Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
81.3%	81.2%	18.7%	0%	0%	0%	0%	5
90.6%	90.6%	9.4%	0%	0%	0%	0%	6
95.3%	95.3%	4.7%	0%	0%	0%	0%	7
97.7%	97.6%	2.3%	0%	0%	0%	0%	8
98.8%	98.8%	1.2%	0%	0%	0%	0%	9
99.4%	99.4%	0.6%	0%	0%	0%	0%	10
99.7%	99.7%	0.3%	0%	0%	0%	0%	11
99.9%	99.8%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample579.0ms (25.9%)

Results

568.0ms

8256×

body

256

valid

Bogosity

preprocess143.0ms (6.4%)

Algorithm

2×	egg-herbie

Rules

1040×	`rational.json-simplify-55`
958×	`rational.json-simplify-51`
952×	`rational.json-simplify-52`
920×	`rational.json-simplify-35`
810×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	13	13
2	27	13
3	56	13
4	133	13
5	344	13
6	1256	13
7	2608	13
8	4502	13
9	5841	13
10	6809	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify134.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1040×	`rational.json-simplify-55`
958×	`rational.json-simplify-51`
952×	`rational.json-simplify-52`
920×	`rational.json-simplify-35`
810×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	13	13
2	27	13
3	56	13
4	133	13
5	344	13
6	1256	13
7	2608	13
8	4502	13
9	5841	13
10	6809	13

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite89.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1968×	`bool.json-1`
1968×	`bool.json-2`
1670×	`bool.json-3`
636×	`rational.json-simplify-35`
626×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	73	13
2	278	13
3	672	13
4	1680	13
5	5605	13

Stop Event

1×	node limit

Counts

1 → 71

Calls

Call 1

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

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

Outputs

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

simplify108.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1194×	`rational.json-simplify-2`
806×	`rational.json-simplify-41`
752×	`rational.json-simplify-46`
700×	`rational.json-simplify-35`
692×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	186	1835
1	448	1817
2	1095	1793
3	3231	1647
4	6158	1641
5	7926	1641

Stop Event

1×	node limit

Counts

83 → 130

Calls

Call 1

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

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

eval32.0ms (1.4%)

Compiler: Compiled 1564 to 1190 computations (23.9% saved)

prune16.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	125	5	130
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	6	131

Error

Counts

131 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	34.4b	(-.f64 -1 (/.f64 1 x))
▶	17.6b	(.f64 (/.f64 (-.f64 1 x) x) (/.f64 2 (.f64 (/.f64 (-.f64 1 x) x) (-.f64 (/.f64 2 x) 2))))
▶	0.1b	(*.f64 (/.f64 1 (-.f64 1 x)) x)
	29.3b	x
	34.1b	-1

Compiler

Compiled 44 to 33 computations (25% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 1 x))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 1 x)) x)

Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite70.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`rational.json-simplify-35`
1226×	`bool.json-1`
1226×	`bool.json-2`
1188×	`rational.json-1`
1188×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	84	26
2	283	26
3	606	26
4	1316	26
5	3738	26

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

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

Outputs

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

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

simplify84.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1584×	`rational.json-simplify-35`
1490×	`rational.json-simplify-2`
1020×	`rational.json-simplify-49`
900×	`rational.json-simplify-61`
874×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	2370
1	692	2334
2	1933	2298
3	6287	2298

Stop Event

1×	node limit

Counts

126 → 165

Calls

Call 1

Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(+.f64 (/.f64 1 (-.f64 1 x)) -1)
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(+.f64 0 (/.f64 x (-.f64 1 x)))
(+.f64 -1 (/.f64 1 (-.f64 1 x)))
(+.f64 (-.f64 (/.f64 1/2 (-.f64 1 x)) 1/2) (-.f64 (/.f64 1/2 (-.f64 1 x)) 1/2))
(-.f64 (/.f64 1 (-.f64 1 x)) 1)
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (*.f64 2 (/.f64 (-.f64 1 x) (-.f64 1 x))) 2))
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (-.f64 1 x)))
(-.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 x))
(/.f64 (/.f64 x (-.f64 1 x)) 1)
(/.f64 2 (-.f64 (/.f64 2 x) 2))
(/.f64 -1 (+.f64 (/.f64 -1 x) 1))
(/.f64 -1 (/.f64 (-.f64 1 x) (neg.f64 x)))
(/.f64 -1 (neg.f64 (+.f64 -1 (/.f64 1 x))))
(/.f64 (/.f64 2 (-.f64 1 x)) (/.f64 2 x))
(/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 4 (*.f64 4 (+.f64 -1 (/.f64 1 x))))
(/.f64 4 (/.f64 (*.f64 (+.f64 x -1) 4) (neg.f64 x)))
(/.f64 -2 (/.f64 (+.f64 x (+.f64 x -2)) x))
(/.f64 -2 (neg.f64 (-.f64 (/.f64 2 x) 2)))
(/.f64 -2 (+.f64 (neg.f64 (+.f64 -1 (/.f64 1 x))) (neg.f64 (+.f64 -1 (/.f64 1 x)))))
(/.f64 -2 (+.f64 (+.f64 (/.f64 -1 x) 1) (+.f64 (/.f64 -1 x) 1)))
(/.f64 -2 (+.f64 (/.f64 (-.f64 1 x) (neg.f64 x)) (/.f64 (-.f64 1 x) (neg.f64 x))))
(/.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) 2)
(/.f64 (+.f64 x x) (*.f64 (-.f64 1 x) 2))
(/.f64 (/.f64 4 (+.f64 -1 (/.f64 1 x))) 4)
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) 4) (+.f64 (/.f64 2 x) (/.f64 2 x)))
(/.f64 8 (.f64 2 (.f64 4 (+.f64 -1 (/.f64 1 x)))))
(/.f64 8 (/.f64 (*.f64 (-.f64 1 x) 8) x))
(/.f64 8 (+.f64 (/.f64 (.f64 (+.f64 x -1) 4) (neg.f64 x)) (/.f64 (.f64 (+.f64 x -1) 4) (neg.f64 x))))
(/.f64 -4 (+.f64 (neg.f64 (-.f64 (/.f64 2 x) 2)) (neg.f64 (-.f64 (/.f64 2 x) 2))))
(/.f64 -4 (+.f64 (/.f64 (+.f64 x (+.f64 x -2)) x) (/.f64 (+.f64 x (+.f64 x -2)) x)))
(/.f64 (.f64 x 4) (.f64 (-.f64 1 x) 4))
(/.f64 1/2 (*.f64 (-.f64 1 x) (/.f64 1/2 x)))
(/.f64 (neg.f64 x) (+.f64 x -1))
(/.f64 (+.f64 -1 (/.f64 1 x)) (*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x))))
(/.f64 (-.f64 (/.f64 2 x) 2) (.f64 2 (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))
(/.f64 (*.f64 2 (/.f64 4 (+.f64 -1 (/.f64 1 x)))) 8)
(/.f64 (*.f64 2 (neg.f64 x)) (+.f64 x (+.f64 x -2)))
(/.f64 16 (+.f64 (.f64 2 (.f64 4 (+.f64 -1 (/.f64 1 x)))) (.f64 2 (.f64 4 (+.f64 -1 (/.f64 1 x))))))
(/.f64 16 (+.f64 (/.f64 (.f64 (-.f64 1 x) 8) x) (/.f64 (.f64 (-.f64 1 x) 8) x)))
(/.f64 (.f64 2 (.f64 x 4)) (*.f64 (-.f64 1 x) 8))
(/.f64 (.f64 4 (+.f64 -1 (/.f64 1 x))) (.f64 (-.f64 (/.f64 2 x) 2) (-.f64 (/.f64 2 x) 2)))
(/.f64 (.f64 4 (+.f64 -1 (/.f64 1 x))) (+.f64 (.f64 2 (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (.f64 2 (*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x))))))
(/.f64 (-.f64 (/.f64 1/2 (-.f64 1 x)) 1/2) 1/2)
(/.f64 (.f64 x 1/2) (.f64 (-.f64 1 x) 1/2))
(/.f64 (neg.f64 (+.f64 x x)) (+.f64 x (+.f64 x -2)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (*.f64 (-.f64 1 x) 2)))
(/.f64 (.f64 2 (neg.f64 (+.f64 x x))) (.f64 (+.f64 x -1) 4))
(/.f64 (.f64 2 (neg.f64 (+.f64 x x))) (.f64 2 (neg.f64 (*.f64 (-.f64 1 x) 2))))
(/.f64 (.f64 2 (.f64 2 (.f64 x 4))) (.f64 2 (*.f64 (-.f64 1 x) 8)))
(/.f64 (.f64 2 (.f64 2 (neg.f64 x))) (*.f64 (+.f64 x -1) 4))
(/.f64 (.f64 2 (.f64 2 (/.f64 4 (+.f64 -1 (/.f64 1 x))))) 16)
(/.f64 (/.f64 (.f64 2 (.f64 x 4)) (-.f64 1 x)) 8)
(/.f64 (/.f64 x (+.f64 x -1)) -1)
(/.f64 (/.f64 x (*.f64 (-.f64 1 x) 4)) 1/4)
(/.f64 (/.f64 (neg.f64 x) (-.f64 1 x)) -1)
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 (-.f64 1 x) 4)))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (*.f64 (-.f64 1 x) 2))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (*.f64 (-.f64 1 x) 2))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 x))) (.f64 (-.f64 1 x) 2))
(/.f64 (+.f64 (/.f64 x (.f64 (-.f64 1 x) 4)) (/.f64 x (.f64 (-.f64 1 x) 4))) 1/2)
(/.f64 (+.f64 (.f64 2 (neg.f64 (+.f64 x x))) (.f64 2 (neg.f64 (+.f64 x x)))) (.f64 2 (.f64 2 (neg.f64 (*.f64 (-.f64 1 x) 2)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (/.f64 4 (+.f64 -1 (/.f64 1 x))))) (.f64 2 (.f64 2 (/.f64 4 (+.f64 -1 (/.f64 1 x)))))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 x 4))) (.f64 2 (neg.f64 (.f64 (-.f64 1 x) 4))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (+.f64 x x)))) (*.f64 (-.f64 1 x) 4))
(/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (+.f64 x x)))) (+.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 x) 2))) (neg.f64 (neg.f64 (.f64 (-.f64 1 x) 2)))))
(/.f64 (+.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x -1))) -2)
(/.f64 (+.f64 (/.f64 (.f64 2 (.f64 x 4)) (-.f64 1 x)) (/.f64 (.f64 2 (.f64 x 4)) (-.f64 1 x))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (neg.f64 x))) (.f64 2 (.f64 2 (neg.f64 x)))) (.f64 2 (.f64 (+.f64 x -1) 4)))
(/.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 1 x)) (/.f64 (neg.f64 x) (-.f64 1 x))) -2)
(/.f64 (+.f64 (neg.f64 (.f64 2 (neg.f64 x))) (neg.f64 (.f64 2 (neg.f64 x)))) (*.f64 (-.f64 1 x) 4))
(neg.f64 (/.f64 x (+.f64 x -1)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(+.f64 0 (/.f64 1 (-.f64 1 x)))
(+.f64 (/.f64 1/2 (-.f64 1 x)) (/.f64 1/2 (-.f64 1 x)))
(-.f64 (/.f64 1 (-.f64 1 x)) 0)
(*.f64 1 (/.f64 1 (-.f64 1 x)))
(.f64 (-.f64 1 x) (/.f64 1 (.f64 (-.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) 1)
(*.f64 2 (/.f64 1/2 (-.f64 1 x)))
(.f64 (.f64 (-.f64 1 x) 2) (/.f64 1/2 (*.f64 (-.f64 1 x) (-.f64 1 x))))
(.f64 -1 (/.f64 (+.f64 x -1) (.f64 (-.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 2 (-.f64 1 x)) 1/2)
(*.f64 4 (/.f64 (/.f64 1/2 (-.f64 1 x)) 2))
(.f64 (.f64 (/.f64 1 (-.f64 1 x)) 4) 1/4)
(*.f64 1/2 (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 1/2 (-.f64 1 x)) 2)
(.f64 (.f64 (-.f64 1 x) 1/2) (/.f64 2 (*.f64 (-.f64 1 x) (-.f64 1 x))))
(.f64 1/4 (.f64 (/.f64 1 (-.f64 1 x)) 4))
(.f64 (/.f64 1 (.f64 (-.f64 1 x) (-.f64 1 x))) (-.f64 1 x))
(.f64 (/.f64 2 (.f64 (-.f64 1 x) (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/2))
(*.f64 (/.f64 (/.f64 1/2 (-.f64 1 x)) 2) 4)
(.f64 (/.f64 (+.f64 x -1) (.f64 (-.f64 1 x) (-.f64 1 x))) -1)
(.f64 (/.f64 1/2 (.f64 (-.f64 1 x) (-.f64 1 x))) (*.f64 (-.f64 1 x) 2))
(neg.f64 (/.f64 (+.f64 x -1) (*.f64 (-.f64 1 x) (-.f64 1 x))))
(neg.f64 (/.f64 1 (+.f64 x -1)))
(neg.f64 (/.f64 -1 (-.f64 1 x)))

Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3)))
(+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 2)))
(+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 4))))
(+.f64 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 2))) (pow.f64 x 4))
(+.f64 (+.f64 x (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 x 4)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) 1)))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) 1)))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 (pow.f64 x 2) (+.f64 x 1))
(+.f64 x (+.f64 1 (pow.f64 x 2)))
(+.f64 x (+.f64 (pow.f64 x 2) 1))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 x (pow.f64 x 3)) 1))
(+.f64 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 2))) 1)
(+.f64 x (+.f64 (+.f64 (pow.f64 x 2) 1) (pow.f64 x 3)))
(+.f64 x (+.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 2) 1)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 4))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 4))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 1 (-.f64 1 x)) -1)
(+.f64 -1 (/.f64 -1 (+.f64 x -1)))
(+.f64 -1 (/.f64 1 (-.f64 1 x)))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(+.f64 0 (/.f64 x (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(+.f64 -1 (/.f64 1 (-.f64 1 x)))
(+.f64 -1 (/.f64 -1 (+.f64 x -1)))
(+.f64 (-.f64 (/.f64 1/2 (-.f64 1 x)) 1/2) (-.f64 (/.f64 1/2 (-.f64 1 x)) 1/2))
(+.f64 (-.f64 (/.f64 -1/2 (+.f64 x -1)) 1/2) (-.f64 (/.f64 -1/2 (+.f64 x -1)) 1/2))
(/.f64 (-.f64 (/.f64 1/2 (-.f64 1 x)) 1/2) 1/2)
(-.f64 (/.f64 1 (-.f64 1 x)) 1)
(+.f64 -1 (/.f64 -1 (+.f64 x -1)))
(+.f64 -1 (/.f64 1 (-.f64 1 x)))
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (*.f64 2 (/.f64 (-.f64 1 x) (-.f64 1 x))) 2))
(-.f64 (/.f64 -1 (+.f64 x -1)) (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 x)) 1))
(-.f64 (/.f64 -1 (+.f64 x -1)) (*.f64 1 (/.f64 (-.f64 1 x) (-.f64 1 x))))
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (-.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (+.f64 x -1)))
(-.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (-.f64 1 x)))
(-.f64 (/.f64 -1 (+.f64 x -1)) (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 x)) 1))
(-.f64 (/.f64 -1 (+.f64 x -1)) (*.f64 1 (/.f64 (-.f64 1 x) (-.f64 1 x))))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (+.f64 x -1)))
(-.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(/.f64 x (-.f64 1 x))
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 x))
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 x (-.f64 1 x)) 1)
(/.f64 x (-.f64 1 x))
(/.f64 2 (-.f64 (/.f64 2 x) 2))
(/.f64 x (-.f64 1 x))
(/.f64 -1 (+.f64 (/.f64 -1 x) 1))
(/.f64 x (-.f64 1 x))
(/.f64 -1 (/.f64 (-.f64 1 x) (neg.f64 x)))
(/.f64 x (-.f64 1 x))
(/.f64 -1 (neg.f64 (+.f64 -1 (/.f64 1 x))))
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 2 (-.f64 1 x)) (/.f64 2 x))
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 x (-.f64 1 x))
(/.f64 4 (*.f64 4 (+.f64 -1 (/.f64 1 x))))
(/.f64 x (-.f64 1 x))
(/.f64 4 (/.f64 (*.f64 (+.f64 x -1) 4) (neg.f64 x)))
(/.f64 x (-.f64 1 x))
(/.f64 -2 (/.f64 (+.f64 x (+.f64 x -2)) x))
(/.f64 x (-.f64 1 x))
(/.f64 -2 (neg.f64 (-.f64 (/.f64 2 x) 2)))
(/.f64 x (-.f64 1 x))
(/.f64 -2 (+.f64 (neg.f64 (+.f64 -1 (/.f64 1 x))) (neg.f64 (+.f64 -1 (/.f64 1 x)))))
(/.f64 x (-.f64 1 x))
(/.f64 -2 (+.f64 (+.f64 (/.f64 -1 x) 1) (+.f64 (/.f64 -1 x) 1)))
(/.f64 x (-.f64 1 x))
(/.f64 -2 (+.f64 (/.f64 (-.f64 1 x) (neg.f64 x)) (/.f64 (-.f64 1 x) (neg.f64 x))))
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) 2)
(/.f64 x (-.f64 1 x))
(/.f64 (+.f64 x x) (*.f64 (-.f64 1 x) 2))
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 4 (+.f64 -1 (/.f64 1 x))) 4)
(/.f64 x (-.f64 1 x))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) 4) (+.f64 (/.f64 2 x) (/.f64 2 x)))
(/.f64 x (-.f64 1 x))
(/.f64 8 (.f64 2 (.f64 4 (+.f64 -1 (/.f64 1 x)))))
(/.f64 x (-.f64 1 x))
(/.f64 8 (/.f64 (*.f64 (-.f64 1 x) 8) x))
(/.f64 x (-.f64 1 x))
(/.f64 8 (+.f64 (/.f64 (.f64 (+.f64 x -1) 4) (neg.f64 x)) (/.f64 (.f64 (+.f64 x -1) 4) (neg.f64 x))))
(/.f64 x (-.f64 1 x))
(/.f64 -4 (+.f64 (neg.f64 (-.f64 (/.f64 2 x) 2)) (neg.f64 (-.f64 (/.f64 2 x) 2))))
(/.f64 x (-.f64 1 x))
(/.f64 -4 (+.f64 (/.f64 (+.f64 x (+.f64 x -2)) x) (/.f64 (+.f64 x (+.f64 x -2)) x)))
(/.f64 x (-.f64 1 x))
(/.f64 (.f64 x 4) (.f64 (-.f64 1 x) 4))
(/.f64 x (-.f64 1 x))
(/.f64 1/2 (*.f64 (-.f64 1 x) (/.f64 1/2 x)))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 x) (+.f64 x -1))
(/.f64 x (-.f64 1 x))
(/.f64 (+.f64 -1 (/.f64 1 x)) (*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x))))
(/.f64 x (-.f64 1 x))
(/.f64 (-.f64 (/.f64 2 x) 2) (.f64 2 (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))
(/.f64 x (-.f64 1 x))
(/.f64 (*.f64 2 (/.f64 4 (+.f64 -1 (/.f64 1 x)))) 8)
(/.f64 x (-.f64 1 x))
(/.f64 (*.f64 2 (neg.f64 x)) (+.f64 x (+.f64 x -2)))
(/.f64 x (-.f64 1 x))
(/.f64 16 (+.f64 (.f64 2 (.f64 4 (+.f64 -1 (/.f64 1 x)))) (.f64 2 (.f64 4 (+.f64 -1 (/.f64 1 x))))))
(/.f64 x (-.f64 1 x))
(/.f64 16 (+.f64 (/.f64 (.f64 (-.f64 1 x) 8) x) (/.f64 (.f64 (-.f64 1 x) 8) x)))
(/.f64 x (-.f64 1 x))
(/.f64 (.f64 2 (.f64 x 4)) (*.f64 (-.f64 1 x) 8))
(/.f64 x (-.f64 1 x))
(/.f64 (.f64 4 (+.f64 -1 (/.f64 1 x))) (.f64 (-.f64 (/.f64 2 x) 2) (-.f64 (/.f64 2 x) 2)))
(/.f64 x (-.f64 1 x))
(/.f64 (.f64 4 (+.f64 -1 (/.f64 1 x))) (+.f64 (.f64 2 (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (.f64 2 (*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x))))))
(/.f64 x (-.f64 1 x))
(/.f64 (-.f64 (/.f64 1/2 (-.f64 1 x)) 1/2) 1/2)
(+.f64 (-.f64 (/.f64 -1/2 (+.f64 x -1)) 1/2) (-.f64 (/.f64 -1/2 (+.f64 x -1)) 1/2))
(/.f64 (.f64 x 1/2) (.f64 (-.f64 1 x) 1/2))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 (+.f64 x x)) (+.f64 x (+.f64 x -2)))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (*.f64 (-.f64 1 x) 2)))
(/.f64 x (-.f64 1 x))
(/.f64 (.f64 2 (neg.f64 (+.f64 x x))) (.f64 (+.f64 x -1) 4))
(/.f64 x (-.f64 1 x))
(/.f64 (.f64 2 (neg.f64 (+.f64 x x))) (.f64 2 (neg.f64 (*.f64 (-.f64 1 x) 2))))
(/.f64 x (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 x 4))) (.f64 2 (*.f64 (-.f64 1 x) 8)))
(/.f64 x (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (neg.f64 x))) (*.f64 (+.f64 x -1) 4))
(/.f64 x (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (/.f64 4 (+.f64 -1 (/.f64 1 x))))) 16)
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 (.f64 2 (.f64 x 4)) (-.f64 1 x)) 8)
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 x (+.f64 x -1)) -1)
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 x (*.f64 (-.f64 1 x) 4)) 1/4)
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 (neg.f64 x) (-.f64 1 x)) -1)
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 (-.f64 1 x) 4)))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (*.f64 (-.f64 1 x) 2))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (*.f64 (-.f64 1 x) 2))))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 (.f64 2 (neg.f64 x))) (.f64 (-.f64 1 x) 2))
(/.f64 x (-.f64 1 x))
(/.f64 (+.f64 (/.f64 x (.f64 (-.f64 1 x) 4)) (/.f64 x (.f64 (-.f64 1 x) 4))) 1/2)
(/.f64 x (-.f64 1 x))
(/.f64 (+.f64 (.f64 2 (neg.f64 (+.f64 x x))) (.f64 2 (neg.f64 (+.f64 x x)))) (.f64 2 (.f64 2 (neg.f64 (*.f64 (-.f64 1 x) 2)))))
(/.f64 x (-.f64 1 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (/.f64 4 (+.f64 -1 (/.f64 1 x))))) (.f64 2 (.f64 2 (/.f64 4 (+.f64 -1 (/.f64 1 x)))))) 32)
(/.f64 x (-.f64 1 x))
(/.f64 (+.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 x 4))) (.f64 2 (neg.f64 (.f64 (-.f64 1 x) 4))))
(/.f64 x (-.f64 1 x))
(/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (+.f64 x x)))) (*.f64 (-.f64 1 x) 4))
(/.f64 x (-.f64 1 x))
(/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (+.f64 x x)))) (+.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 x) 2))) (neg.f64 (neg.f64 (.f64 (-.f64 1 x) 2)))))
(/.f64 x (-.f64 1 x))
(/.f64 (+.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (+.f64 x -1))) -2)
(/.f64 x (-.f64 1 x))
(/.f64 (+.f64 (/.f64 (.f64 2 (.f64 x 4)) (-.f64 1 x)) (/.f64 (.f64 2 (.f64 x 4)) (-.f64 1 x))) 16)
(/.f64 x (-.f64 1 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (neg.f64 x))) (.f64 2 (.f64 2 (neg.f64 x)))) (.f64 2 (.f64 (+.f64 x -1) 4)))
(/.f64 x (-.f64 1 x))
(/.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 1 x)) (/.f64 (neg.f64 x) (-.f64 1 x))) -2)
(/.f64 x (-.f64 1 x))
(/.f64 (+.f64 (neg.f64 (.f64 2 (neg.f64 x))) (neg.f64 (.f64 2 (neg.f64 x)))) (*.f64 (-.f64 1 x) 4))
(/.f64 x (-.f64 1 x))
(neg.f64 (/.f64 x (+.f64 x -1)))
(/.f64 x (-.f64 1 x))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(/.f64 1 (-.f64 1 x))
(+.f64 0 (/.f64 1 (-.f64 1 x)))
(/.f64 -1 (+.f64 x -1))
(/.f64 1 (-.f64 1 x))
(+.f64 (/.f64 1/2 (-.f64 1 x)) (/.f64 1/2 (-.f64 1 x)))
(+.f64 (/.f64 -1/2 (+.f64 x -1)) (/.f64 -1/2 (+.f64 x -1)))
(/.f64 (-.f64 1 x) (*.f64 (-.f64 1 x) (-.f64 1 x)))
(-.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(/.f64 1 (-.f64 1 x))
(*.f64 1 (/.f64 1 (-.f64 1 x)))
(/.f64 -1 (+.f64 x -1))
(/.f64 1 (-.f64 1 x))
(.f64 (-.f64 1 x) (/.f64 1 (.f64 (-.f64 1 x) (-.f64 1 x))))
(.f64 (-.f64 1 x) (/.f64 -1 (.f64 (+.f64 x -1) (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) 1)
(/.f64 -1 (+.f64 x -1))
(/.f64 1 (-.f64 1 x))
(*.f64 2 (/.f64 1/2 (-.f64 1 x)))
(*.f64 2 (/.f64 -1/2 (+.f64 x -1)))
(.f64 (.f64 (-.f64 1 x) 2) (/.f64 1/2 (*.f64 (-.f64 1 x) (-.f64 1 x))))
(.f64 (-.f64 1 x) (/.f64 1 (.f64 (-.f64 1 x) (-.f64 1 x))))
(.f64 (-.f64 1 x) (/.f64 -1 (.f64 (+.f64 x -1) (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (-.f64 1 x)))
(.f64 -1 (/.f64 (+.f64 x -1) (.f64 (-.f64 1 x) (-.f64 1 x))))
(+.f64 (/.f64 -1/2 (+.f64 x -1)) (/.f64 -1/2 (+.f64 x -1)))
(+.f64 (/.f64 1/2 (-.f64 1 x)) (/.f64 1/2 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (*.f64 (-.f64 1 x) (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) 1/2)
(*.f64 1/2 (/.f64 -2 (+.f64 x -1)))
(*.f64 1/2 (/.f64 2 (-.f64 1 x)))
(*.f64 4 (/.f64 (/.f64 1/2 (-.f64 1 x)) 2))
(*.f64 4 (/.f64 1/4 (-.f64 1 x)))
(.f64 (.f64 (/.f64 1 (-.f64 1 x)) 4) 1/4)
(/.f64 -1 (+.f64 x -1))
(/.f64 1 (-.f64 1 x))
(*.f64 1/2 (/.f64 2 (-.f64 1 x)))
(*.f64 1/2 (/.f64 -2 (+.f64 x -1)))
(*.f64 (/.f64 1/2 (-.f64 1 x)) 2)
(*.f64 2 (/.f64 -1/2 (+.f64 x -1)))
(*.f64 2 (/.f64 1/2 (-.f64 1 x)))
(.f64 (.f64 (-.f64 1 x) 1/2) (/.f64 2 (*.f64 (-.f64 1 x) (-.f64 1 x))))
(.f64 (.f64 (-.f64 1 x) 1/2) (/.f64 (/.f64 -2 (+.f64 x -1)) (-.f64 1 x)))
(.f64 (-.f64 1 x) (.f64 1/2 (/.f64 (/.f64 2 (-.f64 1 x)) (-.f64 1 x))))
(.f64 (-.f64 1 x) (.f64 1/2 (/.f64 2 (*.f64 (-.f64 1 x) (-.f64 1 x)))))
(.f64 1/4 (.f64 (/.f64 1 (-.f64 1 x)) 4))
(/.f64 -1 (+.f64 x -1))
(/.f64 1 (-.f64 1 x))
(.f64 (/.f64 1 (.f64 (-.f64 1 x) (-.f64 1 x))) (-.f64 1 x))
(.f64 (-.f64 1 x) (/.f64 1 (.f64 (-.f64 1 x) (-.f64 1 x))))
(.f64 (-.f64 1 x) (/.f64 -1 (.f64 (+.f64 x -1) (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (-.f64 1 x)))
(.f64 (/.f64 2 (.f64 (-.f64 1 x) (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/2))
(.f64 (.f64 (-.f64 1 x) 1/2) (/.f64 (/.f64 -2 (+.f64 x -1)) (-.f64 1 x)))
(.f64 (-.f64 1 x) (.f64 1/2 (/.f64 (/.f64 2 (-.f64 1 x)) (-.f64 1 x))))
(.f64 (-.f64 1 x) (.f64 1/2 (/.f64 2 (*.f64 (-.f64 1 x) (-.f64 1 x)))))
(*.f64 (/.f64 (/.f64 1/2 (-.f64 1 x)) 2) 4)
(*.f64 4 (/.f64 1/4 (-.f64 1 x)))
(.f64 (/.f64 (+.f64 x -1) (.f64 (-.f64 1 x) (-.f64 1 x))) -1)
(+.f64 (/.f64 -1/2 (+.f64 x -1)) (/.f64 -1/2 (+.f64 x -1)))
(+.f64 (/.f64 1/2 (-.f64 1 x)) (/.f64 1/2 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (*.f64 (-.f64 1 x) (-.f64 1 x)))
(.f64 (/.f64 1/2 (.f64 (-.f64 1 x) (-.f64 1 x))) (*.f64 (-.f64 1 x) 2))
(.f64 (-.f64 1 x) (/.f64 1 (.f64 (-.f64 1 x) (-.f64 1 x))))
(.f64 (-.f64 1 x) (/.f64 -1 (.f64 (+.f64 x -1) (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (-.f64 1 x)))
(neg.f64 (/.f64 (+.f64 x -1) (*.f64 (-.f64 1 x) (-.f64 1 x))))
(+.f64 (/.f64 -1/2 (+.f64 x -1)) (/.f64 -1/2 (+.f64 x -1)))
(+.f64 (/.f64 1/2 (-.f64 1 x)) (/.f64 1/2 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (*.f64 (-.f64 1 x) (-.f64 1 x)))
(neg.f64 (/.f64 1 (+.f64 x -1)))
(/.f64 -1 (+.f64 x -1))
(/.f64 1 (-.f64 1 x))
(neg.f64 (/.f64 -1 (-.f64 1 x)))
(/.f64 -1 (+.f64 x -1))
(/.f64 1 (-.f64 1 x))

localize24.0ms (1.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 (-.f64 1 x) x) (-.f64 (/.f64 2 x) 2))
✓	0.4b	(/.f64 2 (*.f64 (/.f64 (-.f64 1 x) x) (-.f64 (/.f64 2 x) 2)))
✓	17.0b	(.f64 (/.f64 (-.f64 1 x) x) (/.f64 2 (.f64 (/.f64 (-.f64 1 x) x) (-.f64 (/.f64 2 x) 2))))

New

Error

Program

✓

0.2b

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

✓

0.4b

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

✓

17.0b

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

Compiler

Compiled 63 to 46 computations (27% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite90.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`bool.json-1`
1672×	`bool.json-2`
1640×	`rational.json-1`
1640×	`rational.json-2`
1640×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	123
1	132	123
2	421	123
3	1175	123
4	4335	123

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify118.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1342×	`rational.json-simplify-61`
1298×	`rational.json-simplify-44`
1262×	`rational.json-simplify-50`
1080×	`rational.json-simplify-47`
800×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	10769
1	1794	7831
2	6367	7581

Stop Event

1×	node limit

Counts

221 → 308

Calls

Call 1

Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(pow.f64 x 2)
(+.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 3 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (*.f64 3 (pow.f64 x 4)) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(+.f64 1 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(+.f64 1 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 x 2)))) (.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 x 2)))) (.f64 4 (/.f64 1 x)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 x 2)))) (.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 x 2)))) (.f64 4 (/.f64 1 x)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 x 2)))) (.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 x 2)))) (.f64 4 (/.f64 1 x)))
(+.f64 (.f64 (-.f64 1 x) (/.f64 (.f64 x (/.f64 2 (*.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2)))) x)) 0)
(+.f64 0 (.f64 (-.f64 1 x) (/.f64 (.f64 x (/.f64 2 (*.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2)))) x)))
(-.f64 (.f64 (-.f64 1 x) (/.f64 (.f64 x (/.f64 2 (*.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2)))) x)) 0)
(/.f64 1 (.f64 (/.f64 x (-.f64 1 x)) (.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2)))
(/.f64 1 (.f64 (.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2) (/.f64 x (-.f64 1 x))))
(/.f64 1 (/.f64 (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2) (/.f64 (-.f64 1 x) x)))
(/.f64 1 (/.f64 (/.f64 x (-.f64 1 x)) (.f64 x (/.f64 2 (.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2))))))
(/.f64 x (.f64 (.f64 (+.f64 (/.f64 2 x) -2) (*.f64 (-.f64 1 x) 1/2)) (/.f64 x (-.f64 1 x))))
(/.f64 x (*.f64 (/.f64 (-.f64 1 x) (/.f64 -2 (-.f64 2 (/.f64 2 x)))) (/.f64 x (-.f64 1 x))))
(/.f64 (-.f64 1 x) (.f64 x (.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2)))
(/.f64 (-.f64 1 x) (/.f64 x (.f64 x (/.f64 2 (.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2))))))
(/.f64 (/.f64 (-.f64 1 x) x) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 2 (.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) (.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2)))
(/.f64 2 (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) (/.f64 x (-.f64 1 x))))
(/.f64 2 (/.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) (/.f64 (-.f64 1 x) x)))
(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) (.f64 x (/.f64 2 (.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2))))))
(/.f64 (.f64 x (/.f64 2 (.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2)))) (/.f64 x (-.f64 1 x)))
(/.f64 (.f64 (-.f64 1 x) (/.f64 (.f64 x (/.f64 2 (*.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2)))) x)) 1)
(/.f64 (.f64 (-.f64 1 x) 2) (.f64 (+.f64 x x) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2)))
(/.f64 (.f64 (-.f64 1 x) 2) (/.f64 (+.f64 x x) (.f64 x (/.f64 2 (*.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2))))))
(/.f64 (+.f64 x x) (.f64 (.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2)) (/.f64 x (-.f64 1 x))))
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(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 x) x) (*.f64 (+.f64 (/.f64 2 x) -2) 4))) 8)
(/.f64 (*.f64 (+.f64 (/.f64 2 x) -2) 4) (/.f64 x (/.f64 (-.f64 1 x) 4)))
(/.f64 (.f64 (+.f64 (/.f64 2 x) -2) 4) (.f64 4 (/.f64 x (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) -2) x) (/.f64 1 (-.f64 1 x)))
(/.f64 1/2 (/.f64 (/.f64 x (-.f64 1 x)) (*.f64 2 (+.f64 (/.f64 2 x) -2))))
(/.f64 (.f64 (+.f64 x -1) 1/2) (/.f64 (neg.f64 x) (.f64 2 (+.f64 (/.f64 2 x) -2))))
(/.f64 (.f64 (+.f64 (/.f64 2 x) -2) 1/2) (/.f64 1 (.f64 (-.f64 1 x) (/.f64 2 x))))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 2 x) -2) 4) (/.f64 x (-.f64 1 x))) 4)
(/.f64 (/.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) (/.f64 -2 (-.f64 2 (/.f64 2 x)))) (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 2 (+.f64 (/.f64 2 x) -2)) x) (/.f64 2 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 2 (+.f64 (/.f64 2 x) -2)) (+.f64 x x)) (/.f64 1 (-.f64 1 x)))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (/.f64 2 x) -2))) (/.f64 (+.f64 x x) (+.f64 x -1)))
(/.f64 (neg.f64 (*.f64 (-.f64 1 x) (/.f64 2 x))) (neg.f64 (/.f64 -2 (-.f64 2 (/.f64 2 x)))))

Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3)))
(+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 4))))
(+.f64 (+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3))) (pow.f64 x 4))
(+.f64 x (+.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) (pow.f64 x 2)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) 1)))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) -1)))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) 1)))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) -1)))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(pow.f64 x 2)
(+.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 3 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (.f64 3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 2 (pow.f64 x 3))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 3 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 2 (pow.f64 x 3)) (.f64 3 (pow.f64 x 4))))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (*.f64 3 (pow.f64 x 4)) (pow.f64 x 2))))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 3 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3)))) (*.f64 4 (pow.f64 x 5)))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 4 (pow.f64 x 5))) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 3 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (+.f64 1 (.f64 3 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (+.f64 1 (.f64 3 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 3)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 x 2)))) (.f64 4 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (.f64 4 (/.f64 1 x))))
(+.f64 2 (-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 x))))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 x 2)))) (.f64 4 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (.f64 4 (/.f64 1 x))))
(+.f64 2 (-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 x 2)))) (.f64 4 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (.f64 4 (/.f64 1 x))))
(+.f64 2 (-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 x))))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 x 2)))) (.f64 4 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (.f64 4 (/.f64 1 x))))
(+.f64 2 (-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 x 2)))) (.f64 4 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (.f64 4 (/.f64 1 x))))
(+.f64 2 (-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 x))))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 x 2)))) (.f64 4 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (.f64 4 (/.f64 1 x))))
(+.f64 2 (-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 x))))
(+.f64 (.f64 (-.f64 1 x) (/.f64 (.f64 x (/.f64 2 (*.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2)))) x)) 0)
(.f64 (-.f64 1 x) (.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (/.f64 x x)))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (-.f64 (/.f64 x x) x))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)))
(+.f64 0 (.f64 (-.f64 1 x) (/.f64 (.f64 x (/.f64 2 (*.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2)))) x)))
(.f64 (-.f64 1 x) (.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (/.f64 x x)))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (-.f64 (/.f64 x x) x))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)))
(-.f64 (.f64 (-.f64 1 x) (/.f64 (.f64 x (/.f64 2 (*.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2)))) x)) 0)
(.f64 (-.f64 1 x) (.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (/.f64 x x)))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (-.f64 (/.f64 x x) x))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)))
(/.f64 1 (.f64 (/.f64 x (-.f64 1 x)) (.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2)))
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 x))) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) (*.f64 x 1/2))
(/.f64 1 (.f64 (.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2) (/.f64 x (-.f64 1 x))))
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 x))) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) (*.f64 x 1/2))
(/.f64 1 (/.f64 (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2) (/.f64 (-.f64 1 x) x)))
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 x))) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) (*.f64 x 1/2))
(/.f64 1 (/.f64 (/.f64 x (-.f64 1 x)) (.f64 x (/.f64 2 (.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2))))))
(.f64 (-.f64 1 x) (.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (/.f64 x x)))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (-.f64 (/.f64 x x) x))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)))
(/.f64 x (.f64 (.f64 (+.f64 (/.f64 2 x) -2) (*.f64 (-.f64 1 x) 1/2)) (/.f64 x (-.f64 1 x))))
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 x))) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) (*.f64 x 1/2))
(/.f64 x (*.f64 (/.f64 (-.f64 1 x) (/.f64 -2 (-.f64 2 (/.f64 2 x)))) (/.f64 x (-.f64 1 x))))
(/.f64 -2 (.f64 (-.f64 2 (/.f64 2 x)) (.f64 (/.f64 x (-.f64 1 x)) (/.f64 (-.f64 1 x) x))))
(/.f64 2 (-.f64 (/.f64 2 x) 2))
(/.f64 (-.f64 1 x) (.f64 x (.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2)))
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 x))) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) (*.f64 x 1/2))
(/.f64 (-.f64 1 x) (/.f64 x (.f64 x (/.f64 2 (.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2))))))
(.f64 (-.f64 1 x) (.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (/.f64 x x)))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (-.f64 (/.f64 x x) x))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)))
(/.f64 (/.f64 (-.f64 1 x) x) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 x))) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) (*.f64 x 1/2))
(/.f64 2 (.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) (.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2)))
(/.f64 (/.f64 2 (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2)) (/.f64 (+.f64 x x) (-.f64 1 x)))
(/.f64 (-.f64 1 x) (/.f64 (.f64 (-.f64 1 x) (.f64 (/.f64 (+.f64 (/.f64 2 x) -2) x) 1/2)) (/.f64 1 x)))
(/.f64 2 (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) (/.f64 x (-.f64 1 x))))
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 x))) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) (*.f64 x 1/2))
(/.f64 2 (/.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) (/.f64 (-.f64 1 x) x)))
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 x))) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) (*.f64 x 1/2))
(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) (.f64 x (/.f64 2 (.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2))))))
(.f64 (-.f64 1 x) (.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (/.f64 x x)))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (-.f64 (/.f64 x x) x))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)))
(/.f64 (.f64 x (/.f64 2 (.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2)))) (/.f64 x (-.f64 1 x)))
(.f64 (-.f64 1 x) (.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (/.f64 x x)))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (-.f64 (/.f64 x x) x))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)))
(/.f64 (.f64 (-.f64 1 x) (/.f64 (.f64 x (/.f64 2 (*.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2)))) x)) 1)
(.f64 (-.f64 1 x) (.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (/.f64 x x)))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (-.f64 (/.f64 x x) x))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)))
(/.f64 (.f64 (-.f64 1 x) 2) (.f64 (+.f64 x x) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2)))
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 x))) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) (*.f64 x 1/2))
(/.f64 (.f64 (-.f64 1 x) 2) (/.f64 (+.f64 x x) (.f64 x (/.f64 2 (*.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2))))))
(.f64 (-.f64 1 x) (.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (/.f64 x x)))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)) (-.f64 (/.f64 x x) x))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)))
(/.f64 (+.f64 x x) (.f64 (.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2)) (/.f64 x (-.f64 1 x))))
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 x))) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) (*.f64 x 1/2))
(/.f64 (+.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 1 (-.f64 1 x))) (/.f64 x (-.f64 1 x))))
(/.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (+.f64 x x) (/.f64 x (-.f64 1 x)))))
(/.f64 (/.f64 1 (+.f64 (/.f64 2 x) -2)) (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) (/.f64 x (+.f64 x x)))))
(/.f64 4 (.f64 (.f64 (-.f64 1 x) (*.f64 (/.f64 (+.f64 (/.f64 2 x) -2) x) 2)) (/.f64 x (-.f64 1 x))))
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 x))) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) (*.f64 x 1/2))
(/.f64 4 (/.f64 (.f64 (-.f64 1 x) (.f64 (/.f64 (+.f64 (/.f64 2 x) -2) x) 2)) (/.f64 (-.f64 1 x) x)))
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 x))) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) (*.f64 x 1/2))
(/.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) (*.f64 (+.f64 (/.f64 2 x) -2) (/.f64 x (-.f64 1 x))))
(/.f64 (/.f64 1 (/.f64 x (-.f64 1 x))) (.f64 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1/2))
(/.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) (*.f64 x 1/2))
(/.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) (/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (-.f64 1 x) x)))
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(.f64 (.f64 x 4) (/.f64 1 (.f64 (+.f64 (/.f64 2 x) -2) (.f64 1/2 (*.f64 4 (-.f64 1 x))))))
(.f64 x (.f64 4 (/.f64 1 (.f64 (-.f64 1 x) (.f64 2 (+.f64 (/.f64 2 x) -2))))))
(.f64 x (.f64 4 (/.f64 2 (.f64 (-.f64 1 x) (.f64 4 (+.f64 (/.f64 2 x) -2))))))
(*.f64 (/.f64 -2 (-.f64 2 (/.f64 2 x))) (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 x (-.f64 1 x)) (/.f64 2 (-.f64 (/.f64 2 x) 2)))
(.f64 x (/.f64 2 (.f64 (-.f64 (/.f64 2 x) 2) (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (/.f64 1 (-.f64 2 (/.f64 2 x))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (/.f64 -1 (-.f64 (/.f64 2 x) 2)))
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(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (+.f64 x -1) (/.f64 -2 (-.f64 2 (/.f64 2 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (-.f64 2 (/.f64 2 x)) (/.f64 2 (-.f64 1 x)))))
(.f64 (neg.f64 x) (/.f64 2 (.f64 (-.f64 (/.f64 2 x) 2) (+.f64 x -1))))
(*.f64 (/.f64 x (-.f64 1 x)) (/.f64 -2 (-.f64 2 (/.f64 2 x))))
(*.f64 (/.f64 x (-.f64 1 x)) (/.f64 2 (-.f64 (/.f64 2 x) 2)))
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(*.f64 (/.f64 1 (+.f64 (/.f64 2 x) -2)) (/.f64 (+.f64 x x) (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) (/.f64 1 (+.f64 (/.f64 2 x) -2)))
(*.f64 (/.f64 (/.f64 x (-.f64 1 x)) 1/2) (/.f64 1 (+.f64 (/.f64 2 x) -2)))
(.f64 1/2 (/.f64 (+.f64 x x) (.f64 (+.f64 (/.f64 2 x) -2) (*.f64 (-.f64 1 x) 1/2))))
(.f64 1/2 (/.f64 4 (.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x))))
(*.f64 1/2 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 x) (/.f64 -2 (-.f64 2 (/.f64 2 x))))))
(*.f64 1/2 (/.f64 (/.f64 2 (-.f64 (/.f64 2 x) 2)) (/.f64 (-.f64 1 x) (+.f64 x x))))
(*.f64 (/.f64 2 (-.f64 1 x)) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(*.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) (/.f64 2 (-.f64 1 x)))
(.f64 (/.f64 1 (-.f64 1 x)) (.f64 x (/.f64 -2 (-.f64 2 (/.f64 2 x)))))
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(.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x (.f64 (+.f64 (/.f64 2 x) -2) 1/2)))
(*.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (/.f64 x (+.f64 (/.f64 2 x) -2)) 1/2))
(+.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 0)
(*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x))
(+.f64 0 (*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)))
(*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x))
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(-.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 0)
(*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x))
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(/.f64 1 (/.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) (*.f64 2 (+.f64 (/.f64 2 x) -2))))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
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(/.f64 1 (/.f64 -2 (*.f64 (-.f64 2 (/.f64 2 x)) (-.f64 (/.f64 2 x) 2))))
(/.f64 (-.f64 2 (/.f64 2 x)) (/.f64 -2 (-.f64 (/.f64 2 x) 2)))
(*.f64 (-.f64 2 (/.f64 2 x)) (-.f64 1 (/.f64 1 x)))
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(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (/.f64 (-.f64 1 x) x) (/.f64 1 (+.f64 (/.f64 2 x) -2)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 2 (.f64 x (/.f64 2 (.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2)))))
(/.f64 (/.f64 2 x) (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 2 (-.f64 (/.f64 2 x) 2)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x)) 1)
(*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x))
(/.f64 (.f64 (-.f64 1 x) 2) (.f64 x (/.f64 -2 (-.f64 2 (/.f64 2 x)))))
(/.f64 1 (/.f64 -2 (*.f64 (-.f64 2 (/.f64 2 x)) (-.f64 (/.f64 2 x) 2))))
(/.f64 (-.f64 2 (/.f64 2 x)) (/.f64 -2 (-.f64 (/.f64 2 x) 2)))
(*.f64 (-.f64 2 (/.f64 2 x)) (-.f64 1 (/.f64 1 x)))
(/.f64 (.f64 (-.f64 1 x) (.f64 (/.f64 (+.f64 (/.f64 2 x) -2) x) 2)) 2)
(*.f64 (-.f64 1 x) (/.f64 (+.f64 (/.f64 2 x) -2) x))
(/.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) (.f64 (.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))) (/.f64 -2 (-.f64 2 (/.f64 2 x)))))
(/.f64 (/.f64 (-.f64 2 (/.f64 2 x)) (/.f64 -2 (/.f64 (+.f64 x x) (-.f64 1 x)))) (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))))
(/.f64 (-.f64 1 x) (/.f64 x (/.f64 (/.f64 (/.f64 x x) (/.f64 x (+.f64 x x))) (/.f64 2 (-.f64 (/.f64 2 x) 2)))))
(/.f64 (/.f64 (/.f64 (/.f64 x x) 1/2) (/.f64 x (-.f64 1 x))) (/.f64 2 (-.f64 (/.f64 2 x) 2)))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (*.f64 2 (+.f64 (/.f64 2 x) -2))))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (*.f64 (-.f64 1 x) (/.f64 2 x)) (/.f64 -2 (-.f64 2 (/.f64 2 x))))
(/.f64 1 (/.f64 -2 (*.f64 (-.f64 2 (/.f64 2 x)) (-.f64 (/.f64 2 x) 2))))
(/.f64 (-.f64 2 (/.f64 2 x)) (/.f64 -2 (-.f64 (/.f64 2 x) 2)))
(*.f64 (-.f64 2 (/.f64 2 x)) (-.f64 1 (/.f64 1 x)))
(/.f64 (.f64 2 (.f64 x (/.f64 2 (.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2))))) (.f64 (.f64 x (/.f64 2 (.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2)))) (.f64 x (/.f64 2 (.f64 (-.f64 1 x) (+.f64 (/.f64 2 x) -2))))))
(.f64 (.f64 x (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2))) (/.f64 2 (.f64 (.f64 x (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2))) (*.f64 x (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2))))))
(.f64 (.f64 x (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2))) (/.f64 (/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 2 (-.f64 (/.f64 2 x) 2))) (*.f64 x (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)))))
(+.f64 (/.f64 1 (.f64 x (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)))) (/.f64 1 (.f64 x (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)))))
(/.f64 (.f64 (/.f64 (-.f64 1 x) x) (.f64 (+.f64 (/.f64 2 x) -2) 4)) 4)
(.f64 (.f64 4 (+.f64 (/.f64 2 x) -2)) (/.f64 (/.f64 (-.f64 1 x) x) 4))
(.f64 (/.f64 (-.f64 1 x) x) (.f64 (+.f64 (/.f64 2 x) -2) 1))
(/.f64 (*.f64 2 (+.f64 (/.f64 2 x) -2)) (/.f64 (+.f64 x x) (-.f64 1 x)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (-.f64 1 (/.f64 1 x)) (/.f64 -2 (*.f64 2 (+.f64 (/.f64 2 x) -2))))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (-.f64 2 (/.f64 2 x)) (-.f64 0 (/.f64 x (-.f64 1 x))))
(/.f64 (-.f64 2 (/.f64 2 x)) (neg.f64 (/.f64 x (-.f64 1 x))))
(/.f64 (-.f64 (/.f64 2 x) 2) (/.f64 x (-.f64 1 x)))
(/.f64 (-.f64 2 (/.f64 2 x)) (/.f64 -2 (*.f64 (-.f64 1 x) (/.f64 2 x))))
(/.f64 1 (/.f64 -2 (*.f64 (-.f64 2 (/.f64 2 x)) (-.f64 (/.f64 2 x) 2))))
(/.f64 (-.f64 2 (/.f64 2 x)) (/.f64 -2 (-.f64 (/.f64 2 x) 2)))
(*.f64 (-.f64 2 (/.f64 2 x)) (-.f64 1 (/.f64 1 x)))
(/.f64 (+.f64 x -1) (/.f64 (neg.f64 x) (+.f64 (/.f64 2 x) -2)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (+.f64 x -1) (/.f64 (neg.f64 (+.f64 x x)) (*.f64 2 (+.f64 (/.f64 2 x) -2))))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (.f64 (-.f64 1 x) 1/2) (/.f64 x (.f64 2 (+.f64 (/.f64 2 x) -2))))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (.f64 (-.f64 1 x) (/.f64 1/2 x)) (/.f64 1 (.f64 2 (+.f64 (/.f64 2 x) -2))))
(/.f64 (-.f64 (/.f64 1/2 x) 1/2) (/.f64 1/2 (+.f64 (/.f64 2 x) -2)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 1/2 (-.f64 (/.f64 1/2 x) 1/2)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 -1/2 (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 (.f64 (/.f64 (-.f64 1 x) x) 4) (.f64 2 (/.f64 -2 (-.f64 2 (/.f64 2 x)))))
(/.f64 (/.f64 (*.f64 4 (/.f64 (-.f64 1 x) x)) 2) (/.f64 2 (-.f64 (/.f64 2 x) 2)))
(/.f64 (-.f64 2 (/.f64 2 x)) (/.f64 -2 (*.f64 (/.f64 (-.f64 1 x) x) 2)))
(/.f64 (*.f64 (/.f64 (-.f64 1 x) x) 4) (/.f64 4 (+.f64 (/.f64 2 x) -2)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (*.f64 2 (-.f64 1 (/.f64 1 x))) (/.f64 2 (-.f64 2 (/.f64 2 x))))
(/.f64 1 (/.f64 -2 (*.f64 (-.f64 2 (/.f64 2 x)) (-.f64 (/.f64 2 x) 2))))
(/.f64 (-.f64 2 (/.f64 2 x)) (/.f64 -2 (-.f64 (/.f64 2 x) 2)))
(*.f64 (-.f64 2 (/.f64 2 x)) (-.f64 1 (/.f64 1 x)))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 x) x) (*.f64 (+.f64 (/.f64 2 x) -2) 4))) 8)
(.f64 (.f64 (+.f64 (/.f64 2 x) -2) (*.f64 4 (/.f64 (-.f64 1 x) x))) 1/4)
(.f64 (.f64 4 (*.f64 (/.f64 (-.f64 1 x) x) (+.f64 (/.f64 2 x) -2))) 1/4)
(/.f64 (*.f64 (+.f64 (/.f64 2 x) -2) 4) (/.f64 x (/.f64 (-.f64 1 x) 4)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (.f64 (+.f64 (/.f64 2 x) -2) 4) (.f64 4 (/.f64 x (-.f64 1 x))))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) -2) x) (/.f64 1 (-.f64 1 x)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 1/2 (/.f64 (/.f64 x (-.f64 1 x)) (*.f64 2 (+.f64 (/.f64 2 x) -2))))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (.f64 (+.f64 x -1) 1/2) (/.f64 (neg.f64 x) (.f64 2 (+.f64 (/.f64 2 x) -2))))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (.f64 (+.f64 (/.f64 2 x) -2) 1/2) (/.f64 1 (.f64 (-.f64 1 x) (/.f64 2 x))))
(/.f64 (/.f64 2 x) (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 (/.f64 2 x) -2)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 2 (-.f64 (/.f64 2 x) 2)))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 2 x) -2) 4) (/.f64 x (-.f64 1 x))) 4)
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (/.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) (/.f64 -2 (-.f64 2 (/.f64 2 x)))) (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 2 (/.f64 2 x)) (/.f64 -2 (/.f64 (+.f64 x x) (-.f64 1 x)))) (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))))
(/.f64 (-.f64 1 x) (/.f64 x (/.f64 (/.f64 (/.f64 x x) (/.f64 x (+.f64 x x))) (/.f64 2 (-.f64 (/.f64 2 x) 2)))))
(/.f64 (/.f64 (/.f64 (/.f64 x x) 1/2) (/.f64 x (-.f64 1 x))) (/.f64 2 (-.f64 (/.f64 2 x) 2)))
(/.f64 (/.f64 (*.f64 2 (+.f64 (/.f64 2 x) -2)) x) (/.f64 2 (-.f64 1 x)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (/.f64 (*.f64 2 (+.f64 (/.f64 2 x) -2)) (+.f64 x x)) (/.f64 1 (-.f64 1 x)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (/.f64 2 x) -2))) (/.f64 (+.f64 x x) (+.f64 x -1)))
(/.f64 (+.f64 (/.f64 2 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) 1))
(/.f64 (-.f64 1 x) (/.f64 x (+.f64 (/.f64 2 x) -2)))
(/.f64 (neg.f64 (*.f64 (-.f64 1 x) (/.f64 2 x))) (neg.f64 (/.f64 -2 (-.f64 2 (/.f64 2 x)))))
(/.f64 1 (/.f64 -2 (*.f64 (-.f64 2 (/.f64 2 x)) (-.f64 (/.f64 2 x) 2))))
(/.f64 (-.f64 2 (/.f64 2 x)) (/.f64 -2 (-.f64 (/.f64 2 x) 2)))
(*.f64 (-.f64 2 (/.f64 2 x)) (-.f64 1 (/.f64 1 x)))

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite84.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1920×	`bool.json-1`
1920×	`bool.json-2`
916×	`rational.json-simplify-35`
798×	`rational.json-1`
798×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	80	13
2	250	13
3	515	13
4	1060	13
5	2617	13
6	6983	13

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify136.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

1710×	`rational.json-simplify-35`
1032×	`rational.json-simplify-50`
992×	`rational.json-simplify-2`
692×	`rational.json-simplify-1`
672×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	706
1	151	706
2	341	542
3	1291	542
4	2458	542
5	3486	542
6	5277	542
7	7923	542

Stop Event

1×	node limit

Counts

44 → 36

Calls

Call 1

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

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

eval171.0ms (7.6%)

Compiler: Compiled 8780 to 6616 computations (24.6% saved)

prune70.0ms (3.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	508	1	509
Fresh	0	2	2
Picked	0	1	1
Done	2	1	3
Total	510	5	515

Error

Counts

515 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	0.1b	(/.f64 2 (-.f64 (/.f64 2 x) 2))
✓	34.4b	(-.f64 -1 (/.f64 1 x))
	29.3b	x
	34.1b	-1

Compiler

Compiled 24 to 19 computations (20.8% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 2 (-.f64 (/.f64 2 x) 2))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`rational.json-simplify-35`
1222×	`bool.json-1`
1222×	`bool.json-2`
1178×	`rational.json-1`
1178×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	79	19
2	271	19
3	630	19
4	1419	19
5	3731	19

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify55.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1704×	`rational.json-simplify-35`
1354×	`rational.json-simplify-2`
1130×	`rational.json-simplify-51`
840×	`rational.json-simplify-61`
828×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	763
1	174	763
2	404	739
3	1146	739
4	3343	739

Stop Event

1×	node limit

Counts

37 → 50

Calls

Call 1

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

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

eval15.0ms (0.7%)

Compiler: Compiled 642 to 531 computations (17.3% saved)

prune6.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	50	5	55

Error

Counts

55 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))
✓	0.1b	(/.f64 2 (-.f64 (/.f64 2 x) 2))
✓	34.4b	(-.f64 -1 (/.f64 1 x))
	29.3b	x
	34.1b	-1

Compiler

Compiled 24 to 19 computations (20.8% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))
✓	0.1b	(/.f64 2 (-.f64 (/.f64 2 x) 2))
✓	34.4b	(-.f64 -1 (/.f64 1 x))
	29.3b	x
	34.1b	-1

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes10.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
3.0ms	(/.f64 x (-.f64 1 x))

Results

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

Compiler

Compiled 54 to 39 computations (27.8% saved)

regimes11.0ms (0.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch26.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	1.1725730700828003e-7	149.47665441943553
13.0ms	-6.48244617724688	-2.360198424669626e-6

Results

22.0ms

288×

body

256

valid

Compiler

Compiled 190 to 151 computations (20.5% saved)

regimes9.0ms (0.4%)

Accuracy

Total -59.9b remaining (-3410.5%)

Threshold costs -59.9b (-3410.5%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
x

Outputs
-1
x
-1

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.8b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch25.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	1.1725730700828003e-7	149.47665441943553
13.0ms	-6.48244617724688	-2.360198424669626e-6

Results

22.0ms

288×

body

256

valid

Compiler

Compiled 118 to 97 computations (17.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	80

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -5854679515581645/4503599627370496) (-.f64 -1 (/.f64 1 x)) (if (<=.f64 x 1) x (-.f64 -1 (/.f64 1 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Outputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -5854679515581645/4503599627370496) (-.f64 -1 (/.f64 1 x)) (if (<=.f64 x 1) x (-.f64 -1 (/.f64 1 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Compiler

Compiled 40 to 30 computations (25% saved)

soundness0.0ms (0%)

end29.0ms (1.3%)

Compiler: Compiled 37 to 27 computations (27% saved)

Details

analyze5.0ms (0.2%)

sample579.0ms (25.9%)

preprocess143.0ms (6.4%)

simplify134.0ms (6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite89.0ms (4%)

simplify108.0ms (4.8%)

eval32.0ms (1.4%)

prune16.0ms (0.7%)

localize8.0ms (0.4%)

series1.0ms (0%)

rewrite70.0ms (3.1%)

simplify84.0ms (3.8%)

localize24.0ms (1.1%)

series2.0ms (0.1%)

rewrite90.0ms (4%)

simplify118.0ms (5.3%)

localize6.0ms (0.2%)

series0.0ms (0%)

rewrite84.0ms (3.8%)

simplify136.0ms (6.1%)

eval171.0ms (7.6%)

prune70.0ms (3.1%)

localize8.0ms (0.3%)

series0.0ms (0%)

rewrite61.0ms (2.7%)

simplify55.0ms (2.5%)

eval15.0ms (0.7%)

prune6.0ms (0.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes10.0ms (0.4%)

regimes11.0ms (0.5%)

bsearch26.0ms (1.1%)

regimes9.0ms (0.4%)

bsearch25.0ms (1.1%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end29.0ms (1.3%)

Profiling