Metrics for Linear.Projection:inversePerspective from linear-1.19.1.3, C

analyze20.0ms (1.2%)

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
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample968.0ms (56.4%)

Results

949.0ms	8255×	body	256	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess165.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

1018×	`associate-/r*`
786×	`distribute-rgt-in`
742×	`fma-def`
730×	`distribute-lft-in`
664×	`distribute-frac-neg`

Problems

191×	No Errors
65×	`(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	283
1	70	259
2	186	259
3	698	211
4	3367	211
5	6578	211

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (+.f64 (neg.f64 x) y) (.f64 (.f64 (neg.f64 x) 2) y))
(/.f64 (+.f64 x (neg.f64 y)) (.f64 (.f64 x 2) (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (.f64 (.f64 (neg.f64 x) 2) y)))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (.f64 (.f64 x 2) (neg.f64 y))))
(/.f64 (+.f64 y x) (.f64 (.f64 y 2) x))

Outputs
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))
(/.f64 (+.f64 (neg.f64 x) y) (.f64 (.f64 (neg.f64 x) 2) y))
(/.f64 (+.f64 y (neg.f64 x)) (.f64 y (.f64 2 (neg.f64 x))))
(/.f64 (-.f64 y x) (.f64 x (.f64 -2 y)))
(/.f64 (-.f64 y x) (.f64 x (.f64 y -2)))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(/.f64 (+.f64 x (neg.f64 y)) (.f64 (.f64 x 2) (neg.f64 y)))
(/.f64 (-.f64 x y) (.f64 x (.f64 2 (neg.f64 y))))
(/.f64 (-.f64 x y) (.f64 x (.f64 -2 y)))
(/.f64 (-.f64 x y) (.f64 x (.f64 y -2)))
(+.f64 (/.f64 -1/2 y) (/.f64 1/2 x))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (.f64 (.f64 (neg.f64 x) 2) y)))
(/.f64 (-.f64 x y) (.f64 x (.f64 2 (neg.f64 y))))
(/.f64 (-.f64 x y) (.f64 x (.f64 -2 y)))
(/.f64 (-.f64 x y) (.f64 x (.f64 y -2)))
(+.f64 (/.f64 -1/2 y) (/.f64 1/2 x))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (.f64 (.f64 x 2) (neg.f64 y))))
(/.f64 (+.f64 y (neg.f64 x)) (.f64 y (.f64 2 (neg.f64 x))))
(/.f64 (-.f64 y x) (.f64 x (.f64 -2 y)))
(/.f64 (-.f64 y x) (.f64 x (.f64 y -2)))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(/.f64 (+.f64 y x) (.f64 (.f64 y 2) x))
(/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))

Symmetry

(sort x y)

Compiler

Compiled 37 to 21 computations (43.2% saved)

eval0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
▶	76.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize51.0ms (3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	76.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series4.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
1.0ms	x	@	-inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
1.0ms	x	@	inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
1.0ms	x	@	0	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
1.0ms	y	@	-inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

rewrite121.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`prod-diff`
910×	`log-prod`
864×	`log1p-expm1-u`
864×	`expm1-log1p-u`
376×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	147	37
2	2236	37

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Outputs
(+.f64 0 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))) 1)
(.f64 (+.f64 x y) (/.f64 (/.f64 1 x) (.f64 y 2)))
(.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2))) 1)
(.f64 1 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (/.f64 1 x) (*.f64 y 2))))
(.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2)))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 1 x) (*.f64 y 2))))
(.f64 (sqrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) (sqrt.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2)))))
(.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (.f64 x (neg.f64 (*.f64 y 2)))))
(.f64 (/.f64 (/.f64 1 x) (.f64 y 2)) (+.f64 x y))
(.f64 (.f64 1/2 (/.f64 (+.f64 x y) x)) (/.f64 1 y))
(.f64 (/.f64 1 x) (/.f64 (+.f64 x y) (.f64 y 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) x) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 y 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 x (*.f64 y 2))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 y 2)))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x (*.f64 y 2))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x y)) y))
(.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (+.f64 x y) x)))
(.f64 (/.f64 1 (.f64 x 2)) (/.f64 (+.f64 x y) y))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (.f64 y 2))) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (.f64 x (*.f64 y 2)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (.f64 y 2)))) (/.f64 (+.f64 x y) (sqrt.f64 (.f64 x (*.f64 y 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) y) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 x 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (.f64 x 2)) (/.f64 (cbrt.f64 (+.f64 x y)) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (.f64 x (.f64 y 2))) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (.f64 x (.f64 y 2)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (.f64 x (*.f64 y 2)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) y) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x 2)))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x (.f64 y 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (.f64 x (*.f64 y 2)))))
(pow.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) 2)
(pow.f64 (/.f64 x (/.f64 (+.f64 x y) (*.f64 y 2))) -1)
(neg.f64 (/.f64 (+.f64 x y) (.f64 x (neg.f64 (.f64 y 2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x (.f64 y 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))

simplify66.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1734×	`times-frac`
1712×	`log-div`
1064×	`associate-/l*`
900×	`associate-/r*`
502×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	2576
1	355	2508
2	1282	2408
3	7260	2408

Stop Event

1×	node limit

Counts

70 → 68

Calls

Call 1

Inputs
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 0 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))) 1)
(.f64 (+.f64 x y) (/.f64 (/.f64 1 x) (.f64 y 2)))
(.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2))) 1)
(.f64 1 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (/.f64 1 x) (*.f64 y 2))))
(.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2)))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 1 x) (*.f64 y 2))))
(.f64 (sqrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) (sqrt.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2)))))
(.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (.f64 x (neg.f64 (*.f64 y 2)))))
(.f64 (/.f64 (/.f64 1 x) (.f64 y 2)) (+.f64 x y))
(.f64 (.f64 1/2 (/.f64 (+.f64 x y) x)) (/.f64 1 y))
(.f64 (/.f64 1 x) (/.f64 (+.f64 x y) (.f64 y 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) x) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 y 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 x (*.f64 y 2))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 y 2)))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x (*.f64 y 2))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x y)) y))
(.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (+.f64 x y) x)))
(.f64 (/.f64 1 (.f64 x 2)) (/.f64 (+.f64 x y) y))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (.f64 y 2))) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (.f64 x (*.f64 y 2)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (.f64 y 2)))) (/.f64 (+.f64 x y) (sqrt.f64 (.f64 x (*.f64 y 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) y) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 x 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (.f64 x 2)) (/.f64 (cbrt.f64 (+.f64 x y)) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (.f64 x (.f64 y 2))) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (.f64 x (.f64 y 2)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (.f64 x (*.f64 y 2)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) y) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x 2)))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x (.f64 y 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (.f64 x (*.f64 y 2)))))
(pow.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) 2)
(pow.f64 (/.f64 x (/.f64 (+.f64 x y) (*.f64 y 2))) -1)
(neg.f64 (/.f64 (+.f64 x y) (.f64 x (neg.f64 (.f64 y 2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x (.f64 y 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))

Outputs
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
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(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (.f64 x y) 2)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (.f64 (*.f64 x y) 2))))
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(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) y) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x 2)))
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(*.f64 (fma.f64 (/.f64 1 x) y 1) (/.f64 1/2 y))
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(/.f64 (+.f64 x y) (.f64 (.f64 x y) 2))
(*.f64 (+.f64 x y) (/.f64 (/.f64 1/2 x) y))
(*.f64 (fma.f64 (/.f64 1 x) y 1) (/.f64 1/2 y))
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(/.f64 (+.f64 x y) (.f64 (.f64 x y) 2))
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(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x y) (.f64 x (*.f64 y 2)))) 1))
(/.f64 (+.f64 x y) (.f64 (.f64 x y) 2))
(*.f64 (+.f64 x y) (/.f64 (/.f64 1/2 x) y))
(*.f64 (fma.f64 (/.f64 1 x) y 1) (/.f64 1/2 y))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))
(/.f64 (+.f64 x y) (.f64 (.f64 x y) 2))
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(*.f64 (fma.f64 (/.f64 1 x) y 1) (/.f64 1/2 y))

eval27.0ms (1.6%)

Compiler: Compiled 1069 to 598 computations (44.1% saved)

prune10.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Accuracy

100.0%

Counts

69 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.3%	(/.f64 1/2 y)
▶	57.2%	(/.f64 1/2 x)
▶	100.0%	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
▶	44.3%	(/.f64 1/2 y)
▶	57.2%	(/.f64 1/2 x)
▶	100.0%	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 38 to 30 computations (21.1% saved)

localize39.0ms (2.3%)

Compiler: Compiled 29 to 19 computations (34.5% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.3%	(/.f64 1/2 y)
✓	57.2%	(/.f64 1/2 x)
✓	100.0%	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes12.0ms (0.7%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 1/2 x)
(/.f64 1/2 y)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Outputs
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Calls

3 calls:

4.0ms	x
4.0ms	y
4.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))`

Compiler

Compiled 41 to 27 computations (34.1% saved)

regimes22.0ms (1.3%)

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 1/2 x)
(/.f64 1/2 y)

Outputs
(/.f64 1/2 y)
(/.f64 1/2 x)

Calls

2 calls:

11.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
86.0%	4	`x`
83.4%	2	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes29.0ms (1.7%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 1/2 x)

Outputs
(/.f64 1/2 x)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
57.2%	1	`x`
57.2%	1	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch13.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.3351470124755814e-216	8.278475160761083e-214

Results

12.0ms

128×

body

256

valid

Compiler

Compiled 112 to 91 computations (18.8% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	67
1	18	67

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

(if (<=.f64 y 1243227378600177/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744) (/.f64 1/2 y) (/.f64 1/2 x))

(/.f64 1/2 x)

Outputs

(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

(if (<=.f64 y 1243227378600177/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744) (/.f64 1/2 y) (/.f64 1/2 x))

(/.f64 1/2 x)

Compiler

Compiled 26 to 20 computations (23.1% saved)

soundness97.0ms (5.7%)

Rules

1734×	`times-frac`
1712×	`log-div`
1064×	`associate-/l*`
900×	`associate-/r*`
502×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	2576
1	355	2508
2	1282	2408
3	7260	2408

Stop Event

1×	node limit

Compiler

Compiled 60 to 48 computations (20% saved)

end0.0ms (0%)

preprocess58.0ms (3.4%)

Remove: (sort x y)
Compiler: Compiled 138 to 102 computations (26.1% saved)

analyze20.0ms (1.2%)

sample968.0ms (56.4%)

preprocess165.0ms (9.6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize51.0ms (3%)

series4.0ms (0.3%)

rewrite121.0ms (7.1%)

simplify66.0ms (3.8%)

eval27.0ms (1.6%)

prune10.0ms (0.6%)

localize39.0ms (2.3%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes12.0ms (0.7%)

regimes22.0ms (1.3%)

regimes29.0ms (1.7%)

bsearch13.0ms (0.8%)

simplify5.0ms (0.3%)

soundness97.0ms (5.7%)

end0.0ms (0%)

preprocess58.0ms (3.4%)

Profiling