Details

analyze63.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
51.6%	50%	46.8%	0.1%	3.1%	0%	0%	7
61.3%	59.3%	37.5%	0.1%	3.1%	0%	0%	8
72.3%	67.1%	25.8%	0.1%	7%	0%	0%	9
78.2%	72.6%	20.3%	0.1%	7%	0%	0%	10
85.1%	76.9%	13.5%	0.1%	9.6%	0%	0%	11
88.3%	79.8%	10.5%	0.1%	9.6%	0%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.1s (22.2%)

Results

1.0s	8256×	body	256	valid
29.0ms	302×	body	256	infinite

Bogosity

preprocess18.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

8×	`rational_best-simplify-2`
8×	`rational_best-simplify-1`
4×	`rational_best-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
1	26	62
2	28	62
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 y (-.f64 x 1)) (.f64 x 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 y (-.f64 x 1)) (.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y (+.f64 x -1)) (.f64 x 1/2)))

Compiler

Compiled 15 to 12 computations (20% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`rational_best-simplify-2`
4×	`rational_best-simplify-1`
2×	`rational_best-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	17	31
2	18	31

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

eval1.0ms (0%)

Compiler: Compiled 24 to 18 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 26 computations (31.6% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite94.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`rational_best-simplify-57`
826×	`rational_best-simplify-82`
652×	`rational_best-simplify-80`
612×	`rational_best-simplify-43`
534×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	82	38
2	258	38
3	1051	38
4	4479	38

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

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

Outputs

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

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

simplify135.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1410×	`rational_best-simplify-54`
1154×	`rational_best-simplify-44`
1082×	`rational_best-simplify-80`
976×	`rational_best-simplify-78`
916×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	2521
1	220	2495
2	447	2477
3	1916	2477
4	4849	2477

Stop Event

1×	node limit

Counts

93 → 80

Calls

Call 1

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

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

eval31.0ms (0.7%)

Compiler: Compiled 1860 to 1286 computations (30.9% saved)

prune15.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	6	81

Error

Counts

81 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.4b	(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
✓	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
▶	10.0b	(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
▶	0.0b	(+.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 x 1/2))) 918938533204673/1000000000000000)
▶	20.4b	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
▶	29.2b	(+.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)

Compiler

Compiled 111 to 86 computations (22.5% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 20 computations (41.2% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite97.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`rational_best-simplify-57`
690×	`rational_best-simplify-80`
610×	`rational_best-simplify-43`
568×	`rational_best-simplify-44`
486×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	87	36
2	281	36
3	1089	36
4	4680	36

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

Outputs

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

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

simplify196.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1300×	`rational_best-simplify-54`
874×	`rational_best-simplify-2`
792×	`rational_best-simplify-49`
630×	`rational_best-simplify-80`
626×	`rational_best-simplify-78`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	1516
1	191	1394
2	904	1394
3	3226	1394
4	6178	1394

Stop Event

1×	node limit

Counts

72 → 60

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
	0.0b	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
0.0ms	y	@	0	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
0.0ms	x	@	0	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
0.0ms	y	@	inf	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
0.0ms	x	@	-inf	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)

rewrite75.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`rational_best-5`
1874×	`rational_best-4`
1874×	`rational_best-2`
1874×	`rational_best-3`
1874×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	74	19
2	222	19
3	883	19
4	3805	19

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (*.f64 (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)))))

simplify210.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational_best-simplify-80`
1220×	`rational_best-simplify-78`
1186×	`rational_best-simplify-94`
1156×	`rational_best-simplify-24`
1044×	`rational_best-simplify-135`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	804
1	91	804
2	499	804
3	3176	804
4	6641	804

Stop Event

1×	node limit

Counts

42 → 29

Calls

Call 1

Inputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(-.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 0)
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))
(.f64 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))
(.f64 (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (.f64 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)
(/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(/.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 2) 2)
(pow.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)

Outputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 y -1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y -1/2) (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 y -1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y -1/2) (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 y -1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y -1/2) (.f64 y x)))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 y -1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y -1/2) (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 y -1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y -1/2) (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 y -1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y -1/2) (.f64 y x)))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 y -1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y -1/2) (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 y -1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y -1/2) (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 y -1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y -1/2) (.f64 y x)))
(-.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 0)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (.f64 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(/.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 2) 2)
(/.f64 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y (-.f64 x 1/2))) 2) 2)
(pow.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))

localize10.0ms (0.2%)

Compiler: Compiled 25 to 15 computations (40% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
✓	0.0b	(-.f64 (.f64 y x) (.f64 y 1/2))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite98.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`rational_best-simplify-57`
652×	`rational_best-simplify-80`
630×	`rational_best-simplify-43`
588×	`rational_best-simplify-44`
466×	`rational_best-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	83	32
2	257	32
3	1059	32
4	4612	32

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs
(-.f64 (.f64 y x) (.f64 y 1/2))
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))) (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 y (+.f64 x x)) y) 918938533204673/500000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))))

simplify215.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1370×	`rational_best-simplify-132`
1342×	`rational_best-simplify-2`
840×	`rational_best-simplify-49`
748×	`rational_best-simplify-44`
674×	`rational_best-simplify-135`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	2731
1	460	2609
2	1384	2597
3	3503	2567
4	7637	2567

Stop Event

1×	node limit

Counts

135 → 146

Calls

Call 1

Inputs
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(+.f64 (*.f64 y x) (/.f64 y -2))
(+.f64 (.f64 y x) (-.f64 (.f64 y (-.f64 x 1/2)) (*.f64 y x)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 0)
(+.f64 0 (*.f64 y (-.f64 x 1/2)))
(+.f64 (neg.f64 y) (*.f64 y (+.f64 x 1/2)))
(+.f64 (/.f64 y -2) (*.f64 y x))
(+.f64 (.f64 y (+.f64 x x)) (-.f64 0 (.f64 y (+.f64 x 1/2))))
(+.f64 (*.f64 y (+.f64 x 1/2)) (neg.f64 y))
(*.f64 y (-.f64 x 1/2))
(.f64 y (.f64 (-.f64 x 1/2) (/.f64 y y)))
(.f64 y (.f64 (-.f64 x 1/2) (*.f64 y (/.f64 1 y))))
(.f64 y (.f64 (/.f64 1 (.f64 y (-.f64 x 1/2))) (.f64 (*.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))
(.f64 y (-.f64 (.f64 x (/.f64 y y)) 1/2))
(.f64 y (-.f64 (.f64 x (*.f64 y (/.f64 1 y))) 1/2))
(.f64 y (-.f64 (.f64 (/.f64 1 (.f64 y x)) (.f64 y (*.f64 x x))) 1/2))
(*.f64 y (-.f64 (+.f64 x 1/2) 1))
(*.f64 y (-.f64 (+.f64 x 1/2) (/.f64 y y)))
(.f64 y (-.f64 (+.f64 x 1/2) (.f64 y (/.f64 1 y))))
(.f64 1/2 (-.f64 (.f64 y (+.f64 x x)) y))
(.f64 (.f64 y 1/2) (-.f64 (+.f64 x x) 1))
(.f64 (.f64 y 1/2) (-.f64 (+.f64 x x) (/.f64 y y)))
(.f64 (.f64 y 1/2) (-.f64 (+.f64 x x) (*.f64 y (/.f64 1 y))))
(.f64 (.f64 y (-.f64 x 1/2)) 1)
(.f64 (.f64 y (-.f64 x 1/2)) (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2))))
(.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (.f64 (/.f64 1 (*.f64 y (-.f64 x 1/2))) (-.f64 x 1/2))))
(.f64 (.f64 y (-.f64 x 1/2)) (/.f64 1 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2)))))
(.f64 1 (.f64 y (-.f64 x 1/2)))
(.f64 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2))) (.f64 y (-.f64 x 1/2)))
(.f64 (.f64 y (-.f64 1/2 x)) -1)
(*.f64 (-.f64 x 1/2) y)
(.f64 (/.f64 1 y) (.f64 (-.f64 x 1/2) (*.f64 y y)))
(.f64 (/.f64 1 y) (-.f64 (.f64 y (.f64 y x)) (.f64 y (*.f64 y 1/2))))
(.f64 (/.f64 1 y) (-.f64 (+.f64 (.f64 y (.f64 y x)) (.f64 y (.f64 y 1/2))) (.f64 y y)))
(.f64 (.f64 y y) (*.f64 (-.f64 x 1/2) (/.f64 1 y)))
(.f64 (.f64 y y) (-.f64 (*.f64 x (/.f64 1 y)) (/.f64 1/2 y)))
(.f64 (/.f64 1 (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (*.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))
(.f64 (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))) (/.f64 1 (*.f64 y (-.f64 x 1/2))))
(.f64 (+.f64 y y) (.f64 (-.f64 x 1/2) 1/2))
(.f64 (+.f64 y y) (-.f64 (.f64 x 1/2) 1/4))
(.f64 (/.f64 1 (.f64 y 1/2)) (.f64 (-.f64 x 1/2) (.f64 y (*.f64 y 1/2))))
(.f64 (/.f64 1 (.f64 y 1/2)) (-.f64 (.f64 x (.f64 y (.f64 y 1/2))) (.f64 1/4 (*.f64 y y))))
(.f64 (.f64 y (.f64 (/.f64 1 (.f64 y (-.f64 x 1/2))) (-.f64 x 1/2))) (*.f64 y (-.f64 x 1/2)))
(.f64 (/.f64 1 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2)))) (.f64 y (-.f64 x 1/2)))
(.f64 (/.f64 1 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2)))) (.f64 (.f64 y (-.f64 x 1/2)) (.f64 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2))) (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2))))))
(.f64 (/.f64 (/.f64 1 (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))) (.f64 (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2))) (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (*.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))
(.f64 (/.f64 (.f64 y (.f64 (/.f64 1 (.f64 y (-.f64 x 1/2))) (-.f64 x 1/2))) (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))
(.f64 (/.f64 1/2 (-.f64 (.f64 y (+.f64 x x)) y)) (.f64 (.f64 y (-.f64 x 1/2)) (.f64 (.f64 y (-.f64 x 1/2)) 4)))
(.f64 (/.f64 (/.f64 (/.f64 1 (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))) (.f64 (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))) (.f64 (.f64 (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))) (.f64 (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))) (.f64 y (.f64 (*.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))))
(.f64 (/.f64 (/.f64 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2))) (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))) (.f64 (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 (.f64 y (.f64 (/.f64 1 (.f64 y (-.f64 x 1/2))) (-.f64 x 1/2))) (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))) (.f64 (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))) (.f64 y (.f64 (*.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))))
(.f64 (/.f64 (-.f64 (.f64 y (+.f64 x x)) y) 1/2) 1/4)
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2)))) (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (*.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))
(.f64 (/.f64 -1 (.f64 y (-.f64 1/2 x))) (.f64 y (.f64 (*.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))
(/.f64 (*.f64 y (-.f64 x 1/2)) 1)
(/.f64 (.f64 y (-.f64 x 1/2)) (/.f64 (.f64 y (-.f64 x 1/2)) (*.f64 y (-.f64 x 1/2))))
(/.f64 (*.f64 y (-.f64 1/2 x)) -1)
(/.f64 (-.f64 (*.f64 y (+.f64 x x)) y) 2)
(/.f64 (-.f64 y (*.f64 y (+.f64 x x))) -2)
(pow.f64 (*.f64 y (-.f64 x 1/2)) 1)
(neg.f64 (*.f64 y (-.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 0)
(-.f64 0 (neg.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))
(.f64 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))
(.f64 (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))) (.f64 (.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)
(/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(/.f64 (+.f64 (-.f64 (*.f64 y (+.f64 x x)) y) 918938533204673/500000000000000) 2)
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) 2) -2)
(pow.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)
(neg.f64 (neg.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))

Outputs
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 x -1))))
(*.f64 (+.f64 1/2 (neg.f64 x)) (neg.f64 y))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 x -1))))
(*.f64 (+.f64 1/2 (neg.f64 x)) (neg.f64 y))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 x -1))))
(*.f64 (+.f64 1/2 (neg.f64 x)) (neg.f64 y))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 x -1))))
(*.f64 (+.f64 1/2 (neg.f64 x)) (neg.f64 y))
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 y -1/2) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 y -1/2) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 y -1/2) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 y -1/2) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 y -1/2) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 y -1/2) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 y -1/2) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 y -1/2) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 y -1/2) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 x -1))))
(*.f64 (+.f64 1/2 (neg.f64 x)) (neg.f64 y))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (*.f64 x -1)))) 918938533204673/1000000000000000)
(+.f64 (*.f64 (+.f64 1/2 (neg.f64 x)) (neg.f64 y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (*.f64 x -1)))) 918938533204673/1000000000000000)
(+.f64 (*.f64 (+.f64 1/2 (neg.f64 x)) (neg.f64 y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (*.f64 x -1)))) 918938533204673/1000000000000000)
(+.f64 (*.f64 (+.f64 1/2 (neg.f64 x)) (neg.f64 y)) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 y 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 y 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 y 1/2))
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 y 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 y 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 y 1/2))
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 y 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 y 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 y 1/2))
(+.f64 (*.f64 y x) (/.f64 y -2))
(+.f64 (.f64 y x) (-.f64 (.f64 y (-.f64 x 1/2)) (*.f64 y x)))
(+.f64 (.f64 y x) (.f64 y (-.f64 (-.f64 x 1/2) x)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 0)
(*.f64 y (-.f64 x 1/2))
(+.f64 0 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 (neg.f64 y) (*.f64 y (+.f64 x 1/2)))
(+.f64 (.f64 y -1/2) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (/.f64 y -2) (*.f64 y x))
(+.f64 (*.f64 y x) (/.f64 y -2))
(+.f64 (.f64 y (+.f64 x x)) (-.f64 0 (.f64 y (+.f64 x 1/2))))
(+.f64 (.f64 y (+.f64 x x)) (neg.f64 (.f64 y (+.f64 x 1/2))))
(+.f64 (*.f64 y (+.f64 x 1/2)) (neg.f64 y))
(+.f64 (.f64 y -1/2) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(.f64 y (.f64 (-.f64 x 1/2) (/.f64 y y)))
(*.f64 y (-.f64 x 1/2))
(.f64 y (.f64 (-.f64 x 1/2) (*.f64 y (/.f64 1 y))))
(*.f64 y (-.f64 x 1/2))
(.f64 y (.f64 (/.f64 1 (.f64 y (-.f64 x 1/2))) (.f64 (*.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))
(*.f64 y (-.f64 x 1/2))
(.f64 y (-.f64 (.f64 x (/.f64 y y)) 1/2))
(.f64 y (-.f64 (.f64 x (*.f64 y (/.f64 1 y))) 1/2))
(.f64 y (-.f64 (.f64 y (*.f64 x (/.f64 1 y))) 1/2))
(.f64 y (-.f64 (.f64 y (/.f64 x y)) 1/2))
(.f64 y (-.f64 (.f64 (/.f64 1 (.f64 y x)) (.f64 y (*.f64 x x))) 1/2))
(.f64 y (-.f64 (.f64 y (.f64 (/.f64 1 (.f64 y x)) (*.f64 x x))) 1/2))
(.f64 y (-.f64 (.f64 y (.f64 x (.f64 (/.f64 1 (*.f64 y x)) x))) 1/2))
(.f64 y (-.f64 (.f64 (.f64 (.f64 y x) 1) (/.f64 x (*.f64 y x))) 1/2))
(.f64 y (-.f64 (.f64 (.f64 y x) (/.f64 x (.f64 y x))) 1/2))
(*.f64 y (-.f64 (+.f64 x 1/2) 1))
(+.f64 (.f64 y -1/2) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 (+.f64 x 1/2) (/.f64 y y)))
(.f64 y (-.f64 (+.f64 x 1/2) (.f64 y (/.f64 1 y))))
(.f64 y (+.f64 (+.f64 x 1/2) (.f64 y (/.f64 -1 y))))
(.f64 1/2 (-.f64 (.f64 y (+.f64 x x)) y))
(.f64 y (.f64 1/2 (+.f64 -1 (+.f64 x x))))
(.f64 (.f64 y 1/2) (-.f64 (+.f64 x x) 1))
(.f64 1/2 (-.f64 (.f64 y (+.f64 x x)) y))
(.f64 y (.f64 1/2 (+.f64 -1 (+.f64 x x))))
(.f64 (.f64 y 1/2) (-.f64 (+.f64 x x) (/.f64 y y)))
(.f64 (.f64 y 1/2) (-.f64 (+.f64 x x) (*.f64 y (/.f64 1 y))))
(.f64 y (.f64 (-.f64 (+.f64 x x) (*.f64 y (/.f64 1 y))) 1/2))
(.f64 (.f64 y 1/2) (+.f64 (+.f64 x x) (*.f64 y (/.f64 -1 y))))
(.f64 (.f64 y (-.f64 x 1/2)) 1)
(*.f64 y (-.f64 x 1/2))
(.f64 (.f64 y (-.f64 x 1/2)) (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2))))
(*.f64 y (-.f64 x 1/2))
(.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (.f64 (/.f64 1 (*.f64 y (-.f64 x 1/2))) (-.f64 x 1/2))))
(*.f64 y (-.f64 x 1/2))
(.f64 (.f64 y (-.f64 x 1/2)) (/.f64 1 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2)))))
(*.f64 y (-.f64 x 1/2))
(.f64 1 (.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(.f64 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2))) (.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(.f64 (.f64 y (-.f64 1/2 x)) -1)
(neg.f64 (*.f64 y (-.f64 1/2 x)))
(*.f64 (-.f64 1/2 x) (neg.f64 y))
(*.f64 (neg.f64 y) (-.f64 1/2 x))
(*.f64 (-.f64 x 1/2) y)
(*.f64 y (-.f64 x 1/2))
(.f64 (/.f64 1 y) (.f64 (-.f64 x 1/2) (*.f64 y y)))
(*.f64 y (-.f64 x 1/2))
(.f64 (/.f64 1 y) (-.f64 (.f64 y (.f64 y x)) (.f64 y (*.f64 y 1/2))))
(*.f64 y (-.f64 x 1/2))
(.f64 (/.f64 1 y) (-.f64 (+.f64 (.f64 y (.f64 y x)) (.f64 y (.f64 y 1/2))) (.f64 y y)))
(.f64 (/.f64 1 y) (-.f64 (.f64 y (+.f64 (.f64 y 1/2) (.f64 y x))) (*.f64 y y)))
(.f64 (/.f64 1 y) (.f64 y (-.f64 (*.f64 y (+.f64 x 1/2)) y)))
(.f64 y (/.f64 (.f64 y (+.f64 x -1/2)) y))
(.f64 (.f64 y y) (*.f64 (-.f64 x 1/2) (/.f64 1 y)))
(*.f64 y (-.f64 x 1/2))
(.f64 (.f64 y y) (-.f64 (*.f64 x (/.f64 1 y)) (/.f64 1/2 y)))
(.f64 y (.f64 (-.f64 (*.f64 x (/.f64 1 y)) (/.f64 1/2 y)) y))
(.f64 y (.f64 y (-.f64 (*.f64 x (/.f64 1 y)) (/.f64 1/2 y))))
(.f64 (/.f64 1 (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (*.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))
(*.f64 y (-.f64 x 1/2))
(.f64 (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))) (/.f64 1 (*.f64 y (-.f64 x 1/2))))
(*.f64 y (-.f64 x 1/2))
(.f64 (+.f64 y y) (.f64 (-.f64 x 1/2) 1/2))
(.f64 (+.f64 y y) (.f64 1/2 (-.f64 x 1/2)))
(.f64 (-.f64 x 1/2) (.f64 1/2 (+.f64 y y)))
(.f64 1/2 (.f64 (-.f64 x 1/2) (+.f64 y y)))
(.f64 (+.f64 y y) (-.f64 (.f64 x 1/2) 1/4))
(.f64 (/.f64 1 (.f64 y 1/2)) (.f64 (-.f64 x 1/2) (.f64 y (*.f64 y 1/2))))
(.f64 (-.f64 x 1/2) (.f64 (/.f64 1 (.f64 y 1/2)) (.f64 y (*.f64 y 1/2))))
(.f64 y (.f64 (/.f64 1 (.f64 y 1/2)) (.f64 y (*.f64 1/2 (-.f64 x 1/2)))))
(.f64 y (.f64 (/.f64 1 (.f64 y 1/2)) (.f64 (-.f64 x 1/2) (*.f64 y 1/2))))
(.f64 y (.f64 (.f64 y 1/2) (/.f64 (-.f64 x 1/2) (.f64 y 1/2))))
(.f64 (/.f64 1 (.f64 y 1/2)) (-.f64 (.f64 x (.f64 y (.f64 y 1/2))) (.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 1 (.f64 y 1/2)) (-.f64 (.f64 x (.f64 y (.f64 y 1/2))) (.f64 (*.f64 y y) 1/4)))
(.f64 (/.f64 1 (.f64 y 1/2)) (-.f64 (.f64 x (.f64 y (.f64 y 1/2))) (.f64 y (*.f64 y 1/4))))
(.f64 (/.f64 1 (.f64 y 1/2)) (.f64 y (-.f64 (.f64 x (.f64 y 1/2)) (.f64 y 1/4))))
(.f64 (/.f64 1 (.f64 y 1/2)) (.f64 y (.f64 y (-.f64 (*.f64 x 1/2) 1/4))))
(.f64 (.f64 y (.f64 (/.f64 1 (.f64 y (-.f64 x 1/2))) (-.f64 x 1/2))) (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(.f64 (/.f64 1 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2)))) (.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(.f64 (/.f64 1 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2)))) (.f64 (.f64 y (-.f64 x 1/2)) (.f64 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2))) (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2))))))
(*.f64 y (-.f64 x 1/2))
(.f64 (/.f64 (/.f64 1 (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))) (.f64 (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))))
(*.f64 y (-.f64 x 1/2))
(.f64 (/.f64 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2))) (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (*.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))
(*.f64 y (-.f64 x 1/2))
(.f64 (/.f64 (.f64 y (.f64 (/.f64 1 (.f64 y (-.f64 x 1/2))) (-.f64 x 1/2))) (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))
(*.f64 y (-.f64 x 1/2))
(.f64 (/.f64 1/2 (-.f64 (.f64 y (+.f64 x x)) y)) (.f64 (.f64 y (-.f64 x 1/2)) (.f64 (.f64 y (-.f64 x 1/2)) 4)))
(.f64 (.f64 y (-.f64 x 1/2)) (.f64 (/.f64 1/2 (-.f64 (.f64 y (+.f64 x x)) y)) (.f64 y (.f64 4 (-.f64 x 1/2)))))
(.f64 (.f64 y (-.f64 x 1/2)) (.f64 (/.f64 1/2 (-.f64 (.f64 y (+.f64 x x)) y)) (.f64 (-.f64 x 1/2) (.f64 y 4))))
(.f64 (.f64 y (-.f64 x 1/2)) (.f64 (/.f64 1/2 (.f64 y (+.f64 -1 (+.f64 x x)))) (.f64 y (.f64 (-.f64 x 1/2) 4))))
(.f64 (/.f64 (/.f64 (/.f64 1 (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))) (.f64 (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))) (.f64 (.f64 (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))) (.f64 (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))) (.f64 y (.f64 (*.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))))
(*.f64 y (-.f64 x 1/2))
(.f64 (/.f64 (/.f64 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2))) (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))) (.f64 (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))))
(*.f64 y (-.f64 x 1/2))
(.f64 (/.f64 (/.f64 (.f64 y (.f64 (/.f64 1 (.f64 y (-.f64 x 1/2))) (-.f64 x 1/2))) (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))) (.f64 (.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))) (.f64 y (.f64 (*.f64 y (-.f64 x 1/2)) (-.f64 x 1/2)))))
(*.f64 y (-.f64 x 1/2))
(.f64 (/.f64 (-.f64 (.f64 y (+.f64 x x)) y) 1/2) 1/4)
(.f64 1/4 (/.f64 (-.f64 (.f64 y (+.f64 x x)) y) 1/2))
(.f64 1/4 (/.f64 (.f64 y (+.f64 -1 (+.f64 x x))) 1/2))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 y (-.f64 x 1/2)) (.f64 y (-.f64 x 1/2)))) (.f64 y (-.f64 x 1/2))) (.f64 y (.f64 (*.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))
(*.f64 y (-.f64 x 1/2))
(.f64 (/.f64 -1 (.f64 y (-.f64 1/2 x))) (.f64 y (.f64 (*.f64 y (-.f64 x 1/2)) (-.f64 x 1/2))))
(.f64 (.f64 y (.f64 (-.f64 x 1/2) (.f64 y (-.f64 x 1/2)))) (/.f64 -1 (*.f64 y (-.f64 1/2 x))))
(.f64 (.f64 y (-.f64 x 1/2)) (.f64 (/.f64 -1 (.f64 y (-.f64 1/2 x))) (*.f64 y (-.f64 x 1/2))))
(.f64 y (.f64 (.f64 y (-.f64 x 1/2)) (.f64 (-.f64 x 1/2) (/.f64 -1 (*.f64 y (-.f64 1/2 x))))))
(/.f64 (*.f64 y (-.f64 x 1/2)) 1)
(*.f64 y (-.f64 x 1/2))
(/.f64 (.f64 y (-.f64 x 1/2)) (/.f64 (.f64 y (-.f64 x 1/2)) (*.f64 y (-.f64 x 1/2))))
(*.f64 y (-.f64 x 1/2))
(/.f64 (*.f64 y (-.f64 1/2 x)) -1)
(neg.f64 (*.f64 y (-.f64 1/2 x)))
(*.f64 (-.f64 1/2 x) (neg.f64 y))
(*.f64 (neg.f64 y) (-.f64 1/2 x))
(/.f64 (-.f64 (*.f64 y (+.f64 x x)) y) 2)
(/.f64 (-.f64 y (*.f64 y (+.f64 x x))) -2)
(/.f64 (*.f64 y (+.f64 -1 (+.f64 x x))) 2)
(/.f64 (-.f64 y (*.f64 y (+.f64 x x))) -2)
(/.f64 (-.f64 (*.f64 y (+.f64 x x)) y) 2)
(/.f64 (*.f64 y (+.f64 -1 (+.f64 x x))) 2)
(pow.f64 (*.f64 y (-.f64 x 1/2)) 1)
(*.f64 y (-.f64 x 1/2))
(neg.f64 (*.f64 y (-.f64 1/2 x)))
(*.f64 (-.f64 1/2 x) (neg.f64 y))
(*.f64 (neg.f64 y) (-.f64 1/2 x))
(-.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 0)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(-.f64 0 (neg.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (/.f64 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (/.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))) (.f64 (.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000))) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(/.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(/.f64 (+.f64 (-.f64 (*.f64 y (+.f64 x x)) y) 918938533204673/500000000000000) 2)
(/.f64 (+.f64 (*.f64 y (+.f64 -1 (+.f64 x x))) 918938533204673/500000000000000) 2)
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)) 2) -2)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(pow.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) 1)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(neg.f64 (neg.f64 (+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)

eval79.0ms (1.7%)

Compiler: Compiled 4682 to 3143 computations (32.9% saved)

prune37.0ms (0.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	243	6	249
Fresh	0	0	0
Picked	0	1	1
Done	2	3	5
Total	245	10	255

Error

Counts

255 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.4b	(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
✓	0.0b	(+.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 x 1/2))) 918938533204673/1000000000000000)
▶	18.7b	(+.f64 (+.f64 (neg.f64 x) (*.f64 y x)) 918938533204673/1000000000000000)
▶	18.7b	(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
✓	20.4b	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
✓	29.2b	(+.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)
▶	28.1b	(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
▶	35.9b	(*.f64 y (-.f64 x 1/2))
▶	54.0b	(*.f64 y x)
	47.2b	918938533204673/1000000000000000

Compiler

Compiled 116 to 87 computations (25% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
✓	0.0b	(*.f64 (-.f64 y 1) x)

Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 33

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
0.0ms	y	@	0	(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
0.0ms	x	@	-inf	(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
0.0ms	y	@	0	(*.f64 (-.f64 y 1) x)
0.0ms	y	@	inf	(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)

rewrite77.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1890×	`rational_best-5`
1888×	`rational_best-4`
1888×	`rational_best-2`
1888×	`rational_best-3`
1888×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	74	32
2	224	32
3	891	32
4	3843	32

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

Inputs
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))) (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (*.f64 (/.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (/.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))) (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)))))

simplify162.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1282×	`rational_best-simplify-78`
1118×	`rational_best-simplify-2`
588×	`rational_best-simplify-80`
558×	`rational_best-simplify-49`
558×	`rational_best-simplify-129`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	1216
1	111	906
2	522	906
3	2253	906
4	5498	906

Stop Event

1×	node limit

Counts

58 → 41

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(*.f64 y x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(*.f64 y x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
918938533204673/1000000000000000
(*.f64 (-.f64 y 1) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(*.f64 (-.f64 y 1) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 (*.f64 (+.f64 y -1) x) 0)
(+.f64 0 (*.f64 (+.f64 y -1) x))
(-.f64 (*.f64 (+.f64 y -1) x) 0)
(/.f64 (*.f64 (+.f64 y -1) x) 1)
(/.f64 (.f64 (+.f64 y -1) x) (/.f64 (.f64 (+.f64 y -1) x) (*.f64 (+.f64 y -1) x)))
(/.f64 (*.f64 (+.f64 y -1) (+.f64 x x)) 2)
(pow.f64 (*.f64 (+.f64 y -1) x) 1)
(-.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 0)
(.f64 1 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))
(.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)
(.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))
(.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))))
(.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))))
(.f64 (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))
(.f64 (/.f64 1 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))
(.f64 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))
(.f64 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (.f64 (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))
(/.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)
(/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 2) 2)
(pow.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 (*.f64 -1 x) 918938533204673/1000000000000000)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(*.f64 y x)
(*.f64 x y)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(*.f64 y x)
(*.f64 x y)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
918938533204673/1000000000000000
(*.f64 (-.f64 y 1) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(*.f64 (-.f64 y 1) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 (*.f64 (+.f64 y -1) x) 0)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 0 (*.f64 (+.f64 y -1) x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 (+.f64 y -1) x) 0)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(/.f64 (*.f64 (+.f64 y -1) x) 1)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(/.f64 (.f64 (+.f64 y -1) x) (/.f64 (.f64 (+.f64 y -1) x) (*.f64 (+.f64 y -1) x)))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(/.f64 (*.f64 (+.f64 y -1) (+.f64 x x)) 2)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(pow.f64 (*.f64 (+.f64 y -1) x) 1)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(-.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 0)
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 1 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (/.f64 1 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (.f64 (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(/.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 2) 2)
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(pow.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)
(+.f64 (+.f64 (.f64 -1 x) (.f64 x y)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))

localize3.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize5.0ms (0.1%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (neg.f64 x) (*.f64 y x)) 918938533204673/1000000000000000)
✓	0.0b	(+.f64 (neg.f64 x) (*.f64 y x))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (neg.f64 x) (*.f64 y x))
0.0ms	x	@	0	(+.f64 (neg.f64 x) (*.f64 y x))
0.0ms	x	@	-inf	(+.f64 (neg.f64 x) (*.f64 y x))
0.0ms	y	@	inf	(+.f64 (neg.f64 x) (*.f64 y x))
0.0ms	x	@	-inf	(+.f64 (+.f64 (neg.f64 x) (*.f64 y x)) 918938533204673/1000000000000000)

rewrite99.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`rational_best-simplify-57`
690×	`rational_best-simplify-80`
572×	`rational_best-simplify-44`
512×	`rational_best-5`
510×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	88	32
2	288	32
3	1137	32
4	4929	32

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(+.f64 (neg.f64 x) (*.f64 y x))
(+.f64 (+.f64 (neg.f64 x) (*.f64 y x)) 918938533204673/1000000000000000)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (*.f64 (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))) (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))))

simplify188.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1260×	`rational_best-simplify-44`
1068×	`rational_best-simplify-80`
1010×	`rational_best-simplify-132`
908×	`rational_best-simplify-78`
848×	`rational_best-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	142	1710
1	329	1694
2	1968	1694
3	3263	1694
4	5567	1694

Stop Event

1×	node limit

Counts

108 → 81

Calls

Call 1

Inputs
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
918938533204673/1000000000000000
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(*.f64 (-.f64 y 1) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (*.f64 x (+.f64 y -1)) 0)
(-.f64 0 (neg.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(.f64 x (.f64 (+.f64 y -1) (/.f64 x x)))
(.f64 x (.f64 (+.f64 y -1) (*.f64 x (/.f64 1 x))))
(.f64 x (.f64 (/.f64 1 (.f64 x (+.f64 y -1))) (.f64 (*.f64 x (+.f64 y -1)) (+.f64 y -1))))
(.f64 (.f64 x (+.f64 y -1)) 1)
(.f64 (.f64 x (+.f64 y -1)) (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))))
(.f64 (.f64 x (+.f64 y -1)) (.f64 x (.f64 (/.f64 1 (*.f64 x (+.f64 y -1))) (+.f64 y -1))))
(.f64 (.f64 x (+.f64 y -1)) (/.f64 1 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))))
(.f64 1 (.f64 x (+.f64 y -1)))
(.f64 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 x (+.f64 y -1)))
(*.f64 (+.f64 y -1) x)
(.f64 (/.f64 1 x) (.f64 (+.f64 y -1) (*.f64 x x)))
(.f64 (/.f64 1 x) (+.f64 (.f64 x (neg.f64 x)) (.f64 x (.f64 x y))))
(.f64 (.f64 x x) (*.f64 (+.f64 y -1) (/.f64 1 x)))
(.f64 (/.f64 1 (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1))))
(.f64 (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (/.f64 1 (*.f64 x (+.f64 y -1))))
(.f64 (.f64 x (.f64 (/.f64 1 (.f64 x (+.f64 y -1))) (+.f64 y -1))) (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 1 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 x (+.f64 y -1)))
(.f64 (/.f64 1 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 (.f64 x (+.f64 y -1)) (.f64 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))))))
(.f64 (/.f64 (/.f64 1 (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))))
(.f64 (/.f64 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1))))
(.f64 (/.f64 (.f64 x (.f64 (/.f64 1 (.f64 x (+.f64 y -1))) (+.f64 y -1))) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))))
(.f64 (/.f64 (/.f64 (/.f64 1 (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))))) (.f64 (.f64 (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1))))))
(.f64 (/.f64 (/.f64 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))))
(.f64 (/.f64 (/.f64 (.f64 x (.f64 (/.f64 1 (.f64 x (+.f64 y -1))) (+.f64 y -1))) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1))))
(/.f64 (*.f64 x (+.f64 y -1)) 1)
(/.f64 (.f64 x (+.f64 y -1)) (/.f64 (.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1))))
(/.f64 (.f64 (.f64 x (+.f64 y -1)) 2) 2)
(/.f64 (.f64 (neg.f64 (.f64 x (+.f64 y -1))) 2) -2)
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(neg.f64 (neg.f64 (*.f64 x (+.f64 y -1))))
(-.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 0)
(-.f64 0 (neg.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)
(.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))
(.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))
(.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))
(.f64 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))
(.f64 (/.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (.f64 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))) (.f64 (.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)
(/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(/.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 2) 2)
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) 2) -2)
(pow.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)
(neg.f64 (neg.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))

Outputs
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 (+.f64 1 (.f64 y -1)) (neg.f64 x))
(*.f64 (+.f64 1 (neg.f64 y)) (neg.f64 x))
(*.f64 x (neg.f64 (+.f64 1 (neg.f64 y))))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 (+.f64 1 (.f64 y -1)) (neg.f64 x))
(*.f64 (+.f64 1 (neg.f64 y)) (neg.f64 x))
(*.f64 x (neg.f64 (+.f64 1 (neg.f64 y))))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 (+.f64 1 (.f64 y -1)) (neg.f64 x))
(*.f64 (+.f64 1 (neg.f64 y)) (neg.f64 x))
(*.f64 x (neg.f64 (+.f64 1 (neg.f64 y))))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 (+.f64 1 (.f64 y -1)) (neg.f64 x))
(*.f64 (+.f64 1 (neg.f64 y)) (neg.f64 x))
(*.f64 x (neg.f64 (+.f64 1 (neg.f64 y))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
918938533204673/1000000000000000
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 (+.f64 1 (.f64 y -1)) (neg.f64 x))
(*.f64 (+.f64 1 (neg.f64 y)) (neg.f64 x))
(*.f64 x (neg.f64 (+.f64 1 (neg.f64 y))))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 (.f64 (+.f64 1 (.f64 y -1)) (neg.f64 x)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (+.f64 1 (neg.f64 y)) (neg.f64 x)) 918938533204673/1000000000000000)
(+.f64 (*.f64 x (neg.f64 (+.f64 1 (neg.f64 y)))) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 (.f64 (+.f64 1 (.f64 y -1)) (neg.f64 x)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (+.f64 1 (neg.f64 y)) (neg.f64 x)) 918938533204673/1000000000000000)
(+.f64 (*.f64 x (neg.f64 (+.f64 1 (neg.f64 y)))) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 (.f64 (+.f64 1 (.f64 y -1)) (neg.f64 x)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (+.f64 1 (neg.f64 y)) (neg.f64 x)) 918938533204673/1000000000000000)
(+.f64 (*.f64 x (neg.f64 (+.f64 1 (neg.f64 y)))) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
(-.f64 (*.f64 x (+.f64 y -1)) 0)
(*.f64 x (+.f64 y -1))
(-.f64 0 (neg.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 y -1))
(.f64 x (.f64 (+.f64 y -1) (/.f64 x x)))
(.f64 (+.f64 y -1) (.f64 x (/.f64 x x)))
(.f64 x (.f64 (+.f64 y -1) (*.f64 x (/.f64 1 x))))
(*.f64 x (+.f64 y -1))
(.f64 x (.f64 (/.f64 1 (.f64 x (+.f64 y -1))) (.f64 (*.f64 x (+.f64 y -1)) (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(.f64 (.f64 x (+.f64 y -1)) 1)
(*.f64 x (+.f64 y -1))
(.f64 (.f64 x (+.f64 y -1)) (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(.f64 (.f64 x (+.f64 y -1)) (.f64 x (.f64 (/.f64 1 (*.f64 x (+.f64 y -1))) (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(.f64 (.f64 x (+.f64 y -1)) (/.f64 1 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))))
(*.f64 x (+.f64 y -1))
(.f64 1 (.f64 x (+.f64 y -1)))
(*.f64 x (+.f64 y -1))
(.f64 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 x (+.f64 y -1)))
(*.f64 x (+.f64 y -1))
(*.f64 (+.f64 y -1) x)
(*.f64 x (+.f64 y -1))
(.f64 (/.f64 1 x) (.f64 (+.f64 y -1) (*.f64 x x)))
(*.f64 x (+.f64 y -1))
(.f64 (/.f64 1 x) (+.f64 (.f64 x (neg.f64 x)) (.f64 x (.f64 x y))))
(*.f64 x (+.f64 y -1))
(.f64 (.f64 x x) (*.f64 (+.f64 y -1) (/.f64 1 x)))
(*.f64 x (+.f64 y -1))
(.f64 (/.f64 1 (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(.f64 (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (/.f64 1 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(.f64 (.f64 x (.f64 (/.f64 1 (.f64 x (+.f64 y -1))) (+.f64 y -1))) (*.f64 x (+.f64 y -1)))
(*.f64 x (+.f64 y -1))
(.f64 (/.f64 1 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 x (+.f64 y -1)))
(*.f64 x (+.f64 y -1))
(.f64 (/.f64 1 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 (.f64 x (+.f64 y -1)) (.f64 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))))))
(*.f64 x (+.f64 y -1))
(.f64 (/.f64 (/.f64 1 (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))))
(*.f64 x (+.f64 y -1))
(.f64 (/.f64 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(.f64 (/.f64 (.f64 x (.f64 (/.f64 1 (.f64 x (+.f64 y -1))) (+.f64 y -1))) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(.f64 (/.f64 (/.f64 (/.f64 1 (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))))) (.f64 (.f64 (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1))))))
(*.f64 x (+.f64 y -1))
(.f64 (/.f64 (/.f64 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))))
(*.f64 x (+.f64 y -1))
(.f64 (/.f64 (/.f64 (.f64 x (.f64 (/.f64 1 (.f64 x (+.f64 y -1))) (+.f64 y -1))) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 (.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))
(*.f64 x (+.f64 y -1))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))) (.f64 x (+.f64 y -1))) (.f64 (.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(/.f64 (*.f64 x (+.f64 y -1)) 1)
(*.f64 x (+.f64 y -1))
(/.f64 (.f64 x (+.f64 y -1)) (/.f64 (.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(/.f64 (.f64 (.f64 x (+.f64 y -1)) 2) 2)
(*.f64 x (+.f64 y -1))
(/.f64 (.f64 (neg.f64 (.f64 x (+.f64 y -1))) 2) -2)
(*.f64 x (+.f64 y -1))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(*.f64 x (+.f64 y -1))
(neg.f64 (neg.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(-.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 0)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(-.f64 0 (neg.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (.f64 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))) (.f64 (.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))) (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(/.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 2) 2)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)) 2) -2)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(pow.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(neg.f64 (neg.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))

eval40.0ms (0.8%)

Compiler: Compiled 2448 to 1768 computations (27.8% saved)

prune22.0ms (0.5%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	131	5	136
Fresh	0	1	1
Picked	1	0	1
Done	3	5	8
Total	135	11	146

Error

Counts

146 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.7b	(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
▶	28.1b	(-.f64 918938533204673/1000000000000000 x)
✓	0.0b	(+.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 x 1/2))) 918938533204673/1000000000000000)
✓	20.4b	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
✓	29.2b	(+.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)
▶	36.0b	(+.f64 (.f64 -1/2 y) (.f64 y x))
▶	34.2b	(*.f64 (-.f64 y 1) x)
✓	35.9b	(*.f64 y (-.f64 x 1/2))
✓	54.0b	(*.f64 y x)
▶	44.7b	(*.f64 -1/2 y)
	47.2b	918938533204673/1000000000000000

Compiler

Compiled 113 to 83 computations (26.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y x) 918938533204673/1000000000000000)
✓	0.0b	(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)

Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
0.0ms	x	@	inf	(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
0.0ms	x	@	-inf	(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
0.0ms	y	@	inf	(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
0.0ms	y	@	-inf	(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)

rewrite79.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`rational_best-5`
1890×	`rational_best-4`
1890×	`rational_best-2`
1890×	`rational_best-3`
1890×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	67	32
2	216	32
3	885	32
4	3849	32

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
(+.f64 (*.f64 y x) 918938533204673/1000000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 (*.f64 y x) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) (-.f64 0 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (/.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (*.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (/.f64 1 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (/.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)) (*.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)) (/.f64 1 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (/.f64 1 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))) (*.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)) (/.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)) (*.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))) (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)) (*.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)) (*.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (/.f64 1 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)) (*.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (/.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 x (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (/.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (*.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y x) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y x) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) (+.f64 (*.f64 y x) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y x) 918938533204673/1000000000000000))) (+.f64 (*.f64 y x) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000))) (*.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (*.f64 (/.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) (/.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y x) 918938533204673/1000000000000000))) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) (*.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (/.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) 1)))))

simplify192.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1464×	`rational_best-simplify-54`
948×	`rational_best-simplify-24`
930×	`rational_best-simplify-2`
930×	`rational_best-simplify-29`
914×	`rational_best-simplify-78`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	1458
1	193	1442
2	1039	1442
3	3781	1442
4	6380	1442

Stop Event

1×	node limit

Counts

92 → 67

Calls

Call 1

Inputs
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
918938533204673/1000000000000000
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(*.f64 (-.f64 y 1) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(*.f64 y x)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(*.f64 y x)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(*.f64 y x)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(*.f64 y x)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (neg.f64 x))
(+.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) 0)
(+.f64 0 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))
(+.f64 (neg.f64 x) (+.f64 (*.f64 y x) 918938533204673/1000000000000000))
(+.f64 (+.f64 x (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) (-.f64 0 (+.f64 x x)))
(.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) 1)
(.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)))
(.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (/.f64 1 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))))
(.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))))
(.f64 1 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))
(.f64 (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))
(.f64 (-.f64 x (+.f64 (.f64 y x) 918938533204673/1000000000000000)) -1)
(.f64 (/.f64 1 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))
(.f64 (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (/.f64 1 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))
(.f64 (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (/.f64 1 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))
(.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))) (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (.f64 (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)))))
(.f64 (/.f64 (/.f64 1 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))) (.f64 (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))))
(.f64 (/.f64 (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))
(.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (/.f64 1 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)))
(/.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) 1)
(/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))
(/.f64 (-.f64 x (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) -1)
(/.f64 (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) 2) 2)
(/.f64 (.f64 (-.f64 x (+.f64 (.f64 y x) 918938533204673/1000000000000000)) 2) -2)
(pow.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) 1)
(neg.f64 (-.f64 x (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) 0)
(.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) 1)
(.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)))
(.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y x) 918938533204673/1000000000000000))))
(.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000))))
(.f64 1 (+.f64 (.f64 y x) 918938533204673/1000000000000000))
(.f64 (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (+.f64 (.f64 y x) 918938533204673/1000000000000000))
(.f64 (/.f64 1 (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))
(.f64 (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))
(.f64 (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 y x) 918938533204673/1000000000000000))) (+.f64 (*.f64 y x) 918938533204673/1000000000000000))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000))) (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 y x) 918938533204673/1000000000000000))) (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)))
(/.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) 1)
(/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))
(/.f64 (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) 2) 2)
(pow.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) 1)

Outputs
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(*.f64 y x)
(*.f64 x y)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(*.f64 y x)
(*.f64 x y)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
918938533204673/1000000000000000
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 -1 (.f64 x (+.f64 1 (*.f64 y -1))))
(*.f64 (+.f64 1 (neg.f64 y)) (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 x (+.f64 1 (*.f64 y -1)))))
(+.f64 918938533204673/1000000000000000 (*.f64 (+.f64 1 (neg.f64 y)) (neg.f64 x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 x (+.f64 1 (*.f64 y -1)))))
(+.f64 918938533204673/1000000000000000 (*.f64 (+.f64 1 (neg.f64 y)) (neg.f64 x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 x (+.f64 1 (*.f64 y -1)))))
(+.f64 918938533204673/1000000000000000 (*.f64 (+.f64 1 (neg.f64 y)) (neg.f64 x)))
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(+.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (neg.f64 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) 0)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 0 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (neg.f64 x) (+.f64 (*.f64 y x) 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (+.f64 x (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) (-.f64 0 (+.f64 x x)))
(+.f64 (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x y) x)) (neg.f64 (+.f64 x x)))
(+.f64 (+.f64 x (*.f64 x y)) (+.f64 918938533204673/1000000000000000 (neg.f64 (+.f64 x x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (neg.f64 (+.f64 x x)) (+.f64 x (*.f64 x y))))
(.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) 1)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (/.f64 1 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 1 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (-.f64 x (+.f64 (.f64 y x) 918938533204673/1000000000000000)) -1)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 1 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (/.f64 1 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (/.f64 1 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))) (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (.f64 (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)))))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 (/.f64 1 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))) (.f64 (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (/.f64 1 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x))) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)) (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(/.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) 1)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (/.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(/.f64 (-.f64 x (+.f64 (*.f64 y x) 918938533204673/1000000000000000)) -1)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(/.f64 (.f64 (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x) 2) 2)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(/.f64 (.f64 (-.f64 x (+.f64 (.f64 y x) 918938533204673/1000000000000000)) 2) -2)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(pow.f64 (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x) 1)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(neg.f64 (-.f64 x (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) 0)
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (*.f64 y x) 918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (/.f64 1 (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(.f64 1 (+.f64 (.f64 y x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(.f64 (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (+.f64 (.f64 y x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(.f64 (/.f64 1 (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(.f64 (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (/.f64 1 (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(.f64 (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 y x) 918938533204673/1000000000000000))) (+.f64 (*.f64 y x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000))) (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)))))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(.f64 (/.f64 (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (/.f64 1 (+.f64 (.f64 y x) 918938533204673/1000000000000000))) (+.f64 (.f64 y x) 918938533204673/1000000000000000)) (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 y x) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(/.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (/.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (*.f64 y x) 918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 x y))
(/.f64 (.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) 2) 2)
(/.f64 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 x y)) 2) 2)
(pow.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 x y))

localize3.0ms (0.1%)

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

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite75.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`rational_best-5`
1954×	`rational_best-4`
1954×	`rational_best-2`
1954×	`rational_best-3`
1954×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	68	13
2	222	13
3	931	13
4	4165	13

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify172.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1668×	`rational_best-simplify-132`
828×	`rational_best-simplify-2`
728×	`rational_best-simplify-43`
576×	`rational_best-simplify-50`
538×	`rational_best-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	588
1	163	572
2	395	572
3	1308	572
4	2420	572
5	5845	572

Stop Event

1×	node limit

Counts

42 → 38

Calls

Call 1

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

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

eval28.0ms (0.6%)

Compiler: Compiled 1662 to 943 computations (43.3% saved)

prune18.0ms (0.4%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	118	12	130

Error

Counts

130 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.7b	(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
✓	28.1b	(-.f64 918938533204673/1000000000000000 x)
✓	0.0b	(+.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 x 1/2))) 918938533204673/1000000000000000)
✓	20.4b	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
✓	29.2b	(+.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)
✓	36.0b	(+.f64 (.f64 -1/2 y) (.f64 y x))
✓	34.2b	(*.f64 (-.f64 y 1) x)
✓	35.9b	(*.f64 y (-.f64 x 1/2))
✓	54.0b	(*.f64 y x)
✓	44.7b	(*.f64 -1/2 y)
	43.6b	(neg.f64 x)
	47.2b	918938533204673/1000000000000000

Compiler

Compiled 82 to 61 computations (25.6% saved)

regimes42.0ms (0.9%)

Counts

18 → 1

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
(+.f64 (+.f64 (neg.f64 x) (*.f64 y x)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 x 1/2))) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 x 1/2))) 918938533204673/1000000000000000)

Calls

4 calls:

10.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
10.0ms	y
9.0ms	x
8.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)`
0.0b	1	`(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))`

Compiler

Compiled 137 to 86 computations (37.2% saved)

regimes50.0ms (1.1%)

Counts

16 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
(+.f64 (+.f64 (neg.f64 x) (*.f64 y x)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)

Calls

2 calls:

24.0ms	y
23.0ms	x

Results

Error	Segments	Branch
0.6b	3	`x`
0.6b	3	`y`

Compiler

Compiled 92 to 54 computations (41.3% saved)

bsearch30.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.6270355009683872e-14	1584.1441659636494
13.0ms	-69583321.02635711	-3287980.5030103265

Results

26.0ms

272×

body

256

valid

Compiler

Compiled 392 to 293 computations (25.3% saved)

regimes48.0ms (1%)

Counts

15 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)
(+.f64 (+.f64 (neg.f64 x) (*.f64 y x)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)

Calls

2 calls:

23.0ms	y
22.0ms	x

Results

Error	Segments	Branch
0.6b	3	`x`
0.6b	3	`y`

Compiler

Compiled 83 to 49 computations (41% saved)

bsearch31.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.6270355009683872e-14	1584.1441659636494
12.0ms	-69583321.02635711	-3287980.5030103265

Results

27.0ms

272×

body

256

valid

Compiler

Compiled 358 to 276 computations (22.9% saved)

regimes41.0ms (0.9%)

Counts

12 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)

Outputs
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)

Calls

2 calls:

20.0ms	y
19.0ms	x

Results

Error	Segments	Branch
0.6b	3	`x`
0.6b	3	`y`

Compiler

Compiled 60 to 38 computations (36.7% saved)

bsearch30.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.6270355009683872e-14	1584.1441659636494
12.0ms	-69583321.02635711	-3287980.5030103265

Results

26.0ms

272×

body

256

valid

Compiler

Compiled 358 to 286 computations (20.1% saved)

regimes40.0ms (0.8%)

Counts

11 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)

Outputs
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(*.f64 (-.f64 y 1) x)

Calls

2 calls:

20.0ms	y
19.0ms	x

Results

Error	Segments	Branch
0.8b	3	`x`
1.6b	3	`y`

Compiler

Compiled 53 to 33 computations (37.7% saved)

bsearch29.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	18573845252794.23	1380468744269548500.0
12.0ms	-69583321.02635711	-3287980.5030103265

Results

25.0ms	256×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 306 to 238 computations (22.2% saved)

regimes37.0ms (0.8%)

Counts

10 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (.f64 y x))

Outputs
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)
(*.f64 (-.f64 y 1) x)

Calls

2 calls:

17.0ms	y
17.0ms	x

Results

Error	Segments	Branch
1.4b	3	`x`
2.3b	3	`y`

Compiler

Compiled 46 to 28 computations (39.1% saved)

bsearch34.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.6270355009683872e-14	1584.1441659636494
16.0ms	-13483.902648957033	-0.0007474399249939495

Results

30.0ms

304×

body

256

valid

Compiler

Compiled 322 to 261 computations (18.9% saved)

regimes57.0ms (1.2%)

Counts

8 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)

Outputs
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))

Calls

2 calls:

39.0ms	x
16.0ms	y

Results

Error	Segments	Branch
12.3b	8	`x`
2.3b	3	`y`

Compiler

Compiled 34 to 21 computations (38.2% saved)

bsearch26.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	3.60284828567903e-6	2.40000059790771
11.0ms	-10.728901907373137	-0.9680474349981808

Results

22.0ms

240×

body

256

valid

Compiler

Compiled 228 to 179 computations (21.5% saved)

regimes53.0ms (1.1%)

Counts

6 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)

Outputs
(*.f64 -1/2 y)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1/2 y)

Calls

2 calls:

38.0ms	x
13.0ms	y

Results

Error	Segments	Branch
20.1b	9	`x`
10.9b	3	`y`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch30.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	3.60284828567903e-6	2.40000059790771
14.0ms	-98242.5010683151	-10.728901907373137

Results

26.0ms	272×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 222 to 184 computations (17.1% saved)

regimes55.0ms (1.2%)

Counts

4 → 8

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)

Outputs
(*.f64 -1/2 y)
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)
918938533204673/1000000000000000
(*.f64 -1/2 y)

Calls

2 calls:

27.0ms	y
27.0ms	x

Results

Error	Segments	Branch
22.2b	8	`x`
21.9b	8	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch85.0ms (1.8%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
15.0ms	8298.670508884637	256555.91223091935
17.0ms	2.5829282173065205e-74	3.34687888590215e-60
10.0ms	8.323455295473072e-149	1.2967472670375834e-147
11.0ms	8.610517621734382e-242	8.847401612903474e-241
8.0ms	-1.4220100438701375e-222	-4.155207988427688e-223
12.0ms	-6.036039506656557e-171	-2.3107806027587554e-172
10.0ms	-0.9680474349981808	-0.13397258984734942

Results

75.0ms	752×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 460 to 403 computations (12.4% saved)

regimes26.0ms (0.5%)

Accuracy

Total -33.7b remaining (-117.4%)

Threshold costs -33.7b (-117.4%)

Counts

2 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)

Outputs
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)

Calls

2 calls:

17.0ms	y
8.0ms	x

Results

Error	Segments	Branch
28.7b	3	`x`
39.3b	6	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch23.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	2.5053748794975625e-15	1.6270355009683872e-14
12.0ms	-69583321.02635711	-3287980.5030103265

Results

20.0ms

208×

body

256

valid

Compiler

Compiled 135 to 118 computations (12.6% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	595

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 x 1/2))) 918938533204673/1000000000000000)
(if (<=.f64 x -3300000) (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (if (<=.f64 x 5072854620270127/9223372036854775808) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)))
(if (<=.f64 x -3600000) (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (if (<=.f64 x 1224979098644775/72057594037927936) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))
(if (<=.f64 x -3600000) (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (if (<=.f64 x 7385903388887613/36028797018963968) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)))
(if (<=.f64 x -16500000) (.f64 (-.f64 y 1) x) (if (<=.f64 x 19000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 x -3602879701896397/4503599627370496) (.f64 (-.f64 y 1) x) (if (<=.f64 x 1/2) (+.f64 (.f64 y -1/2) 918938533204673/1000000000000000) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 y -3152519739159347/2251799813685248) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -110) (.f64 -1/2 y) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 -1/2 y)))
(if (<=.f64 y -8286623314361713/18014398509481984) (.f64 -1/2 y) (if (<=.f64 y -5982738351088065/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (neg.f64 x) (if (<=.f64 y -2995397108520247/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) 918938533204673/1000000000000000 (if (<=.f64 y 3183187135413193/30030067315218800919884630782037027445247038374198014146711597563050526250476926831789640794321325523394216076738821850476730762665208973047045843626559620640158907690363610309346513399556581649279919071671610504617321356178738468477058455548958390664298496) (neg.f64 x) (if (<=.f64 y 1169717586581231/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888) 918938533204673/1000000000000000 (if (<=.f64 y 6216540455122333/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (neg.f64 x) (if (<=.f64 y 8500) 918938533204673/1000000000000000 (.f64 -1/2 y))))))))
(if (<=.f64 x -3300000) (neg.f64 x) (if (<=.f64 x 2535301200456459/158456325028528675187087900672) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000

Outputs
(+.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 x 1/2))) 918938533204673/1000000000000000)
(if (<=.f64 x -3300000) (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (if (<=.f64 x 5072854620270127/9223372036854775808) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000) (-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) x)))
(if (<=.f64 x -3600000) (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (if (<=.f64 x 1224979098644775/72057594037927936) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) x)))
(if (<=.f64 x -3600000) (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (if (<=.f64 x 7385903388887613/36028797018963968) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)))
(if (<=.f64 x -16500000) (.f64 (-.f64 y 1) x) (if (<=.f64 x 19000000000000) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 x -3602879701896397/4503599627370496) (.f64 (-.f64 y 1) x) (if (<=.f64 x 1/2) (+.f64 (.f64 y -1/2) 918938533204673/1000000000000000) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 y -3152519739159347/2251799813685248) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -110) (.f64 -1/2 y) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 -1/2 y)))
(if (<=.f64 y -8286623314361713/18014398509481984) (.f64 -1/2 y) (if (<=.f64 y -5982738351088065/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (neg.f64 x) (if (<=.f64 y -2995397108520247/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) 918938533204673/1000000000000000 (if (<=.f64 y 3183187135413193/30030067315218800919884630782037027445247038374198014146711597563050526250476926831789640794321325523394216076738821850476730762665208973047045843626559620640158907690363610309346513399556581649279919071671610504617321356178738468477058455548958390664298496) (neg.f64 x) (if (<=.f64 y 1169717586581231/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888) 918938533204673/1000000000000000 (if (<=.f64 y 6216540455122333/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (neg.f64 x) (if (<=.f64 y 8500) 918938533204673/1000000000000000 (.f64 -1/2 y))))))))
(if (<=.f64 x -3300000) (neg.f64 x) (if (<=.f64 x 2535301200456459/158456325028528675187087900672) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000

Compiler

Compiled 264 to 187 computations (29.2% saved)

soundness161.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1410×	`rational_best-simplify-54`
1154×	`rational_best-simplify-44`
1082×	`rational_best-simplify-80`
976×	`rational_best-simplify-78`
916×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	2521
1	220	2495
2	447	2477
3	1916	2477
4	4849	2477

Stop Event

1×	node limit

Compiler

Compiled 45 to 33 computations (26.7% saved)

end107.0ms (2.2%)

Compiler: Compiled 244 to 164 computations (32.8% saved)

Details

analyze63.0ms (1.3%)

sample1.1s (22.2%)

preprocess18.0ms (0.4%)

simplify16.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.3%)

series3.0ms (0.1%)

rewrite94.0ms (2%)

simplify135.0ms (2.8%)

eval31.0ms (0.7%)

prune15.0ms (0.3%)

localize12.0ms (0.3%)

series3.0ms (0.1%)

rewrite97.0ms (2%)

simplify196.0ms (4.1%)

localize5.0ms (0.1%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite75.0ms (1.6%)

simplify210.0ms (4.4%)

localize10.0ms (0.2%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite98.0ms (2.1%)

simplify215.0ms (4.5%)

eval79.0ms (1.7%)

prune37.0ms (0.8%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite77.0ms (1.6%)

simplify162.0ms (3.4%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite99.0ms (2.1%)

simplify188.0ms (4%)

eval40.0ms (0.8%)

prune22.0ms (0.5%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite79.0ms (1.7%)

simplify192.0ms (4%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite75.0ms (1.6%)

simplify172.0ms (3.6%)

eval28.0ms (0.6%)

prune18.0ms (0.4%)

regimes42.0ms (0.9%)

regimes50.0ms (1.1%)

bsearch30.0ms (0.6%)

regimes48.0ms (1%)

bsearch31.0ms (0.6%)

regimes41.0ms (0.9%)

bsearch30.0ms (0.6%)

regimes40.0ms (0.8%)

bsearch29.0ms (0.6%)

regimes37.0ms (0.8%)

bsearch34.0ms (0.7%)

regimes57.0ms (1.2%)

bsearch26.0ms (0.5%)

regimes53.0ms (1.1%)

bsearch30.0ms (0.6%)

regimes55.0ms (1.2%)

bsearch85.0ms (1.8%)

regimes26.0ms (0.5%)

bsearch23.0ms (0.5%)

simplify10.0ms (0.2%)

soundness161.0ms (3.4%)

end107.0ms (2.2%)

Profiling