Metrics for Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

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 13 to 9 computations (30.8% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

sample954.0ms (37.4%)

Results

670.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 282.0ms

ival-mult: 220.0ms (78% of total)

ival-sub: 47.0ms (16.7% of total)

const: 11.0ms (3.9% of total)

backward-pass: 4.0ms (1.4% of total)

Bogosity

preprocess94.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

425×	`fma-define`
210×	`fma-neg`
96×	`distribute-lft-neg-in`
94×	`associate-r`
94×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	435
1	116	375
2	284	375
3	713	375
4	1184	375
5	1616	375
6	1710	375
7	1718	375
8	1718	375

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(neg.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 (.f64 y y) (.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 (.f64 z z) (.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 (.f64 x x) (.f64 (*.f64 z #s(literal 4 binary64)) y))

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 (.f64 x x) (.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(fma.f64 x x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(-.f64 (.f64 x x) (.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(fma.f64 x x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) z))
(neg.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(neg.f64 (fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64)))))
(-.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) (*.f64 x x))
(neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (.f64 x x) (.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64))))))
(neg.f64 (fma.f64 x x (.f64 y (.f64 #s(literal 4 binary64) z))))
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (*.f64 x x))
(neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(neg.f64 (-.f64 (.f64 x x) (.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64))))))
(neg.f64 (fma.f64 x x (.f64 y (.f64 #s(literal 4 binary64) z))))
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (*.f64 x x))
(-.f64 (.f64 y y) (.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 (.f64 y y) (.f64 z (*.f64 x #s(literal 4 binary64))))
(fma.f64 y y (.f64 x (.f64 z #s(literal -4 binary64))))
(fma.f64 x (.f64 z #s(literal -4 binary64)) (.f64 y y))
(-.f64 (.f64 z z) (.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 (.f64 z z) (.f64 y (*.f64 x #s(literal 4 binary64))))
(fma.f64 z z (.f64 x (.f64 y #s(literal -4 binary64))))
(fma.f64 y (.f64 x #s(literal -4 binary64)) (.f64 z z))
(-.f64 (.f64 x x) (.f64 (*.f64 z #s(literal 4 binary64)) y))
(fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))

Symmetry

(abs x)

(sort y z)

explain81.0ms (3.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
0	-	-	`x`
0	-	-	`(*.f64 x x)`
0	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`y`

Results

50.0ms

512×

256

valid

Compiler

Compiled 68 to 38 computations (44.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 20.0ms (83.7% of total)

ival-sub: 3.0ms (12.6% of total)

const: 1.0ms (4.2% of total)

eval60.0ms (2.4%)

Compiler: Compiled 20 to 12 computations (40% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
▶	98.4%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize68.0ms (2.7%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	98.8%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
✓	98.7%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Results

44.0ms

256×

256

valid

Compiler

Compiled 48 to 25 computations (47.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 21.0ms (74.2% of total)

composed: 3.0ms (10.6% of total)

ival-sub: 1.0ms (3.5% of total)

ival-add: 1.0ms (3.5% of total)

const: 1.0ms (3.5% of total)

series9.0ms (0.4%)

Counts

2 → 72

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))>
#<alt (fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))>

Outputs
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+ (* x x) (* y (* z -4)))
1.0ms	x	@	0	(- (* x x) (* (* y 4) z))
1.0ms	y	@	inf	(- (* x x) (* (* y 4) z))
1.0ms	y	@	0	(- (* x x) (* (* y 4) z))
1.0ms	x	@	inf	(- (* x x) (* (* y 4) z))

rewrite387.0ms (15.2%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`log1p-expm1-u`
996×	`expm1-log1p-u`
585×	`log-prod`
422×	`fma-define`
180×	`expm1-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	68
1	235	66
2	3090	60

Stop Event

1×	node limit

Counts

2 → 224

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))

Outputs
(+.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 z (.f64 y #s(literal -4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 #s(literal 4 binary64) (.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z))) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 z (.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
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(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (+.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z)))) (-.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))) (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))))) (-.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 z (.f64 y #s(literal -4 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))) (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(log.f64 (.f64 (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify269.0ms (10.6%)

Algorithm

1×	egg-herbie

Rules

410×	`times-frac`
299×	`*-commutative`
289×	`fma-neg`
283×	`distribute-lft-in`
269×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	363	13441
1	843	13223
2	2330	12619
3	7880	12319

Stop Event

1×	node limit

Counts

296 → 219

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 z (.f64 y #s(literal -4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 #s(literal 4 binary64) (.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z))) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 z (.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))
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(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (hypot.f64 x (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64))))) (hypot.f64 x (sqrt.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (+.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z)))) (-.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))) (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))))) (-.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 z (.f64 y #s(literal -4 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))) (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(log.f64 (.f64 (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))

eval114.0ms (4.5%)

Compiler: Compiled 4873 to 3030 computations (37.8% saved)

prune33.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	216	3	219
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	217	4	221

Accuracy

100.0%

Counts

221 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(pow.f64 x #s(literal 2 binary64))
✓	98.4%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
▶	52.5%	(.f64 y (.f64 #s(literal -4 binary64) z))
▶	52.5%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 34 to 25 computations (26.5% saved)

localize44.0ms (1.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 #s(literal -4 binary64) (.f64 y z))

Results

31.0ms

256×

256

valid

Compiler

Compiled 31 to 17 computations (45.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 10.0ms (70.9% of total)

ival-pow: 3.0ms (21.3% of total)

const: 1.0ms (7.1% of total)

series2.0ms (0.1%)

Counts

1 → 0

Calls

Call 1

Inputs
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>

Outputs

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* -4 (* y z))
0.0ms	z	@	-inf	(* -4 (* y z))
0.0ms	z	@	0	(* -4 (* y z))
0.0ms	z	@	inf	(* -4 (* y z))
0.0ms	y	@	inf	(* -4 (* y z))

rewrite66.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

408×	`unpow-prod-down`
362×	`log1p-expm1-u`
362×	`expm1-log1p-u`
348×	`add-exp-log`
336×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	88	19
2	1008	19

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))

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

simplify69.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1123×	`fma-define`
435×	`fma-neg`
395×	`associate-+r-`
284×	`*-commutative`
278×	`prod-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	559
1	118	559
2	290	559
3	1438	559
4	3123	559
5	5198	559

Stop Event

1×	node limit

Counts

21 → 26

Calls

Call 1

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

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

eval7.0ms (0.3%)

Compiler: Compiled 263 to 185 computations (29.7% saved)

prune7.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	26	4	30

Accuracy

100.0%

Counts

30 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.5%	(pow.f64 x #s(literal 2 binary64))
✓	98.4%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
✓	52.5%	(.f64 y (.f64 #s(literal -4 binary64) z))
✓	52.5%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 67 to 45 computations (32.8% saved)

regimes25.0ms (1%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))

Outputs
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))

Calls

7 calls:

9.0ms	(*.f64 x x)
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
3.0ms	x
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	y

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
98.8%	1	`(*.f64 x x)`
98.8%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
98.8%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes16.0ms (0.6%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(pow.f64 x #s(literal 2 binary64))

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Calls

7 calls:

4.0ms	y
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	z
2.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
98.4%	1	`(*.f64 x x)`
98.4%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
98.4%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes5.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))

Outputs
(.f64 #s(literal -4 binary64) (.f64 y z))

Calls

3 calls:

2.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
52.5%	1	`x`
52.5%	1	`y`
52.5%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative`
6×	`sub-neg`
6×	`+-commutative`
5×	`neg-sub0`
5×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	89
1	33	89
2	51	89
3	61	89
4	69	89
5	72	89

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(.f64 #s(literal -4 binary64) (.f64 y z))

Outputs
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (.f64 x x) (.f64 z (*.f64 y #s(literal 4 binary64))))
(.f64 #s(literal -4 binary64) (.f64 y z))

soundness128.0ms (5%)

Rules

425×	`fma-define`
210×	`fma-neg`
96×	`distribute-lft-neg-in`
94×	`associate-r`
94×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	435
1	116	375
2	284	375
3	713	375
4	1184	375
5	1616	375
6	1710	375
7	1718	375
8	1718	375

Stop Event

1×	done
1×	saturated

Compiler

Compiled 90 to 52 computations (42.2% saved)

preprocess104.0ms (4.1%)

Remove

(sort y z)

(abs x)

Compiler

Compiled 250 to 158 computations (36.8% saved)

Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

analyze0.0ms (0%)

sample954.0ms (37.4%)

preprocess94.0ms (3.7%)

explain81.0ms (3.2%)

eval60.0ms (2.4%)

prune1.0ms (0.1%)

localize68.0ms (2.7%)

series9.0ms (0.4%)

rewrite387.0ms (15.2%)

simplify269.0ms (10.6%)

eval114.0ms (4.5%)

prune33.0ms (1.3%)

localize44.0ms (1.7%)

series2.0ms (0.1%)

rewrite66.0ms (2.6%)

simplify69.0ms (2.7%)

eval7.0ms (0.3%)

prune7.0ms (0.3%)

regimes25.0ms (1%)

regimes16.0ms (0.6%)

regimes5.0ms (0.2%)

simplify4.0ms (0.2%)

soundness128.0ms (5%)

preprocess104.0ms (4.1%)

end0.0ms (0%)

Profiling