Metrics for Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, A

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 8 to 5 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-add: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample519.0ms (45.2%)

Results

329.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-add: 106.0ms (91.7% of total)

const: 7.0ms (6.1% of total)

backward-pass: 3.0ms (2.6% of total)

Bogosity

preprocess71.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

207×	`fma-neg`
97×	`fma-define`
45×	`distribute-rgt-in`
37×	`associate-+l-`
32×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	162
1	47	154
2	113	133
3	310	113
4	622	113
5	856	113
6	910	113
7	916	113

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(+.f64 (+.f64 x y) x)
(+.f64 x (+.f64 x y))
(+.f64 y (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) y)
(+.f64 (+.f64 x y) x)
(+.f64 x (+.f64 x y))
(+.f64 y (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) y)
(+.f64 (+.f64 (neg.f64 x) y) (neg.f64 x))
(-.f64 (+.f64 y (neg.f64 x)) x)
(-.f64 (-.f64 y x) x)
(+.f64 y (*.f64 x #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) y)
(+.f64 (+.f64 x (neg.f64 y)) x)
(+.f64 x (-.f64 x y))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(neg.f64 (+.f64 (+.f64 (neg.f64 x) y) (neg.f64 x)))
(+.f64 x (-.f64 x y))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(neg.f64 (+.f64 (+.f64 x (neg.f64 y)) x))
(-.f64 (+.f64 y (neg.f64 x)) x)
(-.f64 (-.f64 y x) x)
(+.f64 y (*.f64 x #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) y)
(+.f64 (+.f64 y x) y)
(+.f64 y (+.f64 x y))
(+.f64 x (+.f64 y y))
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 y #s(literal 2 binary64) x)

explain47.0ms (4.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(+.f64 (+.f64 x y) x)`
-	-	`(+.f64 x y)`
-	-	`y`

Results

24.0ms

512×

valid

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 8.0ms (93.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 y (*.f64 x #s(literal 2 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize84.0ms (7.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 y (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 y (*.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))

Rules

2×	`fma-define`
1×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	12	34
2	15	34

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 y (*.f64 x #s(literal 2 binary64)))
y
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

Outputs
(+.f64 y (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) y)
y
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

Results

72.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (45% of total)

ival-mult: 2.0ms (45% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series4.0ms (0.4%)

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (+.f64 y (*.f64 x #s(literal 2 binary64)))>

Outputs
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt y>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x 2)
0.0ms	x	@	-inf	(+ y (* x 2))
0.0ms	x	@	0	(* x 2)
0.0ms	x	@	inf	(* x 2)
0.0ms	x	@	inf	(+ y (* x 2))

rewrite200.0ms (17.4%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`prod-diff`
486×	`log1p-expm1-u`
486×	`expm1-log1p-u`
425×	`unpow-prod-down`
419×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	97	25
2	1316	25

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(+.f64 y (*.f64 x #s(literal 2 binary64)))

Outputs
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -2 binary64) x))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 y (*.f64 #s(literal -2 binary64) x))))
(*.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 (fma.f64 x #s(literal 2 binary64) y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 #s(literal -2 binary64) x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal 2 binary64) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -2 binary64) x)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 y (.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (+.f64 y (.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) y))
(pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y (.f64 #s(literal -2 binary64) x)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) y)))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) y)))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) y)))
(exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 2 binary64) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 2 binary64))) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (.f64 x #s(literal 2 binary64))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) y)

simplify86.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

873×	`fma-neg`
471×	`associate-r`
425×	`associate-l`
373×	`unswap-sqr`
322×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	2441
1	434	2356
2	1099	2299
3	5255	2287

Stop Event

1×	node limit

Counts

116 → 103

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 y (*.f64 #s(literal 2 binary64) x))
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -2 binary64) x))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 y (*.f64 #s(literal -2 binary64) x))))
(*.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 (fma.f64 x #s(literal 2 binary64) y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 #s(literal -2 binary64) x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal 2 binary64) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -2 binary64) x)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 y (.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (+.f64 y (.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) y))
(pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y (.f64 #s(literal -2 binary64) x)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) y)))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) y)))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) y)))
(exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 2 binary64) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 2 binary64))) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (.f64 x #s(literal 2 binary64))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) y)

Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x y)
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(fma.f64 #s(literal 2 binary64) x y)
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(fma.f64 #s(literal 2 binary64) x y)
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(fma.f64 #s(literal 2 binary64) x y)
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) x y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) x y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) x y)
y
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x y)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x y)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal 2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(*.f64 #s(literal 2 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x y)
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -2 binary64) x))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 y (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 y y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) y))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) y))
(*.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (fma.f64 x #s(literal 2 binary64) y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 #s(literal 2 binary64) x y)
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x #s(literal -2 binary64) y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) y))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x #s(literal -2 binary64) y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 y (.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 y y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) y))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) y))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x #s(literal -2 binary64) y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (+.f64 y (.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 y y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) y))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) y))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 y y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) y))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) y))
(pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x y)
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) x y)
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) x y)
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2 binary64) x y)
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x y)
(pow.f64 (/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x #s(literal -2 binary64) y)) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 y (.f64 #s(literal -2 binary64) x)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 y (.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 y y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) y))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) y))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(log.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 #s(literal 2 binary64) x y)
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 #s(literal 2 binary64) x y)
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 #s(literal 2 binary64) x y)
(exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 #s(literal 2 binary64) x y)
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 x #s(literal 2 binary64) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 2 binary64))) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (.f64 x #s(literal 2 binary64))) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 #s(literal 2 binary64) x y)

eval13.0ms (1.1%)

Compiler: Compiled 1154 to 283 computations (75.5% saved)

prune17.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	2	104

Accuracy

100.0%

Counts

104 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 y (*.f64 x #s(literal 2 binary64)))
▶	53.6%	y

Compiler

Compiled 10 to 7 computations (30% saved)

localize14.0ms (1.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4

Stop Event

1×

saturated

Calls

Call 1

Inputs
y

Outputs
y

Results

5.0ms

256×

valid

Compiler

Compiled 4 to 3 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Accuracy

100.0%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 y (*.f64 x #s(literal 2 binary64)))
✓	53.6%	y

Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes6.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

Inputs
y
(+.f64 y (*.f64 x #s(literal 2 binary64)))
(+.f64 (+.f64 x y) x)

Outputs
(+.f64 y (*.f64 x #s(literal 2 binary64)))

Calls

3 calls:

2.0ms	(+.f64 (+.f64 x y) x)
2.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes3.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
53.6%	1	`x`
53.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	12	23

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 y (*.f64 x #s(literal 2 binary64)))
y

Outputs
(+.f64 y (*.f64 x #s(literal 2 binary64)))
y

soundness52.0ms (4.5%)

Rules

207×	`fma-neg`
97×	`fma-define`
45×	`distribute-rgt-in`
37×	`associate-+l-`
32×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	162
1	47	154
2	113	133
3	310	113
4	622	113
5	856	113
6	910	113
7	916	113

Stop Event

1×	done
1×	saturated

Compiler

Compiled 80 to 35 computations (56.3% saved)

preprocess28.0ms (2.4%)

Compiler: Compiled 44 to 28 computations (36.4% saved)

Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, A

analyze0.0ms (0%)

sample519.0ms (45.2%)

preprocess71.0ms (6.2%)

explain47.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize84.0ms (7.3%)

series4.0ms (0.4%)

rewrite200.0ms (17.4%)

simplify86.0ms (7.5%)

eval13.0ms (1.1%)

prune17.0ms (1.5%)

localize14.0ms (1.2%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes6.0ms (0.5%)

regimes3.0ms (0.2%)

simplify2.0ms (0.2%)

soundness52.0ms (4.5%)

preprocess28.0ms (2.4%)

end0.0ms (0%)

Profiling