Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
57.1%	50%	37.5%	0%	12.5%	0%	0%	4
76.9%	62.5%	18.7%	0%	18.7%	0%	0%	5
88%	68.7%	9.4%	0%	21.9%	0%	0%	6
93.9%	71.8%	4.7%	0%	23.4%	0%	0%	7
96.9%	73.4%	2.3%	0%	24.2%	0%	0%	8
98.4%	74.2%	1.2%	0%	24.6%	0%	0%	9
99.2%	74.6%	0.6%	0%	24.8%	0%	0%	10
99.6%	74.8%	0.3%	0%	24.9%	0%	0%	11
99.8%	74.9%	0.1%	0%	24.9%	0%	0%	12

Compiler

Compiled 7 to 4 computations (42.9% saved)

sample552.0ms (33.7%)

Results

541.0ms	8256×	body	256	valid
1.0ms	8×	body	256	infinite

Bogosity

preprocess137.0ms (8.4%)

Algorithm

2×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1348×	`rational.json-simplify-53`
1012×	`rational.json-simplify-39`
866×	`rational.json-simplify-59`
666×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	8	13
2	12	13
3	30	13
4	180	13
5	1962	13
6	5942	13
7	7815	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify130.0ms (8%)

Algorithm

1×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1348×	`rational.json-simplify-53`
1012×	`rational.json-simplify-39`
866×	`rational.json-simplify-59`
666×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	8	13
2	12	13
3	30	13
4	180	13
5	1962	13
6	5942	13
7	7815	13

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 6 to 3 computations (50% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 3 computations (50% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 3 computations (70% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 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))

rewrite61.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`rational.json-simplify-2`
1322×	`rational.json-1`
1322×	`rational.json-2`
1322×	`rational.json-4`
1322×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	35	13
2	96	13
3	258	13
4	1063	13
5	4300	13

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

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

Outputs

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

simplify81.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

934×	`rational.json-simplify-2`
720×	`rational.json-simplify-53`
720×	`rational.json-simplify-39`
632×	`rational.json-simplify-44`
606×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	483
1	206	483
2	628	483
3	3844	483
4	6670	483

Stop Event

1×	node limit

Counts

39 → 32

Calls

Call 1

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

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

eval5.0ms (0.3%)

Compiler: Compiled 427 to 191 computations (55.3% saved)

prune5.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Error

Counts

33 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (*.f64 x x))
▶	0.0b	(*.f64 (+.f64 x 1) x)
	19.2b	x

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite208.0ms (12.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

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

Outputs

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

simplify401.0ms (24.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

26 → 19

Calls

Call 1

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

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

eval5.0ms (0.3%)

Compiler: Compiled 156 to 117 computations (25% saved)

prune3.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	19	3	22

Error

Counts

22 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (*.f64 x x))
✓	0.0b	(*.f64 (+.f64 x 1) x)
	19.2b	x

Compiler

Compiled 14 to 8 computations (42.9% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (*.f64 x x))
✓	0.0b	(*.f64 (+.f64 x 1) x)
	19.2b	x

Compiler

Compiled 14 to 8 computations (42.9% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (*.f64 x x))
✓	0.0b	(*.f64 (+.f64 x 1) x)
	19.2b	x

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes8.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 20 to 10 computations (50% saved)

regimes4.0ms (0.2%)

Accuracy

Total -19.2b remaining (-163734.4%)

Threshold costs -19.2b (-163734.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.0b	1	`x`

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

soundness0.0ms (0%)

end17.0ms (1.1%)

Compiler: Compiled 12 to 6 computations (50% saved)

Details

analyze3.0ms (0.2%)

sample552.0ms (33.7%)

preprocess137.0ms (8.4%)

simplify130.0ms (8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite61.0ms (3.7%)

simplify81.0ms (4.9%)

eval5.0ms (0.3%)

prune5.0ms (0.3%)

localize4.0ms (0.3%)

series1.0ms (0.1%)

rewrite208.0ms (12.7%)

simplify401.0ms (24.5%)

eval5.0ms (0.3%)

prune3.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes8.0ms (0.5%)

regimes4.0ms (0.2%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end17.0ms (1.1%)

Profiling