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)

sample1.0s (30.7%)

Results

994.0ms

8256×

body

256

valid

Bogosity

preprocess91.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

1856×	`rational.json-simplify-35`
1706×	`rational.json-simplify-51`
1346×	`rational.json-simplify-53`
1012×	`rational.json-simplify-39`
862×	`rational.json-simplify-59`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	13	19
2	26	19
3	68	19
4	286	19
5	2282	19
6	6412	19
0	1	1

Stop Event

1×	saturated
1×	node limit

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)

simplify91.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1856×	`rational.json-simplify-35`
1706×	`rational.json-simplify-51`
1346×	`rational.json-simplify-53`
1012×	`rational.json-simplify-39`
862×	`rational.json-simplify-59`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	13	19
2	26	19
3	68	19
4	286	19
5	2282	19
6	6412	19

Stop Event

1×	node limit

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

14.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.7b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.7b	(/.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))

rewrite71.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`rational.json-1`
1506×	`rational.json-2`
1506×	`rational.json-4`
1506×	`rational.json-3`
1488×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	59	19
2	166	19
3	432	19
4	1615	19
5	5241	19

Stop Event

1×	node limit

Counts

1 → 28

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

simplify108.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1184×	`rational.json-simplify-35`
1104×	`rational.json-simplify-41`
1098×	`rational.json-simplify-2`
888×	`rational.json-simplify-38`
826×	`rational.json-simplify-61`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	81	904
1	165	896
2	326	896
3	647	894
4	2150	894
5	6680	892

Stop Event

1×	node limit

Counts

40 → 51

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

eval11.0ms (0.3%)

Compiler: Compiled 577 to 372 computations (35.5% saved)

prune75.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	5	52

Error

Counts

52 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.7b	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	30.9b	(/.f64 1 x)
▶	32.4b	(+.f64 x (neg.f64 (pow.f64 x 3)))
▶	14.8b	(.f64 (/.f64 -1 (-.f64 -1 (.f64 x x))) x)
	31.4b	x

Compiler

Compiled 31 to 21 computations (32.3% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 -1 (-.f64 -1 (*.f64 x x)))
✓	14.4b	(.f64 (/.f64 -1 (-.f64 -1 (.f64 x x))) 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 -1 (*.f64 x x)))
0.0ms	x	@	0	(/.f64 -1 (-.f64 -1 (*.f64 x x)))
0.0ms	x	@	0	(.f64 (/.f64 -1 (-.f64 -1 (.f64 x x))) x)
0.0ms	x	@	-inf	(/.f64 -1 (-.f64 -1 (*.f64 x x)))
0.0ms	x	@	inf	(.f64 (/.f64 -1 (-.f64 -1 (.f64 x x))) x)

rewrite69.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1324×	`rational.json-1`
1324×	`rational.json-2`
1324×	`rational.json-4`
1324×	`rational.json-3`
1314×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	44
1	63	38
2	172	38
3	426	38
4	1490	38
5	4716	38

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

Outputs

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

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

simplify86.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1840×	`rational.json-simplify-35`
1274×	`rational.json-simplify-2`
1084×	`rational.json-simplify-53`
716×	`rational.json-simplify-41`
584×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	2559
1	411	2543
2	976	1859
3	2751	1845
4	5786	1845

Stop Event

1×	node limit

Counts

81 → 100

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

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 (*.f64 -1 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (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 (.f64 -1 (pow.f64 x 7)) (+.f64 x (pow.f64 x 5))))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (+.f64 (pow.f64 x 5) (neg.f64 (pow.f64 x 7)))))
(+.f64 x (+.f64 (+.f64 (pow.f64 x 5) (neg.f64 (pow.f64 x 7))) (neg.f64 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 x 7))) (pow.f64 x 5)))
(/.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 1 x) (-.f64 (/.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 1 x) (-.f64 (/.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 (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 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 (+.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)) (.f64 -1 (pow.f64 x 6))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (+.f64 1 (pow.f64 x 4)) (neg.f64 (pow.f64 x 6))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (pow.f64 x 4) (neg.f64 (pow.f64 x 6)))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (pow.f64 x 4) (-.f64 1 (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 1 (pow.f64 x 6)) (-.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 4))) (/.f64 1 (pow.f64 x 6)))
(-.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 1 (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (pow.f64 x 6)) (-.f64 (/.f64 1 (pow.f64 x 2)) (+.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 1 (pow.f64 x 6)) (-.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 4))) (/.f64 1 (pow.f64 x 6)))
(-.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 1 (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (pow.f64 x 6)) (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 0)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 0 (/.f64 x (+.f64 (*.f64 x x) 1)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(+.f64 (/.f64 x (+.f64 2 (.f64 x (+.f64 x x)))) (/.f64 x (+.f64 2 (.f64 x (+.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 (*.f64 x x) 1)) 0)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(-.f64 0 (/.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 -1 (/.f64 (-.f64 -1 (*.f64 x x)) x))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (*.f64 x x) 1) x)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (+.f64 (*.f64 x x) 1))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 1)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 -2 (/.f64 (.f64 (-.f64 -1 (.f64 x x)) 2) x))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (/.f64 (-.f64 -1 (.f64 x x)) x) (/.f64 (-.f64 -1 (.f64 x x)) x)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 2 (.f64 2 (/.f64 (+.f64 (.f64 x x) 1) x)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 2 (/.f64 (+.f64 2 (*.f64 x (+.f64 x x))) x))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 x x) 1) x)) 2)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 -4 (+.f64 (/.f64 (.f64 (-.f64 -1 (.f64 x x)) 2) x) (/.f64 (.f64 (-.f64 -1 (.f64 x x)) 2) x)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (+.f64 x x))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 4 (/.f64 (.f64 (-.f64 -1 (.f64 x x)) 4) (neg.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 4 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 x x) 1) x)) (.f64 2 (/.f64 (+.f64 (.f64 x x) 1) x))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 4 (+.f64 (/.f64 (+.f64 2 (.f64 x (+.f64 x x))) x) (/.f64 (+.f64 2 (.f64 x (+.f64 x x))) x)))
(+.f64 -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)) 4) 4)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (.f64 x 4) (.f64 (+.f64 (*.f64 x x) 1) 4))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (neg.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 8 (+.f64 (/.f64 (.f64 (-.f64 -1 (.f64 x x)) 4) (neg.f64 x)) (/.f64 (.f64 (-.f64 -1 (.f64 x x)) 4) (neg.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 4)) 8)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (.f64 2 (neg.f64 x)) (.f64 (-.f64 -1 (*.f64 x x)) 2))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 (+.f64 (*.f64 x x) 1) 4)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (.f64 x 4) (+.f64 (.f64 x x) 1)) 4)
(+.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))) -1)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (/.f64 x (+.f64 2 (*.f64 x (+.f64 x x)))) 1/2)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 x x)) (.f64 (-.f64 -1 (.f64 x x)) 2))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 4)) (.f64 2 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 4))) 16)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (+.f64 (.f64 2 (neg.f64 x)) (.f64 2 (neg.f64 x))) (.f64 (-.f64 -1 (.f64 x x)) 4))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (+.f64 (/.f64 (.f64 x 4) (+.f64 (.f64 x x) 1)) (/.f64 (.f64 x 4) (+.f64 (.f64 x x) 1))) 8)
(+.f64 -1 (-.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))) (/.f64 x (-.f64 -1 (.f64 x x)))) -2)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (+.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (.f64 (-.f64 -1 (.f64 x x)) 4))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 (+.f64 (*.f64 x x) 1) 4)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 (.f64 2 (neg.f64 x))) (+.f64 2 (.f64 x (+.f64 x x))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (+.f64 2 (*.f64 x (+.f64 x x))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 1)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (*.f64 x x)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(neg.f64 (/.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 -1 (-.f64 1 (/.f64 -1 (+.f64 (*.f64 x x) 1))))
(+.f64 -1 (-.f64 1 (/.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 -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 -1 (+.f64 1 (*.f64 x x)))))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 -1 (.f64 (-.f64 -1 (.f64 x x)) 2)) (/.f64 -1 (.f64 (-.f64 -1 (.f64 x x)) 2)))
(+.f64 -1 (-.f64 1 (/.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 -1 (+.f64 1 (*.f64 x x)))))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(-.f64 0 (/.f64 -1 (+.f64 (*.f64 x x) 1)))
(+.f64 -1 (-.f64 1 (/.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 -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 -1 (+.f64 1 (*.f64 x x)))))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(.f64 2 (/.f64 (/.f64 -1 (-.f64 -1 (.f64 x x))) 2))
(+.f64 -1 (-.f64 1 (/.f64 -1 (+.f64 1 (*.f64 x x)))))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(.f64 (.f64 (/.f64 -1 (-.f64 -1 (*.f64 x x))) 2) 1/2)
(+.f64 -1 (-.f64 1 (/.f64 -1 (+.f64 1 (*.f64 x x)))))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(.f64 1/2 (.f64 (/.f64 -1 (-.f64 -1 (*.f64 x x))) 2))
(+.f64 -1 (-.f64 1 (/.f64 -1 (+.f64 1 (*.f64 x x)))))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(.f64 (/.f64 -1 (+.f64 (.f64 x x) 1)) -1)
(+.f64 -1 (-.f64 1 (/.f64 -1 (+.f64 1 (*.f64 x x)))))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(.f64 (/.f64 (/.f64 -1 (-.f64 -1 (.f64 x x))) 2) 2)
(+.f64 -1 (-.f64 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 -1 (+.f64 1 (*.f64 x x)))))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(neg.f64 (/.f64 -1 (+.f64 (*.f64 x x) 1)))
(+.f64 -1 (-.f64 1 (/.f64 -1 (+.f64 1 (*.f64 x x)))))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))

localize53.0ms (1.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (neg.f64 (pow.f64 x 3)))

Compiler

Compiled 16 to 11 computations (31.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+.f64 x (neg.f64 (pow.f64 x 3)))
0.0ms	x	@	inf	(+.f64 x (neg.f64 (pow.f64 x 3)))
0.0ms	x	@	0	(+.f64 x (neg.f64 (pow.f64 x 3)))

rewrite211.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2430×	`rational.json-simplify-2`
1766×	`rational.json-simplify-35`
1304×	`exponential.json-3`
1304×	`rational.json-1`
1304×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	55	17
2	126	17
3	257	17
4	513	17
5	1223	17
6	2801	17
7	4328	17
8	5355	17
9	6436	17
10	7251	17
11	7464	17
12	7691	17

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(+.f64 x (neg.f64 (pow.f64 x 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (-.f64 1 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1)))))

simplify481.0ms (14.7%)

Algorithm

1×	egg-herbie

Rules

2842×	`rational.json-simplify-48`
2812×	`rational.json-simplify-1`
1862×	`rational.json-simplify-35`
1350×	`rational.json-simplify-49`
1222×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	618
1	143	618
2	453	618
3	1220	618
4	1953	618
5	3211	618
6	3297	618
7	3407	618
8	3496	618
9	3583	618
10	3646	618
11	4375	618
12	4473	618
13	4706	618
14	5237	618
15	5339	618
16	5376	618
17	5413	618
18	5450	618
19	6357	618
20	7109	618
21	7481	618
22	7612	618
23	7713	618

Stop Event

1×	node limit

Counts

38 → 31

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 0)
(-.f64 (+.f64 x (-.f64 1 (pow.f64 x 3))) 1)
(*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1)
(*.f64 1 (+.f64 x (neg.f64 (pow.f64 x 3))))
(.f64 2 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1/2))
(.f64 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 2) 1/2)
(.f64 4 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1/4))
(.f64 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 4) 1/4)
(.f64 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8) 1/8)
(.f64 1/2 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 2))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) -2)))
(.f64 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 4))
(.f64 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1/4) 4)
(.f64 1/8 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8))
(.f64 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) -2)) 1/2)
(/.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1)
(/.f64 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 2) 2)
(/.f64 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 4) 4)
(/.f64 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8)))))) 256)
(pow.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1)

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(-.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 0)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(-.f64 (+.f64 x (-.f64 1 (pow.f64 x 3))) 1)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(*.f64 1 (+.f64 x (neg.f64 (pow.f64 x 3))))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(.f64 2 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1/2))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 2) 1/2)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(.f64 4 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1/4))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 4) 1/4)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8) 1/8)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(.f64 1/2 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 2))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) -2)))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1/2) 2)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(.f64 1/4 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 4))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1/4) 4)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(.f64 1/8 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(.f64 (+.f64 (+.f64 x x) (.f64 (pow.f64 x 3) -2)) 1/2)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(/.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(/.f64 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 2) 2)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(/.f64 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 4) 4)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(/.f64 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8) 8)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8)) 16)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8))) 32)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8)))) 64)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8))))) 128)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 8)))))) 256)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(pow.f64 (+.f64 x (neg.f64 (pow.f64 x 3))) 1)
(+.f64 x (neg.f64 (pow.f64 x 3)))

localize3.0ms (0.1%)

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

eval29.0ms (0.9%)

Compiler: Compiled 1616 to 1109 computations (31.4% saved)

prune16.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	131	5	136

Error

Counts

136 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.7b	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	14.8b	(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
✓	30.9b	(/.f64 1 x)
✓	14.8b	(.f64 (/.f64 -1 (-.f64 -1 (.f64 x x))) x)
	31.4b	x

Compiler

Compiled 34 to 23 computations (32.4% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
✓	14.7b	(/.f64 (+.f64 (*.f64 x x) 1) x)

Compiler

Compiled 27 to 13 computations (51.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite378.0ms (11.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`rational.json-1`
1816×	`rational.json-2`
1816×	`rational.json-4`
1816×	`rational.json-3`
1214×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	69	38
2	196	38
3	531	38
4	1966	38
5	6292	38

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify87.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1178×	`rational.json-simplify-41`
1160×	`rational.json-simplify-53`
1122×	`rational.json-simplify-61`
980×	`rational.json-simplify-35`
912×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	1807
1	282	1787
2	609	1787
3	1547	1785
4	5257	1785

Stop Event

1×	node limit

Counts

91 → 96

Calls

Call 1

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

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

eval22.0ms (0.7%)

Compiler: Compiled 1154 to 768 computations (33.4% saved)

prune12.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	1	1
Picked	1	0	1
Done	2	1	3
Total	98	3	101

Error

Counts

101 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 1 (+.f64 (/.f64 1 x) x))
✓	30.9b	(/.f64 1 x)
	31.4b	x

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite79.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`rational.json-1`
1676×	`rational.json-2`
1676×	`rational.json-4`
1676×	`rational.json-3`
956×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	60	19
2	158	19
3	341	19
4	762	19
5	2326	19
6	6493	19

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify74.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1436×	`rational.json-simplify-53`
1420×	`rational.json-simplify-35`
896×	`rational.json-simplify-1`
876×	`rational.json-simplify-39`
676×	`rational.json-simplify-19`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	71	934
1	139	926
2	258	926
3	567	924
4	1982	924
5	5154	922

Stop Event

1×	node limit

Counts

34 → 47

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

eval75.0ms (2.3%)

Compiler: Compiled 590 to 438 computations (25.8% saved)

prune6.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	47	3	50

Error

Counts

50 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 1 (+.f64 (/.f64 1 x) x))
✓	30.9b	(/.f64 1 x)
	31.4b	x

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes11.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
5.0ms	x

Results

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

Compiler

Compiled 53 to 32 computations (39.6% saved)

regimes10.0ms (0.3%)

Accuracy

Total -60.9b remaining (-8270.2%)

Threshold costs -60.9b (-8270.2%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

bsearch25.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1.0689930560069171e-7	27.434380967864094
12.0ms	-62.41347299000895	-0.001144453717381607

Results

22.0ms

272×

body

256

valid

Compiler

Compiled 148 to 110 computations (25.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	53

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

soundness0.0ms (0%)

end55.0ms (1.7%)

Compiler: Compiled 24 to 16 computations (33.3% saved)

Details

analyze3.0ms (0.1%)

sample1.0s (30.7%)

preprocess91.0ms (2.8%)

simplify91.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite71.0ms (2.2%)

simplify108.0ms (3.3%)

eval11.0ms (0.3%)

prune75.0ms (2.3%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite69.0ms (2.1%)

simplify86.0ms (2.6%)

localize53.0ms (1.6%)

series1.0ms (0%)

rewrite211.0ms (6.4%)

simplify481.0ms (14.7%)

localize3.0ms (0.1%)

eval29.0ms (0.9%)

prune16.0ms (0.5%)

localize8.0ms (0.3%)

series1.0ms (0%)

rewrite378.0ms (11.5%)

simplify87.0ms (2.7%)

eval22.0ms (0.7%)

prune12.0ms (0.4%)

localize7.0ms (0.2%)

series0.0ms (0%)

rewrite79.0ms (2.4%)

simplify74.0ms (2.3%)

eval75.0ms (2.3%)

prune6.0ms (0.2%)

regimes11.0ms (0.3%)

regimes10.0ms (0.3%)

bsearch25.0ms (0.8%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end55.0ms (1.7%)

Profiling