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
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.1s (51.1%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess12.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best-simplify-22`
2×	`rational_best-simplify-1`
2×	`rational_best-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	10	19
2	12	19
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-22`
2×	`rational_best-simplify-1`
2×	`rational_best-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	10	19
2	12	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% 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

15.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.7b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.7b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite154.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`rational_best-1`
1548×	`rational_best-2`
1538×	`rational_best-3`
880×	`rational_best-simplify-51`
726×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	46	19
2	78	19
3	107	19
4	143	19
5	253	19
6	594	19
7	1979	19
8	3761	19
9	6803	19

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 x (+.f64 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1))) (/.f64 x (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (/.f64 (.f64 x 3) (+.f64 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 4) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 x 3) (+.f64 (.f64 x x) 1)) (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1)))) (+.f64 -1 (/.f64 x (-.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x (-.f64 -1 (.f64 x x)))) (+.f64 -1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x (+.f64 (.f64 x x) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 x (-.f64 -1 (.f64 x x)))) (+.f64 1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1)))) (+.f64 1 (/.f64 x (-.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 5) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1))) (/.f64 x (+.f64 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 4) (/.f64 (.f64 x 3) (+.f64 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x 3) (+.f64 (.f64 x x) 1)) (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 (.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4) (-.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4) (+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4) (/.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 6) -1) (/.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 7) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 6) -1) (+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 8) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 6) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1)))) (+.f64 1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1))))) (+.f64 (+.f64 1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1)))) (+.f64 1 (/.f64 x (+.f64 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (+.f64 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) 3) (/.f64 2 (-.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (-.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) (/.f64 -1 (+.f64 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 (.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) 2) (-.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (/.f64 2 (+.f64 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 (.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) 2) (.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 x (+.f64 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 (.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 x (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 x x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x 3) (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x -2) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x -2) (-.f64 x (.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x 4) (-.f64 x (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x 4) (.f64 (neg.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 -1 (+.f64 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) 3) (.f64 2 (/.f64 2 (-.f64 -1 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (+.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) (-.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (/.f64 2 (+.f64 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (+.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) (.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (-.f64 -1 (.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x 3) (.f64 2 (.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (+.f64 (+.f64 x x) (-.f64 x (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (+.f64 (+.f64 x x) (.f64 (neg.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -1 (*.f64 x x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 -1 (*.f64 x x))) (*.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1))) (/.f64 x (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 2 (-.f64 -1 (*.f64 x x)))) (/.f64 (*.f64 x 3) (+.f64 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 4) (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 3) (+.f64 (*.f64 x x) 1)) (*.f64 x (/.f64 2 (-.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) -3) (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1)))) (+.f64 -1 (/.f64 x (-.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))) (+.f64 -1 (*.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) -4) (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 x (-.f64 -1 (*.f64 x x)))) (+.f64 1 (*.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1)))) (+.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 5) (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 -1 (*.f64 x x))) (*.f64 x (/.f64 2 (-.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1))) (/.f64 x (+.f64 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 2 (-.f64 -1 (*.f64 x x)))) (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 4) (/.f64 (*.f64 x 3) (+.f64 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 3) (+.f64 (*.f64 x x) 1)) (*.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) -3) (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) -4) (-.f64 (/.f64 x (-.f64 -1 (*.f64 x x))) (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) -4) (+.f64 (*.f64 x (/.f64 2 (-.f64 -1 (*.f64 x x)))) (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) -4) (/.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 6) -1) (/.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 7) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 6) -1) (+.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) -3) (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 8) (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 6) (*.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (*.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1)))) (+.f64 1 (*.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1))))) (+.f64 (+.f64 1 (*.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1)))) (+.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 x x) 1)) 3) (/.f64 2 (-.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (/.f64 2 (-.f64 -1 (*.f64 x x))) (*.f64 (/.f64 1 (+.f64 (*.f64 x x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (/.f64 2 (-.f64 -1 (*.f64 x x))) (-.f64 (/.f64 2 (+.f64 (*.f64 x x) 1)) (/.f64 -1 (+.f64 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 (/.f64 2 (+.f64 (*.f64 x x) 1)) 2) (-.f64 (/.f64 -1 (+.f64 (*.f64 x x) 1)) (/.f64 2 (+.f64 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 (/.f64 2 (+.f64 (*.f64 x x) 1)) 2) (*.f64 (/.f64 -1 (+.f64 (*.f64 x x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 x x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 x x) 1)) (+.f64 (*.f64 x 3) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 x x) 1)) (+.f64 (*.f64 x -2) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 x x) 1)) (+.f64 (*.f64 x -2) (-.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 x x) 1)) (+.f64 (*.f64 x 4) (-.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 x x) 1)) (+.f64 (*.f64 x 4) (*.f64 (neg.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (+.f64 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 x x) 1)) 3) (*.f64 2 (/.f64 2 (-.f64 -1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 (/.f64 2 (+.f64 (*.f64 x x) 1)) (-.f64 (/.f64 -1 (+.f64 (*.f64 x x) 1)) (/.f64 2 (+.f64 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 (/.f64 2 (+.f64 (*.f64 x x) 1)) (*.f64 (/.f64 -1 (+.f64 (*.f64 x x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 -1 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (*.f64 x x) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (*.f64 x x) 1)) (+.f64 (*.f64 x 3) (*.f64 2 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (*.f64 x x) 1)) (+.f64 (+.f64 x x) (-.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (*.f64 x x) 1)) (+.f64 (+.f64 x x) (*.f64 (neg.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -1 (*.f64 x x))))))))

simplify197.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

1478×	`rational_best-simplify-2`
928×	`rational_best-simplify-46`
890×	`rational_best-simplify-49`
880×	`rational_best-simplify-55`
832×	`rational_best-simplify-6`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	159	1923
1	276	1915
2	457	1885
3	842	1883
4	2098	1853
5	4851	1851
6	6544	1851
7	7248	1851
8	7900	1851

Stop Event

1×	node limit

Counts

71 → 94

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 0)
(+.f64 0 (/.f64 x (+.f64 (*.f64 x x) 1)))
(+.f64 -1 (+.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1))))
(+.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1))))
(+.f64 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1))) (/.f64 x (-.f64 -1 (*.f64 x x))))
(+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (/.f64 (.f64 x 3) (+.f64 (.f64 x x) 1)))
(+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 4) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3))
(+.f64 (/.f64 (.f64 x 3) (+.f64 (.f64 x x) 1)) (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))))
(+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 4))
(+.f64 (+.f64 1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1)))) (+.f64 -1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(+.f64 (+.f64 1 (/.f64 x (-.f64 -1 (.f64 x x)))) (+.f64 -1 (.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1)))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1))) -1)
(+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 5))
(+.f64 (+.f64 -1 (/.f64 x (-.f64 -1 (.f64 x x)))) (+.f64 1 (.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1)))))
(+.f64 (+.f64 -1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1)))) (+.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 5) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4))
(-.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 0)
(-.f64 0 (/.f64 x (-.f64 -1 (*.f64 x x))))
(-.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 x (/.f64 2 (-.f64 -1 (*.f64 x x)))))
(-.f64 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1))) (/.f64 x (+.f64 (*.f64 x x) 1)))
(-.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 4) (/.f64 (.f64 x 3) (+.f64 (.f64 x x) 1)))
(-.f64 (/.f64 (.f64 x 3) (+.f64 (.f64 x x) 1)) (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1))))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1))) 1)
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4) (-.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 4)))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4) (+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3)))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4) (/.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 5) -1))
(-.f64 (/.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 6) -1) (/.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 7) -1))
(-.f64 (/.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 6) -1) (+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4)))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 8) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 7))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 6) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 5))
(-.f64 (+.f64 (+.f64 1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1)))) (+.f64 1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1))))) (+.f64 (+.f64 1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1)))) (+.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1)))))
(.f64 x (/.f64 1 (+.f64 (.f64 x x) 1)))
(.f64 x (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) 3) (/.f64 2 (-.f64 -1 (.f64 x x)))))
(.f64 x (+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) 3)))
(.f64 x (+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (-.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) (/.f64 -1 (+.f64 (.f64 x x) 1)))))
(.f64 x (+.f64 (.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) 2) (-.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (/.f64 2 (+.f64 (*.f64 x x) 1)))))
(.f64 x (+.f64 (.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) 2) (.f64 (/.f64 -1 (+.f64 (*.f64 x x) 1)) 3)))
(.f64 1 (/.f64 x (+.f64 (.f64 x x) 1)))
(.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 1)
(.f64 -1 (/.f64 x (-.f64 -1 (.f64 x x))))
(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) x)
(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x 3) (.f64 x -2)))
(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x -2) (.f64 x 3)))
(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x -2) (-.f64 x (.f64 x -2))))
(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x 4) (-.f64 x (.f64 x 4))))
(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x 4) (.f64 (neg.f64 x) 3)))
(.f64 (neg.f64 x) (/.f64 -1 (+.f64 (.f64 x x) 1)))
(.f64 (neg.f64 x) (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) 3) (.f64 2 (/.f64 2 (-.f64 -1 (*.f64 x x))))))
(.f64 (neg.f64 x) (+.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) (-.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (/.f64 2 (+.f64 (.f64 x x) 1)))))
(.f64 (neg.f64 x) (+.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) (.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) 3)))
(.f64 (/.f64 x (-.f64 -1 (.f64 x x))) -1)
(.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (neg.f64 x))
(.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x 3) (.f64 2 (*.f64 x -2))))
(.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (+.f64 (+.f64 x x) (-.f64 x (*.f64 x 4))))
(.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (+.f64 (+.f64 x x) (*.f64 (neg.f64 x) 3)))
(pow.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 1)
(neg.f64 (/.f64 x (-.f64 -1 (*.f64 x x))))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1 (pow.f64 x 3)))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 x (+.f64 (pow.f64 x 5) (*.f64 -1 (pow.f64 x 3))))
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 -1 (pow.f64 x 7)) (pow.f64 x 5))))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 (neg.f64 (pow.f64 x 7)) (+.f64 x (pow.f64 x 5))))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 x (neg.f64 (pow.f64 x 7)))))
(+.f64 (pow.f64 x 5) (+.f64 x (*.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 x 7)))))
(+.f64 (pow.f64 x 5) (+.f64 x (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 7)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 0)
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 0 (/.f64 x (+.f64 (*.f64 x x) 1)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 -1 (+.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1))) (/.f64 x (-.f64 -1 (*.f64 x x))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (/.f64 (.f64 x 3) (+.f64 (.f64 x x) 1)))
(+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 3 (/.f64 x (+.f64 1 (.f64 x x)))))
(+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 x (/.f64 3 (+.f64 1 (.f64 x x)))))
(.f64 x (+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (/.f64 3 (+.f64 1 (*.f64 x x)))))
(+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 4) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (/.f64 (.f64 x 3) (+.f64 (.f64 x x) 1)) (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))))
(+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 3 (/.f64 x (+.f64 1 (.f64 x x)))))
(+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 x (/.f64 3 (+.f64 1 (.f64 x x)))))
(.f64 x (+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (/.f64 3 (+.f64 1 (*.f64 x x)))))
(+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 4))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (+.f64 1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1)))) (+.f64 -1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (+.f64 1 (/.f64 x (-.f64 -1 (.f64 x x)))) (+.f64 -1 (.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (+.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1))) -1)
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 5))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (+.f64 -1 (/.f64 x (-.f64 -1 (.f64 x x)))) (+.f64 1 (.f64 x (/.f64 2 (+.f64 (*.f64 x x) 1)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (+.f64 -1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1)))) (+.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 5) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 0)
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 0 (/.f64 x (-.f64 -1 (*.f64 x x))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 x (/.f64 2 (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1))) (/.f64 x (+.f64 (*.f64 x x) 1)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 4) (/.f64 (.f64 x 3) (+.f64 (.f64 x x) 1)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (.f64 x 3) (+.f64 (.f64 x x) 1)) (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1))) 1)
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4) (-.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 4)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4) (+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3)))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3)))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (/.f64 (.f64 x 3) (-.f64 -1 (.f64 x x)))))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (.f64 x (+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (/.f64 3 (-.f64 -1 (*.f64 x x))))))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4) (/.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 5) -1))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 6) -1) (/.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 7) -1))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 6) -1) (+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -3) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) -4)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 8) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 7))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 6) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 5))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (+.f64 (+.f64 1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1)))) (+.f64 1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1))))) (+.f64 (+.f64 1 (.f64 x (/.f64 2 (+.f64 (.f64 x x) 1)))) (+.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 x (/.f64 1 (+.f64 (.f64 x x) 1)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 x (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) 3) (/.f64 2 (-.f64 -1 (.f64 x x)))))
(+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 3 (/.f64 x (+.f64 1 (.f64 x x)))))
(+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 x (/.f64 3 (+.f64 1 (.f64 x x)))))
(.f64 x (+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (/.f64 3 (+.f64 1 (*.f64 x x)))))
(.f64 x (+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) 3)))
(+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 3 (/.f64 x (+.f64 1 (.f64 x x)))))
(+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 x (/.f64 3 (+.f64 1 (.f64 x x)))))
(.f64 x (+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (/.f64 3 (+.f64 1 (*.f64 x x)))))
(.f64 x (+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (-.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) (/.f64 -1 (+.f64 (.f64 x x) 1)))))
(+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 3 (/.f64 x (+.f64 1 (.f64 x x)))))
(+.f64 (.f64 x (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 x (/.f64 3 (+.f64 1 (.f64 x x)))))
(.f64 x (+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (/.f64 3 (+.f64 1 (*.f64 x x)))))
(.f64 x (+.f64 (.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) 2) (-.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (/.f64 2 (+.f64 (*.f64 x x) 1)))))
(.f64 x (+.f64 (.f64 2 (/.f64 2 (+.f64 1 (.f64 x x)))) (/.f64 -3 (+.f64 1 (.f64 x x)))))
(.f64 x (+.f64 (.f64 2 (/.f64 2 (+.f64 1 (.f64 x x)))) (/.f64 3 (-.f64 -1 (.f64 x x)))))
(.f64 x (+.f64 (.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) 2) (.f64 (/.f64 -1 (+.f64 (*.f64 x x) 1)) 3)))
(.f64 x (+.f64 (.f64 2 (/.f64 2 (+.f64 1 (.f64 x x)))) (.f64 3 (/.f64 -1 (+.f64 1 (*.f64 x x))))))
(.f64 1 (/.f64 x (+.f64 (.f64 x x) 1)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 1)
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 -1 (/.f64 x (-.f64 -1 (.f64 x x))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) x)
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x 3) (.f64 x -2)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x -2) (.f64 x 3)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x -2) (-.f64 x (.f64 x -2))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x 4) (-.f64 x (.f64 x 4))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x 4) (.f64 (neg.f64 x) 3)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 (neg.f64 x) (/.f64 -1 (+.f64 (.f64 x x) 1)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 (neg.f64 x) (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) 3) (.f64 2 (/.f64 2 (-.f64 -1 (*.f64 x x))))))
(.f64 (neg.f64 x) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (.f64 x x)))) (.f64 2 (/.f64 2 (-.f64 -1 (*.f64 x x))))))
(.f64 x (neg.f64 (+.f64 (.f64 2 (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 3 (/.f64 -1 (-.f64 -1 (*.f64 x x)))))))
(.f64 (neg.f64 x) (+.f64 (.f64 2 (/.f64 2 (-.f64 -1 (.f64 x x)))) (.f64 3 (/.f64 -1 (-.f64 -1 (*.f64 x x))))))
(.f64 (neg.f64 x) (+.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) (-.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (/.f64 2 (+.f64 (.f64 x x) 1)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 (neg.f64 x) (+.f64 (/.f64 2 (+.f64 (.f64 x x) 1)) (.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) 3)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 (/.f64 x (-.f64 -1 (.f64 x x))) -1)
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (neg.f64 x))
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x 3) (.f64 2 (*.f64 x -2))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (+.f64 (+.f64 x x) (-.f64 x (*.f64 x 4))))
(.f64 (/.f64 -1 (+.f64 1 (.f64 x x))) (+.f64 (-.f64 x (*.f64 x 4)) (+.f64 x x)))
(.f64 (/.f64 -1 (+.f64 1 (.f64 x x))) (+.f64 x (*.f64 x -2)))
(.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) (+.f64 (+.f64 x x) (*.f64 (neg.f64 x) 3)))
(.f64 (/.f64 -1 (+.f64 1 (.f64 x x))) (+.f64 (-.f64 x (*.f64 x 4)) (+.f64 x x)))
(.f64 (/.f64 -1 (+.f64 1 (.f64 x x))) (+.f64 x (*.f64 x -2)))
(pow.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 1)
(/.f64 x (+.f64 1 (*.f64 x x)))
(neg.f64 (/.f64 x (-.f64 -1 (*.f64 x x))))
(/.f64 x (+.f64 1 (*.f64 x x)))

eval24.0ms (1.1%)

Compiler: Compiled 1568 to 977 computations (37.7% saved)

prune13.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	4	95

Error

Counts

95 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.7b	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	28.4b	(/.f64 1 x)
▶	15.7b	(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) x)
	33.6b	x

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (+.f64 (*.f64 x x) 1))
✓	15.4b	(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) x)

Compiler

Compiled 27 to 14 computations (48.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite93.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`rational_best-1`
1562×	`rational_best-2`
1546×	`rational_best-3`
914×	`rational_best-simplify-51`
740×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	44
1	53	44
2	85	38
3	102	38
4	115	38
5	157	38
6	270	38
7	620	38
8	2058	38
9	4047	38
10	7103	38

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 x (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x))) (/.f64 x (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -2) (/.f64 (.f64 x 3) (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 4) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 x 3) (+.f64 1 (.f64 x x))) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x (-.f64 -1 (.f64 x x)))) (+.f64 -1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x (+.f64 1 (.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))) (+.f64 -1 (/.f64 x (-.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 x (-.f64 -1 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))) (+.f64 1 (/.f64 x (-.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 5) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 1 (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x))) (/.f64 x (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -2) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 4) (/.f64 (.f64 x 3) (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x 3) (+.f64 1 (.f64 x x))) (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 1 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (-.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -2) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (/.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 6) -1) (/.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 7) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 6) -1) (+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 8) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 6) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x))))) (+.f64 (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))) (+.f64 1 (/.f64 x (+.f64 1 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (+.f64 1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (-.f64 -1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (-.f64 -1 (.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -1 (.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) (/.f64 2 (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (.f64 x x))) (/.f64 1 (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) (/.f64 2 (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (.f64 x x))) (/.f64 1 (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 4) (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (/.f64 (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3) (/.f64 2 (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3) (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3)) (+.f64 (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3) (/.f64 2 (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 4) (.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 4)) (+.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 4) (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (-.f64 -1 (.f64 x x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 x (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 -1 (*.f64 x x))) (/.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 x (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -2) (/.f64 (*.f64 x 3) (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 4) (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 3) (+.f64 1 (*.f64 x x))) (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))) (+.f64 -1 (/.f64 (+.f64 x x) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x (+.f64 1 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (*.f64 x x)))) (+.f64 -1 (/.f64 x (-.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -3) (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -4) (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 x (-.f64 -1 (*.f64 x x)))) (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (+.f64 x x) (+.f64 1 (*.f64 x x)))) (+.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 5) (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 -1 (*.f64 x x))) (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 x (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -2) (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 4) (/.f64 (*.f64 x 3) (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 3) (+.f64 1 (*.f64 x x))) (/.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -3) (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -4) (-.f64 (/.f64 x (-.f64 -1 (*.f64 x x))) (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -4) (+.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -2) (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -4) (/.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 6) -1) (/.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 7) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 6) -1) (+.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -3) (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 8) (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 6) (*.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (*.f64 x x)))) (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))))) (+.f64 (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (*.f64 x x)))) (+.f64 1 (/.f64 x (+.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (-.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (-.f64 -1 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -1 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) (/.f64 2 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) (/.f64 2 (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) 4) (*.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (-.f64 -1 (*.f64 x x))) (*.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (-.f64 -1 (*.f64 x x))) (/.f64 (*.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) -3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) -3) (/.f64 2 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) -3) (*.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) -3)) (+.f64 (*.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) -3) (/.f64 2 (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) 4) (*.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) 4)) (+.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) 4) (*.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))))))))

simplify306.0ms (14.5%)

Algorithm

1×	egg-herbie

Rules

1596×	`rational_best-simplify-47`
1554×	`rational_best-simplify-1`
1126×	`rational_best-simplify-2`
860×	`rational_best-simplify-55`
648×	`rational_best-simplify-46`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	157	2189
1	275	2113
2	453	2113
3	689	2109
4	1512	2079
5	3284	2075
6	5275	2075
7	6493	2075
8	6996	2075
9	7122	2075
10	7124	2075
11	7124	2075

Stop Event

1×	node limit

Counts

83 → 113

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 (.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 1 (/.f64 x (+.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x))))
(+.f64 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x))) (/.f64 x (-.f64 -1 (.f64 x x))))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -2) (/.f64 (.f64 x 3) (+.f64 1 (.f64 x x))))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 4) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3))
(+.f64 (/.f64 (.f64 x 3) (+.f64 1 (.f64 x x))) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -2))
(+.f64 (+.f64 1 (/.f64 x (-.f64 -1 (.f64 x x)))) (+.f64 -1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (*.f64 x x)))) -1)
(+.f64 (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))) (+.f64 -1 (/.f64 x (-.f64 -1 (.f64 x x)))))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 4))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 5))
(+.f64 (+.f64 -1 (/.f64 x (-.f64 -1 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))))
(+.f64 (+.f64 -1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))) (+.f64 1 (/.f64 x (-.f64 -1 (.f64 x x)))))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 5) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4))
(-.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 0)
(-.f64 0 (/.f64 x (-.f64 -1 (*.f64 x x))))
(-.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -2))
(-.f64 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x))) (/.f64 x (+.f64 1 (.f64 x x))))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -2) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 4) (/.f64 (.f64 x 3) (+.f64 1 (.f64 x x))))
(-.f64 (/.f64 (.f64 x 3) (+.f64 1 (.f64 x x))) (/.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 1 (*.f64 x x)))) 1)
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (-.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 4)))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -2) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3)))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (/.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 5) -1))
(-.f64 (/.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 6) -1) (/.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 7) -1))
(-.f64 (/.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 6) -1) (+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4)))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 8) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 7))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 6) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 5))
(-.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x))))) (+.f64 (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))) (+.f64 1 (/.f64 x (+.f64 1 (.f64 x x))))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 1)
(/.f64 (neg.f64 x) (-.f64 -1 (*.f64 x x)))
(/.f64 (/.f64 x (-.f64 -1 (*.f64 x x))) -1)
(pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) 0)
(+.f64 0 (/.f64 1 (+.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) (/.f64 2 (+.f64 1 (.f64 x x))))
(+.f64 (/.f64 2 (+.f64 1 (.f64 x x))) (/.f64 1 (-.f64 -1 (.f64 x x))))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) 0)
(-.f64 0 (/.f64 1 (-.f64 -1 (*.f64 x x))))
(-.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) (/.f64 2 (-.f64 -1 (.f64 x x))))
(-.f64 (/.f64 2 (+.f64 1 (.f64 x x))) (/.f64 1 (+.f64 1 (.f64 x x))))
(-.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 4) (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3))
(-.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) 3))
(-.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (/.f64 (.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) -3) -1))
(-.f64 (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3) (/.f64 2 (+.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3) (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3)) (+.f64 (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3) (/.f64 2 (+.f64 1 (*.f64 x x)))))
(-.f64 (+.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 4) (.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 4)) (+.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 4) (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3)))
(.f64 1 (/.f64 1 (+.f64 1 (.f64 x x))))
(.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 1)
(.f64 -1 (/.f64 1 (-.f64 -1 (.f64 x x))))
(.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -1)
(pow.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) 1)
(neg.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1 (pow.f64 x 3)))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 x (+.f64 (pow.f64 x 5) (*.f64 -1 (pow.f64 x 3))))
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 -1 (pow.f64 x 7)) (pow.f64 x 5))))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 (neg.f64 (pow.f64 x 7)) (+.f64 x (pow.f64 x 5))))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 (+.f64 x (pow.f64 x 5)) (neg.f64 (pow.f64 x 7))))
(+.f64 (pow.f64 x 5) (+.f64 x (*.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 x 7)))))
(+.f64 (pow.f64 x 5) (+.f64 x (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 7)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 4)))
(+.f64 (.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(+.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 6))))
(+.f64 (+.f64 1 (neg.f64 (pow.f64 x 2))) (+.f64 (pow.f64 x 4) (neg.f64 (pow.f64 x 6))))
(+.f64 (pow.f64 x 4) (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (neg.f64 (pow.f64 x 6)))))
(+.f64 (pow.f64 x 4) (+.f64 1 (*.f64 -1 (+.f64 (pow.f64 x 6) (pow.f64 x 2)))))
(+.f64 (pow.f64 x 4) (+.f64 1 (*.f64 -1 (+.f64 (pow.f64 x 2) (pow.f64 x 6)))))
(+.f64 (pow.f64 x 4) (+.f64 1 (neg.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 6)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 0)
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 0 (/.f64 x (+.f64 1 (*.f64 x x))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 -1 (+.f64 1 (/.f64 x (+.f64 1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x))) (/.f64 x (-.f64 -1 (.f64 x x))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -2) (/.f64 (.f64 x 3) (+.f64 1 (.f64 x x))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 4) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (/.f64 (.f64 x 3) (+.f64 1 (.f64 x x))) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -2))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (+.f64 1 (/.f64 x (-.f64 -1 (.f64 x x)))) (+.f64 -1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (*.f64 x x)))) -1)
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))) (+.f64 -1 (/.f64 x (-.f64 -1 (.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 4))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 5))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (+.f64 -1 (/.f64 x (-.f64 -1 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (+.f64 -1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))) (+.f64 1 (/.f64 x (-.f64 -1 (.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 5) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 0)
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 0 (/.f64 x (-.f64 -1 (*.f64 x x))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 (/.f64 x (+.f64 1 (*.f64 x x))) -2))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x))) (/.f64 x (+.f64 1 (.f64 x x))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -2) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 4) (/.f64 (.f64 x 3) (+.f64 1 (.f64 x x))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (.f64 x 3) (+.f64 1 (.f64 x x))) (/.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 1 (*.f64 x x)))) 1)
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (-.f64 (/.f64 x (-.f64 -1 (.f64 x x))) (.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 4)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -2) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4) (/.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 5) -1))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 6) -1) (/.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 7) -1))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 6) -1) (+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -3) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) -4)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 8) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 7))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 6) (.f64 (/.f64 x (+.f64 1 (.f64 x x))) 5))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x))))) (+.f64 (+.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (.f64 x x)))) (+.f64 1 (/.f64 x (+.f64 1 (.f64 x x))))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 1)
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (-.f64 -1 (*.f64 x x)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (/.f64 x (-.f64 -1 (*.f64 x x))) -1)
(/.f64 x (+.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 1)
(/.f64 x (+.f64 1 (*.f64 x x)))
(neg.f64 (/.f64 x (-.f64 -1 (*.f64 x x))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) 0)
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(+.f64 0 (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) (/.f64 2 (+.f64 1 (.f64 x x))))
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 2 (+.f64 1 (.f64 x x))) (/.f64 1 (-.f64 -1 (.f64 x x))))
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) 0)
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(-.f64 0 (/.f64 1 (-.f64 -1 (*.f64 x x))))
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) (/.f64 2 (-.f64 -1 (.f64 x x))))
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 2 (+.f64 1 (.f64 x x))) (/.f64 1 (+.f64 1 (.f64 x x))))
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(-.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 4) (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3))
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) 3))
(-.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 3 (/.f64 1 (-.f64 -1 (*.f64 x x)))))
(+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 -3 (/.f64 -1 (+.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 3 (/.f64 -1 (-.f64 -1 (*.f64 x x)))))
(-.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (/.f64 (.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))) -3) -1))
(-.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 3 (/.f64 1 (-.f64 -1 (*.f64 x x)))))
(+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 -3 (/.f64 -1 (+.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 3 (/.f64 -1 (-.f64 -1 (*.f64 x x)))))
(-.f64 (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3) (/.f64 2 (+.f64 1 (*.f64 x x))))
(-.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 3 (/.f64 1 (-.f64 -1 (*.f64 x x)))))
(+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 -3 (/.f64 -1 (+.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 2 (-.f64 -1 (.f64 x x))) (.f64 3 (/.f64 -1 (-.f64 -1 (*.f64 x x)))))
(-.f64 (+.f64 (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3) (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3)) (+.f64 (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3) (/.f64 2 (+.f64 1 (*.f64 x x)))))
(-.f64 (+.f64 (.f64 -3 (/.f64 1 (-.f64 -1 (.f64 x x)))) (.f64 -3 (/.f64 1 (-.f64 -1 (.f64 x x))))) (+.f64 (/.f64 2 (+.f64 1 (.f64 x x))) (.f64 -3 (/.f64 1 (-.f64 -1 (*.f64 x x))))))
(-.f64 (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -6) (+.f64 (/.f64 2 (+.f64 1 (.f64 x x))) (.f64 -3 (/.f64 1 (-.f64 -1 (*.f64 x x))))))
(-.f64 (.f64 (/.f64 -1 (+.f64 1 (.f64 x x))) -6) (+.f64 (/.f64 2 (+.f64 1 (.f64 x x))) (.f64 -3 (/.f64 -1 (+.f64 1 (*.f64 x x))))))
(-.f64 (.f64 6 (/.f64 -1 (-.f64 -1 (.f64 x x)))) (+.f64 (/.f64 2 (+.f64 1 (.f64 x x))) (.f64 3 (/.f64 -1 (-.f64 -1 (*.f64 x x))))))
(-.f64 (.f64 3 (/.f64 2 (+.f64 1 (.f64 x x)))) (+.f64 (/.f64 2 (+.f64 1 (.f64 x x))) (.f64 3 (/.f64 -1 (-.f64 -1 (*.f64 x x))))))
(-.f64 (+.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 4) (.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 4)) (+.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 4) (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -3)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (+.f64 1 (.f64 x x)))) (.f64 4 (/.f64 1 (+.f64 1 (.f64 x x))))) (+.f64 (.f64 4 (/.f64 1 (+.f64 1 (.f64 x x)))) (.f64 -3 (/.f64 1 (-.f64 -1 (.f64 x x))))))
(-.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 8) (+.f64 (.f64 4 (/.f64 1 (+.f64 1 (.f64 x x)))) (.f64 -3 (/.f64 1 (-.f64 -1 (.f64 x x))))))
(-.f64 (.f64 8 (/.f64 -1 (-.f64 -1 (.f64 x x)))) (+.f64 (.f64 4 (/.f64 -1 (-.f64 -1 (.f64 x x)))) (.f64 -3 (/.f64 1 (-.f64 -1 (.f64 x x))))))
(-.f64 (.f64 8 (/.f64 1 (+.f64 1 (.f64 x x)))) (+.f64 (.f64 4 (/.f64 1 (+.f64 1 (.f64 x x)))) (.f64 -3 (/.f64 -1 (+.f64 1 (.f64 x x))))))
(-.f64 (.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -8) (.f64 7 (/.f64 -1 (-.f64 -1 (.f64 x x)))))
(-.f64 (.f64 8 (/.f64 -1 (-.f64 -1 (.f64 x x)))) (.f64 7 (/.f64 -1 (-.f64 -1 (.f64 x x)))))
(-.f64 (.f64 4 (/.f64 2 (+.f64 1 (.f64 x x)))) (.f64 7 (/.f64 -1 (-.f64 -1 (.f64 x x)))))
(.f64 1 (/.f64 1 (+.f64 1 (.f64 x x))))
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(.f64 (/.f64 1 (+.f64 1 (.f64 x x))) 1)
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(.f64 -1 (/.f64 1 (-.f64 -1 (.f64 x x))))
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) -1)
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(pow.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) 1)
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(neg.f64 (/.f64 1 (-.f64 -1 (*.f64 x x))))
(/.f64 1 (+.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))

localize4.0ms (0.2%)

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

eval30.0ms (1.4%)

Compiler: Compiled 1923 to 1239 computations (35.6% saved)

prune15.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Error

Counts

117 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.7b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	28.4b	(/.f64 1 x)
✓	15.7b	(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) x)
	33.6b	x

Compiler

Compiled 24 to 16 computations (33.3% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.7b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	28.4b	(/.f64 1 x)
✓	15.7b	(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) x)
	33.6b	x

Compiler

Compiled 24 to 16 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.7b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	28.4b	(/.f64 1 x)
✓	15.7b	(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) x)
	33.6b	x

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes21.0ms (1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
10.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))

Results

Error	Segments	Branch
0.0b	3	`x`
0.1b	3	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Compiler

Compiled 31 to 18 computations (41.9% saved)

bsearch11.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	2456723.39034527	11917284010.137674
2.0ms	-7.334573111919639e+23	-2.5292398084389452e+23

Results

9.0ms

96×

body

256

valid

Compiler

Compiled 108 to 80 computations (25.9% saved)

regimes21.0ms (1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
8.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))

Results

Error	Segments	Branch
0.0b	3	`x`
0.1b	3	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch9.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	2456723.39034527	11917284010.137674
2.0ms	-5.714527705933511e+20	-486724103856873.5

Results

8.0ms

96×

body

256

valid

Compiler

Compiled 96 to 68 computations (29.2% saved)

regimes15.0ms (0.7%)

Accuracy

Total -61.2b remaining (-14184.6%)

Threshold costs -61.2b (-14184.6%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

bsearch35.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	3.427942751361312e-13	72.17330020399665
15.0ms	-300.2487432397917	-2.256552464206923e-9

Results

32.0ms

320×

body

256

valid

Compiler

Compiled 172 to 128 computations (25.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	142

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -499999999999999991611392) (/.f64 1 x) (if (<=.f64 x 150000000) (.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) x) (/.f64 1 x)))
(if (<=.f64 x -500000000000000000000) (/.f64 1 x) (if (<=.f64 x 150000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Outputs
(if (<=.f64 x -499999999999999991611392) (/.f64 1 x) (if (<=.f64 x 150000000) (.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) x) (/.f64 1 x)))
(if (<=.f64 x -500000000000000000000) (/.f64 1 x) (if (<=.f64 x 150000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Compiler

Compiled 64 to 44 computations (31.3% saved)

soundness0.0ms (0%)

end37.0ms (1.8%)

Compiler: Compiled 61 to 40 computations (34.4% saved)

Details

analyze3.0ms (0.1%)

sample1.1s (51.1%)

preprocess12.0ms (0.6%)

simplify10.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series1.0ms (0%)

rewrite154.0ms (7.3%)

simplify197.0ms (9.3%)

eval24.0ms (1.1%)

prune13.0ms (0.6%)

localize9.0ms (0.4%)

series1.0ms (0%)

rewrite93.0ms (4.4%)

simplify306.0ms (14.5%)

localize4.0ms (0.2%)

eval30.0ms (1.4%)

prune15.0ms (0.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes21.0ms (1%)

bsearch11.0ms (0.5%)

regimes21.0ms (1%)

bsearch9.0ms (0.4%)

regimes15.0ms (0.7%)

bsearch35.0ms (1.7%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end37.0ms (1.8%)

Profiling