Details

analyze3.0ms (0.1%)

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)

sample566.0ms (18.5%)

Results

555.0ms

8256×

body

256

valid

Bogosity

preprocess139.0ms (4.5%)

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)

simplify141.0ms (4.6%)

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 (0.1%)

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))

rewrite83.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`rational.json-1`
1454×	`rational.json-2`
1454×	`rational.json-4`
1454×	`rational.json-3`
1446×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	54	13
2	166	13
3	392	13
4	1039	13
5	4074	13

Stop Event

1×	node limit

Counts

1 → 102

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 (/.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 x (+.f64 x -1))) -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 (/.f64 1 (-.f64 1 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 1/2 (.f64 2 (/.f64 1 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 1/2 (/.f64 2 (-.f64 1 x))))))) (#(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 (/.f64 1 x)) (+.f64 -1 (/.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 (+.f64 x x) (/.f64 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 (/.f64 1 (+.f64 x -1)) -1/2))))) (#(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 1/2 (.f64 2 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (/.f64 1/2 (-.f64 1 x)) 1/2))))) (#(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 1 (-.f64 (/.f64 1/2 x) 1/2)) 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 1 x)) 1/4))))) (#(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 (/.f64 1 x)) (+.f64 -1 (/.f64 1 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 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))))) (#(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 (/.f64 1 x)) (+.f64 -1 (/.f64 1 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 x (/.f64 1/2 (+.f64 x -1))))))) (#(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 1/2 (/.f64 1 (-.f64 (/.f64 1/2 x) 1/2)))))) (#(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 (.f64 x -2) (/.f64 1/2 (+.f64 x -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 -1/2 (/.f64 (+.f64 x x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x x) (+.f64 x -1)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 x) (/.f64 (.f64 (-.f64 1 x) 2) (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 x) (/.f64 (+.f64 x -1) (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 1/2 x) 1/2) (/.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) 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 1 (+.f64 x -1))))))) (#(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 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 x 1/2) (.f64 2 (/.f64 1 (-.f64 1 x))))))) (#(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 x (/.f64 1/2 (+.f64 x -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (-.f64 1 x)) 1/4) (.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (.f64 2 (/.f64 1 (-.f64 1 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 2 (-.f64 1 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (.f64 2 (/.f64 1 (+.f64 x -1)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 1/2 (-.f64 1 x))) (.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (+.f64 x -1)) -1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 1 (+.f64 x -1))) (.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (+.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (-.f64 1 x) 2) (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (-.f64 (/.f64 1/2 x) 1/2))))) (#(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 (-.f64 1 x) (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x -1) (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 x) (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 -1 (/.f64 1 x)) (-.f64 (/.f64 2 x) 2))) (-.f64 (/.f64 2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (+.f64 -1 (/.f64 1 x)) (-.f64 (/.f64 2 x) 2))) (+.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x x) (neg.f64 (.f64 (-.f64 1 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 x (+.f64 x -2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 x -1)) (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (.f64 (-.f64 1 x) 4)) 4)))) (#(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 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (-.f64 (/.f64 2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 x) (.f64 (+.f64 -1 (/.f64 1 x)) (-.f64 (/.f64 2 x) 2))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 x (-.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (-.f64 1 x) 8)) (.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 2 (neg.f64 (.f64 (-.f64 1 x) 2)))) (.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 2 (neg.f64 (.f64 (-.f64 1 x) 2)))) (.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (.f64 (-.f64 1 x) 2))) (.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 x -1) 1) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (/.f64 -1 x)) (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 2 x) 2)) (.f64 (+.f64 -1 (/.f64 1 x)) (-.f64 (/.f64 2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x x) (neg.f64 (.f64 (-.f64 1 x) 2))))))))

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 (/.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 x (+.f64 x -1))) -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 (/.f64 1 (-.f64 1 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 1/2 (*.f64 2 (/.f64 1 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/2 (/.f64 2 (-.f64 1 x))))))) (#(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 (/.f64 1 x)) (+.f64 -1 (/.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 (+.f64 x x) (/.f64 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (+.f64 x -1)) -1/2))))) (#(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 1/2 (*.f64 2 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (/.f64 1/2 (-.f64 1 x)) 1/2))))) (#(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 1 (-.f64 (/.f64 1/2 x) 1/2)) 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 1 x)) 1/4))))) (#(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 (/.f64 1 x)) (+.f64 -1 (/.f64 1 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 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))))) (#(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 (/.f64 1 x)) (+.f64 -1 (/.f64 1 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 x (/.f64 1/2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 x (+.f64 x (+.f64 x -2))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 (*.f64 (-.f64 1 x) 2) (*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (+.f64 x -1) (*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/2 x) 1/2) (/.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) 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 1 (+.f64 x -1))))))) (#(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 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 x 1/2) (*.f64 2 (/.f64 1 (-.f64 1 x))))))) (#(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 x (/.f64 1/2 (+.f64 x -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 1 x)) 1/4) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 1 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 2 (-.f64 1 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 (+.f64 x -1)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 (-.f64 1 x))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x -1)) -1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1 (+.f64 x -1))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (+.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 x) 2) (*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (-.f64 (/.f64 1/2 x) 1/2))))) (#(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 (-.f64 1 x) (*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 -1 (/.f64 1 x)) (-.f64 (/.f64 2 x) 2))) (-.f64 (/.f64 2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 -1 (/.f64 1 x)) (-.f64 (/.f64 2 x) 2))) (+.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (neg.f64 (*.f64 (-.f64 1 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x (+.f64 x -2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 x -1)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (-.f64 1 x) 4)) 4)))) (#(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 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (-.f64 (/.f64 2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (*.f64 (+.f64 -1 (/.f64 1 x)) (-.f64 (/.f64 2 x) 2))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (-.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 x) 8)) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (neg.f64 (*.f64 (-.f64 1 x) 2)))) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 1 x) 2)))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 (-.f64 1 x) 2))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x -1) 1) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (/.f64 -1 x)) (*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 2 x) 2)) (*.f64 (+.f64 -1 (/.f64 1 x)) (-.f64 (/.f64 2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x x) (neg.f64 (*.f64 (-.f64 1 x) 2))))))))

simplify97.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1240×	`rational.json-simplify-61`
1224×	`rational.json-simplify-49`
1006×	`rational.json-simplify-41`
876×	`rational.json-simplify-2`
790×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	2208
1	460	2208
2	1071	2184
3	2657	2172
4	7111	2172

Stop Event

1×	node limit

Counts

114 → 136

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

eval38.0ms (1.3%)

Compiler: Compiled 1632 to 1284 computations (21.3% saved)

prune19.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	131	5	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	131	6	137

Error

Counts

137 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.4b	(/.f64 (-.f64 1 x) (.f64 x (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	0.1b	(*.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) 1/2)) 1/2)
▶	0.1b	(*.f64 (/.f64 1 (-.f64 1 x)) x)
	31.7b	x
	32.1b	-1

Compiler

Compiled 46 to 36 computations (21.7% saved)

localize7.0ms (0.2%)

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 1 (-.f64 1 x))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 (-.f64 1 x)) 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))

rewrite91.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1602×	`rational.json-1`
1602×	`rational.json-2`
1602×	`rational.json-3`
1600×	`rational.json-4`
1582×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	62	26
2	165	26
3	331	26
4	730	26
5	2352	26
6	6179	26

Stop Event

1×	node limit

Counts

2 → 99

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 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 x (/.f64 (.f64 (-.f64 1 x) (-.f64 1 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 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 4 (.f64 2 (-.f64 (/.f64 2 x) 2)))))) (#(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 (-.f64 2 (/.f64 2 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 1 (/.f64 1 x)) (-.f64 1 (/.f64 1 x))))))) (#(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 (/.f64 2 (-.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 4) (.f64 (-.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (-.f64 1 x)) (+.f64 (/.f64 2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (.f64 2 (.f64 2 (-.f64 (/.f64 2 x) 2))))))) (#(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 (/.f64 (+.f64 x (+.f64 x -2)) x) (/.f64 (+.f64 x (+.f64 x -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (+.f64 (-.f64 2 (/.f64 2 x)) (-.f64 2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (.f64 2 (-.f64 (/.f64 2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (/.f64 4 (-.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 (+.f64 -1 (/.f64 1 x)) (-.f64 (/.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 8) (.f64 (-.f64 1 x) 8))))) (#(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 16 (+.f64 (.f64 2 (.f64 2 (-.f64 (/.f64 2 x) 2))) (.f64 2 (.f64 2 (-.f64 (/.f64 2 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x (-.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -2) (+.f64 x (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (/.f64 2 x) 2)) (.f64 (-.f64 (/.f64 2 x) 2) (-.f64 (/.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (/.f64 2 x) 2)) (+.f64 (.f64 (+.f64 -1 (/.f64 1 x)) (-.f64 (/.f64 2 x) 2)) (.f64 (+.f64 -1 (/.f64 1 x)) (-.f64 (/.f64 2 x) 2))))))) (#(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 (.f64 x 1/2) (/.f64 (.f64 (-.f64 1 x) (-.f64 1 x)) (.f64 (-.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x -2)) (.f64 (+.f64 x -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x 8)) (.f64 2 (.f64 (-.f64 1 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (-.f64 0 (.f64 (-.f64 1 x) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 x (-.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x 8)) (neg.f64 (.f64 (-.f64 1 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x 8) (-.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 1 (/.f64 1 x)) (-.f64 0 (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))))) (#(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 (.f64 x -2)) (.f64 (-.f64 1 x) 2))))) (#(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 (.f64 2 (.f64 x -2)) (.f64 2 (.f64 x -2))) (.f64 2 (.f64 (+.f64 x -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (/.f64 x (-.f64 1 x)) 8)) (.f64 2 (.f64 (/.f64 x (-.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (.f64 x 8) (-.f64 1 x)) (/.f64 (.f64 x 8) (-.f64 1 x))) 16)))) (#(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 (neg.f64 (.f64 x -2)) (neg.f64 (.f64 x -2))) (.f64 (-.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x 1/2)) (-.f64 0 (.f64 (-.f64 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) (-.f64 0 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (-.f64 1 x))) (-.f64 0 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 x 4))) (.f64 (-.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 x 4))) (-.f64 0 (neg.f64 (.f64 (-.f64 1 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (.f64 x -2))) (neg.f64 (.f64 (+.f64 x -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 x -2))) (+.f64 x (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 x -1)))))))
((#(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 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (-.f64 1 x)) 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 1/4 (/.f64 4 (-.f64 1 x)))))) (#(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 x) 1/2) (/.f64 2 (.f64 (-.f64 1 x) (-.f64 1 x))))))) (#(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 (/.f64 1 (-.f64 1 x)) 4) 4)))) (#(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 pow.f64 (/.f64 1 (-.f64 1 x)) 1)))) (#(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)))))))

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 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 x (/.f64 (*.f64 (-.f64 1 x) (-.f64 1 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 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 4 (*.f64 2 (-.f64 (/.f64 2 x) 2)))))) (#(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 (-.f64 2 (/.f64 2 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 1 (/.f64 1 x)) (-.f64 1 (/.f64 1 x))))))) (#(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 (/.f64 2 (-.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 (-.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (-.f64 1 x)) (+.f64 (/.f64 2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (*.f64 2 (-.f64 (/.f64 2 x) 2))))))) (#(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 (/.f64 (+.f64 x (+.f64 x -2)) x) (/.f64 (+.f64 x (+.f64 x -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (+.f64 (-.f64 2 (/.f64 2 x)) (-.f64 2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (*.f64 2 (-.f64 (/.f64 2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 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(2) ((x /.f64 (*.f64 2 (-.f64 (/.f64 2 x) 2)) (*.f64 (-.f64 (/.f64 2 x) 2) (-.f64 (/.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (/.f64 2 x) 2)) (+.f64 (*.f64 (+.f64 -1 (/.f64 1 x)) (-.f64 (/.f64 2 x) 2)) (*.f64 (+.f64 -1 (/.f64 1 x)) (-.f64 (/.f64 2 x) 2))))))) (#(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 (*.f64 x 1/2) (/.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x -2)) (*.f64 (+.f64 x -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 8)) (*.f64 2 (*.f64 (-.f64 1 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (-.f64 0 (*.f64 (-.f64 1 x) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 x (-.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 8)) (neg.f64 (*.f64 (-.f64 1 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 8) (-.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 1 (/.f64 1 x)) (-.f64 0 (*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))))) (#(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 (*.f64 x -2)) (*.f64 (-.f64 1 x) 2))))) (#(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 (*.f64 2 (*.f64 x -2)) (*.f64 2 (*.f64 x -2))) (*.f64 2 (*.f64 (+.f64 x -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 x (-.f64 1 x)) 8)) (*.f64 2 (*.f64 (/.f64 x (-.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 x 8) (-.f64 1 x)) (/.f64 (*.f64 x 8) (-.f64 1 x))) 16)))) (#(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 (neg.f64 (*.f64 x -2)) (neg.f64 (*.f64 x -2))) (*.f64 (-.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (-.f64 0 (*.f64 (-.f64 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) (-.f64 0 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (-.f64 1 x))) (-.f64 0 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x 4))) (*.f64 (-.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x 4))) (-.f64 0 (neg.f64 (*.f64 (-.f64 1 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 x -2))) (neg.f64 (*.f64 (+.f64 x -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x -2))) (+.f64 x (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 x -1)))))))

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

simplify88.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1614×	`rational.json-simplify-35`
1518×	`rational.json-simplify-2`
1150×	`rational.json-simplify-49`
946×	`rational.json-simplify-50`
868×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	2397
1	712	2353
2	2007	2337
3	5992	2307

Stop Event

1×	node limit

Counts

123 → 153

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

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (/.f64 1/2 x) 1/2))

Compiler

Compiled 28 to 23 computations (17.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite76.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`rational.json-1`
1574×	`rational.json-2`
1574×	`rational.json-3`
1572×	`rational.json-4`
1550×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	70	19
2	183	19
3	384	19
4	801	19
5	2281	19
6	5941	19

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify75.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1478×	`rational.json-simplify-51`
1460×	`rational.json-simplify-35`
1014×	`rational.json-simplify-59`
826×	`rational.json-simplify-43`
726×	`rational.json-simplify-39`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	1313
1	173	1255
2	340	1231
3	682	1225
4	2059	1213
5	5015	1213

Stop Event

1×	node limit

Counts

37 → 61

Calls

Call 1

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

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

localize22.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 1 x) (.f64 x (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))
✓	0.2b	(*.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))
✓	12.4b	(.f64 x (.f64 (+.f64 -1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x))))

Compiler

Compiled 56 to 43 computations (23.2% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite98.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`rational.json-1`
1654×	`rational.json-2`
1654×	`rational.json-4`
1654×	`rational.json-3`
1034×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	117
1	92	117
2	253	117
3	834	69
4	5501	69

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

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

Outputs

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simplify115.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1288×	`rational.json-simplify-50`
1232×	`rational.json-simplify-53`
1216×	`rational.json-simplify-35`
1152×	`rational.json-simplify-61`
734×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	6626
1	1187	6546
2	5735	6462

Stop Event

1×	node limit

Counts

190 → 263

Calls

Call 1

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

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

eval148.0ms (4.8%)

Compiler: Compiled 8459 to 6204 computations (26.7% saved)

prune65.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	474	3	477
Fresh	0	2	2
Picked	1	0	1
Done	2	1	3
Total	477	6	483

Error

Counts

483 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.4b	(/.f64 (/.f64 x (+.f64 (/.f64 1 x) -1)) x)
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	0.1b	(/.f64 2 (-.f64 (/.f64 2 x) 2))
▶	31.6b	(*.f64 (+.f64 x 1) x)
	31.7b	x
	32.1b	-1

Compiler

Compiled 34 to 25 computations (26.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x 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 (+.f64 x 1) x)
0.0ms	x	@	-inf	(*.f64 (+.f64 x 1) x)
0.0ms	x	@	0	(*.f64 (+.f64 x 1) x)

rewrite213.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`rational.json-simplify-53`
1358×	`rational.json-simplify-35`
1322×	`exponential.json-3`
1322×	`rational.json-1`
1322×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	50	13
2	120	13
3	221	13
4	404	13
5	852	13
6	2175	13
7	3807	13
8	4945	13
9	6386	13
10	7167	13
11	7167	13
12	7634	13

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(*.f64 (+.f64 x 1) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 1) (*.f64 x 1/2)) (*.f64 (+.f64 x 1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 x 1)) 0)))) (#(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 x (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 x 1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 x 1) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 8) (*.f64 (+.f64 x 1) 8)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x 8) (*.f64 (+.f64 x 1) 8))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 16 (*.f64 x (+.f64 x 1))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 1) (*.f64 8 (*.f64 x 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x 8) (*.f64 (+.f64 x 1) 8)))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x 1)) 1)))))

simplify399.0ms (13%)

Algorithm

1×	egg-herbie

Rules

3046×	`rational.json-simplify-35`
2002×	`rational.json-simplify-2`
1464×	`rational.json-simplify-53`
1342×	`rational.json-simplify-1`
802×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	314
1	134	314
2	288	314
3	685	314
4	2059	314
5	4443	314
6	5326	314
7	5660	314
8	5965	314
9	6008	314
10	6036	314
11	7251	314
12	7424	314
13	7470	314
14	7724	314
15	7965	314

Stop Event

1×	node limit

Counts

26 → 19

Calls

Call 1

Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 x (+.f64 x 1)) 0)
(+.f64 0 (*.f64 x (+.f64 x 1)))
(+.f64 (.f64 (+.f64 x 1) (.f64 x 1/2)) (.f64 (+.f64 x 1) (.f64 x 1/2)))
(-.f64 (*.f64 x (+.f64 x 1)) 0)
(/.f64 (*.f64 x (+.f64 x 1)) 1)
(/.f64 (*.f64 x (+.f64 x (+.f64 x 2))) 2)
(/.f64 (.f64 x (.f64 (+.f64 x 1) 4)) 4)
(/.f64 (.f64 x (.f64 (+.f64 x 1) 8)) 8)
(/.f64 (.f64 (.f64 x 8) (*.f64 (+.f64 x 1) 8)) 64)
(/.f64 (.f64 2 (.f64 (.f64 x 8) (.f64 (+.f64 x 1) 8))) 128)
(/.f64 (.f64 16 (.f64 x (+.f64 x 1))) 16)
(/.f64 (.f64 (+.f64 x 1) (.f64 8 (*.f64 x 4))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x 8) (*.f64 (+.f64 x 1) 8)))) 256)
(pow.f64 (*.f64 x (+.f64 x 1)) 1)

Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (pow.f64 x 2))
(+.f64 (pow.f64 x 2) x)
(+.f64 x (pow.f64 x 2))
(+.f64 (pow.f64 x 2) x)
(+.f64 x (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (pow.f64 x 2))
(+.f64 (pow.f64 x 2) x)
(+.f64 x (pow.f64 x 2))
(+.f64 (pow.f64 x 2) x)
(+.f64 x (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (pow.f64 x 2))
(+.f64 (pow.f64 x 2) x)
(+.f64 x (pow.f64 x 2))
(+.f64 (pow.f64 x 2) x)
(+.f64 x (pow.f64 x 2))
(+.f64 (*.f64 x (+.f64 x 1)) 0)
(*.f64 x (+.f64 x 1))
(+.f64 0 (*.f64 x (+.f64 x 1)))
(*.f64 x (+.f64 x 1))
(+.f64 (.f64 (+.f64 x 1) (.f64 x 1/2)) (.f64 (+.f64 x 1) (.f64 x 1/2)))
(*.f64 x (+.f64 x 1))
(-.f64 (*.f64 x (+.f64 x 1)) 0)
(*.f64 x (+.f64 x 1))
(/.f64 (*.f64 x (+.f64 x 1)) 1)
(*.f64 x (+.f64 x 1))
(/.f64 (*.f64 x (+.f64 x (+.f64 x 2))) 2)
(*.f64 x (+.f64 x 1))
(/.f64 (.f64 x (.f64 (+.f64 x 1) 4)) 4)
(*.f64 x (+.f64 x 1))
(/.f64 (.f64 x (.f64 (+.f64 x 1) 8)) 8)
(*.f64 x (+.f64 x 1))
(/.f64 (.f64 (.f64 x 8) (*.f64 (+.f64 x 1) 8)) 64)
(*.f64 x (+.f64 x 1))
(/.f64 (.f64 2 (.f64 (.f64 x 8) (.f64 (+.f64 x 1) 8))) 128)
(*.f64 x (+.f64 x 1))
(/.f64 (.f64 16 (.f64 x (+.f64 x 1))) 16)
(*.f64 x (+.f64 x 1))
(/.f64 (.f64 (+.f64 x 1) (.f64 8 (*.f64 x 4))) 32)
(*.f64 x (+.f64 x 1))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x 8) (*.f64 (+.f64 x 1) 8)))) 256)
(*.f64 x (+.f64 x 1))
(pow.f64 (*.f64 x (+.f64 x 1)) 1)
(*.f64 x (+.f64 x 1))

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))

rewrite73.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1530×	`rational.json-1`
1530×	`rational.json-2`
1530×	`rational.json-3`
1526×	`rational.json-4`
1514×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	55	19
2	159	19
3	355	19
4	787	19
5	2298	19
6	6227	19

Stop Event

1×	node limit

Counts

1 → 26

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 2 (*.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 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 8 (+.f64 (/.f64 2 x) -2)))))) (#(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)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (+.f64 (/.f64 2 x) -2)) 1/4)))) (#(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 2 (*.f64 (+.f64 (/.f64 2 x) -2) (*.f64 (+.f64 (/.f64 2 x) -2) 1/2))) (*.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 pow.f64 (/.f64 2 (+.f64 (/.f64 2 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (+.f64 (/.f64 2 x) -2)))))))

simplify81.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational.json-simplify-35`
1234×	`rational.json-simplify-2`
1098×	`rational.json-simplify-55`
1072×	`rational.json-simplify-39`
960×	`rational.json-simplify-59`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	782
1	173	782
2	390	758
3	1098	758
4	3107	758
5	5807	758

Stop Event

1×	node limit

Counts

38 → 48

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

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (+.f64 (/.f64 1 x) -1))
✓	12.3b	(/.f64 (/.f64 x (+.f64 (/.f64 1 x) -1)) x)

Compiler

Compiled 28 to 20 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite88.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`rational.json-1`
1738×	`rational.json-2`
1738×	`rational.json-4`
1738×	`rational.json-3`
1314×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	80	44
2	234	38
3	714	38
4	2201	32
5	6256	32

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1306×	`rational.json-simplify-35`
1244×	`rational.json-simplify-2`
1108×	`rational.json-simplify-54`
832×	`rational.json-simplify-55`
706×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	3318
1	348	3298
2	836	2412
3	2414	2208
4	5689	2208

Stop Event

1×	node limit

Counts

106 → 151

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

eval52.0ms (1.7%)

Compiler: Compiled 2449 to 1788 computations (27% saved)

prune27.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	218	6	224

Error

Counts

224 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	12.4b	(/.f64 (/.f64 x (+.f64 (/.f64 1 x) -1)) x)
✓	0.0b	(/.f64 x (-.f64 1 x))
✓	0.1b	(/.f64 2 (-.f64 (/.f64 2 x) 2))
✓	31.6b	(*.f64 (+.f64 x 1) x)
	31.7b	x
	32.1b	-1

Compiler

Compiled 34 to 25 computations (26.5% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	12.4b	(/.f64 (/.f64 x (+.f64 (/.f64 1 x) -1)) x)
✓	0.0b	(/.f64 x (-.f64 1 x))
✓	0.1b	(/.f64 2 (-.f64 (/.f64 2 x) 2))
✓	31.6b	(*.f64 (+.f64 x 1) x)
	31.7b	x
	32.1b	-1

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes12.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	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 70 to 51 computations (27.1% saved)

regimes11.0ms (0.4%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.2b	3	`x`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch27.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.0025893965502413775	3624.5268431729487
14.0ms	-926.6722496165492	-0.00525204932195224

Results

24.0ms

288×

body

256

valid

Compiler

Compiled 190 to 151 computations (20.5% saved)

regimes10.0ms (0.3%)

Accuracy

Total -59.9b remaining (-3093.6%)

Threshold costs -59.9b (-3093.6%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
x

Outputs
-1
x
-1

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.9b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch27.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.0025893965502413775	3624.5268431729487
13.0ms	-926.6722496165492	-0.00525204932195224

Results

24.0ms

288×

body

256

valid

Compiler

Compiled 118 to 97 computations (17.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	68

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -3422735716801577/4503599627370496) -1 (if (<=.f64 x 1) (*.f64 (+.f64 x 1) x) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Outputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -3422735716801577/4503599627370496) -1 (if (<=.f64 x 1) (*.f64 (+.f64 x 1) x) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Compiler

Compiled 36 to 27 computations (25% saved)

soundness0.0ms (0%)

end28.0ms (0.9%)

Compiler: Compiled 33 to 24 computations (27.3% saved)

Details

analyze3.0ms (0.1%)

sample566.0ms (18.5%)

preprocess139.0ms (4.5%)

simplify141.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite83.0ms (2.7%)

simplify97.0ms (3.2%)

eval38.0ms (1.3%)

prune19.0ms (0.6%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite91.0ms (3%)

simplify88.0ms (2.9%)

localize11.0ms (0.4%)

series1.0ms (0%)

rewrite76.0ms (2.5%)

simplify75.0ms (2.5%)

localize22.0ms (0.7%)

series2.0ms (0.1%)

rewrite98.0ms (3.2%)

simplify115.0ms (3.7%)

eval148.0ms (4.8%)

prune65.0ms (2.1%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite213.0ms (6.9%)

simplify399.0ms (13%)

localize8.0ms (0.3%)

series0.0ms (0%)

rewrite73.0ms (2.4%)

simplify81.0ms (2.6%)

localize11.0ms (0.3%)

series1.0ms (0%)

rewrite88.0ms (2.9%)

simplify90.0ms (3%)

eval52.0ms (1.7%)

prune27.0ms (0.9%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes12.0ms (0.4%)

regimes11.0ms (0.4%)

bsearch27.0ms (0.9%)

regimes10.0ms (0.3%)

bsearch27.0ms (0.9%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end28.0ms (0.9%)

Profiling