Details

analyze70.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
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)

sample1.7s (27.3%)

Results

1.6s	8256×	body	256	valid
53.0ms	281×	body	256	infinite

Bogosity

preprocess33.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

8×	`rational.json-simplify-2`
8×	`rational.json-simplify-1`
4×	`rational.json-simplify-16`

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)

simplify30.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-2`
4×	`rational.json-simplify-1`
2×	`rational.json-simplify-16`

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)

prune2.0ms (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)

localize32.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 26 computations (31.6% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
1.0ms	x	@	inf	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
1.0ms	x	@	0	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
1.0ms	y	@	inf	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
1.0ms	x	@	-inf	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

rewrite148.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`rational.json-simplify-2`
870×	`rational.json-simplify-79`
668×	`rational.json-simplify-49`
590×	`rational.json-simplify-47`
584×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	101	44
2	299	44
3	1063	44
4	4055	44

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)) -918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 x (+.f64 y -1)) -918938533204673/1000000000000000) (.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) 1)) 81061466795327/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 918938533204673/1000000000000000 (-.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (/.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))) (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1)))) (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1)))) (/.f64 (/.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))) (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1)))))) (/.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1)))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (/.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.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 (.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 0 (-.f64 -1 (.f64 x (+.f64 y -1)))) 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 1 y)) (.f64 x (-.f64 1 y))))))) (#(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))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 y -1)) (+.f64 (*.f64 y 1/2) -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)) -918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y 1/2) (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (-.f64 (*.f64 y 1/2) (*.f64 x (+.f64 y -1))) -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x (+.f64 y -1)) -918938533204673/1000000000000000) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 (*.f64 y 1/2) (*.f64 x (+.f64 y -1))) 1)) 81061466795327/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 918938533204673/1000000000000000 (-.f64 (-.f64 (*.f64 y 1/2) (*.f64 x (+.f64 y -1))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (/.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))) (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))) (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1)))) (/.f64 1 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))) (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1)))) (/.f64 (/.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))) (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))) (*.f64 (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))) (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (*.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (*.f64 (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))) (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1)))))) (/.f64 (/.f64 1 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))) (*.f64 (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))) (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))) (*.f64 (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))) (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))))) (*.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (*.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (*.f64 (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))) (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (*.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (*.f64 (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))) (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1)))))) (*.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (*.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (*.f64 (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))) (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))) (*.f64 (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))) (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))))) (*.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (*.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (*.f64 (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))) (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (/.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000) (*.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 (*.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 0 (-.f64 -1 (*.f64 x (+.f64 y -1)))) 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 1 y)) (*.f64 x (-.f64 1 y))))))) (#(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))))))))

simplify291.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1318×	`rational.json-simplify-111`
856×	`rational.json-simplify-1`
678×	`rational.json-simplify-55`
608×	`rational.json-simplify-104`
530×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1937
1	211	1893
2	455	1893
3	1554	1813
4	4343	1813
5	8000	1813

Stop Event

1×	node limit

Counts

83 → 67

Calls

Call 1

Inputs
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -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 (-.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 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
(-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))
(-.f64 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)) -918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))
(-.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) 0)
(-.f64 0 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))))
(-.f64 0 (+.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -918938533204673/1000000000000000))
(-.f64 (-.f64 (.f64 x (+.f64 y -1)) -918938533204673/1000000000000000) (.f64 y 1/2))
(-.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (.f64 y 1/2))
(-.f64 (-.f64 0 (-.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) 1)) 81061466795327/1000000000000000)
(-.f64 (-.f64 0 (-.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))) 1)
(-.f64 (-.f64 918938533204673/1000000000000000 (-.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) 1)) 1)
(.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)))
(.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) 1)
(.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (/.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))))
(.f64 (/.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))) (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)))
(.f64 (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1)))) (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))))
(.f64 (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1)))) (/.f64 (/.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))) (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))))
(.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1)))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1)))))) (/.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1))))))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (*.f64 x (+.f64 y -1)))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1)))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))))))))
(/.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) 1)
(/.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (/.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))))
(pow.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) 1)
(neg.f64 (-.f64 (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000) (.f64 x (+.f64 y -1))))
(+.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 0 (-.f64 -1 (*.f64 x (+.f64 y -1)))) 1)
(/.f64 (*.f64 x (+.f64 y -1)) 1)
(/.f64 (.f64 x (+.f64 y -1)) (/.f64 (.f64 x (-.f64 1 y)) (*.f64 x (-.f64 1 y))))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(neg.f64 (neg.f64 (*.f64 x (+.f64 y -1))))

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

eval45.0ms (0.7%)

Compiler: Compiled 1233 to 912 computations (26% saved)

prune26.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	6	68

Error

Counts

68 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(-.f64 (-.f64 0 (-.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))) 1)
▶	29.4b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
	18.8b	(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
▶	26.8b	(+.f64 918938533204673/1000000000000000 (neg.f64 x))
▶	33.5b	(*.f64 (-.f64 y 1) x)
▶	36.0b	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 110 to 86 computations (21.8% saved)

localize55.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 y -1))
✓	0.0b	(-.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))
✓	0.3b	(-.f64 (-.f64 0 (-.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))) 1)

New

Error

Program

✓

0.0b

(*.f64 x (+.f64 y -1))

✓

0.0b

(-.f64 -1918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))

✓

0.3b

(-.f64 (-.f64 0 (-.f64 -1918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))) 1)

Compiler

Compiled 68 to 50 computations (26.5% saved)

series4.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(-.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))
0.0ms	y	@	inf	(-.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))
0.0ms	x	@	0	(-.f64 (-.f64 0 (-.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))) 1)
0.0ms	x	@	0	(-.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))
0.0ms	x	@	-inf	(-.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))

rewrite187.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`rational.json-simplify-49`
852×	`rational.json-simplify-47`
654×	`rational.json-5`
652×	`exponential.json-3`
652×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	81
1	150	75
2	441	75
3	1477	75
4	5635	75

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))) 1)
(-.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))
(*.f64 x (+.f64 y -1))

Inputs

(-.f64 (-.f64 0 (-.f64 -1918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))) 1)

(-.f64 -1918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))

(*.f64 x (+.f64 y -1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) 81061466795327/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) 1)) 1918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) 81061466795327/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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Outputs

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

simplify325.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1752×	`rational.json-simplify-47`
920×	`rational.json-simplify-2`
834×	`rational.json-simplify-41`
796×	`rational.json-simplify-49`
750×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	187	4467
1	368	4375
2	871	4231
3	2551	4015
4	7993	4015

Stop Event

1×	node limit

Counts

149 → 147

Calls

Call 1

Inputs
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(-.f64 (*.f64 1/2 y) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 (-.f64 1 y) x)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 (-.f64 1 y) x)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 (-.f64 1 y) x)) 1918938533204673/1000000000000000)
(*.f64 (-.f64 1 y) x)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 (-.f64 1 y) x)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 (-.f64 1 y) x)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 (-.f64 1 y) x)) 1918938533204673/1000000000000000)
(.f64 -1 (.f64 (-.f64 y 1) x))
(-.f64 (+.f64 (.f64 1/2 y) (.f64 -1 (*.f64 (-.f64 y 1) x))) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 -1 (*.f64 (-.f64 y 1) x))) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 -1 (*.f64 (-.f64 y 1) x))) 1918938533204673/1000000000000000)
(.f64 -1 (+.f64 1918938533204673/1000000000000000 (.f64 -1 x)))
(+.f64 (.f64 -1 (+.f64 1918938533204673/1000000000000000 (.f64 -1 x))) (*.f64 y (-.f64 1/2 x)))
(+.f64 (.f64 -1 (+.f64 1918938533204673/1000000000000000 (.f64 -1 x))) (*.f64 y (-.f64 1/2 x)))
(+.f64 (.f64 -1 (+.f64 1918938533204673/1000000000000000 (.f64 -1 x))) (*.f64 y (-.f64 1/2 x)))
(*.f64 y (-.f64 1/2 x))
(+.f64 (.f64 -1 (+.f64 1918938533204673/1000000000000000 (.f64 -1 x))) (*.f64 y (-.f64 1/2 x)))
(+.f64 (.f64 -1 (+.f64 1918938533204673/1000000000000000 (.f64 -1 x))) (*.f64 y (-.f64 1/2 x)))
(+.f64 (.f64 -1 (+.f64 1918938533204673/1000000000000000 (.f64 -1 x))) (*.f64 y (-.f64 1/2 x)))
(.f64 y (+.f64 1/2 (.f64 -1 x)))
(+.f64 (.f64 y (+.f64 1/2 (.f64 -1 x))) (.f64 -1 (+.f64 1918938533204673/1000000000000000 (.f64 -1 x))))
(+.f64 (.f64 y (+.f64 1/2 (.f64 -1 x))) (.f64 -1 (+.f64 1918938533204673/1000000000000000 (.f64 -1 x))))
(+.f64 (.f64 y (+.f64 1/2 (.f64 -1 x))) (.f64 -1 (+.f64 1918938533204673/1000000000000000 (.f64 -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 (-.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 0 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)))
(+.f64 -1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))
(+.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) -1)
(+.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) 81061466795327/1000000000000000)))
(+.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) 0)
(+.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) 1)) 1918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) 81061466795327/1000000000000000)) 1)
(+.f64 1918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) 1)))
(.f64 -1 (+.f64 (-.f64 (.f64 y 1/2) (*.f64 x (+.f64 y -1))) -918938533204673/1000000000000000))
(.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (*.f64 y 1/2) -918938533204673/1000000000000000)))
(.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (*.f64 y 1/2) -918938533204673/1000000000000000)) 1)
(.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (/.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (*.f64 y 1/2) -918938533204673/1000000000000000))))
(.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (/.f64 (.f64 -1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (+.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -918938533204673/1000000000000000)))
(.f64 (/.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (*.f64 y 1/2) -918938533204673/1000000000000000)))
(.f64 (+.f64 (-.f64 (.f64 y 1/2) (*.f64 x (+.f64 y -1))) -918938533204673/1000000000000000) -1)
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (*.f64 y 1/2) -918938533204673/1000000000000000))) 1))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (/.f64 -1 (+.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -918938533204673/1000000000000000)))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (/.f64 (/.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))))
(.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)))) (/.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (*.f64 y 1/2) -918938533204673/1000000000000000)))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)))) (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) 1) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)))) (/.f64 (/.f64 -1 (+.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -918938533204673/1000000000000000)) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (*.f64 y 1/2) -918938533204673/1000000000000000)))))
(.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)))) (.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)))) (.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))))))
(/.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) 1)
(/.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (/.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000))))
(/.f64 (+.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -918938533204673/1000000000000000) -1)
(pow.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y 1/2) -918938533204673/1000000000000000)) 1)
(neg.f64 (+.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -918938533204673/1000000000000000))
(neg.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (+.f64 (.f64 y 1/2) 1) (.f64 x (+.f64 y -1)))))
(+.f64 0 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))))
(+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))
(+.f64 -1 (+.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -918938533204673/1000000000000000))
(+.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))) 0)
(+.f64 1 (-.f64 (.f64 y 1/2) (-.f64 (.f64 x (+.f64 y -1)) -2918938533204673/1000000000000000)))
(+.f64 (+.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -918938533204673/1000000000000000) -1)
(+.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -1918938533204673/1000000000000000)
(+.f64 -918938533204673/1000000000000000 (-.f64 -1 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2))))
(+.f64 (-.f64 (.f64 y 1/2) (-.f64 (.f64 x (+.f64 y -1)) -2918938533204673/1000000000000000)) 1)
(+.f64 (-.f64 -1 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2))) -918938533204673/1000000000000000)
(.f64 -1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (*.f64 y 1/2))))
(.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (*.f64 x (+.f64 y -1)))) 1)
(.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))) (/.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))) (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (*.f64 x (+.f64 y -1))))))
(.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (*.f64 y 1/2))) -1)
(.f64 1 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (*.f64 x (+.f64 y -1)))))
(.f64 (/.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))) (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))) (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (*.f64 x (+.f64 y -1)))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))) (/.f64 1 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))) (neg.f64 (/.f64 -1 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))) (neg.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))) (.f64 (/.f64 1 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (*.f64 x (+.f64 y -1))))) 1))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))) (/.f64 (/.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))) (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))) (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))) (/.f64 -1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))))
(.f64 (/.f64 1 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))))) (/.f64 (/.f64 1 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (*.f64 y 1/2))))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))))) (/.f64 (neg.f64 (/.f64 -1 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (*.f64 y 1/2))))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))))) (/.f64 (neg.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (*.f64 y 1/2))))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))))) (/.f64 (.f64 (/.f64 1 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))) 1) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))))))
(/.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))) 1)
(/.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))) (/.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))) (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))))
(/.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) -1)
(pow.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))) 1)
(neg.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))
(neg.f64 (+.f64 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)) 1918938533204673/1000000000000000))
(+.f64 0 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 x (+.f64 y -1)) 0)
(+.f64 1 (+.f64 -1 (*.f64 x (+.f64 y -1))))
(+.f64 (+.f64 -1 (*.f64 x (+.f64 y -1))) 1)
(-.f64 0 (neg.f64 (*.f64 x (+.f64 y -1))))
(-.f64 (*.f64 x (+.f64 y -1)) 0)
(-.f64 (+.f64 -1 (*.f64 x (+.f64 y -1))) -1)
(-.f64 (+.f64 1 (*.f64 x (+.f64 y -1))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 x (+.f64 y -1)))) 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))))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(neg.f64 (neg.f64 (*.f64 x (+.f64 y -1))))

Outputs
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (+.f64 y -1))) (.f64 1/2 y))
(-.f64 918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(-.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (+.f64 y -1))) (.f64 1/2 y))
(-.f64 918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(-.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (+.f64 y -1))) (.f64 1/2 y))
(-.f64 918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(-.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (+.f64 y -1))) (.f64 1/2 y))
(-.f64 918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(-.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (+.f64 y -1))) (.f64 1/2 y))
(-.f64 918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(-.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (+.f64 y -1))) (.f64 1/2 y))
(-.f64 918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(-.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (+.f64 y -1))) (.f64 1/2 y))
(-.f64 918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(-.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (+.f64 y -1))) (.f64 1/2 y))
(-.f64 918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(-.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (+.f64 y -1))) (.f64 1/2 y))
(-.f64 918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(-.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 x -1))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
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(+.f64 (.f64 y (-.f64 x 1/2)) (+.f64 918938533204673/1000000000000000 (.f64 x -1)))
(+.f64 (+.f64 918938533204673/1000000000000000 (neg.f64 x)) (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 (.f64 y (-.f64 x 1/2)) (+.f64 918938533204673/1000000000000000 (.f64 x -1)))
(+.f64 (+.f64 918938533204673/1000000000000000 (neg.f64 x)) (*.f64 y (-.f64 x 1/2)))
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(+.f64 (.f64 y (-.f64 x 1/2)) (+.f64 918938533204673/1000000000000000 (.f64 x -1)))
(+.f64 (+.f64 918938533204673/1000000000000000 (neg.f64 x)) (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 (.f64 y (-.f64 x 1/2)) (+.f64 918938533204673/1000000000000000 (.f64 x -1)))
(+.f64 (+.f64 918938533204673/1000000000000000 (neg.f64 x)) (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 (.f64 y (-.f64 x 1/2)) (+.f64 918938533204673/1000000000000000 (.f64 x -1)))
(+.f64 (+.f64 918938533204673/1000000000000000 (neg.f64 x)) (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 (.f64 y (-.f64 x 1/2)) (+.f64 918938533204673/1000000000000000 (.f64 x -1)))
(+.f64 (+.f64 918938533204673/1000000000000000 (neg.f64 x)) (*.f64 y (-.f64 x 1/2)))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 y (.f64 (+.f64 1/2 (*.f64 x -1)) -1))
(neg.f64 (*.f64 y (+.f64 1/2 (neg.f64 x))))
(*.f64 (+.f64 1/2 (neg.f64 x)) (neg.f64 y))
(*.f64 y (-.f64 -1/2 (neg.f64 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
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(+.f64 918938533204673/1000000000000000 (.f64 -1 (+.f64 (.f64 y (+.f64 1/2 (neg.f64 x))) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (+.f64 x (.f64 y (+.f64 1/2 (neg.f64 x))))))
(+.f64 (+.f64 918938533204673/1000000000000000 (neg.f64 x)) (*.f64 y (-.f64 -1/2 (neg.f64 x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 (.f64 y (.f64 (+.f64 1/2 (.f64 x -1)) -1)) (+.f64 918938533204673/1000000000000000 (.f64 x -1)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (+.f64 (.f64 y (+.f64 1/2 (neg.f64 x))) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (+.f64 x (.f64 y (+.f64 1/2 (neg.f64 x))))))
(+.f64 (+.f64 918938533204673/1000000000000000 (neg.f64 x)) (*.f64 y (-.f64 -1/2 (neg.f64 x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 (.f64 y (.f64 (+.f64 1/2 (.f64 x -1)) -1)) (+.f64 918938533204673/1000000000000000 (.f64 x -1)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (+.f64 (.f64 y (+.f64 1/2 (neg.f64 x))) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (+.f64 x (.f64 y (+.f64 1/2 (neg.f64 x))))))
(+.f64 (+.f64 918938533204673/1000000000000000 (neg.f64 x)) (*.f64 y (-.f64 -1/2 (neg.f64 x))))
(-.f64 (*.f64 1/2 y) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 (-.f64 1 y) x)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 x (-.f64 1 y)) (.f64 1/2 y)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 x (-.f64 1 y))) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 (-.f64 1 y) x)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 x (-.f64 1 y)) (.f64 1/2 y)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 x (-.f64 1 y))) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 (-.f64 1 y) x)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 x (-.f64 1 y)) (.f64 1/2 y)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 x (-.f64 1 y))) 1918938533204673/1000000000000000)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 (+.f64 (.f64 1/2 y) (.f64 (-.f64 1 y) x)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 x (-.f64 1 y)) (.f64 1/2 y)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 x (-.f64 1 y))) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 (-.f64 1 y) x)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 x (-.f64 1 y)) (.f64 1/2 y)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 x (-.f64 1 y))) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 (-.f64 1 y) x)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 x (-.f64 1 y)) (.f64 1/2 y)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 x (-.f64 1 y))) 1918938533204673/1000000000000000)
(.f64 -1 (.f64 (-.f64 y 1) x))
(*.f64 x (-.f64 1 y))
(-.f64 (+.f64 (.f64 1/2 y) (.f64 -1 (*.f64 (-.f64 y 1) x))) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 x (-.f64 1 y)) (.f64 1/2 y)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 x (-.f64 1 y))) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 -1 (*.f64 (-.f64 y 1) x))) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 x (-.f64 1 y)) (.f64 1/2 y)) 1918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 1/2 y) (.f64 x (-.f64 1 y))) 1918938533204673/1000000000000000)
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(.f64 (/.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y (-.f64 1/2 x)) (neg.f64 x))) (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y (-.f64 1/2 x)) (neg.f64 x)))) (.f64 (/.f64 -1 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y (-.f64 1/2 x)) (neg.f64 x)))) (neg.f64 (.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y (-.f64 1/2 x)) (neg.f64 x))) (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y (-.f64 1/2 x)) (neg.f64 x)))))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))))) (/.f64 (neg.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (*.f64 y 1/2))))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 1/2 y) -1918938533204673/1000000000000000)) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 1/2 y) -1918938533204673/1000000000000000)) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 1/2 y) -1918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 1/2 y) -1918938533204673/1000000000000000))))) (/.f64 (neg.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 1/2 y) -1918938533204673/1000000000000000)))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 1/2 y) -1918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (*.f64 1/2 y) -1918938533204673/1000000000000000)))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 1/2 y) -1918938533204673/1000000000000000)) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 1/2 y) -1918938533204673/1000000000000000)) (neg.f64 (/.f64 1 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 1/2 y) -1918938533204673/1000000000000000)))))) (/.f64 (-.f64 (-.f64 (.f64 1/2 y) 1918938533204673/1000000000000000) (.f64 x (+.f64 y -1))) (-.f64 (-.f64 (.f64 1/2 y) 1918938533204673/1000000000000000) (*.f64 x (+.f64 y -1)))))
(.f64 (/.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y (-.f64 1/2 x)) (neg.f64 x))) (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y (-.f64 1/2 x)) (neg.f64 x)))) (.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 x (+.f64 y -1)) (-.f64 1918938533204673/1000000000000000 (.f64 1/2 y))))) (.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y (-.f64 1/2 x)) (neg.f64 x))) (+.f64 -1918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x))))))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))))) (/.f64 (.f64 (/.f64 1 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))) 1) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))))
(+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(+.f64 -1918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2)))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))))))
(+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(+.f64 -1918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(/.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))) 1)
(+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(+.f64 -1918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(/.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))) (/.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))) (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))))
(+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(+.f64 -1918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))) -1)
(+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(+.f64 -1918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(pow.f64 (+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1)))) 1)
(+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(+.f64 -1918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(neg.f64 (-.f64 (.f64 x (+.f64 y -1)) (+.f64 -1918938533204673/1000000000000000 (.f64 y 1/2))))
(+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(+.f64 -1918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(neg.f64 (+.f64 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)) 1918938533204673/1000000000000000))
(+.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 1/2 y) (.f64 x (+.f64 y -1))))
(+.f64 -1918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 1/2 x)) (neg.f64 x)))
(+.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 1 (+.f64 -1 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(+.f64 (+.f64 -1 (*.f64 x (+.f64 y -1))) 1)
(*.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)) 0)
(*.f64 x (+.f64 y -1))
(-.f64 (+.f64 -1 (*.f64 x (+.f64 y -1))) -1)
(*.f64 x (+.f64 y -1))
(-.f64 (+.f64 1 (*.f64 x (+.f64 y -1))) 1)
(*.f64 x (+.f64 y -1))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 x (+.f64 y -1)))) 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))
(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))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite109.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`rational.json-1`
1208×	`rational.json-2`
1208×	`rational.json-3`
1206×	`rational.json-5`
1204×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	62	11
2	200	11
3	665	11
4	2519	7

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 918938533204673/1000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 x) -918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 918938533204673/1000000000000000 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 x -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 x 81061466795327/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (+.f64 x 1) -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1918938533204673/1000000000000000 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 918938533204673/1000000000000000 (-.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 -1 x) -918938533204673/1000000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 x 1)) 81061466795327/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 x 1918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 918938533204673/1000000000000000 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 918938533204673/1000000000000000 (-.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 918938533204673/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (*.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (*.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 918938533204673/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 918938533204673/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x -918938533204673/1000000000000000))))))

simplify227.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1530×	`rational.json-simplify-49`
1338×	`rational.json-simplify-2`
1126×	`rational.json-simplify-50`
926×	`rational.json-simplify-58`
914×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	418
1	149	270
2	414	270
3	1968	270
4	6857	270

Stop Event

1×	node limit

Counts

40 → 33

Calls

Call 1

Inputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (neg.f64 x) -918938533204673/1000000000000000)
(-.f64 (-.f64 918938533204673/1000000000000000 x) 0)
(-.f64 0 (+.f64 x -918938533204673/1000000000000000))
(-.f64 1 (+.f64 x 81061466795327/1000000000000000))
(-.f64 1 (+.f64 (+.f64 x 1) -918938533204673/1000000000000000))
(-.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)
(-.f64 1918938533204673/1000000000000000 (+.f64 x 1))
(-.f64 (+.f64 918938533204673/1000000000000000 (-.f64 -1 x)) -1)
(-.f64 (-.f64 (-.f64 -1 x) -918938533204673/1000000000000000) -1)
(-.f64 (-.f64 0 (-.f64 x 1)) 81061466795327/1000000000000000)
(-.f64 (-.f64 0 (-.f64 x 1918938533204673/1000000000000000)) 1)
(-.f64 (-.f64 918938533204673/1000000000000000 (+.f64 x 1)) -1)
(-.f64 (-.f64 918938533204673/1000000000000000 (-.f64 x 1)) 1)
(*.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(*.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))
(*.f64 1 (-.f64 918938533204673/1000000000000000 x))
(*.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (-.f64 918938533204673/1000000000000000 x))
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x)))
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (-.f64 918938533204673/1000000000000000 x)))
(.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))
(.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))))
(.f64 (.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))))
(/.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(/.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))
(pow.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(neg.f64 (+.f64 x -918938533204673/1000000000000000))

Outputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 (neg.f64 x) -918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (-.f64 918938533204673/1000000000000000 x) 0)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 0 (+.f64 x -918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 1 (+.f64 x 81061466795327/1000000000000000))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 1 (+.f64 (+.f64 x 1) -918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 1918938533204673/1000000000000000 (+.f64 x 1))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (-.f64 -1 x)) -1)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (-.f64 (-.f64 -1 x) -918938533204673/1000000000000000) -1)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (-.f64 0 (-.f64 x 1)) 81061466795327/1000000000000000)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (-.f64 0 (-.f64 x 1918938533204673/1000000000000000)) 1)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (-.f64 918938533204673/1000000000000000 (+.f64 x 1)) -1)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (-.f64 918938533204673/1000000000000000 (-.f64 x 1)) 1)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 1 (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x)))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (-.f64 918938533204673/1000000000000000 x)))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(/.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(/.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(pow.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(neg.f64 (+.f64 x -918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)

localize11.0ms (0.2%)

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)

series6.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite94.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`rational.json-5`
1354×	`exponential.json-3`
1354×	`rational.json-1`
1354×	`rational.json-2`
1354×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	13
2	189	13
3	676	13
4	2603	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

simplify260.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

940×	`rational.json-simplify-111`
766×	`rational.json-simplify-104`
750×	`rational.json-simplify-2`
604×	`rational.json-simplify-79`
582×	`rational.json-simplify-73`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	309
1	54	255
2	125	255
3	361	255
4	1418	255
5	3713	255
6	5694	255
7	7531	255

Stop Event

1×	node limit

Counts

21 → 14

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

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

localize6.0ms (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)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite79.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`rational.json-5`
1414×	`exponential.json-3`
1414×	`rational.json-1`
1414×	`rational.json-2`
1414×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	61	13
2	199	13
3	707	13
4	2749	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

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

simplify179.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational.json-simplify-1`
926×	`rational.json-simplify-111`
772×	`rational.json-simplify-2`
710×	`rational.json-simplify-41`
608×	`rational.json-simplify-42`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	363
1	54	253
2	122	253
3	381	253
4	1572	253
5	4702	253
6	7175	253

Stop Event

1×	node limit

Counts

21 → 16

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1094×	`rational.json-5`
1092×	`exponential.json-3`
1092×	`rational.json-1`
1092×	`rational.json-2`
1092×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	57	13
2	176	13
3	618	13
4	2193	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify291.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1458×	`rational.json-simplify-49`
1260×	`rational.json-simplify-2`
1098×	`rational.json-simplify-50`
978×	`rational.json-simplify-43`
878×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	431
1	90	431
2	284	431
3	1629	431
4	5495	431
5	7877	431

Stop Event

1×	node limit

Counts

35 → 28

Calls

Call 1

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

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

eval103.0ms (1.7%)

Compiler: Compiled 4931 to 3792 computations (23.1% saved)

prune45.0ms (0.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	231	7	238
Fresh	1	0	1
Picked	0	1	1
Done	2	2	4
Total	234	10	244

Error

Counts

244 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.1b	(-.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)
✓	29.4b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶	26.8b	(-.f64 918938533204673/1000000000000000 x)
	36.0b	(+.f64 (.f64 -1/2 y) (.f64 y x))
✓	33.5b	(*.f64 (-.f64 y 1) x)
✓	36.0b	(*.f64 y (-.f64 x 1/2))
▶	52.3b	(*.f64 y x)
▶	46.7b	(*.f64 -1/2 y)
▶	44.2b	(neg.f64 x)
	44.9b	918938533204673/1000000000000000

Compiler

Compiled 94 to 71 computations (24.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite152.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`rational.json-5`
870×	`exponential.json-3`
870×	`rational.json-1`
870×	`rational.json-2`
870×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	41	7
2	138	7
3	479	7
4	1728	7
5	7531	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(-.f64 918938533204673/1000000000000000 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 918938533204673/1000000000000000 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -81061466795327/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -81061466795327/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 x 1918938533204673/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 918938533204673/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x 918938533204673/1000000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 x 918938533204673/1000000000000000) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (fabs.f64 (-.f64 918938533204673/1000000000000000 x)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (*.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (*.f64 (*.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 -1 (-.f64 x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000))) (-.f64 x 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)) (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000))) (*.f64 (/.f64 1 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000))) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 x 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (*.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (*.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 918938533204673/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x 918938533204673/1000000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 918938533204673/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 x 918938533204673/1000000000000000))))))

simplify251.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1442×	`rational.json-simplify-47`
870×	`rational.json-simplify-2`
852×	`rational.json-simplify-1`
632×	`rational.json-simplify-43`
620×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	349
1	138	327
2	277	327
3	1143	327
4	4660	327
5	6868	327

Stop Event

1×	node limit

Counts

43 → 37

Calls

Call 1

Inputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 (-.f64 918938533204673/1000000000000000 x) 0)
(+.f64 0 (-.f64 918938533204673/1000000000000000 x))
(+.f64 1 (-.f64 -81061466795327/1000000000000000 x))
(+.f64 (-.f64 -81061466795327/1000000000000000 x) 1)
(+.f64 (neg.f64 (-.f64 x 1918938533204673/1000000000000000)) -1)
(*.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(*.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)))
(.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))
(*.f64 1 (-.f64 918938533204673/1000000000000000 x))
(*.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)) (-.f64 918938533204673/1000000000000000 x))
(*.f64 (-.f64 x 918938533204673/1000000000000000) -1)
(.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 x 918938533204673/1000000000000000) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))
(.f64 (fabs.f64 (-.f64 918938533204673/1000000000000000 x)) (.f64 (fabs.f64 (-.f64 918938533204673/1000000000000000 x)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x)))
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (*.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)) (-.f64 918938533204673/1000000000000000 x)))
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 -1 (-.f64 x 918938533204673/1000000000000000)))
(*.f64 (neg.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000))) (-.f64 x 918938533204673/1000000000000000))
(.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))
(.f64 (.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)) (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000))) (*.f64 (/.f64 1 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000))) (-.f64 918938533204673/1000000000000000 x)))
(.f64 (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))
(.f64 (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) 1))
(*.f64 -1 (-.f64 x 918938533204673/1000000000000000))
(.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))))
(.f64 (.f64 (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))))
(/.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(/.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)))
(/.f64 (-.f64 x 918938533204673/1000000000000000) -1)
(pow.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(neg.f64 (-.f64 x 918938533204673/1000000000000000))

Outputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(+.f64 (-.f64 918938533204673/1000000000000000 x) 0)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 0 (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 1 (-.f64 -81061466795327/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (-.f64 -81061466795327/1000000000000000 x) 1)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 (-.f64 x 1918938533204673/1000000000000000)) -1)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 1 (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (-.f64 x 918938533204673/1000000000000000) -1)
(-.f64 918938533204673/1000000000000000 x)
(.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 x 918938533204673/1000000000000000) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (fabs.f64 (-.f64 918938533204673/1000000000000000 x)) (.f64 (fabs.f64 (-.f64 918938533204673/1000000000000000 x)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (*.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))) (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)) (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (/.f64 -1 (-.f64 x 918938533204673/1000000000000000)))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (neg.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000))) (-.f64 x 918938533204673/1000000000000000))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)) (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000))) (*.f64 (/.f64 1 (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000))) (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) 1))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 (-.f64 x 918938533204673/1000000000000000))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 x 918938533204673/1000000000000000) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 x 918938533204673/1000000000000000) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))))))
(-.f64 918938533204673/1000000000000000 x)
(/.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(-.f64 918938533204673/1000000000000000 x)
(/.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 x 918938533204673/1000000000000000) (-.f64 x 918938533204673/1000000000000000)))
(-.f64 918938533204673/1000000000000000 x)
(/.f64 (-.f64 x 918938533204673/1000000000000000) -1)
(-.f64 918938533204673/1000000000000000 x)
(pow.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(-.f64 918938533204673/1000000000000000 x)
(neg.f64 (-.f64 x 918938533204673/1000000000000000))
(-.f64 918938533204673/1000000000000000 x)

localize3.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize4.0ms (0.1%)

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

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(-.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)
0.0ms	x	@	-inf	(-.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)
0.0ms	x	@	inf	(-.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)

rewrite81.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`rational.json-5`
1130×	`exponential.json-3`
1130×	`rational.json-1`
1130×	`rational.json-2`
1130×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	61	7
2	197	7
3	653	7
4	2301	7

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(-.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 x) 1918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 918938533204673/1000000000000000 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (+.f64 x -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1918938533204673/1000000000000000 (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 x) 2918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2918938533204673/1000000000000000 (-.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 x -918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 x -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 918938533204673/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -918938533204673/1000000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (/.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (/.f64 -1 (+.f64 x -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (-.f64 -1 (-.f64 -1 (+.f64 x -918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))) (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)))) (/.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))) (*.f64 (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 918938533204673/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -918938533204673/1000000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 918938533204673/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x -918938533204673/1000000000000000))))))

simplify210.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1260×	`rational.json-simplify-50`
1182×	`rational.json-simplify-111`
764×	`rational.json-simplify-1`
668×	`rational.json-simplify-55`
596×	`rational.json-simplify-104`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	483
1	100	411
2	208	411
3	645	275
4	2572	275
5	6341	275

Stop Event

1×	node limit

Counts

39 → 33

Calls

Call 1

Inputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 (-.f64 -1 x) 1918938533204673/1000000000000000)
(+.f64 (-.f64 918938533204673/1000000000000000 x) 0)
(+.f64 0 (-.f64 918938533204673/1000000000000000 x))
(+.f64 1 (-.f64 -1 (+.f64 x -918938533204673/1000000000000000)))
(+.f64 1918938533204673/1000000000000000 (-.f64 -1 x))
(+.f64 (-.f64 -2 x) 2918938533204673/1000000000000000)
(+.f64 2918938533204673/1000000000000000 (-.f64 -2 x))
(+.f64 (-.f64 -1 (+.f64 x -918938533204673/1000000000000000)) 1)
(*.f64 -1 (+.f64 x -918938533204673/1000000000000000))
(*.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(*.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))
(*.f64 1 (-.f64 918938533204673/1000000000000000 x))
(*.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (-.f64 918938533204673/1000000000000000 x))
(*.f64 (+.f64 x -918938533204673/1000000000000000) -1)
(.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x)))
(.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (/.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (-.f64 918938533204673/1000000000000000 x)))
(.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (/.f64 -1 (+.f64 x -918938533204673/1000000000000000)))
(*.f64 (neg.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (-.f64 -1 (-.f64 -1 (+.f64 x -918938533204673/1000000000000000))))
(.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)))
(.f64 (.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))) (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))))
(.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))))
(.f64 (.f64 (.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)))) (/.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)))))
(/.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(/.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (+.f64 x -918938533204673/1000000000000000) -1)
(pow.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(neg.f64 (+.f64 x -918938533204673/1000000000000000))

Outputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (-.f64 -1 x) 1918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (-.f64 918938533204673/1000000000000000 x) 0)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 0 (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 1 (-.f64 -1 (+.f64 x -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 1918938533204673/1000000000000000 (-.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (-.f64 -2 x) 2918938533204673/1000000000000000)
(+.f64 2918938533204673/1000000000000000 (-.f64 -2 x))
(+.f64 (-.f64 -2 x) 2918938533204673/1000000000000000)
(+.f64 (-.f64 -1 (+.f64 x -918938533204673/1000000000000000)) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 (+.f64 x -918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 1 (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (+.f64 x -918938533204673/1000000000000000) -1)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (/.f64 1 (-.f64 918938533204673/1000000000000000 x)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (/.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)) (-.f64 918938533204673/1000000000000000 x)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (/.f64 -1 (+.f64 x -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (neg.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x))) (-.f64 -1 (-.f64 -1 (+.f64 x -918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))) (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (*.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)))) (/.f64 (/.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)) (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000))) (.f64 (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)) (.f64 (+.f64 x -918938533204673/1000000000000000) (+.f64 x -918938533204673/1000000000000000)))))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(/.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(/.f64 (-.f64 918938533204673/1000000000000000 x) (/.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 x)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(/.f64 (+.f64 x -918938533204673/1000000000000000) -1)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(pow.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(neg.f64 (+.f64 x -918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)

eval21.0ms (0.3%)

Compiler: Compiled 779 to 594 computations (23.7% saved)

prune12.0ms (0.2%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	7	7
Total	70	10	80

Error

Counts

80 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.1b	(-.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)
✓	29.4b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	26.8b	(-.f64 918938533204673/1000000000000000 x)
▶	36.0b	(+.f64 (.f64 -1/2 y) (.f64 y x))
✓	33.5b	(*.f64 (-.f64 y 1) x)
✓	36.0b	(*.f64 y (-.f64 x 1/2))
✓	52.3b	(*.f64 y x)
✓	46.7b	(*.f64 -1/2 y)
✓	44.2b	(neg.f64 x)
	44.9b	918938533204673/1000000000000000

Compiler

Compiled 59 to 45 computations (23.7% saved)

localize8.0ms (0.1%)

Compiler: Compiled 18 to 9 computations (50% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	8	8
Total	10	10

Error

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.1b	(-.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)
✓	29.4b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	26.8b	(-.f64 918938533204673/1000000000000000 x)
✓	36.0b	(+.f64 (.f64 -1/2 y) (.f64 y x))
✓	33.5b	(*.f64 (-.f64 y 1) x)
✓	36.0b	(*.f64 y (-.f64 x 1/2))
✓	52.3b	(*.f64 y x)
✓	46.7b	(*.f64 -1/2 y)
✓	44.2b	(neg.f64 x)
	44.9b	918938533204673/1000000000000000

Compiler

Compiled 59 to 45 computations (23.7% saved)

regimes40.0ms (0.7%)

Counts

14 → 1

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (-.f64 0 (-.f64 -1918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))) 1)

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

Calls

4 calls:

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

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 110 to 75 computations (31.8% saved)

regimes47.0ms (0.8%)

Counts

12 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)

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

Calls

2 calls:

23.0ms	y
21.0ms	x

Results

Error	Segments	Branch
0.1b	3	`x`
0.8b	3	`y`

Compiler

Compiled 60 to 37 computations (38.3% saved)

bsearch39.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	196990830357.91937	1.593007123446055e+28
20.0ms	-1.0180686803060596e+36	-2902768464465785000.0

Results

32.0ms	320×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 418 to 314 computations (24.9% saved)

regimes44.0ms (0.7%)

Counts

11 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (.f64 y x))

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

Calls

2 calls:

22.0ms	x
20.0ms	y

Results

Error	Segments	Branch
1.0b	3	`x`
0.9b	3	`y`

Compiler

Compiled 51 to 32 computations (37.3% saved)

bsearch39.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.2421152449276645e-12	13664.136776259184
19.0ms	-19.729253018447995	-3.2326217251598484e-12

Results

33.0ms

320×

body

256

valid

Compiler

Compiled 318 to 244 computations (23.3% saved)

regimes42.0ms (0.7%)

Counts

10 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (-.f64 -1 x) -1918938533204673/1000000000000000)

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

Calls

2 calls:

20.0ms	y
19.0ms	x

Results

Error	Segments	Branch
1.0b	3	`x`
0.9b	3	`y`

Compiler

Compiled 44 to 29 computations (34.1% saved)

bsearch37.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.2421152449276645e-12	13664.136776259184
19.0ms	-19.729253018447995	-3.2326217251598484e-12

Results

31.0ms

320×

body

256

valid

Compiler

Compiled 298 to 234 computations (21.5% saved)

regimes56.0ms (0.9%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	x
20.0ms	y

Results

Error	Segments	Branch
21.0b	7	`x`
10.0b	4	`y`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch46.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
16.0ms	2.6958638140337726e+31	2.3175558423026405e+35
19.0ms	1.2421152449276645e-12	13664.136776259184
10.0ms	-3.1171910363735756e+30	-1.2310645008983224e+30

Results

39.0ms	368×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 294 to 226 computations (23.1% saved)

regimes69.0ms (1.1%)

Counts

4 → 10

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	x
26.0ms	y

Results

Error	Segments	Branch
20.7b	10	`x`
23.1b	7	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch133.0ms (2.2%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
15.0ms	2.2069718743997758e+116	5.41505922174418e+119
12.0ms	2.418211296826613e+54	1.5587815760269157e+55
17.0ms	2.602303596883438e-7	2.6601895447352484
16.0ms	2.726465101665142e-41	3.571772772832287e-38
18.0ms	2.861585674109531e-102	1.6721496870926123e-90
15.0ms	4.7401125639568867e-150	8.374440376269697e-149
8.0ms	2.20871942617072e-277	3.915333852632731e-277
12.0ms	-3.5713517822099985e-243	-4.075337749486523e-244
20.0ms	-83.46497177913076	-6.039574981957332e-15

Results

111.0ms	1088×	body	256	valid
1.0ms	11×	body	256	infinite

Compiler

Compiled 711 to 602 computations (15.3% saved)

regimes51.0ms (0.8%)

Counts

3 → 8

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	x
23.0ms	y

Results

Error	Segments	Branch
22.7b	8	`x`
24.6b	6	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch103.0ms (1.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
16.0ms	2.602303596883438e-7	2.6601895447352484
16.0ms	2.726465101665142e-41	3.571772772832287e-38
19.0ms	2.861585674109531e-102	1.6721496870926123e-90
14.0ms	4.7401125639568867e-150	8.374440376269697e-149
7.0ms	2.20871942617072e-277	3.915333852632731e-277
11.0ms	-3.5713517822099985e-243	-4.075337749486523e-244
20.0ms	-83.46497177913076	-6.039574981957332e-15

Results

86.0ms

864×

body

256

valid

Compiler

Compiled 557 to 490 computations (12% saved)

regimes29.0ms (0.5%)

Accuracy

Total -35.5b remaining (-131.9%)

Threshold costs -35.5b (-131.9%)

Counts

2 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)

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

Calls

2 calls:

15.0ms	y
11.0ms	x

Results

Error	Segments	Branch
26.9b	3	`x`
40.0b	4	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch38.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	196990830357.91937	1.593007123446055e+28
19.0ms	-83.46497177913076	-6.039574981957332e-15

Results

32.0ms	320×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 198 to 174 computations (12.1% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	517

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(if (<=.f64 x -3000000000000000000) (.f64 (-.f64 y 1) x) (if (<=.f64 x 200000000000) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y 1) x)))
(if (<=.f64 y -6530219459687219/4503599627370496) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 5854679515581645/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (+.f64 (.f64 -1/2 y) (*.f64 y x))))
(if (<=.f64 y -3422735716801577/2251799813685248) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 1) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -1249999999999999954487036870656) (.f64 -1/2 y) (if (<=.f64 y 5/4) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 26999999999999998566560033669120) (.f64 y x) (*.f64 -1/2 y))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x -6457665675464651/15375394465392026070980930960402958051966483647589383243116337952281869440244186537876296086692518667977838631290276787444086150484586994200087471936798525767761360737466168478385414860572969804431318564695864578364068534363514095860253929241066696020120829952) 918938533204673/1000000000000000 (if (<=.f64 x 146179710171/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936) (.f64 -1/2 y) (if (<=.f64 x 4606887725612233/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832) 918938533204673/1000000000000000 (if (<=.f64 x 17796316275227/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (.f64 -1/2 y) (if (<=.f64 x 8428725474762389/383123885216472214589586756787577295904684780545900544) 918938533204673/1000000000000000 (if (<=.f64 x 2476979795053773/4503599627370496) (.f64 -1/2 y) (if (<=.f64 x 15499999999999999682248225127018693970547351205277859840) (neg.f64 x) (if (<=.f64 x 225000000000000007875370078696063529205349768542481553214537242383362473613611246054527711129637522174172767241371648) (.f64 y x) (neg.f64 x))))))))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x -5381388062887209/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976) 918938533204673/1000000000000000 (if (<=.f64 x 1120711111311/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488) (.f64 -1/2 y) (if (<=.f64 x 8407570099242325/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832) 918938533204673/1000000000000000 (if (<=.f64 x 3817069350275715/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (.f64 -1/2 y) (if (<=.f64 x 1034434490084475/191561942608236107294793378393788647952342390272950272) 918938533204673/1000000000000000 (if (<=.f64 x 1261007895663739/2251799813685248) (*.f64 -1/2 y) (neg.f64 x))))))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x 200000000000) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(if (<=.f64 x -3000000000000000000) (.f64 (-.f64 y 1) x) (if (<=.f64 x 200000000000) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y 1) x)))
(if (<=.f64 y -6530219459687219/4503599627370496) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 5854679515581645/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (+.f64 (.f64 -1/2 y) (*.f64 y x))))
(if (<=.f64 y -3422735716801577/2251799813685248) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 1) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -1249999999999999954487036870656) (.f64 -1/2 y) (if (<=.f64 y 5/4) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 26999999999999998566560033669120) (.f64 y x) (*.f64 -1/2 y))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x -6457665675464651/15375394465392026070980930960402958051966483647589383243116337952281869440244186537876296086692518667977838631290276787444086150484586994200087471936798525767761360737466168478385414860572969804431318564695864578364068534363514095860253929241066696020120829952) 918938533204673/1000000000000000 (if (<=.f64 x 146179710171/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936) (.f64 -1/2 y) (if (<=.f64 x 4606887725612233/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832) 918938533204673/1000000000000000 (if (<=.f64 x 17796316275227/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (.f64 -1/2 y) (if (<=.f64 x 8428725474762389/383123885216472214589586756787577295904684780545900544) 918938533204673/1000000000000000 (if (<=.f64 x 2476979795053773/4503599627370496) (.f64 -1/2 y) (if (<=.f64 x 15499999999999999682248225127018693970547351205277859840) (neg.f64 x) (if (<=.f64 x 225000000000000007875370078696063529205349768542481553214537242383362473613611246054527711129637522174172767241371648) (.f64 y x) (neg.f64 x))))))))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x -5381388062887209/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976) 918938533204673/1000000000000000 (if (<=.f64 x 1120711111311/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488) (.f64 -1/2 y) (if (<=.f64 x 8407570099242325/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832) 918938533204673/1000000000000000 (if (<=.f64 x 3817069350275715/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (.f64 -1/2 y) (if (<=.f64 x 1034434490084475/191561942608236107294793378393788647952342390272950272) 918938533204673/1000000000000000 (if (<=.f64 x 1261007895663739/2251799813685248) (*.f64 -1/2 y) (neg.f64 x))))))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x 200000000000) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000

Compiler

Compiled 239 to 167 computations (30.1% saved)

soundness0.0ms (0%)

end109.0ms (1.8%)

Compiler: Compiled 223 to 146 computations (34.5% saved)

Details

analyze70.0ms (1.1%)

sample1.7s (27.3%)

preprocess33.0ms (0.5%)

simplify30.0ms (0.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize32.0ms (0.5%)

series7.0ms (0.1%)

rewrite148.0ms (2.4%)

simplify291.0ms (4.7%)

eval45.0ms (0.7%)

prune26.0ms (0.4%)

localize55.0ms (0.9%)

series4.0ms (0.1%)

rewrite187.0ms (3.1%)

simplify325.0ms (5.3%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite109.0ms (1.8%)

simplify227.0ms (3.7%)

localize11.0ms (0.2%)

series6.0ms (0.1%)

rewrite94.0ms (1.5%)

simplify260.0ms (4.2%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite79.0ms (1.3%)

simplify179.0ms (2.9%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite78.0ms (1.3%)

simplify291.0ms (4.8%)

eval103.0ms (1.7%)

prune45.0ms (0.7%)

localize3.0ms (0.1%)

series0.0ms (0%)

rewrite152.0ms (2.5%)

simplify251.0ms (4.1%)

localize3.0ms (0%)

localize4.0ms (0.1%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite81.0ms (1.3%)

simplify210.0ms (3.4%)

eval21.0ms (0.3%)

prune12.0ms (0.2%)

localize8.0ms (0.1%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes40.0ms (0.7%)

regimes47.0ms (0.8%)

bsearch39.0ms (0.6%)

regimes44.0ms (0.7%)

bsearch39.0ms (0.6%)

regimes42.0ms (0.7%)

bsearch37.0ms (0.6%)

regimes56.0ms (0.9%)

bsearch46.0ms (0.7%)

regimes69.0ms (1.1%)

bsearch133.0ms (2.2%)

regimes51.0ms (0.8%)

bsearch103.0ms (1.7%)

regimes29.0ms (0.5%)

bsearch38.0ms (0.6%)

simplify12.0ms (0.2%)

soundness0.0ms (0%)

end109.0ms (1.8%)

Profiling