Details

analyze66.0ms (1.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
50.8%	50%	48.4%	0.1%	1.6%	0%	0%	7
60.8%	59.3%	38.2%	0.1%	2.3%	0%	0%	8
70.8%	67.1%	27.7%	0.1%	5.1%	0%	0%	9
77.3%	72.6%	21.3%	0.1%	6%	0%	0%	10
83.9%	76.9%	14.7%	0.1%	8.3%	0%	0%	11
87.7%	79.8%	11.2%	0.1%	8.9%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample802.0ms (23.6%)

Results

758.0ms	8255×	body	256	valid
32.0ms	332×	body	256	infinite
0.0ms	1×	body	1024	valid

Bogosity

preprocess20.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-x-y`
2×	`rational.json-simplify-2`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	11	38
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify18.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-2`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	9	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% 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 y) (*.f64 x y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite87.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1588×	`rational.json-5`
1586×	`exponential.json-3`
1586×	`rational.json-1`
1586×	`rational.json-2`
1586×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	60	19
2	208	19
3	776	19
4	3051	19

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify167.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1442×	`rational.json-simplify-47`
1212×	`rational.json-simplify-49`
1002×	`rational.json-simplify-2`
872×	`rational.json-simplify-50`
764×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	773
1	96	773
2	256	757
3	1392	757
4	5523	757

Stop Event

1×	node limit

Counts

43 → 37

Calls

Call 1

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

Outputs
y
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
x
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(.f64 y (+.f64 1 (.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 (-.f64 x (*.f64 y (+.f64 x -1))) 0)
(-.f64 x (*.f64 y (+.f64 x -1)))
(+.f64 0 (-.f64 x (*.f64 y (+.f64 x -1))))
(-.f64 x (*.f64 y (+.f64 x -1)))
(+.f64 1 (-.f64 x (-.f64 (*.f64 y (+.f64 x -1)) -1)))
(-.f64 x (*.f64 y (+.f64 x -1)))
(+.f64 (-.f64 x (-.f64 (*.f64 y (+.f64 x -1)) -1)) 1)
(-.f64 x (*.f64 y (+.f64 x -1)))
(.f64 (-.f64 x (.f64 y (+.f64 x -1))) 1)
(-.f64 x (*.f64 y (+.f64 x -1)))
(.f64 (-.f64 x (.f64 y (+.f64 x -1))) (/.f64 (-.f64 x (.f64 y (+.f64 x -1))) (-.f64 x (.f64 y (+.f64 x -1)))))
(-.f64 x (*.f64 y (+.f64 x -1)))
(.f64 1 (-.f64 x (.f64 y (+.f64 x -1))))
(-.f64 x (*.f64 y (+.f64 x -1)))
(.f64 (/.f64 (-.f64 x (.f64 y (+.f64 x -1))) (-.f64 x (.f64 y (+.f64 x -1)))) (-.f64 x (.f64 y (+.f64 x -1))))
(-.f64 x (*.f64 y (+.f64 x -1)))
(.f64 (-.f64 (.f64 x y) (+.f64 x y)) -1)
(neg.f64 (-.f64 (*.f64 y x) (+.f64 y x)))
(neg.f64 (-.f64 (-.f64 (*.f64 y x) y) x))
(-.f64 y (-.f64 (*.f64 y x) x))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 (.f64 (-.f64 x (.f64 y (+.f64 x -1))) (-.f64 x (.f64 y (+.f64 x -1)))) (/.f64 1 (-.f64 x (*.f64 y (+.f64 x -1)))))
(-.f64 x (*.f64 y (+.f64 x -1)))
(.f64 (/.f64 1 (-.f64 x (.f64 y (+.f64 x -1)))) (.f64 (-.f64 x (.f64 y (+.f64 x -1))) (-.f64 x (*.f64 y (+.f64 x -1)))))
(-.f64 x (*.f64 y (+.f64 x -1)))
(.f64 (.f64 (.f64 (-.f64 x (.f64 y (+.f64 x -1))) (-.f64 x (.f64 y (+.f64 x -1)))) (.f64 (-.f64 x (.f64 y (+.f64 x -1))) (-.f64 x (.f64 y (+.f64 x -1))))) (/.f64 (/.f64 1 (-.f64 x (.f64 y (+.f64 x -1)))) (.f64 (-.f64 x (.f64 y (+.f64 x -1))) (-.f64 x (.f64 y (+.f64 x -1))))))
(-.f64 x (*.f64 y (+.f64 x -1)))
(.f64 -1 (-.f64 (.f64 x y) (+.f64 x y)))
(neg.f64 (-.f64 (*.f64 y x) (+.f64 y x)))
(neg.f64 (-.f64 (-.f64 (*.f64 y x) y) x))
(-.f64 y (-.f64 (*.f64 y x) x))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 (/.f64 (/.f64 1 (-.f64 x (.f64 y (+.f64 x -1)))) (.f64 (-.f64 x (.f64 y (+.f64 x -1))) (-.f64 x (.f64 y (+.f64 x -1))))) (.f64 (.f64 (-.f64 x (.f64 y (+.f64 x -1))) (-.f64 x (.f64 y (+.f64 x -1)))) (.f64 (-.f64 x (.f64 y (+.f64 x -1))) (-.f64 x (.f64 y (+.f64 x -1))))))
(-.f64 x (*.f64 y (+.f64 x -1)))
(/.f64 (-.f64 x (*.f64 y (+.f64 x -1))) 1)
(-.f64 x (*.f64 y (+.f64 x -1)))
(/.f64 (-.f64 x (.f64 y (+.f64 x -1))) (/.f64 (-.f64 x (.f64 y (+.f64 x -1))) (-.f64 x (*.f64 y (+.f64 x -1)))))
(-.f64 x (*.f64 y (+.f64 x -1)))
(/.f64 (-.f64 (*.f64 x y) (+.f64 x y)) -1)
(neg.f64 (-.f64 (*.f64 y x) (+.f64 y x)))
(neg.f64 (-.f64 (-.f64 (*.f64 y x) y) x))
(-.f64 y (-.f64 (*.f64 y x) x))
(-.f64 (+.f64 y x) (*.f64 y x))
(pow.f64 (-.f64 x (*.f64 y (+.f64 x -1))) 1)
(-.f64 x (*.f64 y (+.f64 x -1)))
(neg.f64 (-.f64 (*.f64 x y) (+.f64 x y)))
(neg.f64 (-.f64 (*.f64 y x) (+.f64 y x)))
(neg.f64 (-.f64 (-.f64 (*.f64 y x) y) x))
(-.f64 y (-.f64 (*.f64 y x) x))
(-.f64 (+.f64 y x) (*.f64 y x))

eval9.0ms (0.3%)

Compiler: Compiled 460 to 271 computations (41.1% saved)

prune10.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Error

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
▶	25.8b	(*.f64 (-.f64 1 y) x)
▶	27.0b	(*.f64 y (-.f64 1 x))
	37.3b	y
	35.8b	x

Compiler

Compiled 29 to 19 computations (34.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 y (-.f64 1 x))
1.0ms	y	@	inf	(*.f64 y (-.f64 1 x))
0.0ms	y	@	-inf	(*.f64 y (-.f64 1 x))
0.0ms	x	@	inf	(*.f64 y (-.f64 1 x))
0.0ms	x	@	0	(*.f64 y (-.f64 1 x))

rewrite107.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1390×	`rational.json-5`
1388×	`exponential.json-3`
1388×	`rational.json-1`
1388×	`rational.json-2`
1388×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	59	13
2	189	13
3	690	13
4	2679	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

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

Outputs

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

simplify232.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

940×	`rational.json-simplify-111`
766×	`rational.json-simplify-104`
750×	`rational.json-simplify-2`
604×	`rational.json-simplify-79`
578×	`rational.json-simplify-73`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	315
1	54	293
2	129	293
3	367	293
4	1416	293
5	3678	293
6	5653	293
7	7513	293

Stop Event

1×	node limit

Counts

21 → 17

Calls

Call 1

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

Outputs
y
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 y (.f64 x -1)))
(+.f64 y (*.f64 y (neg.f64 x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 y (.f64 x -1)))
(+.f64 y (*.f64 y (neg.f64 x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 y (.f64 x -1)))
(+.f64 y (*.f64 y (neg.f64 x)))
(.f64 -1 (.f64 y x))
(.f64 y (.f64 x -1))
(*.f64 y (neg.f64 x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 y (.f64 x -1)))
(+.f64 y (*.f64 y (neg.f64 x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 y (.f64 x -1)))
(+.f64 y (*.f64 y (neg.f64 x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 y (.f64 x -1)))
(+.f64 y (*.f64 y (neg.f64 x)))
(.f64 -1 (.f64 y x))
(.f64 y (.f64 x -1))
(*.f64 y (neg.f64 x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 y (.f64 x -1)))
(+.f64 y (*.f64 y (neg.f64 x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 y (.f64 x -1)))
(+.f64 y (*.f64 y (neg.f64 x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 y (.f64 x -1)))
(+.f64 y (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 y (-.f64 1 x)) 0)
(*.f64 y (-.f64 1 x))
(+.f64 0 (*.f64 y (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 (*.f64 y (-.f64 1 x)) 0)
(*.f64 y (-.f64 1 x))
(-.f64 0 (neg.f64 (*.f64 y (-.f64 1 x))))
(*.f64 y (-.f64 1 x))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 y (-.f64 1 x)))) 1)
(*.f64 y (-.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 x)) 1)
(*.f64 y (-.f64 1 x))
(/.f64 (.f64 y (-.f64 1 x)) (/.f64 (.f64 y (-.f64 1 x)) (*.f64 y (-.f64 1 x))))
(*.f64 y (-.f64 1 x))
(pow.f64 (*.f64 y (-.f64 1 x)) 1)
(*.f64 y (-.f64 1 x))
(neg.f64 (neg.f64 (*.f64 y (-.f64 1 x))))
(*.f64 y (-.f64 1 x))

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(*.f64 (-.f64 1 y) x)
0.0ms	x	@	inf	(*.f64 (-.f64 1 y) x)
0.0ms	x	@	-inf	(*.f64 (-.f64 1 y) x)
0.0ms	x	@	0	(*.f64 (-.f64 1 y) x)
0.0ms	y	@	0	(*.f64 (-.f64 1 y) x)

rewrite171.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

1390×	`rational.json-5`
1388×	`exponential.json-3`
1388×	`rational.json-1`
1388×	`rational.json-2`
1388×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	59	13
2	189	13
3	690	13
4	2678	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify235.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

938×	`rational.json-simplify-111`
756×	`rational.json-simplify-104`
752×	`rational.json-simplify-2`
598×	`rational.json-simplify-79`
578×	`rational.json-simplify-73`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	315
1	54	293
2	129	293
3	367	293
4	1419	293
5	3677	293
6	5651	293
7	7489	293

Stop Event

1×	node limit

Counts

21 → 20

Calls

Call 1

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

Outputs
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y x))
(.f64 y (.f64 x -1))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y x))
(.f64 y (.f64 x -1))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 (-.f64 1 y) x) 0)
(*.f64 x (-.f64 1 y))
(+.f64 0 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(-.f64 (*.f64 (-.f64 1 y) x) 0)
(*.f64 x (-.f64 1 y))
(-.f64 0 (neg.f64 (*.f64 (-.f64 1 y) x)))
(*.f64 x (-.f64 1 y))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (-.f64 1 y) x))) 1)
(*.f64 x (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) 1)
(*.f64 x (-.f64 1 y))
(/.f64 (.f64 (-.f64 1 y) x) (/.f64 (.f64 (-.f64 1 y) x) (*.f64 (-.f64 1 y) x)))
(*.f64 x (-.f64 1 y))
(pow.f64 (*.f64 (-.f64 1 y) x) 1)
(*.f64 x (-.f64 1 y))
(neg.f64 (neg.f64 (*.f64 (-.f64 1 y) x)))
(*.f64 x (-.f64 1 y))

eval6.0ms (0.2%)

Compiler: Compiled 255 to 155 computations (39.2% saved)

prune7.0ms (0.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	35	7	42

Error

Counts

42 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
▶	25.8b	(+.f64 x (*.f64 y (neg.f64 x)))
✓	25.8b	(*.f64 (-.f64 1 y) x)
✓	27.0b	(*.f64 y (-.f64 1 x))
▶	52.4b	(*.f64 y (neg.f64 x))
	37.3b	y
	35.8b	x

Compiler

Compiled 43 to 28 computations (34.9% saved)

localize4.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite94.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`rational.json-1`
1766×	`rational.json-2`
1766×	`rational.json-3`
1762×	`rational.json-5`
1760×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	72	17
2	245	17
3	875	17
4	3527	17

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify177.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

1038×	`rational.json-simplify-2`
822×	`rational.json-simplify-1`
800×	`rational.json-simplify-55`
772×	`rational.json-simplify-76`
704×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	618
1	93	478
2	196	478
3	429	478
4	1302	478
5	3460	478
6	5796	478

Stop Event

1×	node limit

Counts

38 → 24

Calls

Call 1

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

Outputs
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(-.f64 (+.f64 x (*.f64 y (neg.f64 x))) 0)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 x (.f64 (+.f64 1 (neg.f64 y)) 1))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 x (.f64 y (neg.f64 x))) 1)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 x (.f64 y (neg.f64 x))) (/.f64 (.f64 x (-.f64 -1 (neg.f64 y))) (.f64 x (-.f64 -1 (neg.f64 y)))))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 1 (+.f64 x (.f64 y (neg.f64 x))))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (.f64 x (.f64 (+.f64 1 (neg.f64 y)) (+.f64 x (.f64 y (neg.f64 x))))) (/.f64 1 (+.f64 x (*.f64 y (neg.f64 x)))))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (.f64 x (.f64 (+.f64 1 (neg.f64 y)) (+.f64 x (.f64 y (neg.f64 x))))) (.f64 (/.f64 1 (+.f64 x (.f64 y (neg.f64 x)))) 1))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (/.f64 1 (+.f64 x (.f64 y (neg.f64 x)))) (.f64 x (.f64 (+.f64 1 (neg.f64 y)) (+.f64 x (*.f64 y (neg.f64 x))))))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (.f64 (+.f64 x (.f64 y (neg.f64 x))) (.f64 (+.f64 x (.f64 y (neg.f64 x))) (.f64 x (.f64 (+.f64 1 (neg.f64 y)) (+.f64 x (.f64 y (neg.f64 x))))))) (/.f64 (/.f64 1 (+.f64 x (.f64 y (neg.f64 x)))) (.f64 x (.f64 (+.f64 1 (neg.f64 y)) (+.f64 x (.f64 y (neg.f64 x)))))))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(/.f64 (+.f64 x (*.f64 y (neg.f64 x))) 1)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(/.f64 (+.f64 x (.f64 y (neg.f64 x))) (/.f64 (.f64 x (-.f64 -1 (neg.f64 y))) (*.f64 x (-.f64 -1 (neg.f64 y)))))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(pow.f64 (+.f64 x (*.f64 y (neg.f64 x))) 1)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))

eval7.0ms (0.2%)

Compiler: Compiled 272 to 104 computations (61.8% saved)

prune13.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	2	2
Picked	1	0	1
Done	1	3	4
Total	25	6	31

Error

Counts

31 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
▶	25.8b	(-.f64 x (*.f64 y x))
✓	27.0b	(*.f64 y (-.f64 1 x))
✓	52.4b	(*.f64 y (neg.f64 x))
	37.3b	y
	35.8b	x

Compiler

Compiled 35 to 22 computations (37.1% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite94.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`rational.json-5`
1374×	`exponential.json-3`
1374×	`rational.json-1`
1374×	`rational.json-2`
1374×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	51	13
2	182	13
3	674	13
4	2632	13

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(-.f64 x (*.f64 y x))

Outputs

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

simplify210.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1512×	`rational.json-simplify-50`
1226×	`rational.json-simplify-54`
1222×	`rational.json-simplify-43`
1106×	`rational.json-simplify-58`
1004×	`rational.json-simplify-111`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	698
1	114	676
2	341	676
3	2083	676
4	5323	676

Stop Event

1×	node limit

Counts

50 → 36

Calls

Call 1

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

Outputs
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(.f64 -1 (.f64 y x))
(.f64 y (.f64 x -1))
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(.f64 -1 (.f64 y x))
(.f64 y (.f64 x -1))
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 y (.f64 x -1)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 (-.f64 x (*.f64 x y)) 0)
(-.f64 x (*.f64 y x))
(+.f64 0 (-.f64 x (*.f64 x y)))
(-.f64 x (*.f64 y x))
(+.f64 1 (-.f64 x (-.f64 (*.f64 x y) -1)))
(-.f64 x (*.f64 y x))
(+.f64 (-.f64 x (-.f64 (*.f64 x y) -1)) 1)
(-.f64 x (*.f64 y x))
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 (/.f64 x x) y))
(.f64 (-.f64 x (.f64 x y)) 1)
(-.f64 x (*.f64 y x))
(.f64 (-.f64 x (.f64 x y)) (/.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y))))
(-.f64 x (*.f64 y x))
(.f64 1 (-.f64 x (.f64 x y)))
(-.f64 x (*.f64 y x))
(.f64 (/.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y))) (-.f64 x (.f64 x y)))
(-.f64 x (*.f64 y x))
(.f64 (-.f64 (.f64 x y) x) -1)
(-.f64 x (*.f64 y x))
(.f64 (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y))) (/.f64 1 (-.f64 x (*.f64 x y))))
(-.f64 x (*.f64 y x))
(.f64 (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y))) (/.f64 (/.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y))) (-.f64 x (*.f64 x y))))
(-.f64 x (*.f64 y x))
(.f64 (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y))) (/.f64 -1 (-.f64 (*.f64 x y) x)))
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(.f64 (neg.f64 (/.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y)))) (-.f64 -1 (-.f64 x (-.f64 (.f64 x y) -1))))
(-.f64 x (*.f64 y x))
(.f64 (/.f64 1 (-.f64 x (.f64 x y))) (.f64 (-.f64 x (.f64 x y)) (-.f64 x (*.f64 x y))))
(-.f64 x (*.f64 y x))
(.f64 (.f64 (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y))) (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y)))) (/.f64 (/.f64 1 (-.f64 x (.f64 x y))) (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y)))))
(-.f64 x (*.f64 y x))
(.f64 -1 (-.f64 (.f64 x y) x))
(-.f64 x (*.f64 y x))
(.f64 (/.f64 (/.f64 1 (-.f64 x (.f64 x y))) (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y)))) (.f64 (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y))) (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y)))))
(-.f64 x (*.f64 y x))
(.f64 (.f64 (.f64 (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y))) (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y)))) (.f64 (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y))) (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y))))) (/.f64 (/.f64 (/.f64 1 (-.f64 x (.f64 x y))) (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y)))) (.f64 (.f64 (-.f64 x (.f64 x y)) (-.f64 x (.f64 x y))) (.f64 (-.f64 x (.f64 x y)) (-.f64 x (*.f64 x y))))))
(-.f64 x (*.f64 y x))
(/.f64 (-.f64 x (*.f64 x y)) 1)
(-.f64 x (*.f64 y x))
(/.f64 (-.f64 x (.f64 x y)) (/.f64 (-.f64 x (.f64 x y)) (-.f64 x (*.f64 x y))))
(-.f64 x (*.f64 y x))
(/.f64 (-.f64 (*.f64 x y) x) -1)
(-.f64 x (*.f64 y x))
(pow.f64 (-.f64 x (*.f64 x y)) 1)
(-.f64 x (*.f64 y x))
(neg.f64 (-.f64 (*.f64 x y) x))
(-.f64 x (*.f64 y x))

eval6.0ms (0.2%)

Compiler: Compiled 496 to 106 computations (78.6% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	36	6	42

Error

Counts

42 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
✓	25.8b	(-.f64 x (*.f64 y x))
✓	27.0b	(*.f64 y (-.f64 1 x))
✓	52.4b	(*.f64 y (neg.f64 x))
	37.3b	y
	35.8b	x

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes23.0ms (0.7%)

Counts

8 → 1

Calls

Call 1

Inputs
x
y
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 1 x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 y (neg.f64 x)))
(-.f64 (+.f64 x y) (*.f64 x y))

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

Calls

3 calls:

9.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
6.0ms	x
6.0ms	y

Results

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

Compiler

Compiled 51 to 25 computations (51% saved)

regimes122.0ms (3.6%)

Counts

7 → 2

Calls

Call 1

Inputs
x
y
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 1 x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 y (neg.f64 x)))

Outputs
(-.f64 x (*.f64 y x))
(*.f64 y (-.f64 1 x))

Calls

2 calls:

103.0ms	y
17.0ms	x

Results

Error	Segments	Branch
6.7b	2	`x`
7.2b	2	`y`

Compiler

Compiled 35 to 17 computations (51.4% saved)

bsearch5.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
5.0ms	-3.0394737806090728e-151	-2.582410418021009e-151

Results

4.0ms

48×

body

256

valid

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes32.0ms (0.9%)

Counts

5 → 2

Calls

Call 1

Inputs
x
y
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 1 x))
(*.f64 (-.f64 1 y) x)

Outputs
(*.f64 (-.f64 1 y) x)
(*.f64 y (-.f64 1 x))

Calls

2 calls:

18.0ms	y
13.0ms	x

Results

Error	Segments	Branch
6.7b	2	`x`
7.2b	2	`y`

Compiler

Compiled 24 to 14 computations (41.7% saved)

bsearch5.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
5.0ms	-3.0394737806090728e-151	-2.582410418021009e-151

Results

4.0ms

48×

body

256

valid

Compiler

Compiled 62 to 45 computations (27.4% saved)

regimes98.0ms (2.9%)

Counts

4 → 3

Calls

Call 1

Inputs
x
y
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 1 x))

Outputs
(*.f64 y (neg.f64 x))
x
(*.f64 y (-.f64 1 x))

Calls

2 calls:

78.0ms	y
19.0ms	x

Results

Error	Segments	Branch
12.8b	4	`x`
7.5b	3	`y`

Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch150.0ms (4.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
132.0ms	1.6145538490234942e-91	3.738526438598466e-91
18.0ms	-13486.127488129965	-2.5520554301980667e-28

Results

146.0ms

256×

body

256

valid

Compiler

Compiled 195 to 142 computations (27.2% saved)

regimes32.0ms (0.9%)

Counts

3 → 5

Calls

Call 1

Inputs
x
y
(*.f64 y (neg.f64 x))

Outputs
x
(*.f64 y (neg.f64 x))
x
y
(*.f64 y (neg.f64 x))

Calls

2 calls:

18.0ms	x
13.0ms	y

Results

Error	Segments	Branch
13.5b	5	`x`
15.4b	3	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch107.0ms (3.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
74.0ms	2.602303596883438e-7	4194.631257720273
5.0ms	-3.0394737806090728e-151	-2.582410418021009e-151
10.0ms	-1.2685844434340743e+124	-1.8633211196322926e+123
18.0ms	-3.479899000399758e+137	-3.105223979851957e+134

Results

96.0ms	432×	body	256	valid
5.0ms	32×	body	256	infinite

Compiler

Compiled 302 to 219 computations (27.5% saved)

regimes20.0ms (0.6%)

Accuracy

Total -44.5b remaining (-255.1%)

Threshold costs -44.5b (-255.1%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

2 calls:

10.0ms	y
10.0ms	x

Results

Error	Segments	Branch
17.5b	2	`x`
17.6b	2	`y`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch5.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
5.0ms	-3.0394737806090728e-151	-2.582410418021009e-151

Results

4.0ms

48×

body

256

valid

Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	205

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 x -138206631768367/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (-.f64 x (.f64 y x)) (.f64 y (-.f64 1 x)))
(if (<=.f64 x -138206631768367/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (.f64 (-.f64 1 y) x) (.f64 y (-.f64 1 x)))
(if (<=.f64 y -1) (.f64 y (neg.f64 x)) (if (<=.f64 y 1697188975832653/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) x (.f64 y (-.f64 1 x))))
(if (<=.f64 x -10799999999999999394091920235083206301057803731563389060882430071123320901501629718754298818514531654758583231459409010093423724987416576) x (if (<=.f64 x -9599999999999999551161451144096322043608589577977544405395745006727929321813365753126616453417628917803772373404262661619712) (.f64 y (neg.f64 x)) (if (<=.f64 x -138206631768367/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) x (if (<=.f64 x 1) y (.f64 y (neg.f64 x))))))
(if (<=.f64 x -138206631768367/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) x y)
x

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 x -138206631768367/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (-.f64 x (.f64 y x)) (.f64 y (-.f64 1 x)))
(if (<=.f64 x -138206631768367/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (.f64 (-.f64 1 y) x) (.f64 y (-.f64 1 x)))
(if (<=.f64 y -1) (.f64 y (neg.f64 x)) (if (<=.f64 y 1697188975832653/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) x (.f64 y (-.f64 1 x))))
(if (<=.f64 x -10799999999999999394091920235083206301057803731563389060882430071123320901501629718754298818514531654758583231459409010093423724987416576) x (if (<=.f64 x -9599999999999999551161451144096322043608589577977544405395745006727929321813365753126616453417628917803772373404262661619712) (.f64 y (neg.f64 x)) (if (<=.f64 x -138206631768367/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) x (if (<=.f64 x 1) y (.f64 y (neg.f64 x))))))
(if (<=.f64 x -138206631768367/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) x y)
x

Compiler

Compiled 101 to 62 computations (38.6% saved)

soundness0.0ms (0%)

end207.0ms (6.1%)

Remove: (sort x y)
Compiler: Compiled 107 to 58 computations (45.8% saved)

Details

analyze66.0ms (1.9%)

sample802.0ms (23.6%)

preprocess20.0ms (0.6%)

simplify18.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite87.0ms (2.5%)

simplify167.0ms (4.9%)

eval9.0ms (0.3%)

prune10.0ms (0.3%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite107.0ms (3.1%)

simplify232.0ms (6.8%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite171.0ms (5%)

simplify235.0ms (6.9%)

eval6.0ms (0.2%)

prune7.0ms (0.2%)

localize4.0ms (0.1%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite94.0ms (2.8%)

simplify177.0ms (5.2%)

eval7.0ms (0.2%)

prune13.0ms (0.4%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite94.0ms (2.8%)

simplify210.0ms (6.2%)

eval6.0ms (0.2%)

prune8.0ms (0.2%)

regimes23.0ms (0.7%)

regimes122.0ms (3.6%)

bsearch5.0ms (0.2%)

regimes32.0ms (0.9%)

bsearch5.0ms (0.2%)

regimes98.0ms (2.9%)

bsearch150.0ms (4.4%)

regimes32.0ms (0.9%)

bsearch107.0ms (3.1%)

regimes20.0ms (0.6%)

bsearch5.0ms (0.1%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end207.0ms (6.1%)

Profiling