Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, 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 11 to 8 computations (27.3% 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)

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

sample595.0ms (28.5%)

Results

420.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-mult: 135.0ms (70.9% of total)

ival-sub: 44.0ms (23.1% of total)

const: 9.0ms (4.7% of total)

backward-pass: 2.0ms (1.1% of total)

Bogosity

preprocess100.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

360×	`fma-define`
206×	`fma-neg`
92×	`cancel-sign-sub-inv`
89×	`associate-r`
85×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	332
1	103	314
2	247	276
3	629	276
4	1120	276
5	1518	276
6	1555	276
7	1560	276
8	1560	276
9	1560	276

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 (neg.f64 x) (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 x) (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (.f64 z (.f64 y #s(literal -4 binary64))))
(-.f64 (.f64 z (.f64 y #s(literal -4 binary64))) x)
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)
(-.f64 x (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 (neg.f64 x) (.f64 (.f64 y #s(literal 4 binary64)) z)))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 x (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(-.f64 (neg.f64 x) (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (.f64 z (.f64 y #s(literal -4 binary64))))
(-.f64 (.f64 z (.f64 y #s(literal -4 binary64))) x)
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)
(neg.f64 (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 (neg.f64 x) (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (.f64 z (.f64 y #s(literal -4 binary64))))
(-.f64 (.f64 z (.f64 y #s(literal -4 binary64))) x)
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)
(-.f64 y (.f64 (.f64 x #s(literal 4 binary64)) z))
(-.f64 y (.f64 x (.f64 #s(literal 4 binary64) z)))
(+.f64 y (.f64 z (.f64 x #s(literal -4 binary64))))
(fma.f64 x (*.f64 z #s(literal -4 binary64)) y)
(-.f64 z (.f64 (.f64 y #s(literal 4 binary64)) x))
(-.f64 z (.f64 x (.f64 y #s(literal 4 binary64))))
(+.f64 z (.f64 x (.f64 y #s(literal -4 binary64))))
(fma.f64 x (*.f64 y #s(literal -4 binary64)) z)
(-.f64 x (.f64 (.f64 z #s(literal 4 binary64)) y))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)

Symmetry

(sort y z)

explain59.0ms (2.8%)

FPErrors

Click to see full error table

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

Results

34.0ms

512×

valid

Compiler

Compiled 56 to 23 computations (58.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (74.9% of total)

ival-sub: 3.0ms (25% of total)

const: 1.0ms (8.3% of total)

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

eval0.0ms (0%)

Compiler: Compiled 23 to 13 computations (43.5% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify30.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) z)
✓	cost-diff	0	(.f64 y (.f64 #s(literal 4 binary64) z))

Rules

262×	`fma-define`
110×	`fma-neg`
45×	`cancel-sign-sub-inv`
42×	`distribute-lft-neg-in`
27×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	23	70
2	51	66
3	111	66
4	159	66
5	215	66
6	314	66
7	395	66
8	524	66
9	706	66
10	792	66
11	804	66

Stop Event

1×

saturated

Calls

Call 1

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

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

localize24.0ms (1.2%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
✓	accuracy	100.0%	(.f64 y (.f64 #s(literal 4 binary64) z))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) z)

Results

17.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (70.4% of total)

ival-sub: 1.0ms (17.6% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.5%)

Counts

3 → 60

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite244.0ms (11.7%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`prod-diff`
706×	`log1p-expm1-u`
706×	`expm1-log1p-u`
393×	`log-prod`
240×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	143	57
2	1937	57

Stop Event

1×	node limit

Counts

3 → 221

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 4 binary64) z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 x (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))))
(+.f64 x (.f64 (.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x) (fma.f64 (neg.f64 (.f64 y #s(literal 4 binary64))) z (.f64 y (.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x) (fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z)) x))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 z y) #s(literal 4 binary64)))) (fma.f64 (neg.f64 (.f64 z y)) #s(literal 4 binary64) (.f64 (*.f64 z y) #s(literal 4 binary64))))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) (neg.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z) x)
(fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y x)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) x)
(fma.f64 (.f64 (cbrt.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)))) (cbrt.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))))) (cbrt.f64 (.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 (sqrt.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)))) (sqrt.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) x)
(fma.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z x)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z x)
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64) x)
(fma.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) z) x)
(fma.f64 (.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (.f64 (neg.f64 y) (.f64 (sqrt.f64 z) #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) x)

simplify247.0ms (11.8%)

Algorithm

1×	egg-herbie

Rules

444×	`distribute-lft-neg-in`
417×	`fma-neg`
408×	`distribute-rgt-neg-in`
273×	`associate-r`
229×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	547	8094
1	1331	7950
2	3722	7944

Stop Event

1×	node limit

Counts

281 → 258

Calls

Call 1

Inputs
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (-.f64 (/.f64 x 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 x y)) (.f64 #s(literal -4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (-.f64 (/.f64 x 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 x z)) (.f64 #s(literal -4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 4 binary64) z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 x (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))))
(+.f64 x (.f64 (.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
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(fma.f64 (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) (neg.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z) x)
(fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y x)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) x)
(fma.f64 (.f64 (cbrt.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)))) (cbrt.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))))) (cbrt.f64 (.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 (sqrt.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)))) (sqrt.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) x)
(fma.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z x)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z x)
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64) x)
(fma.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) z) x)
(fma.f64 (.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (.f64 (neg.f64 y) (.f64 (sqrt.f64 z) #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) x)

Outputs
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 z #s(literal -4 binary64)))
(.f64 z (.f64 y #s(literal -4 binary64)))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 z #s(literal -4 binary64)))
(.f64 z (.f64 y #s(literal -4 binary64)))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (+.f64 (/.f64 x y) (.f64 z #s(literal -4 binary64))))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (+.f64 (/.f64 x y) (.f64 z #s(literal -4 binary64))))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (+.f64 (/.f64 x y) (.f64 z #s(literal -4 binary64))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 z #s(literal -4 binary64)))
(.f64 z (.f64 y #s(literal -4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
(.f64 y (+.f64 (/.f64 x y) (.f64 z #s(literal -4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
(.f64 y (+.f64 (/.f64 x y) (.f64 z #s(literal -4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
(.f64 y (+.f64 (/.f64 x y) (.f64 z #s(literal -4 binary64))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
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(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (sqrt.f64 (fma.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)) x)) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) (neg.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (.f64 #s(literal 4 binary64) z))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 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 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 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 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 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 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 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 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (.f64 #s(literal 4 binary64) z))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (.f64 (cbrt.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)))) (cbrt.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))))) (cbrt.f64 (.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (sqrt.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)))) (sqrt.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (.f64 y (neg.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) z) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (.f64 (neg.f64 y) (.f64 (sqrt.f64 z) #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)

eval31.0ms (1.5%)

Compiler: Compiled 5567 to 674 computations (87.9% saved)

prune37.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	256	2	258
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	256	3	259

Accuracy

100.0%

Counts

259 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
▶	50.0%	(.f64 y (.f64 z #s(literal -4 binary64)))
▶	51.3%	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z #s(literal -4 binary64))
✓	cost-diff	0	(.f64 y (.f64 z #s(literal -4 binary64)))

Rules

5×	`*-commutative`
3×	`associate-r`
3×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	16	42
2	23	42
3	25	42

Stop Event

1×

saturated

Calls

Call 1

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

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

localize21.0ms (1%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z #s(literal -4 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal -4 binary64)))

Results

14.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

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

ival-mult: 4.0ms (94.2% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite70.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

397×	`unpow-prod-down`
364×	`log1p-expm1-u`
364×	`expm1-log1p-u`
348×	`add-exp-log`
335×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	88	29
2	1013	29

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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 z) y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(-.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 z) #s(literal -4 binary64)) y))
(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)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z #s(literal -4 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 z #s(literal -4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z #s(literal -4 binary64))))) (sqrt.f64 (log.f64 (.f64 z #s(literal -4 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z #s(literal -4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -64 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64)))

simplify80.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

640×	`prod-exp`
388×	`associate-r`
350×	`associate-l`
308×	`fma-neg`
267×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	1490
1	208	1490
2	483	1490
3	2636	1490
4	4310	1490

Stop Event

1×	node limit

Counts

78 → 62

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 z #s(literal -4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(-.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 z) #s(literal -4 binary64)) y))
(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)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z #s(literal -4 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 z #s(literal -4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z #s(literal -4 binary64))))) (sqrt.f64 (log.f64 (.f64 z #s(literal -4 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z #s(literal -4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -64 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64)))

Outputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 z #s(literal -4 binary64))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 y z)))))
(+.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 #s(literal -4 binary64) z)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (.f64 y z)))) #s(literal 2 binary64))
(.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -4 binary64)))) #s(literal 3 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (sqrt.f64 (.f64 y (.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(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 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal -4 binary64) (.f64 y z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal -4 binary64) (.f64 y z)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(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))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -4 binary64) (.f64 y z))))) (sqrt.f64 (log.f64 (.f64 #s(literal -4 binary64) (.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))) (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(sqrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(cbrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(exp.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 3 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 z #s(literal -4 binary64))))) #s(literal 1/3 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 2 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) z)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) z)
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) z)
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal -4 binary64) z)
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -4 binary64) z)
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -64 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -4 binary64) z)
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -4 binary64) z)
(pow.f64 (E.f64) (log.f64 (*.f64 z #s(literal -4 binary64))))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -4 binary64) z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 z #s(literal -4 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal -4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal -4 binary64) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z #s(literal -4 binary64))))) (sqrt.f64 (log.f64 (.f64 z #s(literal -4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -4 binary64) z)))) (sqrt.f64 (log.f64 (.f64 #s(literal -4 binary64) z))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(*.f64 #s(literal -4 binary64) z)
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) z)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -64 binary64)))
(*.f64 #s(literal -4 binary64) z)
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) z)
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) z)
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) z)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z #s(literal -4 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal -4 binary64) z)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -64 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -4 binary64) z)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) z)

eval8.0ms (0.4%)

Compiler: Compiled 658 to 209 computations (68.2% saved)

prune11.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	62	3	65

Accuracy

100.0%

Counts

65 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
✓	50.0%	(.f64 y (.f64 z #s(literal -4 binary64)))
✓	51.3%	x

Compiler

Compiled 45 to 29 computations (35.6% saved)

regimes32.0ms (1.6%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

21.0ms	y
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
100.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
100.0%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes6.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
72.4%	3	`x`
76.2%	3	`y`
74.6%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
51.3%	1	`x`
51.3%	1	`z`
51.3%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch101.0ms (4.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.4910097188244907e-120	7.0433778795872445e-96
10.0ms	-5.057109943564163e+107	-1.6832463331374816e+106

Results

15.0ms

288×

valid

Compiler

Compiled 268 to 210 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (73.7% of total)

ival-sub: 1.0ms (14.7% of total)

const: 0.0ms (0% of total)

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

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	86
1	40	86
2	52	86
3	64	86
4	72	86
5	77	86
6	79	86

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -16999999999999999714279605155225917536226598349542926525305723237886909349570863639718936378817705158901760 binary64)) (*.f64 y (*.f64 z #s(literal -4 binary64))) (if (<=.f64 y #s(literal 4208588308330709/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) x (*.f64 y (*.f64 z #s(literal -4 binary64)))))

Outputs
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(if (<=.f64 y #s(literal -16999999999999999714279605155225917536226598349542926525305723237886909349570863639718936378817705158901760 binary64)) (.f64 y (.f64 z #s(literal -4 binary64))) (if (<=.f64 y #s(literal 4208588308330709/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) x (.f64 y (.f64 z #s(literal -4 binary64)))))
(if (or (<=.f64 y #s(literal -16999999999999999714279605155225917536226598349542926525305723237886909349570863639718936378817705158901760 binary64)) (not (<=.f64 y #s(literal 4208588308330709/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)))) (.f64 y (.f64 z #s(literal -4 binary64))) x)
x

soundness330.0ms (15.8%)

Rules

444×	`distribute-lft-neg-in`
417×	`fma-neg`
408×	`distribute-rgt-neg-in`
360×	`fma-define`
273×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	547	8094
1	1331	7950
2	3722	7944
0	34	332
1	103	314
2	247	276
3	629	276
4	1120	276
5	1518	276
6	1555	276
7	1560	276
8	1560	276
9	1560	276

Stop Event

1×	done
1×	saturated
1×	node limit

Compiler

Compiled 61 to 36 computations (41% saved)

preprocess31.0ms (1.5%)

Remove: (sort y z)
Compiler: Compiled 132 to 90 computations (31.8% saved)

Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

analyze0.0ms (0%)

sample595.0ms (28.5%)

preprocess100.0ms (4.8%)

explain59.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify30.0ms (1.4%)

localize24.0ms (1.2%)

series10.0ms (0.5%)

rewrite244.0ms (11.7%)

simplify247.0ms (11.8%)

eval31.0ms (1.5%)

prune37.0ms (1.8%)

simplify7.0ms (0.3%)

localize21.0ms (1%)

series3.0ms (0.1%)

rewrite70.0ms (3.4%)

simplify80.0ms (3.8%)

eval8.0ms (0.4%)

prune11.0ms (0.5%)

regimes32.0ms (1.6%)

regimes6.0ms (0.3%)

regimes4.0ms (0.2%)

bsearch101.0ms (4.8%)

simplify5.0ms (0.2%)

soundness330.0ms (15.8%)

preprocess31.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	70
1	23	70
2	51	66
3	111	66
4	159	66
5	215	66
6	314	66
7	395	66
8	524	66
9	706	66
10	792	66
11	804	66

Iter	Nodes	Cost
0	13	70
1	23	70
2	51	66
3	111	66
4	159	66
5	215	66
6	314	66
7	395	66
8	524	66
9	706	66
10	792	66
11	804	66

Iter	Nodes	Cost
0	13	70
1	23	70
2	51	66
3	111	66
4	159	66
5	215	66
6	314	66
7	395	66
8	524	66
9	706	66
10	792	66
11	804	66