 3)) (.f64 1/16 (pow.f64 y 4))))
(+.f64 (.f64 1/2 y) (+.f64 (.f64 1/4 (pow.f64 y 2)) (+.f64 (.f64 1/8 (pow.f64 y 3)) (.f64 1/16 (pow.f64 y 4)))))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1))
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 y))))
(-.f64 -1 (*.f64 2 (/.f64 1 y)))
(neg.f64 (+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (.f64 2 (/.f64 1 y)))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 y)) (.f64 4 (/.f64 1 (pow.f64 y 2))))))
(-.f64 -1 (+.f64 (.f64 2 (/.f64 1 y)) (.f64 4 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 8 (/.f64 1 (pow.f64 y 3)))))))
(-.f64 -1 (+.f64 (.f64 2 (/.f64 1 y)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 4 (/.f64 1 (pow.f64 y 2))))))
(-.f64 (-.f64 -1 (+.f64 (.f64 2 (/.f64 1 y)) (.f64 4 (/.f64 1 (pow.f64 y 2))))) (*.f64 8 (/.f64 1 (pow.f64 y 3))))
(-.f64 (-.f64 (-.f64 -1 (.f64 4 (/.f64 1 (pow.f64 y 2)))) (.f64 8 (/.f64 1 (pow.f64 y 3)))) (*.f64 2 (/.f64 1 y)))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 y)) 1))
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 y))))
(-.f64 -1 (*.f64 2 (/.f64 1 y)))
(neg.f64 (+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (.f64 2 (/.f64 1 y)))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 y)) (.f64 4 (/.f64 1 (pow.f64 y 2))))))
(-.f64 -1 (+.f64 (.f64 2 (/.f64 1 y)) (.f64 4 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 8 (/.f64 1 (pow.f64 y 3)))))))
(-.f64 -1 (+.f64 (.f64 2 (/.f64 1 y)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 4 (/.f64 1 (pow.f64 y 2))))))
(-.f64 (-.f64 -1 (+.f64 (.f64 2 (/.f64 1 y)) (.f64 4 (/.f64 1 (pow.f64 y 2))))) (*.f64 8 (/.f64 1 (pow.f64 y 3))))
(-.f64 (-.f64 (-.f64 -1 (.f64 4 (/.f64 1 (pow.f64 y 2)))) (.f64 8 (/.f64 1 (pow.f64 y 3)))) (*.f64 2 (/.f64 1 y)))
(+.f64 (/.f64 y (-.f64 2 y)) 0)
(/.f64 y (-.f64 2 y))
(+.f64 0 (/.f64 y (-.f64 2 y)))
(/.f64 y (-.f64 2 y))
(-.f64 (/.f64 y (-.f64 2 y)) 0)
(/.f64 y (-.f64 2 y))
(-.f64 0 (neg.f64 (/.f64 y (-.f64 2 y))))
(/.f64 y (-.f64 2 y))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 y (-.f64 2 y)))) 1)
(/.f64 y (-.f64 2 y))
(*.f64 (/.f64 y (-.f64 2 y)) 1)
(/.f64 y (-.f64 2 y))
(*.f64 (/.f64 y (-.f64 2 y)) (/.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))))
(/.f64 y (-.f64 2 y))
(*.f64 1 (/.f64 y (-.f64 2 y)))
(/.f64 y (-.f64 2 y))
(*.f64 (/.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (/.f64 y (-.f64 2 y)))
(/.f64 y (-.f64 2 y))
(.f64 (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (/.f64 1 (/.f64 y (-.f64 2 y))))
(/.f64 y (-.f64 2 y))
(.f64 (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (/.f64 (/.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (/.f64 y (-.f64 2 y))))
(/.f64 y (-.f64 2 y))
(.f64 (/.f64 1 (/.f64 y (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))))
(/.f64 y (-.f64 2 y))
(.f64 (.f64 (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y)))) (/.f64 (/.f64 1 (/.f64 y (-.f64 2 y))) (*.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y)))))
(/.f64 y (-.f64 2 y))
(.f64 (/.f64 (/.f64 1 (/.f64 y (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y)))) (.f64 (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (*.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y)))))
(/.f64 y (-.f64 2 y))
(.f64 (.f64 (.f64 (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y)))) (.f64 (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))))) (/.f64 (/.f64 (/.f64 1 (/.f64 y (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y)))) (.f64 (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (/.f64 y (-.f64 2 y))))))
(/.f64 y (-.f64 2 y))
(pow.f64 (/.f64 y (-.f64 2 y)) 1)
(/.f64 y (-.f64 2 y))
(neg.f64 (neg.f64 (/.f64 y (-.f64 2 y))))
(/.f64 y (-.f64 2 y))

localize4.0ms (0%)

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

localize5.0ms (0%)

Compiler: Compiled 13 to 6 computations (53.8% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`rational.json-5`
1298×	`exponential.json-3`
1298×	`rational.json-1`
1298×	`rational.json-2`
1298×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	13
2	190	13
3	690	13
4	2556	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 2 (/.f64 x y))

Outputs

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

simplify281.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1218×	`rational.json-simplify-104`
1126×	`rational.json-simplify-42`
1056×	`rational.json-simplify-79`
970×	`rational.json-simplify-73`
920×	`rational.json-simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	183
1	51	183
2	92	183
3	206	183
4	531	183
5	1606	183
6	2737	183
7	4162	183
8	4959	183
9	6379	183
10	6954	183

Stop Event

1×	node limit

Counts

11 → 15

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 1/2 (.f64 x -1/4)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))

Compiler

Compiled 69 to 49 computations (29% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (+.f64 1/2 (.f64 x -1/4)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
1.0ms	y	@	inf	(.f64 (+.f64 1/2 (.f64 x -1/4)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
1.0ms	y	@	0	(.f64 (+.f64 1/2 (.f64 x -1/4)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
0.0ms	x	@	inf	(.f64 (+.f64 1/2 (.f64 x -1/4)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
0.0ms	y	@	-inf	(.f64 (+.f64 1/2 (.f64 x -1/4)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))

rewrite132.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`rational.json-simplify-47`
764×	`rational.json-simplify-49`
738×	`rational.json-simplify-58`
656×	`rational.json-simplify-50`
608×	`rational.json-5`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	135	41
2	386	41
3	1340	41
4	5355	37

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify204.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1114×	`rational.json-simplify-1`
950×	`rational.json-simplify-111`
810×	`rational.json-simplify-2`
712×	`rational.json-simplify-41`
620×	`rational.json-simplify-79`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	1821
1	85	1369
2	168	1369
3	430	1203
4	1612	1203
5	4667	1203
6	6934	1203

Stop Event

1×	node limit

Counts

33 → 26

Calls

Call 1

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

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

eval31.0ms (0.2%)

Compiler: Compiled 1427 to 1069 computations (25.1% saved)

prune23.0ms (0.2%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	5	5
Picked	1	0	1
Done	0	7	7
Total	81	14	95

Error

0.0b

Counts

95 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
✓	21.8b	(/.f64 (-.f64 x y) (-.f64 2 y))
▶	37.9b	(/.f64 (-.f64 x y) (neg.f64 y))
✓	32.8b	(/.f64 x (-.f64 2 x))
✓	41.1b	(-.f64 (/.f64 y x) 1)
▶	37.9b	(-.f64 1 (/.f64 -2 y))
✓	37.6b	(-.f64 1 (*.f64 2 (/.f64 x y)))
▶	41.1b	(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x))))
✓	53.9b	(*.f64 x 1/2)
✓	30.1b	(neg.f64 (/.f64 y (-.f64 2 y)))
▶	55.5b	(neg.f64 (+.f64 (.f64 1/2 y) (.f64 1/4 (pow.f64 y 2))))
▶	55.1b	(neg.f64 (*.f64 1/2 y))
	37.9b	1
	41.3b	-1

Compiler

Compiled 154 to 118 computations (23.4% saved)

localize7.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

localize5.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (neg.f64 y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite235.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`rational.json-1`
1614×	`rational.json-2`
1614×	`rational.json-3`
1612×	`rational.json-5`
1610×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	70	17
2	244	17
3	847	17
4	3244	17

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (neg.f64 y))

Outputs

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

simplify301.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1032×	`rational.json-simplify-2`
984×	`rational.json-simplify-50`
796×	`rational.json-simplify-54`
712×	`rational.json-simplify-104`
532×	`rational.json-simplify-39`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	622
1	59	580
2	118	580
3	418	508
4	1801	508
5	4486	508
6	7175	508

Stop Event

1×	node limit

Counts

38 → 21

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite219.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`rational.json-5`
1538×	`exponential.json-3`
1538×	`rational.json-1`
1538×	`rational.json-2`
1538×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	66	19
2	213	19
3	776	19
4	2989	19

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(-.f64 (/.f64 1 x) (/.f64 y x))

Outputs

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

simplify197.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1462×	`rational.json-simplify-49`
1278×	`rational.json-simplify-2`
1094×	`rational.json-simplify-50`
892×	`rational.json-simplify-43`
884×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	1127
1	97	829
2	294	829
3	1643	829
4	5776	829

Stop Event

1×	node limit

Counts

47 → 32

Calls

Call 1

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

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

localize16.0ms (0.1%)

Compiler: Compiled 36 to 28 computations (22.2% saved)

eval20.0ms (0.2%)

Compiler: Compiled 1029 to 503 computations (51.1% saved)

prune15.0ms (0.1%)

Pruning

15 alts after pruning (4 fresh and 11 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	2	2
Picked	0	1	1
Done	1	10	11
Total	52	15	67

Error

0.0b

Counts

67 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
✓	21.8b	(/.f64 (-.f64 x y) (-.f64 2 y))
✓	37.9b	(/.f64 (-.f64 x y) (neg.f64 y))
✓	32.8b	(/.f64 x (-.f64 2 x))
✓	41.1b	(-.f64 (/.f64 y x) 1)
	37.9b	(-.f64 1 (/.f64 x y))
✓	37.9b	(-.f64 1 (/.f64 -2 y))
✓	37.6b	(-.f64 1 (*.f64 2 (/.f64 x y)))
	41.1b	(-.f64 -1 (*.f64 2 (neg.f64 (/.f64 y x))))
✓	53.9b	(*.f64 x 1/2)
✓	30.1b	(neg.f64 (/.f64 y (-.f64 2 y)))
✓	55.5b	(neg.f64 (+.f64 (.f64 1/2 y) (.f64 1/4 (pow.f64 y 2))))
✓	55.1b	(neg.f64 (*.f64 1/2 y))
	37.9b	1
	41.3b	-1

Compiler

Compiled 112 to 85 computations (24.1% saved)

regimes40.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

Inputs
-1
1
(*.f64 x 1/2)
(neg.f64 (*.f64 1/2 y))
(-.f64 1 (/.f64 -2 y))
(-.f64 1 (/.f64 x y))
(-.f64 (/.f64 y x) 1)
(/.f64 x (-.f64 2 x))
(neg.f64 (/.f64 y (-.f64 2 y)))
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(-.f64 1 (*.f64 2 (/.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 2 y))
(-.f64 -1 (*.f64 2 (neg.f64 (/.f64 y x))))
(-.f64 1 (/.f64 (-.f64 (*.f64 2 x) 2) y))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 y x))))
(neg.f64 (+.f64 (.f64 1/2 y) (.f64 1/4 (pow.f64 y 2))))
(+.f64 (.f64 x 1/2) (.f64 (+.f64 1/2 (.f64 x -1/4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y))))
(+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (+.f64 (.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2)))))

Outputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Calls

3 calls:

14.0ms	x
12.0ms	y
9.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))`

Compiler

Compiled 198 to 131 computations (33.8% saved)

regimes67.0ms (0.5%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	y
30.0ms	x

Results

Error	Segments	Branch
8.1b	3	`x`
13.5b	3	`y`

Compiler

Compiled 86 to 54 computations (37.2% saved)

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	3.803315564808297e+78	7.80653788816585e+78
24.0ms	-3250.92273838339	-1.4944144197141334e-20

Results

29.0ms

256×

body

256

valid

Compiler

Compiled 319 to 234 computations (26.6% saved)

regimes82.0ms (0.7%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

48.0ms	y
31.0ms	x

Results

Error	Segments	Branch
8.1b	3	`x`
12.5b	5	`y`

Compiler

Compiled 69 to 42 computations (39.1% saved)

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	3.803315564808297e+78	7.80653788816585e+78
23.0ms	-3250.92273838339	-1.4944144197141334e-20

Results

29.0ms

256×

body

256

valid

Compiler

Compiled 304 to 219 computations (28% saved)

regimes86.0ms (0.7%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	x
41.0ms	y

Results

Error	Segments	Branch
14.4b	5	`x`
12.5b	5	`y`

Compiler

Compiled 62 to 39 computations (37.1% saved)

bsearch68.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	8.652453298683167e+95	6.364753981287976e+100
13.0ms	5.179823039325543e+61	1.5438454564607346e+63
17.0ms	13856.310819392706	5103765.852184418
19.0ms	-2.8218094717020097e-17	-5.174398302422652e-33

Results

57.0ms

544×

body

256

valid

Compiler

Compiled 603 to 462 computations (23.4% saved)

regimes340.0ms (2.7%)

Counts

11 → 5

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 y (-.f64 2 y)))
(/.f64 x (-.f64 2 x))
(neg.f64 (/.f64 y (-.f64 2 y)))
(/.f64 x (-.f64 2 x))
(/.f64 (-.f64 x y) (neg.f64 y))

Calls

2 calls:

181.0ms	x
156.0ms	y

Results

Error	Segments	Branch
14.5b	5	`x`
12.7b	5	`y`

Compiler

Compiled 55 to 35 computations (36.4% saved)

bsearch102.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
27.0ms	8.652453298683167e+95	6.364753981287976e+100
22.0ms	5.179823039325543e+61	1.5438454564607346e+63
22.0ms	13856.310819392706	5103765.852184418
30.0ms	-2.8218094717020097e-17	-5.174398302422652e-33

Results

84.0ms

544×

body

256

valid

Compiler

Compiled 594 to 444 computations (25.3% saved)

regimes117.0ms (0.9%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

2 calls:

56.0ms	y
55.0ms	x

Results

Error	Segments	Branch
14.5b	5	`x`
12.7b	5	`y`

Compiler

Compiled 49 to 33 computations (32.7% saved)

bsearch196.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	8.652453298683167e+95	6.364753981287976e+100
18.0ms	5.179823039325543e+61	1.5438454564607346e+63
122.0ms	13856.310819392706	5103765.852184418
30.0ms	-2.8218094717020097e-17	-5.174398302422652e-33

Results

180.0ms

544×

body

256

valid

Compiler

Compiled 585 to 444 computations (24.1% saved)

regimes198.0ms (1.6%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

2 calls:

122.0ms	y
73.0ms	x

Results

Error	Segments	Branch
20.2b	7	`x`
13.4b	5	`y`

Compiler

Compiled 37 to 26 computations (29.7% saved)

bsearch100.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
27.0ms	8.652453298683167e+95	6.364753981287976e+100
21.0ms	5.179823039325543e+61	1.5438454564607346e+63
23.0ms	13856.310819392706	5103765.852184418
29.0ms	-3.715618331058264e+45	-2.817813089366144e+34

Results

83.0ms

544×

body

256

valid

Compiler

Compiled 560 to 434 computations (22.5% saved)

regimes456.0ms (3.6%)

Counts

7 → 7

Calls

Call 1

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

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

Calls

2 calls:

280.0ms	x
173.0ms	y

Results

Error	Segments	Branch
20.8b	7	`x`
18.3b	7	`y`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch374.0ms (3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
146.0ms	8.652453298683167e+95	6.364753981287976e+100
24.0ms	5.179823039325543e+61	1.5438454564607346e+63
25.0ms	13856.310819392706	5103765.852184418
130.0ms	6.915421340836734e-279	2.458068870215383e-275
21.0ms	-1.586264385980621e-217	-7.043510864432866e-220
28.0ms	-3.715618331058264e+45	-2.817813089366144e+34

Results

246.0ms

784×

body

256

valid

Compiler

Compiled 706 to 567 computations (19.7% saved)

regimes236.0ms (1.9%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

2 calls:

161.0ms	x
72.0ms	y

Results

Error	Segments	Branch
20.9b	7	`x`
18.4b	7	`y`

Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch474.0ms (3.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
24.0ms	8.652453298683167e+95	6.364753981287976e+100
224.0ms	9.123159965727868e+75	1.128799523281576e+79
26.0ms	13856.310819392706	5103765.852184418
25.0ms	6.915421340836734e-279	2.458068870215383e-275
21.0ms	-1.586264385980621e-217	-7.043510864432866e-220
154.0ms	-3.715618331058264e+45	-2.817813089366144e+34

Results

253.0ms

800×

body

256

valid

Compiler

Compiled 586 to 512 computations (12.6% saved)

regimes296.0ms (2.4%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

2 calls:

240.0ms	x
54.0ms	y

Results

Error	Segments	Branch
21.0b	7	`x`
18.5b	7	`y`

Compiler

Compiled 22 to 17 computations (22.7% saved)

bsearch200.0ms (1.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
75.0ms	8.652453298683167e+95	6.364753981287976e+100
25.0ms	9.123159965727868e+75	1.128799523281576e+79
24.0ms	13856.310819392706	5103765.852184418
24.0ms	6.915421340836734e-279	2.458068870215383e-275
20.0ms	-1.586264385980621e-217	-7.043510864432866e-220
32.0ms	-5.790057229134993e+21	-14358253512.468233

Results

178.0ms

800×

body

256

valid

Compiler

Compiled 510 to 474 computations (7.1% saved)

regimes243.0ms (1.9%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

2 calls:

184.0ms	y
48.0ms	x

Results

Error	Segments	Branch
21.1b	7	`x`
18.7b	7	`y`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch216.0ms (1.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
23.0ms	8.652453298683167e+95	6.364753981287976e+100
86.0ms	9.123159965727868e+75	1.128799523281576e+79
23.0ms	13856.310819392706	5103765.852184418
42.0ms	6.915421340836734e-279	2.458068870215383e-275
22.0ms	-1.586264385980621e-217	-7.043510864432866e-220
20.0ms	-5.790057229134993e+21	-14358253512.468233

Results

196.0ms

752×

body

256

valid

Compiler

Compiled 422 to 402 computations (4.7% saved)

regimes282.0ms (2.3%)

Accuracy

Total -41.0b remaining (-187.5%)

Threshold costs -41.0b (-187.5%)

Counts

2 → 5

Calls

Call 1

Inputs
-1
1

Outputs
1
-1
1
-1
1

Calls

2 calls:

260.0ms	y
21.0ms	x

Results

Error	Segments	Branch
24.1b	3	`x`
21.9b	5	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch114.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	8.652453298683167e+95	6.364753981287976e+100
39.0ms	9.123159965727868e+75	1.128799523281576e+79
51.0ms	13856.310819392706	5103765.852184418
5.0ms	-5.790057229134993e+21	-14358253512.468233

Results

103.0ms

400×

body

256

valid

Compiler

Compiled 216 to 211 computations (2.3% saved)

simplify43.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	1017

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(if (<=.f64 x -235) (/.f64 x (-.f64 2 x)) (if (<=.f64 x 4799999999999999711668471417469365854520739126603949959748822566257452478627840) (/.f64 (-.f64 x y) (-.f64 2 y)) (-.f64 -1 (*.f64 2 (neg.f64 (/.f64 y x))))))
(if (<=.f64 x -3332663724254167/4503599627370496) (/.f64 x (-.f64 2 x)) (if (<=.f64 x 3900000000000000382794842022146125564911543999372148710821867947676628894613504) (/.f64 (-.f64 x y) (-.f64 2 y)) (-.f64 (/.f64 y x) 1)))
(if (<=.f64 y -376441522243775/1298074214633706907132624082305024) (neg.f64 (/.f64 y (-.f64 2 y))) (if (<=.f64 y 230000) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 1449999999999999965147033883818244145671006441105813288305819648) (neg.f64 (/.f64 y (-.f64 2 y))) (if (<=.f64 y 879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) (/.f64 x (-.f64 2 x)) (-.f64 1 (*.f64 2 (/.f64 x y)))))))
(if (<=.f64 y -4984604984193435/664613997892457936451903530140172288) (neg.f64 (/.f64 y (-.f64 2 y))) (if (<=.f64 y 210000) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 1279999999999999935215533180254744149713465614097164893547397120) (neg.f64 (/.f64 y (-.f64 2 y))) (if (<=.f64 y 879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) (/.f64 x (-.f64 2 x)) (/.f64 (-.f64 x y) (neg.f64 y))))))
(if (<=.f64 y -4253529586511731/1329227995784915872903807060280344576) (neg.f64 (/.f64 y (-.f64 2 y))) (if (<=.f64 y 3150000) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 1449999999999999965147033883818244145671006441105813288305819648) (neg.f64 (/.f64 y (-.f64 2 y))) (if (<=.f64 y 1050000000000000058283291639454926873547616342155206141241060792023384697874499407358834203688960) (/.f64 x (-.f64 2 x)) (-.f64 1 (/.f64 x y))))))
(if (<=.f64 y -157999999999999992546147141532776622052081664) (-.f64 1 (/.f64 x y)) (if (<=.f64 y 4200000) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 280000000000000014373351737299922903915539992073657548118425600) (-.f64 1 (/.f64 -2 y)) (if (<=.f64 y 879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) (/.f64 x (-.f64 2 x)) (-.f64 1 (/.f64 x y))))))
(if (<=.f64 y -28499999999999998737124459282432000) (-.f64 1 (/.f64 x y)) (if (<=.f64 y -6677069811366889/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (-.f64 (/.f64 y x) 1) (if (<=.f64 y 5388768835743743/9979201547673599058281863565184192830337256302177287707512736212186059459344820328924789827463178505446712234220962476219862189941967968303695858991424157101600028364755428382587688607221814935913266783722719619966654052275604351944444276342240220787535604534378780208211792476151720049639424) (*.f64 x 1/2) (if (<=.f64 y 48000) -1 (if (<=.f64 y 114999999999999992038649020104572348113390222092299453830529024) (-.f64 1 (/.f64 -2 y)) (if (<=.f64 y 879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) (-.f64 (/.f64 y x) 1) (-.f64 1 (/.f64 x y))))))))
(if (<=.f64 y -1649999999999999929798796706937044992) (-.f64 1 (/.f64 x y)) (if (<=.f64 y -4578562156365867/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) -1 (if (<=.f64 y 7584193176231935/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (*.f64 x 1/2) (if (<=.f64 y 530000) -1 (if (<=.f64 y 10999999999999999476365626775134466929524125711579927406319040517138317209239552) (-.f64 1 (/.f64 -2 y)) (if (<=.f64 y 879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) -1 (-.f64 1 (/.f64 x y))))))))
(if (<=.f64 y -2600000000000) 1 (if (<=.f64 y -943931000118831/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784) -1 (if (<=.f64 y 5925150918931199/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) (*.f64 x 1/2) (if (<=.f64 y 950000) -1 (if (<=.f64 y 320000000000000015059243038689750268529907245051732184456918705116743985004544) (-.f64 1 (/.f64 -2 y)) (if (<=.f64 y 879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) -1 1))))))
(if (<=.f64 y -4000000000000000000) 1 (if (<=.f64 y -5087291284850963/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) -1 (if (<=.f64 y 6546356215273881/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (*.f64 x 1/2) (if (<=.f64 y 5000000) -1 (if (<=.f64 y 10999999999999999476365626775134466929524125711579927406319040517138317209239552) 1 (if (<=.f64 y 879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) -1 1))))))
(if (<=.f64 y -5000000000000000000000) 1 (if (<=.f64 y 5000000) -1 (if (<=.f64 y 3500000000000000132571709850489338051206618645930068717053488461558530629959680) 1 (if (<=.f64 y 1000000000000000049861653971908893017010268485438462151574892930611988399099305815384459015356416) -1 1))))
-1

Outputs
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(if (<=.f64 x -235) (/.f64 x (-.f64 2 x)) (if (<=.f64 x 4799999999999999711668471417469365854520739126603949959748822566257452478627840) (/.f64 (-.f64 x y) (-.f64 2 y)) (-.f64 -1 (*.f64 2 (neg.f64 (/.f64 y x))))))
(if (<=.f64 x -3332663724254167/4503599627370496) (/.f64 x (-.f64 2 x)) (if (<=.f64 x 3900000000000000382794842022146125564911543999372148710821867947676628894613504) (/.f64 (-.f64 x y) (-.f64 2 y)) (-.f64 (/.f64 y x) 1)))
(if (<=.f64 y -376441522243775/1298074214633706907132624082305024) (neg.f64 (/.f64 y (-.f64 2 y))) (if (<=.f64 y 230000) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 1449999999999999965147033883818244145671006441105813288305819648) (neg.f64 (/.f64 y (-.f64 2 y))) (if (<=.f64 y 879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) (/.f64 x (-.f64 2 x)) (-.f64 1 (*.f64 2 (/.f64 x y)))))))
(if (<=.f64 y -4984604984193435/664613997892457936451903530140172288) (neg.f64 (/.f64 y (-.f64 2 y))) (if (<=.f64 y 210000) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 1279999999999999935215533180254744149713465614097164893547397120) (neg.f64 (/.f64 y (-.f64 2 y))) (if (<=.f64 y 879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) (/.f64 x (-.f64 2 x)) (/.f64 (-.f64 x y) (neg.f64 y))))))
(if (<=.f64 y -4253529586511731/1329227995784915872903807060280344576) (neg.f64 (/.f64 y (-.f64 2 y))) (if (<=.f64 y 3150000) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 1449999999999999965147033883818244145671006441105813288305819648) (neg.f64 (/.f64 y (-.f64 2 y))) (if (<=.f64 y 1050000000000000058283291639454926873547616342155206141241060792023384697874499407358834203688960) (/.f64 x (-.f64 2 x)) (-.f64 1 (/.f64 x y))))))
(if (<=.f64 y -157999999999999992546147141532776622052081664) (-.f64 1 (/.f64 x y)) (if (<=.f64 y 4200000) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 280000000000000014373351737299922903915539992073657548118425600) (-.f64 1 (/.f64 -2 y)) (if (<=.f64 y 879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) (/.f64 x (-.f64 2 x)) (-.f64 1 (/.f64 x y))))))
(if (<=.f64 y -28499999999999998737124459282432000) (-.f64 1 (/.f64 x y)) (if (<=.f64 y -6677069811366889/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (-.f64 (/.f64 y x) 1) (if (<=.f64 y 5388768835743743/9979201547673599058281863565184192830337256302177287707512736212186059459344820328924789827463178505446712234220962476219862189941967968303695858991424157101600028364755428382587688607221814935913266783722719619966654052275604351944444276342240220787535604534378780208211792476151720049639424) (*.f64 x 1/2) (if (<=.f64 y 48000) -1 (if (<=.f64 y 114999999999999992038649020104572348113390222092299453830529024) (-.f64 1 (/.f64 -2 y)) (if (<=.f64 y 879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) (-.f64 (/.f64 y x) 1) (-.f64 1 (/.f64 x y))))))))
(if (<=.f64 y -1649999999999999929798796706937044992) (-.f64 1 (/.f64 x y)) (if (<=.f64 y -4578562156365867/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) -1 (if (<=.f64 y 7584193176231935/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (*.f64 x 1/2) (if (<=.f64 y 530000) -1 (if (<=.f64 y 10999999999999999476365626775134466929524125711579927406319040517138317209239552) (-.f64 1 (/.f64 -2 y)) (if (<=.f64 y 879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) -1 (-.f64 1 (/.f64 x y))))))))
(if (<=.f64 y -2600000000000) 1 (if (<=.f64 y -943931000118831/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784) -1 (if (<=.f64 y 5925150918931199/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) (*.f64 x 1/2) (if (<=.f64 y 950000) -1 (if (<=.f64 y 320000000000000015059243038689750268529907245051732184456918705116743985004544) (-.f64 1 (/.f64 -2 y)) (if (<=.f64 y 879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) -1 1))))))
(if (<=.f64 y -4000000000000000000) 1 (if (<=.f64 y -5087291284850963/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) -1 (if (<=.f64 y 6546356215273881/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (*.f64 x 1/2) (if (<=.f64 y 5000000) -1 (if (<=.f64 y 10999999999999999476365626775134466929524125711579927406319040517138317209239552) 1 (if (<=.f64 y 879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) -1 1))))))
(if (<=.f64 y -5000000000000000000000) 1 (if (<=.f64 y 5000000) -1 (if (<=.f64 y 3500000000000000132571709850489338051206618645930068717053488461558530629959680) 1 (if (<=.f64 y 1000000000000000049861653971908893017010268485438462151574892930611988399099305815384459015356416) -1 1))))
-1

Compiler

Compiled 451 to 322 computations (28.6% saved)

soundness0.0ms (0%)

end427.0ms (3.4%)

Compiler: Compiled 427 to 289 computations (32.3% saved)