Metrics for Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample929.0ms (38.3%)

Results

604.0ms	5916×	256	valid
96.0ms	1049×	256	infinite
123.0ms	730×	512	valid
95.0ms	559×	1024	valid
0.0ms	2×	2048	valid

Bogosity

preprocess328.0ms (13.5%)

Algorithm

1×	egg-herbie

Rules

1328×	`fma-neg`
1134×	`unsub-neg`
1046×	`sub-neg`
862×	`distribute-lft-out`
830×	`distribute-lft-out--`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
49	1	(24736200240.61253 7.678271721176168e-38)	-	`(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))`
0	0	-	-	`x`
0	0	-	-	`(*.f64 (-.f64 1 x) (-.f64 1 y))`
0	0	-	-	`(-.f64 1 y)`
0	0	-	-	`(-.f64 1 x)`
0	0	-	-	`y`
0	0	-	-	`1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	270
1	57	222
2	167	218
3	709	218
4	2704	175
5	5021	175
6	6074	175
7	6595	175
8	6840	175
9	6992	175
10	7081	175
11	7201	175
12	7542	175

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 67 to 46 computations (31.3% saved)

eval0.0ms (0%)

Compiler: Compiled 17 to 12 computations (29.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 1 (*.f64 y (+.f64 x -1)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize33.0ms (1.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 y (+.f64 x -1))

Compiler

Compiled 22 to 15 computations (31.8% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite183.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`unpow-prod-down`
515×	`log1p-expm1-u`
515×	`expm1-log1p-u`
502×	`log-prod`
480×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	104	19
2	1411	19

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

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

simplify180.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

1308×	`fma-neg`
1056×	`fma-def`
654×	`div-sub`
592×	`cancel-sign-sub-inv`
432×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1763
1	383	1705
2	1060	1689
3	4411	1689

Stop Event

1×	node limit

Counts

77 → 70

Calls

Call 1

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

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

eval20.0ms (0.8%)

Compiler: Compiled 882 to 555 computations (37.1% saved)

prune10.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	3	71

Accuracy

100.0%

Counts

71 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 1 (*.f64 y (+.f64 x -1)))
▶	74.7%	(+.f64 1 (*.f64 y x))
▶	64.0%	(+.f64 1 (neg.f64 y))

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize32.0ms (1.3%)

Compiler: Compiled 22 to 11 computations (50% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 1 (*.f64 y (+.f64 x -1)))
✓	74.7%	(+.f64 1 (*.f64 y x))
✓	64.0%	(+.f64 1 (neg.f64 y))

Compiler

Compiled 49 to 36 computations (26.5% saved)

regimes38.0ms (1.6%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	x
4.0ms	y
4.0ms	(-.f64 1 y)
3.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))`
100.0%	1	`(-.f64 1 y)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes31.0ms (1.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
99.1%	3	`x`
85.0%	7	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 1 (neg.f64 y))

Outputs
(+.f64 1 (neg.f64 y))

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
64.0%	1	`y`
64.0%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch49.0ms (2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.9919225985719674e-29	7.280175671978668e-15
30.0ms	-532324269662.5995	-7.196106770159534e-6

Results

44.0ms	318×	256	valid
0.0ms	2×	256	infinite

Compiler

Compiled 316 to 252 computations (20.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
6×	`*-commutative`
3×	`1-exp`
2×	`unsub-neg`
2×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	95
1	44	95
2	46	95
3	47	95

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -1) (+.f64 1 (*.f64 y x)) (if (<=.f64 x 2281771080410813/316912650057057350374175801344) (+.f64 1 (neg.f64 y)) (+.f64 1 (*.f64 y x))))

(+.f64 1 (neg.f64 y))

Outputs
(+.f64 1 (*.f64 y (+.f64 x -1)))
(if (<=.f64 x -1) (+.f64 1 (.f64 y x)) (if (<=.f64 x 2281771080410813/316912650057057350374175801344) (+.f64 1 (neg.f64 y)) (+.f64 1 (.f64 y x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 2281771080410813/316912650057057350374175801344))) (+.f64 1 (*.f64 y x)) (-.f64 1 y))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)

Compiler

Compiled 33 to 25 computations (24.2% saved)

soundness531.0ms (21.9%)

Rules

1328×	`fma-neg`
1308×	`fma-neg`
1308×	`fma-neg`
1134×	`unsub-neg`
1056×	`fma-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	270
1	57	222
2	167	218
3	709	218
4	2704	175
5	5021	175
6	6074	175
7	6595	175
8	6840	175
9	6992	175
10	7081	175
11	7201	175
12	7542	175
0	153	1763
1	383	1705
2	1060	1689
3	4411	1689
0	153	1763
1	383	1705
2	1060	1689
3	4411	1689

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 226 to 148 computations (34.5% saved)

end0.0ms (0%)

preprocess46.0ms (1.9%)

Compiler: Compiled 98 to 70 computations (28.6% saved)

analyze0.0ms (0%)

sample929.0ms (38.3%)

preprocess328.0ms (13.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize33.0ms (1.4%)

series3.0ms (0.1%)

rewrite183.0ms (7.5%)

simplify180.0ms (7.4%)

eval20.0ms (0.8%)

prune10.0ms (0.4%)

localize32.0ms (1.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes38.0ms (1.6%)

regimes31.0ms (1.3%)

regimes5.0ms (0.2%)

bsearch49.0ms (2%)

simplify4.0ms (0.2%)

soundness531.0ms (21.9%)

end0.0ms (0%)

preprocess46.0ms (1.9%)

Profiling