Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.2s (48.8%)

Results

1.2s

8256×

body

256

valid

Bogosity

preprocess98.0ms (4%)

Algorithm

2×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1376×	`rational.json-simplify-53`
1032×	`rational.json-simplify-39`
840×	`rational.json-simplify-59`
552×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	12	19
2	18	19
3	37	19
4	189	19
5	1978	19
6	6169	19
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

simplify92.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1376×	`rational.json-simplify-53`
1032×	`rational.json-simplify-39`
840×	`rational.json-simplify-59`
552×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	12	19
2	18	19
3	37	19
4	189	19
5	1978	19
6	6169	19

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 17 to 6 computations (64.7% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
▶	0.0b	(.f64 x (+.f64 x (.f64 x x)))

Compiler

Compiled 18 to 8 computations (55.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 4 computations (76.5% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite68.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1936×	`rational.json-simplify-35`
1364×	`rational.json-1`
1364×	`rational.json-2`
1364×	`rational.json-4`
1364×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	42	19
2	107	19
3	281	19
4	1105	19
5	4425	19

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(.f64 x (+.f64 x (.f64 x x)))

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

Outputs

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

simplify75.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1064×	`rational.json-simplify-41`
802×	`rational.json-simplify-2`
760×	`rational.json-simplify-59`
652×	`rational.json-simplify-61`
552×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	784
1	175	688
2	534	496
3	2991	496
4	5179	496

Stop Event

1×	node limit

Counts

28 → 22

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	0.1b	(.f64 x (.f64 x x))

Compiler

Compiled 19 to 4 computations (78.9% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite72.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2024×	`rational.json-simplify-35`
1196×	`rational.json-1`
1196×	`rational.json-2`
1196×	`rational.json-4`
1196×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	32
1	44	32
2	118	32
3	304	32
4	1179	32
5	4108	32

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs
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Outputs

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

simplify109.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1284×	`rational.json-simplify-61`
1150×	`rational.json-simplify-35`
978×	`rational.json-simplify-44`
912×	`rational.json-simplify-49`
834×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	1463
1	452	1463
2	1348	1463
3	6783	1463

Stop Event

1×	node limit

Counts

95 → 76

Calls

Call 1

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

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

eval17.0ms (0.7%)

Compiler: Compiled 1617 to 583 computations (63.9% saved)

prune57.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	3	100

Error

Counts

100 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
▶	0.0b	(.f64 (+.f64 x 1) (.f64 x x))
✓	0.0b	(.f64 x (+.f64 x (.f64 x x)))

Compiler

Compiled 26 to 13 computations (50% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 8 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2020×	`rational.json-simplify-35`
1150×	`rational.json-1`
1150×	`rational.json-2`
1150×	`rational.json-4`
1150×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	59	19
2	149	19
3	332	19
4	1204	19
5	4007	19

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify60.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1310×	`rational.json-simplify-2`
1246×	`rational.json-simplify-54`
926×	`rational.json-simplify-61`
898×	`rational.json-simplify-35`
820×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1302
1	286	1302
2	898	762
3	4587	762

Stop Event

1×	node limit

Counts

42 → 36

Calls

Call 1

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

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

eval7.0ms (0.3%)

Compiler: Compiled 717 to 299 computations (58.3% saved)

prune5.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	36	3	39

Error

Counts

39 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (+.f64 x 1) (.f64 x x))
✓	0.0b	(.f64 x (+.f64 x (.f64 x x)))
▶	0.0b	(.f64 x (.f64 x (+.f64 x 1)))

Compiler

Compiled 24 to 14 computations (41.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (.f64 x (+.f64 x 1)))
✓	0.0b	(*.f64 x (+.f64 x 1))

Compiler

Compiled 18 to 11 computations (38.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite171.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1824×	`rational.json-1`
1824×	`rational.json-2`
1256×	`rational.json-simplify-35`
994×	`exponential.json-3`
994×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	57	32
2	133	32
3	256	32
4	481	32
5	1125	32
6	3379	32
7	7543	32

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1140×	`rational.json-simplify-49`
1128×	`rational.json-simplify-35`
1024×	`rational.json-simplify-61`
1014×	`rational.json-simplify-44`
942×	`rational.json-simplify-38`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	993
1	386	993
2	1253	993
3	6163	993

Stop Event

1×	node limit

Counts

63 → 48

Calls

Call 1

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

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

eval10.0ms (0.4%)

Compiler: Compiled 598 to 355 computations (40.6% saved)

prune6.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	47	4	51

Error

Counts

51 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (+.f64 x 1) (.f64 x x))
✓	0.0b	(.f64 x (+.f64 x (.f64 x x)))
✓	0.0b	(.f64 x (.f64 x (+.f64 x 1)))
▶	1.2b	(*.f64 x x)

Compiler

Compiled 28 to 16 computations (42.9% saved)

localize2.0ms (0.1%)

Compiler: Compiled 5 to 2 computations (60% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (+.f64 x 1) (.f64 x x))
✓	0.0b	(.f64 x (+.f64 x (.f64 x x)))
✓	0.0b	(.f64 x (.f64 x (+.f64 x 1)))
✓	1.2b	(*.f64 x x)

Compiler

Compiled 28 to 16 computations (42.9% saved)

regimes57.0ms (2.3%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(.f64 x (+.f64 x (.f64 x x)))

Calls

2 calls:

3.0ms	x
2.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

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

Compiler

Compiled 46 to 18 computations (60.9% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.2b remaining (-6093.1%)

Threshold costs -1.2b (-6093.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Error	Segments	Branch
0.0b	1	`x`

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 20 to 11 computations (45% saved)

soundness157.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1376×	`rational.json-simplify-53`
1032×	`rational.json-simplify-39`
840×	`rational.json-simplify-59`
552×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	12	19
2	18	19
3	37	19
4	189	19
5	1978	19
6	6169	19

Stop Event

1×	node limit

Compiler

Compiled 17 to 6 computations (64.7% saved)

end17.0ms (0.7%)

Compiler: Compiled 18 to 8 computations (55.6% saved)

Details

analyze0.0ms (0%)

sample1.2s (48.8%)

preprocess98.0ms (4%)

simplify92.0ms (3.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series1.0ms (0.1%)

rewrite68.0ms (2.8%)

simplify75.0ms (3%)

localize6.0ms (0.2%)

series1.0ms (0.1%)

rewrite72.0ms (2.9%)

simplify109.0ms (4.4%)

eval17.0ms (0.7%)

prune57.0ms (2.3%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite65.0ms (2.7%)

simplify60.0ms (2.5%)

eval7.0ms (0.3%)

prune5.0ms (0.2%)

localize7.0ms (0.3%)

series1.0ms (0%)

rewrite171.0ms (6.9%)

simplify76.0ms (3.1%)

eval10.0ms (0.4%)

prune6.0ms (0.3%)

localize2.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes57.0ms (2.3%)

regimes4.0ms (0.1%)

simplify2.0ms (0.1%)

soundness157.0ms (6.4%)

end17.0ms (0.7%)

Profiling