Details

analyze63.0ms (0.8%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.1s (13.7%)

Results

1.1s	8256×	body	256	valid
26.0ms	287×	body	256	infinite

Bogosity

preprocess4.0ms (0%)

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)

simplify8.0ms (0.1%)

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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 26 computations (31.6% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite89.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1446×	`bool.json-1`
1446×	`bool.json-2`
1390×	`rational.json-1`
1390×	`rational.json-2`
1390×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	107	38
2	304	38
3	596	38
4	1165	38
5	2609	38
6	5525	38

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (.f64 x (+.f64 y -1)) (-.f64 1 (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y -2) (.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 x (+.f64 y -1)) (-.f64 1 (.f64 y 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -2) (/.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 x (+.f64 y (+.f64 y -2))) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (.f64 (+.f64 y -1) (.f64 x 1/2)) (.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y (.f64 x (+.f64 y (+.f64 y -2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 y (.f64 x (+.f64 y (+.f64 y -2))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 y (.f64 x (+.f64 y (+.f64 y -2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (-.f64 y (.f64 x (+.f64 y (+.f64 y -2)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (-.f64 y (.f64 x (+.f64 y (+.f64 y -2)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 y 1/2) (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 x (+.f64 y -1)) (/.f64 y -2)) (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 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 (+.f64 y -1) (.f64 x 1/2)) (.f64 (+.f64 y -1) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (+.f64 y -1)) 0)))) (#(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 (+.f64 y -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 y -1) (.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x (+.f64 y -1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 x (+.f64 y -1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (+.f64 y -1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 x (+.f64 y -1)) (.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 x (+.f64 y -1)) (-.f64 1 (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y -2) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (+.f64 y -1)) (-.f64 1 (*.f64 y 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (-.f64 (*.f64 y 1/2) (*.f64 x (+.f64 y -1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 y 1/2) (*.f64 x (+.f64 y -1))) -2) (/.f64 (-.f64 (*.f64 y 1/2) (*.f64 x (+.f64 y -1))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 x (+.f64 y (+.f64 y -2))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 y 1/2) (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (*.f64 y 1/2) (*.f64 x (+.f64 y -1))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (+.f64 y -1) (*.f64 x 1/2)) (*.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y 1/2) (*.f64 x (+.f64 y -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 y 1/2) (*.f64 x (+.f64 y -1))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y 1/2) (*.f64 x (+.f64 y -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y (*.f64 x (+.f64 y (+.f64 y -2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 y (*.f64 x (+.f64 y (+.f64 y -2))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 y (*.f64 x (+.f64 y (+.f64 y -2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (-.f64 y (*.f64 x (+.f64 y (+.f64 y -2)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 y (*.f64 x (+.f64 y (+.f64 y -2)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 y 1/2) (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)) (+.f64 (*.f64 x (+.f64 y -1)) (/.f64 y -2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 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 (+.f64 y -1) (*.f64 x 1/2)) (*.f64 (+.f64 y -1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 y -1)) 0)))) (#(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 (+.f64 y -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y -1) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 y -1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (+.f64 y -1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (+.f64 y -1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))))

simplify303.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

2214×	`rational.json-simplify-35`
1774×	`rational.json-simplify-2`
1770×	`rational.json-simplify-1`
880×	`rational.json-simplify-52`
722×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1917
1	250	1843
2	547	1843
3	1300	1815
4	2601	1815
5	3480	1815
6	4408	1815
7	5267	1815
8	5749	1815
9	6204	1815
10	6223	1815
11	6230	1815
12	6869	1815
13	6937	1815
14	7198	1815

Stop Event

1×	node limit

Counts

93 → 73

Calls

Call 1

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

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

eval19.0ms (0.2%)

Compiler: Compiled 960 to 730 computations (24% saved)

prune13.0ms (0.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	6	74

Error

0.0b

Counts

74 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	20.6b	(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
▶	0.0b	(+.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 x 1/2))) 918938533204673/1000000000000000)
▶	17.0b	(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
▶	20.6b	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
▶	28.2b	(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
▶	25.4b	(+.f64 (neg.f64 x) 918938533204673/1000000000000000)

Compiler

Compiled 108 to 84 computations (22.2% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 20 computations (41.2% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite85.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`bool.json-1`
1518×	`bool.json-2`
1464×	`rational.json-1`
1464×	`rational.json-2`
1464×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	101	36
2	269	36
3	561	36
4	1207	36
5	2763	36
6	5793	36

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (+.f64 x -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x -1/2) (.f64 y 1/2)) (.f64 (+.f64 x -1/2) (.f64 y 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 (.f64 y (+.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x -1/2) (+.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 (+.f64 x -1/2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y (+.f64 x -1/2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 y (+.f64 x -1/2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 y (+.f64 x -1/2)) 8)) (.f64 2 (.f64 (.f64 y (+.f64 x -1/2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 y (+.f64 x -1/2)) (.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 y (+.f64 x -1/2)) (*.f64 y (+.f64 x -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 x -2) (.f64 (+.f64 x -1/2) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (+.f64 x -1/2) (+.f64 y y)) (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 x -1/2) (.f64 (+.f64 x -1/2) (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (+.f64 x -1/2) (.f64 y 1/2)) (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 8)) (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (*.f64 y 1/2)) (*.f64 (+.f64 x -1/2) (*.f64 y 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 (*.f64 y (+.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1/2) (+.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (+.f64 x -1/2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y (+.f64 x -1/2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 y (+.f64 x -1/2)) 8)) (*.f64 2 (*.f64 (*.f64 y (+.f64 x -1/2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 y (+.f64 x -1/2)) (*.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y (+.f64 x -1/2)) (*.f64 y (+.f64 x -1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 x -2) (*.f64 (+.f64 x -1/2) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (+.f64 x -1/2) (+.f64 y y)) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x -1/2) (*.f64 (+.f64 x -1/2) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (+.f64 x -1/2) (*.f64 y 1/2)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)))))))

simplify1.2s (14.4%)

Algorithm

1×	egg-herbie

Rules

3862×	`rational.json-simplify-35`
2330×	`rational.json-simplify-48`
1584×	`rational.json-simplify-1`
1330×	`rational.json-simplify-2`
808×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1452
1	188	1338
2	441	1338
3	1072	1280
4	2138	1280
5	2776	1280
6	3122	1280
7	3477	1280
8	3765	1280
9	3996	1280
10	4157	1280
11	4336	1280
12	4538	1280
13	4816	1280
14	4854	1280
15	4955	1280
16	5010	1280
17	5058	1280
18	5100	1280
19	5440	1280
20	5698	1280
21	5853	1280
22	6011	1280
23	6171	1280
24	6326	1280
25	6478	1280
26	6628	1280
27	6751	1280
28	6866	1280
29	6981	1280
30	7305	1280
31	7641	1280
32	7668	1280
33	7697	1280
34	7735	1280
35	7822	1280
36	7867	1280
37	7913	1280
38	7962	1280

Stop Event

1×	node limit

Counts

68 → 53

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize7.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
0.0ms	x	@	0	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
0.0ms	x	@	inf	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
0.0ms	y	@	0	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
0.0ms	y	@	inf	(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)

rewrite99.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`bool.json-1`
1694×	`bool.json-2`
1654×	`rational.json-1`
1654×	`rational.json-2`
1208×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	88	19
2	227	19
3	459	19
4	941	19
5	2041	19
6	4170	19
7	6702	19

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))))

simplify923.0ms (11.5%)

Algorithm

1×	egg-herbie

Rules

4212×	`rational.json-simplify-1`
3396×	`rational.json-simplify-41`
1868×	`rational.json-simplify-35`
1796×	`rational.json-simplify-2`
1214×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	900
1	108	738
2	274	738
3	711	738
4	1228	738
5	2062	738
6	2435	738
7	2470	738
8	2504	738
9	2537	738
10	2567	738
11	2597	738
12	2636	738
13	2666	738
14	2696	738
15	2726	738
16	2756	738
17	2786	738
18	2816	738
19	3706	738
20	6550	738
21	6602	738
22	6655	738
23	6700	738
24	6740	738
25	6778	738
26	6815	738
27	6850	738
28	6883	738
29	6916	738
30	6949	738
31	6982	738
32	7015	738
33	7048	738
34	7081	738
35	7114	738

Stop Event

1×	node limit

Counts

42 → 27

Calls

Call 1

Inputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 0)
(.f64 1/2 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2))
(.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 1)
(.f64 1 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))
(.f64 2 (.f64 1/2 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))
(.f64 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4))
(.f64 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4))
(.f64 (/.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 4)
(/.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 1)
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8)))) 64)

Outputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 0)
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 1/2 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 1)
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 1 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 2 (.f64 1/2 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2) 1/2)
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 4 (/.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 1/4)
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 (.f64 1/2 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)) 2)
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 1/4 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4))
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 (/.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 4)
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(/.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 1)
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2) 2)
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 4)
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8) 8)
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8)) 16)
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8))) 32)
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8)))) 64)
(+.f64 (.f64 y -1/2) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 33

Calls

12 calls:

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

rewrite110.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1962×	`bool.json-1`
1382×	`rational.json-simplify-35`
1258×	`bool.json-2`
1214×	`rational.json-1`
1214×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	98	32
2	283	32
3	544	32
4	1084	32
5	2380	32
6	4877	32
7	7731	32

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y -1) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y -1) (*.f64 x 1/2)) (*.f64 (+.f64 y -1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 y -1) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y -1) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y -1) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y -1) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (+.f64 y -1) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 y -1) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 y -1) x) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 y -1) x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (+.f64 y -1) x) (*.f64 (+.f64 y -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (+.f64 y -1) x) (*.f64 (+.f64 y -1) x))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))))))

simplify765.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

6230×	`rational.json-simplify-41`
4066×	`rational.json-simplify-35`
1412×	`rational.json-simplify-2`
802×	`rational.json-simplify-1`
470×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	1292
1	162	958
2	416	958
3	1093	958
4	2262	958
5	2919	958
6	3212	958
7	3426	958
8	3583	958
9	3713	958
10	3830	958
11	3943	958
12	4209	958
13	4228	958
14	4260	958
15	4279	958
16	4302	958
17	4321	958
18	4439	958
19	4551	958
20	4663	958
21	4775	958
22	4887	958
23	4999	958
24	5111	958
25	5223	958
26	5335	958
27	5447	958
28	5559	958
29	5671	958
30	5671	958

Stop Event

1×	node limit

Counts

62 → 45

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(*.f64 y x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(*.f64 y x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
918938533204673/1000000000000000
(*.f64 (-.f64 y 1) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(*.f64 (-.f64 y 1) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 (*.f64 (+.f64 y -1) x) 0)
(+.f64 0 (*.f64 (+.f64 y -1) x))
(+.f64 (.f64 (+.f64 y -1) (.f64 x 1/2)) (.f64 (+.f64 y -1) (.f64 x 1/2)))
(-.f64 (*.f64 (+.f64 y -1) x) 0)
(/.f64 (*.f64 (+.f64 y -1) x) 1)
(/.f64 (*.f64 (+.f64 y -1) (+.f64 x x)) 2)
(/.f64 (.f64 (+.f64 y -1) (.f64 x 4)) 4)
(/.f64 (.f64 (.f64 (+.f64 y -1) x) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 y -1) x) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y -1) x) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y -1) x) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y -1) x) 8)))) 64)
(-.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 0)
(.f64 1 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))
(.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)
(.f64 2 (.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1/2))
(.f64 4 (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 2) 1/2)
(.f64 (.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 2))
(.f64 1/4 (.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1/2) 2)
(.f64 (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4) 4)
(/.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8)))) 64)

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 (*.f64 -1 x) 918938533204673/1000000000000000)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(*.f64 y x)
(*.f64 x y)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(*.f64 y x)
(*.f64 x y)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 -1 x)))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
918938533204673/1000000000000000
(*.f64 (-.f64 y 1) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(*.f64 (-.f64 y 1) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(+.f64 (*.f64 (+.f64 y -1) x) 0)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 0 (*.f64 (+.f64 y -1) x))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 (+.f64 y -1) (.f64 x 1/2)) (.f64 (+.f64 y -1) (.f64 x 1/2)))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 (+.f64 y -1) x) 0)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(/.f64 (*.f64 (+.f64 y -1) x) 1)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(/.f64 (*.f64 (+.f64 y -1) (+.f64 x x)) 2)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(/.f64 (.f64 (+.f64 y -1) (.f64 x 4)) 4)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(/.f64 (.f64 (.f64 (+.f64 y -1) x) 8) 8)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 y -1) x) 8)) 16)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y -1) x) 8))) 32)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y -1) x) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y -1) x) 8)))) 64)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(-.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 0)
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 1 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 2 (.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1/2))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 4 (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 2) 1/2)
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4) 1/4)
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 1/2 (.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 2))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 1/4 (.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4))
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1/2) 2)
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(.f64 (/.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4) 4)
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(/.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 1)
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 2) 2)
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 4) 4)
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8) 8)
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8)) 16)
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8))) 32)
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 y -1) x) 918938533204673/1000000000000000) 8)))) 64)
(+.f64 (.f64 x y) (+.f64 (.f64 -1 x) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 -1 y)))

eval34.0ms (0.4%)

Compiler: Compiled 1552 to 1160 computations (25.3% saved)

prune22.0ms (0.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	134	5	139
Fresh	0	1	1
Picked	1	0	1
Done	2	2	4
Total	137	8	145

Error

0.0b

Counts

145 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.6b	(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
▶	17.0b	(+.f64 (+.f64 (neg.f64 x) (*.f64 y x)) 918938533204673/1000000000000000)
✓	28.2b	(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
✓	25.4b	(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
▶	35.0b	(*.f64 (-.f64 y 1) x)
▶	38.3b	(*.f64 y (-.f64 x 1/2))
▶	54.9b	(*.f64 y x)
	44.8b	918938533204673/1000000000000000

Compiler

Compiled 96 to 70 computations (27.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(+.f64 (neg.f64 x) (*.f64 y x))
0.0ms	x	@	0	(+.f64 (neg.f64 x) (*.f64 y x))
0.0ms	x	@	inf	(+.f64 (neg.f64 x) (*.f64 y x))
0.0ms	x	@	-inf	(+.f64 (neg.f64 x) (*.f64 y x))
0.0ms	y	@	-inf	(+.f64 (neg.f64 x) (*.f64 y x))

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1580×	`bool.json-1`
1580×	`bool.json-2`
1526×	`rational.json-1`
1526×	`rational.json-2`
1526×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	102	32
2	277	32
3	607	32
4	1394	32
5	3113	32
6	5905	32

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 y -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x y) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x (+.f64 y -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x (*.f64 y 1/2)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x -1/2) (*.f64 x (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (+.f64 y -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (+.f64 y -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (+.f64 y -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 (*.f64 y 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 -1/2 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 x (+.f64 y -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (+.f64 y -1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 y -1)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 x (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 x (+.f64 y y)) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 x -2) (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 2 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (+.f64 (+.f64 y y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (+.f64 -2 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (+.f64 y -1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y -1) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 x (+.f64 y -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y -1) 2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 y -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 y -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 y -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 y -1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (+.f64 y -1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x (+.f64 y -1)) 8)) (*.f64 2 (*.f64 (*.f64 x (+.f64 y -1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x y) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 1 x) (+.f64 (*.f64 x y) 918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))))))

simplify374.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

2456×	`rational.json-simplify-2`
1756×	`rational.json-simplify-35`
1438×	`rational.json-simplify-1`
1144×	`rational.json-simplify-52`
850×	`rational.json-simplify-48`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	126	1547
1	251	1533
2	634	1533
3	1378	1533
4	2666	1533
5	3408	1533
6	3675	1533
7	3932	1533
8	4196	1533
9	4493	1533
10	5002	1533
11	5390	1533
12	5682	1533
13	6291	1533
14	6859	1533
15	7718	1533
16	7887	1533

Stop Event

1×	node limit

Counts

101 → 70

Calls

Call 1

Inputs
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
918938533204673/1000000000000000
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(*.f64 (-.f64 y 1) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(-.f64 (*.f64 x (+.f64 y -1)) 0)
(-.f64 (+.f64 (*.f64 x y) (-.f64 1 x)) 1)
(*.f64 x (+.f64 y -1))
(.f64 (.f64 x (+.f64 y -1)) 1)
(.f64 1 (.f64 x (+.f64 y -1)))
(.f64 2 (.f64 (*.f64 x (+.f64 y -1)) 1/2))
(.f64 2 (+.f64 (.f64 x (.f64 y 1/2)) (.f64 x -1/2)))
(.f64 2 (+.f64 (.f64 x -1/2) (.f64 x (.f64 y 1/2))))
(.f64 (.f64 (*.f64 x (+.f64 y -1)) 2) 1/2)
(.f64 (+.f64 x x) (.f64 (+.f64 y -1) 1/2))
(*.f64 (+.f64 x x) (/.f64 (+.f64 y -1) 2))
(.f64 (+.f64 x x) (+.f64 (.f64 y 1/2) -1/2))
(.f64 (+.f64 x x) (+.f64 -1/2 (.f64 y 1/2)))
(*.f64 (+.f64 y -1) x)
(.f64 4 (/.f64 (.f64 x (+.f64 y -1)) 4))
(.f64 (.f64 (*.f64 x (+.f64 y -1)) 4) 1/4)
(.f64 (.f64 2 (+.f64 y -1)) (*.f64 x 1/2))
(.f64 1/2 (.f64 (*.f64 x (+.f64 y -1)) 2))
(.f64 1/2 (+.f64 (.f64 x (+.f64 y y)) (*.f64 x -2)))
(.f64 1/2 (+.f64 (.f64 x -2) (*.f64 x (+.f64 y y))))
(.f64 (.f64 x 1/2) (*.f64 2 (+.f64 y -1)))
(.f64 (.f64 x 1/2) (+.f64 (+.f64 y y) -2))
(.f64 (.f64 x 1/2) (+.f64 -2 (+.f64 y y)))
(.f64 (.f64 (*.f64 x (+.f64 y -1)) 1/2) 2)
(.f64 (.f64 (+.f64 y -1) 1/2) (+.f64 x x))
(.f64 1/4 (.f64 (*.f64 x (+.f64 y -1)) 4))
(*.f64 (/.f64 (+.f64 y -1) 2) (+.f64 x x))
(.f64 (/.f64 (.f64 x (+.f64 y -1)) 4) 4)
(/.f64 (*.f64 x (+.f64 y -1)) 1)
(/.f64 (.f64 (.f64 x (+.f64 y -1)) 2) 2)
(/.f64 (.f64 (.f64 x (+.f64 y -1)) 4) 4)
(/.f64 (.f64 (.f64 x (+.f64 y -1)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 x (+.f64 y -1)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x (+.f64 y -1)) 8)) (.f64 2 (.f64 (.f64 x (+.f64 y -1)) 8))) 32)
(-.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 0)
(-.f64 (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x y) (-.f64 1 x))) 1)
(-.f64 (+.f64 (-.f64 1 x) (+.f64 (*.f64 x y) 918938533204673/1000000000000000)) 1)
(.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)
(.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))
(.f64 2 (.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1/2))
(.f64 (.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4))
(.f64 (.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 2))
(.f64 (.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4))
(.f64 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4) 4)
(/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)
(/.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 8)) (.f64 2 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 8))) 32)

Outputs
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 -1 x)
(*.f64 x -1)
(neg.f64 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
918938533204673/1000000000000000
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (*.f64 x (+.f64 y -1)) 0)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 (*.f64 x y) (-.f64 1 x)) 1)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 (.f64 x (+.f64 y -1)) 1)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 1 (.f64 x (+.f64 y -1)))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 2 (.f64 (*.f64 x (+.f64 y -1)) 1/2))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 2 (+.f64 (.f64 x (.f64 y 1/2)) (.f64 x -1/2)))
(.f64 2 (.f64 x (+.f64 (*.f64 y 1/2) -1/2)))
(.f64 2 (+.f64 (.f64 x -1/2) (.f64 x (.f64 y 1/2))))
(.f64 2 (+.f64 (.f64 x (.f64 y 1/2)) (.f64 x -1/2)))
(.f64 2 (.f64 x (+.f64 (*.f64 y 1/2) -1/2)))
(.f64 (.f64 (*.f64 x (+.f64 y -1)) 2) 1/2)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 (+.f64 x x) (.f64 (+.f64 y -1) 1/2))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (+.f64 x x) (/.f64 (+.f64 y -1) 2))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 (+.f64 x x) (+.f64 (.f64 y 1/2) -1/2))
(.f64 (+.f64 x x) (+.f64 -1/2 (.f64 y 1/2)))
(.f64 (+.f64 x x) (+.f64 (.f64 y 1/2) -1/2))
(*.f64 (+.f64 y -1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 4 (/.f64 (.f64 x (+.f64 y -1)) 4))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 (.f64 (*.f64 x (+.f64 y -1)) 4) 1/4)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 (.f64 2 (+.f64 y -1)) (*.f64 x 1/2))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 1/2 (.f64 (*.f64 x (+.f64 y -1)) 2))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 1/2 (+.f64 (.f64 x (+.f64 y y)) (*.f64 x -2)))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 1/2 (+.f64 (.f64 x -2) (*.f64 x (+.f64 y y))))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 (.f64 x 1/2) (*.f64 2 (+.f64 y -1)))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 (.f64 x 1/2) (+.f64 (+.f64 y y) -2))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 (.f64 x 1/2) (+.f64 -2 (+.f64 y y)))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 (.f64 (*.f64 x (+.f64 y -1)) 1/2) 2)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 (.f64 (+.f64 y -1) 1/2) (+.f64 x x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 1/4 (.f64 (*.f64 x (+.f64 y -1)) 4))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (/.f64 (+.f64 y -1) 2) (+.f64 x x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(.f64 (/.f64 (.f64 x (+.f64 y -1)) 4) 4)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(/.f64 (*.f64 x (+.f64 y -1)) 1)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(/.f64 (.f64 (.f64 x (+.f64 y -1)) 2) 2)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(/.f64 (.f64 (.f64 x (+.f64 y -1)) 4) 4)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(/.f64 (.f64 (.f64 x (+.f64 y -1)) 8) 8)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(/.f64 (.f64 2 (.f64 (*.f64 x (+.f64 y -1)) 8)) 16)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x (+.f64 y -1)) 8)) (.f64 2 (.f64 (.f64 x (+.f64 y -1)) 8))) 32)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 0)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x y) (-.f64 1 x))) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 (-.f64 1 x) (+.f64 (*.f64 x y) 918938533204673/1000000000000000)) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 1 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 2 (.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 (.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 2) 1/2)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 4 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 (.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4) 1/4)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 1/2 (.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 2))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 (.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1/2) 2)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 1/4 (.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 (/.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4) 4)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 2) 2)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 4) 4)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 8) 8)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 8)) 16)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 8)) (.f64 2 (.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 8))) 32)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))

localize3.0ms (0%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

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)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite85.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`bool.json-1`
1672×	`bool.json-2`
1610×	`rational.json-1`
1610×	`rational.json-2`
1114×	`bool.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	98	32
2	252	32
3	534	32
4	1134	32
5	2674	32
6	5987	32

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (/.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.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 -2) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 y (+.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 1/2) (+.f64 x -1/2)) (*.f64 (*.f64 y 1/2) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 1/2 (*.f64 2 (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (neg.f64 (-.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 y (*.f64 2 (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) (*.f64 2 (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) (+.f64 x (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 y 1/2) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 y (*.f64 x 1/2)) (*.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 2 (+.f64 x -1/2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 1/2 (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (*.f64 2 (+.f64 x -1/2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (+.f64 x -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (-.f64 (*.f64 x 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (-.f64 (*.f64 (+.f64 x x) 1/4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 x -1/2) (*.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 y (+.f64 x -1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 (+.f64 x -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 (+.f64 x -1/2) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 y (-.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 y 8) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 8) (*.f64 1/8 (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 x -1/2)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 y (*.f64 (+.f64 x -1/2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y 1/2) (+.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 x -1/2)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 2 (+.f64 x -1/2))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (+.f64 x -1/2)) 1/4) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -1/2) (*.f64 y 1/4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -1/2) 1/4) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1/2) 2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (-.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1/2 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (+.f64 x -1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 x 1)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 2 (+.f64 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (+.f64 x -1/2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y (*.f64 y (+.f64 x x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y (+.f64 x -1/2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (-.f64 1/2 x)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 y (*.f64 y (+.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 y (+.f64 x -1/2)) 8)) (*.f64 2 (*.f64 (*.f64 y (+.f64 x -1/2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (-.f64 y (*.f64 y (+.f64 x x)))) (neg.f64 (-.f64 y (*.f64 y (+.f64 x x))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y (-.f64 1/2 x)) 4) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (-.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 y (+.f64 x -1/2)) (*.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y (+.f64 x -1/2)) (*.f64 y (+.f64 x -1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))))

simplify181.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1896×	`rational.json-simplify-35`
1324×	`rational.json-simplify-52`
1054×	`rational.json-simplify-51`
1022×	`rational.json-simplify-2`
938×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	164	1924
1	336	1886
2	807	1886
3	1970	1886
4	4496	1886
5	5251	1886
6	5623	1886
7	6167	1886
8	7099	1886

Stop Event

1×	node limit

Counts

124 → 99

Calls

Call 1

Inputs
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) (.f64 1/2 y))
(+.f64 (*.f64 y x) (/.f64 y -2))
(+.f64 (*.f64 y (+.f64 x -1/2)) 0)
(+.f64 0 (*.f64 y (+.f64 x -1/2)))
(+.f64 (/.f64 y -2) (*.f64 y x))
(+.f64 -1 (+.f64 (*.f64 y (+.f64 x -1/2)) 1))
(+.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 1) -1)
(+.f64 (.f64 (.f64 y 1/2) (+.f64 x -1/2)) (.f64 (.f64 y 1/2) (+.f64 x -1/2)))
(*.f64 y (+.f64 x -1/2))
(.f64 y (.f64 1/2 (*.f64 2 (+.f64 x -1/2))))
(*.f64 y (neg.f64 (-.f64 1/2 x)))
(.f64 1/2 (.f64 y (*.f64 2 (+.f64 x -1/2))))
(.f64 (.f64 y 1/2) (*.f64 2 (+.f64 x -1/2)))
(.f64 (.f64 y 1/2) (+.f64 x (-.f64 x 1)))
(.f64 (.f64 y (+.f64 x -1/2)) 1)
(.f64 1 (.f64 y (+.f64 x -1/2)))
(.f64 2 (.f64 (*.f64 y 1/2) (+.f64 x -1/2)))
(.f64 2 (-.f64 (.f64 y (.f64 x 1/2)) (.f64 y 1/4)))
(.f64 (.f64 y (*.f64 2 (+.f64 x -1/2))) 1/2)
(.f64 (+.f64 y y) (.f64 1/2 (+.f64 x -1/2)))
(.f64 (+.f64 y y) (.f64 (*.f64 2 (+.f64 x -1/2)) 1/4))
(*.f64 (+.f64 y y) (/.f64 (+.f64 x -1/2) 2))
(.f64 (+.f64 y y) (-.f64 (.f64 x 1/2) 1/4))
(.f64 (+.f64 y y) (-.f64 (.f64 (+.f64 x x) 1/4) 1/4))
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(*.f64 (+.f64 x -1/2) y)
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(*.f64 (-.f64 1/2 x) (neg.f64 y))
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(.f64 (.f64 (*.f64 y 1/2) (+.f64 x -1/2)) 2)
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(.f64 (.f64 (+.f64 x -1/2) (*.f64 y 1/4)) 4)
(.f64 (.f64 (+.f64 x -1/2) 1/4) (*.f64 y 4))
(*.f64 (/.f64 (+.f64 x -1/2) 2) (+.f64 y y))
(*.f64 (neg.f64 y) (-.f64 1/2 x))
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(.f64 (/.f64 (.f64 y (+.f64 x -1/2)) 4) 4)
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(/.f64 (.f64 y (.f64 (+.f64 x -1/2) 4)) 4)
(/.f64 (.f64 (.f64 y (+.f64 x -1/2)) 8) 8)
(/.f64 (-.f64 y (*.f64 y (+.f64 x x))) -2)
(/.f64 (.f64 2 (.f64 (*.f64 y (+.f64 x -1/2)) 8)) 16)
(/.f64 (.f64 (.f64 y (-.f64 1/2 x)) 4) -4)
(/.f64 (neg.f64 (-.f64 y (*.f64 y (+.f64 x x)))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 y (+.f64 x -1/2)) 8)) (.f64 2 (.f64 (.f64 y (+.f64 x -1/2)) 8))) 32)
(/.f64 (+.f64 (neg.f64 (-.f64 y (.f64 y (+.f64 x x)))) (neg.f64 (-.f64 y (.f64 y (+.f64 x x))))) 4)
(/.f64 (/.f64 (.f64 (.f64 y (-.f64 1/2 x)) 4) -1) 4)
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(.f64 2 (.f64 1/2 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))
(.f64 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4))
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Outputs
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(.f64 (+.f64 x (-.f64 x 1)) (.f64 y 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(/.f64 (*.f64 y (+.f64 x -1/2)) 1)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(/.f64 (.f64 y (.f64 2 (+.f64 x -1/2))) 2)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(/.f64 (*.f64 y (-.f64 1/2 x)) -1)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(/.f64 (.f64 y (.f64 (+.f64 x -1/2) 4)) 4)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(/.f64 (.f64 (.f64 y (+.f64 x -1/2)) 8) 8)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(/.f64 (-.f64 y (*.f64 y (+.f64 x x))) -2)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(/.f64 (.f64 2 (.f64 (*.f64 y (+.f64 x -1/2)) 8)) 16)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(/.f64 (.f64 (.f64 y (-.f64 1/2 x)) 4) -4)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(/.f64 (neg.f64 (-.f64 y (*.f64 y (+.f64 x x)))) 2)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 y (+.f64 x -1/2)) 8)) (.f64 2 (.f64 (.f64 y (+.f64 x -1/2)) 8))) 32)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(/.f64 (+.f64 (neg.f64 (-.f64 y (.f64 y (+.f64 x x)))) (neg.f64 (-.f64 y (.f64 y (+.f64 x x))))) 4)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(/.f64 (/.f64 (.f64 (.f64 y (-.f64 1/2 x)) 4) -1) 4)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(neg.f64 (*.f64 y (-.f64 1/2 x)))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 0)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 1/2 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 1)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 1 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 2 (.f64 1/2 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2) 1/2)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 4 (/.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 1/4)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 (.f64 1/2 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)) 2)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 1/4 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4))
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(.f64 (/.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 4)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(/.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 1)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 2) 2)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 4) 4)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8) 8)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8)) 16)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8)) (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) 8))) 32)
(+.f64 (*.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))

eval46.0ms (0.6%)

Compiler: Compiled 2013 to 1494 computations (25.8% saved)

prune32.0ms (0.4%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	195	6	201
Fresh	0	1	1
Picked	1	0	1
Done	2	4	6
Total	198	11	209

Error

Counts

209 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.0b	(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
▶	25.4b	(-.f64 918938533204673/1000000000000000 x)
	20.6b	(+.f64 (.f64 (+.f64 x (-.f64 x 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
▶	38.3b	(+.f64 (.f64 -1/2 y) (.f64 y x))
✓	28.2b	(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
✓	35.0b	(*.f64 (-.f64 y 1) x)
✓	38.3b	(*.f64 y (-.f64 x 1/2))
✓	54.9b	(*.f64 y x)
▶	46.1b	(*.f64 -1/2 y)
▶	43.6b	(neg.f64 x)
	44.8b	918938533204673/1000000000000000

Compiler

Compiled 119 to 88 computations (26.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 9 computations (55% saved)

series3.0ms (0%)

Counts

2 → 21

Calls

12 calls:

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

rewrite91.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`bool.json-1`
1764×	`bool.json-2`
1712×	`rational.json-1`
1712×	`rational.json-2`
1146×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	81	32
2	229	32
3	513	32
4	1152	32
5	2791	32
6	6272	32

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 8)) (*.f64 2 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 918938533204673/1000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 (*.f64 y x) x) 1918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 y x) x) 1918938533204673/1000000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 918938533204673/1000000000000000 (neg.f64 x)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 1/2) (*.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 y (*.f64 x 1/2)) (/.f64 (+.f64 x -918938533204673/1000000000000000) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 1/2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y x))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 8)) (*.f64 2 (*.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y x))))) (neg.f64 (*.f64 2 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y x)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y x))) 4) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)))))))

simplify348.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1852×	`rational.json-simplify-52`
1722×	`rational.json-simplify-35`
1718×	`rational.json-simplify-2`
1194×	`rational.json-simplify-48`
1126×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	1322
1	252	1322
2	609	1322
3	1476	1322
4	3004	1322
5	3827	1322
6	4246	1322
7	5187	1322
8	6017	1322
9	6445	1322
10	7187	1322
11	7416	1322
12	7455	1322
13	7457	1322
14	7457	1322

Stop Event

1×	node limit

Counts

80 → 73

Calls

Call 1

Inputs
918938533204673/1000000000000000
(*.f64 y x)
(*.f64 y x)
918938533204673/1000000000000000
(*.f64 y x)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y x)
(*.f64 y x)
918938533204673/1000000000000000
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(*.f64 (-.f64 y 1) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 0)
(.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 1)
(.f64 1 (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 1/2))
(.f64 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 2) 1/2)
(.f64 4 (/.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 4))
(.f64 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 2))
(.f64 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 4))
(.f64 (/.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 4) 4)
(/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 1)
(/.f64 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 2) 2)
(/.f64 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 4) 4)
(/.f64 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 8)) (.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 8))) 32)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 y x) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(+.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (neg.f64 x))
(+.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 0)
(+.f64 0 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)))
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x))
(+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
(+.f64 (neg.f64 x) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 -1 (+.f64 (-.f64 (*.f64 y x) x) 1918938533204673/1000000000000000))
(+.f64 (+.f64 (-.f64 (*.f64 y x) x) 1918938533204673/1000000000000000) -1)
(+.f64 (+.f64 918938533204673/1000000000000000 (neg.f64 x)) (*.f64 y x))
(+.f64 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 1/2) (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 1/2))
(.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 1)
(.f64 1 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)))
(.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 1/2))
(.f64 2 (+.f64 (.f64 y (*.f64 x 1/2)) (/.f64 (+.f64 x -918938533204673/1000000000000000) -2)))
(.f64 2 (-.f64 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 1/2) (.f64 x 1/2)))
(.f64 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 2) 1/2)
(.f64 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x))) -1)
(.f64 4 (/.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 4))
(.f64 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 4) 1/4)
(.f64 -1 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x))))
(.f64 1/2 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 2))
(.f64 1/2 (+.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 y (+.f64 x x))))
(.f64 1/2 (-.f64 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 2) (+.f64 x x)))
(.f64 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 4))
(.f64 (/.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 4) 4)
(/.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 1)
(/.f64 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 2) 2)
(/.f64 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y x))) -1)
(/.f64 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 4) 4)
(/.f64 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 8) 8)
(/.f64 (.f64 2 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x)))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 8)) 16)
(/.f64 (.f64 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x))) 4) -4)
(/.f64 (neg.f64 (.f64 2 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 8)) (.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x))))) (neg.f64 (.f64 2 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x)))))) 4)
(/.f64 (/.f64 (.f64 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x))) 4) -1) 4)
(neg.f64 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y x))))

Outputs
918938533204673/1000000000000000
(*.f64 y x)
(*.f64 y x)
918938533204673/1000000000000000
(*.f64 y x)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y x)
(*.f64 y x)
918938533204673/1000000000000000
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 0)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(.f64 1 (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(.f64 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 2) 1/2)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(.f64 4 (/.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 4))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(.f64 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 4) 1/4)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(.f64 1/2 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 2))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(.f64 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 1/2) 2)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(.f64 1/4 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 4))
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(.f64 (/.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 4) 4)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(/.f64 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 2) 2)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(/.f64 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 4) 4)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(/.f64 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 8) 8)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(/.f64 (.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 8)) 16)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 8)) (.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 8))) 32)
(+.f64 918938533204673/1000000000000000 (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
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(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 0)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 0 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (-.f64 (*.f64 y x) x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (neg.f64 x) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 -1 (+.f64 (-.f64 (*.f64 y x) x) 1918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 y x) x) 1918938533204673/1000000000000000) -1)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
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(.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 1)
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(.f64 2 (+.f64 (.f64 x (*.f64 y 1/2)) (/.f64 (+.f64 x -918938533204673/1000000000000000) -2)))
(.f64 2 (-.f64 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y x)) 1/2) (.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 2) 1/2)
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(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
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(.f64 4 (/.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 4))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 4) 1/4)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 -1 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x))))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 1/2 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 2))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 1/2 (+.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 y (+.f64 x x))))
(.f64 1/2 (-.f64 (.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 2) (+.f64 x x)))
(.f64 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 1/2) 2)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 1/4 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 4))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(.f64 (/.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 4) 4)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 1)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 2) 2)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y x))) -1)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 4) 4)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 8) 8)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (.f64 2 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x)))) -2)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) x)) 8)) 16)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (.f64 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x))) 4) -4)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (neg.f64 (.f64 2 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x))))) 2)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 8)) (.f64 2 (.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) x)) 8))) 32)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x))))) (neg.f64 (.f64 2 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x)))))) 4)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (/.f64 (.f64 (-.f64 x (+.f64 918938533204673/1000000000000000 (.f64 y x))) 4) -1) 4)
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))
(neg.f64 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y x))))
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))

localize3.0ms (0%)

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

localize3.0ms (0%)

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

localize3.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite104.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2068×	`bool.json-1`
1286×	`bool.json-2`
1248×	`rational.json-simplify-35`
1236×	`rational.json-1`
1236×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	80	13
2	217	13
3	467	13
4	968	13
5	2140	13
6	4578	13
7	7885	13

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (+.f64 -1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (+.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y (/.f64 (+.f64 -1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 y -1/4) (*.f64 y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (+.f64 -1/2 x) 1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 2 (+.f64 -1/2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (+.f64 -1/2 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (+.f64 -1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (+.f64 -1/4 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/2 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 y (+.f64 -1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 4 (+.f64 -1/2 x))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 -1/2 x)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 y (*.f64 2 (+.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (neg.f64 y) (*.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 (+.f64 -1/2 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) (*.f64 2 (+.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) (+.f64 (+.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1/2 x) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 y (*.f64 4 (+.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1/2 x) 2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (+.f64 -1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 2 (+.f64 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 4 (+.f64 -1/2 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (+.f64 -1/2 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y (+.f64 -1/2 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (+.f64 -1/2 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (+.f64 -1/2 x)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (+.f64 -1/2 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 y (+.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 y (+.f64 -1/2 x)) (*.f64 y (+.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y (+.f64 -1/2 x)) (*.f64 y (+.f64 -1/2 x)))))))

simplify719.0ms (9%)

Algorithm

1×	egg-herbie

Rules

3322×	`rational.json-simplify-35`
2062×	`rational.json-simplify-1`
1916×	`rational.json-simplify-48`
1782×	`rational.json-simplify-2`
864×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	664
1	181	636
2	377	636
3	1239	636
4	2427	636
5	3553	636
6	4305	636
7	4511	636
8	4680	636
9	4920	636
10	5211	636
11	5445	636
12	5938	636
13	6142	636
14	6502	636
15	6664	636
16	6664	636
17	6666	636
18	6763	636
19	6858	636
20	7083	636
21	7222	636
22	7361	636
23	7462	636
24	7555	636
25	7648	636
26	7741	636

Stop Event

1×	node limit

Counts

46 → 43

Calls

Call 1

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

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

eval22.0ms (0.3%)

Compiler: Compiled 1119 to 699 computations (37.5% saved)

prune20.0ms (0.2%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	2	2
Picked	0	1	1
Done	1	7	8
Total	116	11	127

Error

Counts

127 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	35.0b	(-.f64 (*.f64 y x) x)
✓	25.4b	(-.f64 918938533204673/1000000000000000 x)
	20.6b	(+.f64 (.f64 (+.f64 x (-.f64 x 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
✓	38.3b	(+.f64 (.f64 -1/2 y) (.f64 y x))
✓	28.2b	(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
✓	35.0b	(*.f64 (-.f64 y 1) x)
✓	38.3b	(*.f64 y (-.f64 x 1/2))
✓	54.9b	(*.f64 y x)
✓	46.1b	(*.f64 -1/2 y)
✓	43.6b	(neg.f64 x)
	44.8b	918938533204673/1000000000000000

Compiler

Compiled 72 to 53 computations (26.4% saved)

regimes41.0ms (0.5%)

Counts

19 → 1

Calls

Call 1

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

Calls

4 calls:

11.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
10.0ms	y
9.0ms	x
8.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Results

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

Compiler

Compiled 145 to 90 computations (37.9% saved)

regimes23.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
9.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`

Compiler

Compiled 110 to 64 computations (41.8% saved)

regimes49.0ms (0.6%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	x
23.0ms	y

Results

Error	Segments	Branch
0.4b	3	`x`
0.6b	3	`y`

Compiler

Compiled 89 to 50 computations (43.8% saved)

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	3.939488035470421e-38	5.1808661219950835e-30
13.0ms	-14740280.11391023	-63945.90558391673

Results

25.0ms

256×

body

256

valid

Compiler

Compiled 370 to 286 computations (22.7% saved)

regimes49.0ms (0.6%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	x
23.0ms	y

Results

Error	Segments	Branch
0.4b	3	`x`
0.6b	3	`y`

Compiler

Compiled 80 to 45 computations (43.8% saved)

bsearch28.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	3.939488035470421e-38	5.1808661219950835e-30
12.0ms	-14740280.11391023	-63945.90558391673

Results

24.0ms

256×

body

256

valid

Compiler

Compiled 338 to 270 computations (20.1% saved)

regimes42.0ms (0.5%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	x
20.0ms	y

Results

Error	Segments	Branch
1.0b	3	`x`
1.6b	3	`y`

Compiler

Compiled 58 to 34 computations (41.4% saved)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	6.875795999559287e-7	115733996952161.72
12.0ms	-14740280.11391023	-63945.90558391673

Results

27.0ms

288×

body

256

valid

Compiler

Compiled 342 to 266 computations (22.2% saved)

regimes39.0ms (0.5%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	y
18.0ms	x

Results

Error	Segments	Branch
1.5b	3	`x`
2.1b	3	`y`

Compiler

Compiled 51 to 29 computations (43.1% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	6.875795999559287e-7	115733996952161.72
16.0ms	-63945.90558391673	-0.17890390871090597

Results

30.0ms

320×

body

256

valid

Compiler

Compiled 338 to 274 computations (18.9% saved)

regimes46.0ms (0.6%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	x
15.0ms	y

Results

Error	Segments	Branch
13.8b	6	`x`
2.2b	3	`y`

Compiler

Compiled 34 to 21 computations (38.2% saved)

bsearch23.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	0.8332286219781533	2.364689922758369
14.0ms	-848.933060354832	-0.29189197902147296

Results

20.0ms

208×

body

256

valid

Compiler

Compiled 200 to 157 computations (21.5% saved)

regimes36.0ms (0.5%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	x
13.0ms	y

Results

Error	Segments	Branch
21.3b	5	`x`
9.5b	3	`y`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch21.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
8.0ms	0.8332286219781533	2.364689922758369
12.0ms	-14476453796820976000.0	-822330720342328800.0

Results

18.0ms	192×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 162 to 134 computations (17.3% saved)

regimes49.0ms (0.6%)

Counts

4 → 9

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	y
17.0ms	x

Results

Error	Segments	Branch
23.9b	5	`x`
21.0b	9	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch95.0ms (1.2%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
14.0ms	0.0005512598874770371	0.8332286219781533
16.0ms	2.7258416938323966e-34	1.2851403143341646e-30
7.0ms	8.931575094078147e-80	1.576256177309835e-79
12.0ms	3.093682395947294e-279	3.523344304170023e-277
12.0ms	-6.839457308517321e-296	-3.4842506370956016e-298
8.0ms	-3.971919944631368e-242	-1.7921513519677164e-242
12.0ms	-3.633676349931997e-168	-1.0529995377673893e-169
14.0ms	-9021522972.005451	-6423620.172662059

Results

84.0ms

864×

body

256

valid

Compiler

Compiled 520 to 462 computations (11.2% saved)

regimes34.0ms (0.4%)

Accuracy

Total -35.9b remaining (-136.7%)

Threshold costs -35.9b (-136.7%)

Counts

2 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)

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

Calls

2 calls:

24.0ms	y
9.0ms	x

Results

Error	Segments	Branch
26.3b	3	`x`
35.7b	9	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	6.875795999559287e-7	115733996952161.72
12.0ms	-14740280.11391023	-63945.90558391673

Results

27.0ms

288×

body

256

valid

Compiler

Compiled 180 to 158 computations (12.2% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	561

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 x 1/2))) 918938533204673/1000000000000000)
(if (<=.f64 x -65000) (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (if (<=.f64 x 7278963232800395/1427247692705959881058285969449495136382746624) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)))
(if (<=.f64 x -65000) (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (if (<=.f64 x 7278963232800395/1427247692705959881058285969449495136382746624) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)))
(if (<=.f64 x -1050000) (.f64 (-.f64 y 1) x) (if (<=.f64 x 2800) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 x -3332663724254167/4503599627370496) (.f64 (-.f64 y 1) x) (if (<=.f64 x 8286623314361713/9007199254740992) (+.f64 (.f64 -1/2 y) 918938533204673/1000000000000000) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 y -3422735716801577/2251799813685248) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -840000000000000000) (.f64 -1/2 y) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 -1/2 y)))
(if (<=.f64 y -6500000) (.f64 -1/2 y) (if (<=.f64 y -900810035817237/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048) 918938533204673/1000000000000000 (if (<=.f64 y -4684690501174133/120120269260875203679538523128148109780988153496792056586846390252202105001907707327158563177285302093576864306955287401906923050660835892188183374506238482560635630761454441237386053598226326597119676286686442018469285424714953873908233822195833562657193984) (neg.f64 x) (if (<=.f64 y -809968618843565/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) 918938533204673/1000000000000000 (if (<=.f64 y 146179710171/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (neg.f64 x) (if (<=.f64 y 4071725287224235/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) 918938533204673/1000000000000000 (if (<=.f64 y 6722907531722153/2923003274661805836407369665432566039311865085952) (neg.f64 x) (if (<=.f64 y 7385903388887613/9007199254740992) 918938533204673/1000000000000000 (.f64 -1/2 y)))))))))
(if (<=.f64 x -65000) (neg.f64 x) (if (<=.f64 x 8286623314361713/9007199254740992) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 x 1/2))) 918938533204673/1000000000000000)
(if (<=.f64 x -65000) (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (if (<=.f64 x 7278963232800395/1427247692705959881058285969449495136382746624) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000) (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)))
(if (<=.f64 x -65000) (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (if (<=.f64 x 7278963232800395/1427247692705959881058285969449495136382746624) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)))
(if (<=.f64 x -1050000) (.f64 (-.f64 y 1) x) (if (<=.f64 x 2800) (+.f64 (.f64 y (-.f64 x 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 x -3332663724254167/4503599627370496) (.f64 (-.f64 y 1) x) (if (<=.f64 x 8286623314361713/9007199254740992) (+.f64 (.f64 -1/2 y) 918938533204673/1000000000000000) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 y -3422735716801577/2251799813685248) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -840000000000000000) (.f64 -1/2 y) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 -1/2 y)))
(if (<=.f64 y -6500000) (.f64 -1/2 y) (if (<=.f64 y -900810035817237/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048) 918938533204673/1000000000000000 (if (<=.f64 y -4684690501174133/120120269260875203679538523128148109780988153496792056586846390252202105001907707327158563177285302093576864306955287401906923050660835892188183374506238482560635630761454441237386053598226326597119676286686442018469285424714953873908233822195833562657193984) (neg.f64 x) (if (<=.f64 y -809968618843565/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) 918938533204673/1000000000000000 (if (<=.f64 y 146179710171/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (neg.f64 x) (if (<=.f64 y 4071725287224235/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) 918938533204673/1000000000000000 (if (<=.f64 y 6722907531722153/2923003274661805836407369665432566039311865085952) (neg.f64 x) (if (<=.f64 y 7385903388887613/9007199254740992) 918938533204673/1000000000000000 (.f64 -1/2 y)))))))))
(if (<=.f64 x -65000) (neg.f64 x) (if (<=.f64 x 8286623314361713/9007199254740992) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000

Compiler

Compiled 251 to 181 computations (27.9% saved)

soundness0.0ms (0%)

end263.0ms (3.3%)

Compiler: Compiled 231 to 159 computations (31.2% saved)

Details

analyze63.0ms (0.8%)

sample1.1s (13.7%)

preprocess4.0ms (0%)

simplify8.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.2%)

series3.0ms (0%)

rewrite89.0ms (1.1%)

simplify303.0ms (3.8%)

eval19.0ms (0.2%)

prune13.0ms (0.2%)

localize13.0ms (0.2%)

series3.0ms (0%)

rewrite85.0ms (1.1%)

simplify1.2s (14.4%)

localize4.0ms (0.1%)

localize7.0ms (0.1%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite99.0ms (1.2%)

simplify923.0ms (11.5%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite110.0ms (1.4%)

simplify765.0ms (9.6%)

eval34.0ms (0.4%)

prune22.0ms (0.3%)

localize8.0ms (0.1%)

series4.0ms (0.1%)

rewrite90.0ms (1.1%)

simplify374.0ms (4.7%)

localize3.0ms (0%)

localize5.0ms (0.1%)

localize6.0ms (0.1%)

localize10.0ms (0.1%)

series3.0ms (0%)

rewrite85.0ms (1.1%)

simplify181.0ms (2.3%)

eval46.0ms (0.6%)

prune32.0ms (0.4%)

localize7.0ms (0.1%)

series3.0ms (0%)

rewrite91.0ms (1.1%)

simplify348.0ms (4.4%)

localize3.0ms (0%)

localize3.0ms (0%)

localize3.0ms (0%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite104.0ms (1.3%)

simplify719.0ms (9%)

eval22.0ms (0.3%)

prune20.0ms (0.2%)

regimes41.0ms (0.5%)

regimes23.0ms (0.3%)

regimes49.0ms (0.6%)

bsearch29.0ms (0.4%)

regimes49.0ms (0.6%)

bsearch28.0ms (0.4%)

regimes42.0ms (0.5%)

bsearch31.0ms (0.4%)

regimes39.0ms (0.5%)

bsearch35.0ms (0.4%)

regimes46.0ms (0.6%)

bsearch23.0ms (0.3%)

regimes36.0ms (0.5%)

bsearch21.0ms (0.3%)

regimes49.0ms (0.6%)

bsearch95.0ms (1.2%)

regimes34.0ms (0.4%)

bsearch31.0ms (0.4%)

simplify9.0ms (0.1%)

soundness0.0ms (0%)

end263.0ms (3.3%)

Profiling