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
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample2.4s (73%)

Results

2.3s	8256×	body	256	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess131.0ms (4.1%)

Algorithm

2×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
998×	`rational.json-simplify-39`
866×	`rational.json-simplify-59`
720×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	9	13
2	15	13
3	33	13
4	181	13
5	1950	13
6	5906	13
7	7803	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify136.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
998×	`rational.json-simplify-39`
866×	`rational.json-simplify-59`
720×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	9	13
2	15	13
3	33	13
4	181	13
5	1950	13
6	5906	13
7	7803	13

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite259.0ms (8%)

Algorithm

1×	batch-egg-rewrite

Rules

1424×	`rational.json-simplify-2`
1324×	`rational.json-1`
1324×	`rational.json-2`
1324×	`rational.json-4`
1324×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	50	13
2	127	13
3	286	13
4	1101	13
5	4327	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

Outputs

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

simplify84.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1196×	`rational.json-simplify-61`
1102×	`rational.json-simplify-2`
1066×	`rational.json-simplify-46`
974×	`rational.json-simplify-57`
646×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	613
1	191	613
2	482	613
3	1562	613
4	6515	613

Stop Event

1×	node limit

Counts

49 → 43

Calls

Call 1

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

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

eval8.0ms (0.3%)

Compiler: Compiled 511 to 262 computations (48.7% saved)

prune5.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Error

Counts

44 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 x x) 1)
▶	23.8b	(.f64 (+.f64 1 (/.f64 1 (.f64 x x))) (*.f64 x x))
	18.7b	1

Compiler

Compiled 20 to 13 computations (35% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (*.f64 x x))
✓	23.1b	(.f64 (+.f64 1 (/.f64 1 (.f64 x x))) (*.f64 x x))

Compiler

Compiled 29 to 14 computations (51.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite106.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`rational.json-simplify-35`
914×	`exponential.json-3`
914×	`rational.json-1`
914×	`rational.json-2`
914×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	44
1	74	44
2	209	44
3	549	26
4	2226	26
5	7831	26

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

Outputs

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

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

simplify71.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1160×	`rational.json-simplify-51`
1146×	`rational.json-simplify-46`
1048×	`rational.json-simplify-49`
960×	`rational.json-simplify-35`
866×	`rational.json-simplify-39`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1221
1	321	1221
2	1144	1161
3	5100	1161

Stop Event

1×	node limit

Counts

81 → 72

Calls

Call 1

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

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

eval16.0ms (0.5%)

Compiler: Compiled 975 to 495 computations (49.2% saved)

prune8.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	72	3	75

Error

Counts

75 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 x x) 1)
✓	23.8b	(.f64 (+.f64 1 (/.f64 1 (.f64 x x))) (*.f64 x x))
	18.7b	1

Compiler

Compiled 20 to 13 computations (35% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

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 (*.f64 x x) 1)
✓	23.8b	(.f64 (+.f64 1 (/.f64 1 (.f64 x x))) (*.f64 x x))
	18.7b	1

Compiler

Compiled 20 to 13 computations (35% saved)

eval0.0ms (0%)

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

prune2.0ms (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 (*.f64 x x) 1)
✓	23.8b	(.f64 (+.f64 1 (/.f64 1 (.f64 x x))) (*.f64 x x))
	18.7b	1

Compiler

Compiled 20 to 13 computations (35% saved)

regimes9.0ms (0.3%)

Accuracy

Total -42.5b remaining (-1088962.6%)

Threshold costs -42.5b (-1088962.6%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(+.f64 (*.f64 x x) 1)

Results

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

soundness0.0ms (0%)

end14.0ms (0.4%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

Details

analyze3.0ms (0.1%)

sample2.4s (73%)

preprocess131.0ms (4.1%)

simplify136.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite259.0ms (8%)

simplify84.0ms (2.6%)

eval8.0ms (0.3%)

prune5.0ms (0.2%)

localize10.0ms (0.3%)

series1.0ms (0%)

rewrite106.0ms (3.3%)

simplify71.0ms (2.2%)

eval16.0ms (0.5%)

prune8.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes9.0ms (0.3%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end14.0ms (0.4%)

Profiling