Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, B

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)

sample841.0ms (25.9%)

Results

432.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-mult: 128.0ms (66% of total)

ival-sub: 53.0ms (27.3% of total)

const: 11.0ms (5.7% of total)

backward-pass: 2.0ms (1% of total)

Bogosity

preprocess89.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

835×	`fma-define`
358×	`fma-neg`
87×	`unsub-neg`
81×	`associate-r`
78×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	332
1	85	296
2	199	296
3	522	296
4	1018	296
5	1664	296
6	2237	296
7	2243	296
8	2243	296

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) y) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) (neg.f64 y)) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (neg.f64 z))
(neg.f64 (-.f64 (.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) y) z))
(neg.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) (neg.f64 y)) z))
(neg.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (neg.f64 z)))
(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (.f64 (.f64 z #s(literal 3 binary64)) y) x)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) z) y)

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(neg.f64 (fma.f64 x (*.f64 y #s(literal -3 binary64)) z))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(neg.f64 (fma.f64 x (*.f64 y #s(literal -3 binary64)) z))
(-.f64 (.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) y) z)
(-.f64 (.f64 y (.f64 #s(literal 3 binary64) (neg.f64 x))) z)
(-.f64 (.f64 y (.f64 x #s(literal -3 binary64))) z)
(-.f64 (.f64 x (.f64 y #s(literal -3 binary64))) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) (neg.f64 y)) z)
(-.f64 (.f64 y (.f64 #s(literal 3 binary64) (neg.f64 x))) z)
(-.f64 (.f64 y (.f64 x #s(literal -3 binary64))) z)
(-.f64 (.f64 x (.f64 y #s(literal -3 binary64))) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (neg.f64 z))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(neg.f64 (-.f64 (.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) y) z))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(neg.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) (neg.f64 y)) z))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(neg.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (neg.f64 z)))
(-.f64 (.f64 y (.f64 #s(literal 3 binary64) (neg.f64 x))) z)
(-.f64 (.f64 y (.f64 x #s(literal -3 binary64))) z)
(-.f64 (.f64 x (.f64 y #s(literal -3 binary64))) z)
(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(neg.f64 (fma.f64 x (*.f64 y #s(literal -3 binary64)) z))
(-.f64 (.f64 (.f64 z #s(literal 3 binary64)) y) x)
(-.f64 (.f64 z (.f64 #s(literal 3 binary64) y)) x)
(-.f64 (.f64 y (.f64 #s(literal 3 binary64) z)) x)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) z) y)

Symmetry

(sort x y)

explain150.0ms (4.6%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`z`
-	-	`(*.f64 x #s(literal 3 binary64))`
-	-	`#s(literal 3 binary64)`
-	-	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
-	-	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
-	-	`y`

Results

117.0ms

512×

valid

Compiler

Compiled 56 to 35 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 89.0ms (95.2% of total)

ival-sub: 3.0ms (3.2% of total)

const: 1.0ms (1.1% of total)

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

eval1.0ms (0%)

Compiler: Compiled 24 to 15 computations (37.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	99.4%	(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)

Compiler

Compiled 20 to 14 computations (30% saved)

localize77.0ms (2.4%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	100.0%	(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
✓	99.3%	(.f64 x (.f64 #s(literal 3 binary64) y))

Results

44.0ms

256×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 17.0ms (73.2% of total)

ival-sub: 5.0ms (21.5% of total)

const: 1.0ms (4.3% of total)

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

series13.0ms (0.4%)

Counts

4 → 120

Calls

Call 1

Inputs
#<alt (.f64 x (.f64 #s(literal 3 binary64) y))>
#<alt (-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)>
#<alt (.f64 (.f64 x #s(literal 3 binary64)) y)>
#<alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)>

Outputs
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))>

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(- (* (* x 3) y) z)
1.0ms	y	@	0	(* x (* 3 y))
1.0ms	x	@	0	(* x (* 3 y))
1.0ms	z	@	-inf	(- (* (* x 3) y) z)
1.0ms	x	@	inf	(* x (* 3 y))

rewrite264.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`prod-diff`
769×	`log1p-expm1-u`
769×	`expm1-log1p-u`
444×	`log-prod`
317×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	94
1	216	94
2	2169	94

Stop Event

1×	node limit

Counts

4 → 310

Calls

Call 1

Inputs
(.f64 x (.f64 #s(literal 3 binary64) y))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Outputs
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 3 binary64) (.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 3 binary64) (.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x y)))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 3 binary64) (.f64 x y))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x y))))
(exp.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (neg.f64 z))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (+.f64 (neg.f64 z) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 #s(literal -1 binary64) z z))
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(fma.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) (neg.f64 z))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) (neg.f64 z))) (+.f64 (neg.f64 z) z))
(fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) y)) (.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x) (neg.f64 z))
(fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) y)) (.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) y)) x) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 3 binary64))) (.f64 (sqrt.f64 (*.f64 x #s(literal 3 binary64))) y) (neg.f64 z))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 3 binary64))) (.f64 (sqrt.f64 (.f64 x #s(literal 3 binary64))) y) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (neg.f64 z))
(fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 x #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (.f64 #s(literal 3 binary64) (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (pow.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (pow.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (pow.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))) (+.f64 (neg.f64 z) z))
(fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(fma.f64 (.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (.f64 #s(literal 3 binary64) (.f64 x y)))
(fma.f64 #s(literal -1 binary64) z (.f64 #s(literal 3 binary64) (.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (+.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (.f64 #s(literal 3 binary64) y)) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 3 binary64) y))) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 3 binary64) y))) (sqrt.f64 (.f64 #s(literal 3 binary64) y)) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (.f64 y x) #s(literal 3 binary64) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 y (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (.f64 y (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 y (sqrt.f64 (.f64 x #s(literal 3 binary64)))) (sqrt.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (.f64 y (sqrt.f64 (.f64 x #s(literal 3 binary64)))) (sqrt.f64 (.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 z))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 z))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 z))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))

simplify244.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

365×	`div-sub`
330×	`times-frac`
317×	`fma-neg`
264×	`unsub-neg`
245×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	331	13666
1	724	13570
2	2001	13570
3	6210	13570

Stop Event

1×	node limit

Counts

430 → 193

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(*.f64 #s(literal -1 binary64) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) z)
(.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(*.f64 #s(literal -1 binary64) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) z)
(.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 3 binary64) (.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 3 binary64) (.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x y)))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 3 binary64) (.f64 x y))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x y))))
(exp.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (neg.f64 z))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (+.f64 (neg.f64 z) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 #s(literal -1 binary64) z z))
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(fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) y)) (.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x) (neg.f64 z))
(fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) y)) (.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) y)) x) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 3 binary64))) (.f64 (sqrt.f64 (*.f64 x #s(literal 3 binary64))) y) (neg.f64 z))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 3 binary64))) (.f64 (sqrt.f64 (.f64 x #s(literal 3 binary64))) y) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (neg.f64 z))
(fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 x #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (.f64 #s(literal 3 binary64) (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (pow.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (pow.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (pow.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))) (+.f64 (neg.f64 z) z))
(fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(fma.f64 (.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (.f64 #s(literal 3 binary64) (.f64 x y)))
(fma.f64 #s(literal -1 binary64) z (.f64 #s(literal 3 binary64) (.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (+.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (.f64 #s(literal 3 binary64) y)) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 3 binary64) y))) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 3 binary64) y))) (sqrt.f64 (.f64 #s(literal 3 binary64) y)) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (.f64 y x) #s(literal 3 binary64) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 y (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (.f64 y (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 y (sqrt.f64 (.f64 x #s(literal 3 binary64)))) (sqrt.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (.f64 y (sqrt.f64 (.f64 x #s(literal 3 binary64)))) (sqrt.f64 (.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 z))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 z))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 z))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))

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

eval43.0ms (1.3%)

Compiler: Compiled 2856 to 1544 computations (45.9% saved)

prune136.0ms (4.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	190	3	193
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	190	5	195

Accuracy

100.0%

Counts

195 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	99.4%	(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
▶	99.8%	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
▶	39.9%	(neg.f64 z)

Compiler

Compiled 45 to 32 computations (28.9% saved)

localize49.0ms (1.5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.7%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
✓	100.0%	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 x y))

Results

36.0ms

256×

valid

Compiler

Compiled 42 to 16 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 10.0ms (56% of total)

ival-fma: 4.0ms (22.4% of total)

ival-neg: 2.0ms (11.2% of total)

ival-sub: 1.0ms (5.6% of total)

const: 1.0ms (5.6% of total)

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

series23.0ms (0.7%)

Counts

3 → 66

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))>

Outputs
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z)))))>

Calls

24 calls:

Time	Variable		Point	Expression
10.0ms	y	@	0	(- (* 3 (* x y)) z)
8.0ms	z	@	inf	(- (* 3 (* x y)) z)
0.0ms	x	@	inf	(- (* 3 (* x y)) z)
0.0ms	y	@	inf	(- (* 3 (* x y)) z)
0.0ms	x	@	inf	(+ (* (* y x) 3) (neg z))

rewrite147.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`prod-diff`
662×	`log1p-expm1-u`
662×	`expm1-log1p-u`
373×	`log-prod`
187×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	75
1	207	67
2	2203	67

Stop Event

1×	node limit

Counts

3 → 329

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (.f64 x y))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))

Outputs
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 3 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 3 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 3 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 3 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 3 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 #s(literal 3 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 #s(literal 3 binary64) x)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal 3 binary64) x))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal 3 binary64) x))))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal 3 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal 3 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal 3 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 #s(literal 3 binary64) x)))) #s(literal 2 binary64)))
(+.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) z)
(+.f64 z (.f64 y (.f64 #s(literal 3 binary64) x)))
(+.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (+.f64 z z))
(+.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (fma.f64 #s(literal -1 binary64) z z))
(+.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (fma.f64 #s(literal 1 binary64) z z))
(+.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) z))
(+.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 z) z))
(+.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (fma.f64 z #s(literal -1 binary64) z))
(+.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)) z))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) (neg.f64 (.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) (neg.f64 (.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) (neg.f64 (.f64 (cbrt.f64 z) (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (.f64 (cbrt.f64 z) (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) (neg.f64 (.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(+.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) (neg.f64 (.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) (neg.f64 (.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) (neg.f64 (.f64 (cbrt.f64 z) (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (.f64 (cbrt.f64 z) (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) (neg.f64 (.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(+.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) (neg.f64 (.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) (neg.f64 (.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) (neg.f64 (.f64 (cbrt.f64 z) (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (.f64 (cbrt.f64 z) (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) (neg.f64 (.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(+.f64 (fma.f64 (.f64 x y) #s(literal 3 binary64) (neg.f64 (.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z) (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z)))
(pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 y (.f64 #s(literal 3 binary64) x) z) (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) (pow.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z) #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (*.f64 #s(literal 3 binary64) x)))) (exp.f64 z)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (*.f64 #s(literal 3 binary64) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (exp.f64 z) (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 3 binary64))))
(log.f64 (.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (*.f64 #s(literal 3 binary64) x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 3 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (*.f64 #s(literal 3 binary64) x))))))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 #s(literal 3 binary64) x)))) (exp.f64 z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 #s(literal 3 binary64) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(hypot.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) z)
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 y (.f64 #s(literal 3 binary64) x) z))) #s(literal 2 binary64)))

simplify187.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

529×	`associate-/l*`
365×	`distribute-lft-in`
348×	`distribute-rgt-in`
314×	`associate-+r+`
294×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	458	11866
1	1052	11666
2	2754	11592

Stop Event

1×	node limit

Counts

395 → 257

Calls

Call 1

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

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

eval64.0ms (2%)

Compiler: Compiled 5272 to 2889 computations (45.2% saved)

prune40.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	255	2	257
Fresh	0	0	0
Picked	1	2	3
Done	1	1	2
Total	257	5	262

Accuracy

100.0%

Counts

262 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	61.9%	(.f64 (.f64 #s(literal 3 binary64) y) x)
▶	61.9%	(.f64 #s(literal 3 binary64) (.f64 x y))
✓	39.9%	(neg.f64 z)

Compiler

Compiled 41 to 30 computations (26.8% saved)

localize38.0ms (1.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.3%	(.f64 (.f64 #s(literal 3 binary64) y) x)
	99.7%	(.f64 #s(literal 3 binary64) (.f64 x y))

Results

29.0ms

256×

valid

Compiler

Compiled 26 to 14 computations (46.2% saved)

Precisions

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

ival-mult: 11.0ms (92.5% of total)

const: 1.0ms (8.4% of total)

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

series3.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (.f64 (.f64 #s(literal 3 binary64) y) x)>

Outputs
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* (* 3 y) x)
0.0ms	y	@	inf	(* (* 3 y) x)
0.0ms	x	@	inf	(* (* 3 y) x)
0.0ms	y	@	-inf	(* (* 3 y) x)
0.0ms	x	@	-inf	(* (* 3 y) x)

rewrite64.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

396×	`unpow-prod-down`
364×	`log1p-expm1-u`
364×	`expm1-log1p-u`
347×	`add-exp-log`
334×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	88	19
2	1012	19

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) y) x)

Outputs
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 3 binary64) (.f64 y x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) x))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 y x))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 3 binary64) (.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (.f64 y x))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 y x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))) (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) x))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))
(exp.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (*.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (*.f64 y x)))) #s(literal 2 binary64)))

simplify99.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

555×	`div-sub`
409×	`distribute-lft-in`
395×	`distribute-rgt-in`
315×	`associate-r`
310×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	1015
1	130	1015
2	256	1015
3	598	1005
4	1398	997
5	4068	997
6	6498	997

Stop Event

1×	node limit

Counts

45 → 34

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 3 binary64) (.f64 y x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) x))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 y x))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 3 binary64) (.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (.f64 y x))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 y x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))) (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) x))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))
(exp.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (*.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (*.f64 y x)))) #s(literal 2 binary64)))

Outputs
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 3 binary64) (.f64 y x)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) x))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 3 binary64) x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) x))) (log.f64 (pow.f64 (exp.f64 y) x)))
(+.f64 (*.f64 x y) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) x))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) x))) #s(literal 2 binary64))
(.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal 3 binary64) x)))) #s(literal 2 binary64))
(.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x (*.f64 #s(literal 3 binary64) y))))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 y x))) #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (.f64 #s(literal 3 binary64) (.f64 y x)) #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (.f64 y x))) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 y x))) #s(literal 2 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (E.f64) (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))) (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y))))) (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) x))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(expm1.f64 (log1p.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(log1p.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(exp.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (*.f64 y x)))) #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 #s(literal 3 binary64) (.f64 y x)))) #s(literal 1/3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (*.f64 y x)))) #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))

eval12.0ms (0.4%)

Compiler: Compiled 614 to 400 computations (34.9% saved)

prune14.0ms (0.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	58	5	63

Accuracy

100.0%

Counts

63 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	61.9%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	61.9%	(.f64 #s(literal 3 binary64) (.f64 x y))
✓	39.9%	(neg.f64 z)

Compiler

Compiled 84 to 54 computations (35.7% saved)

regimes19.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

Inputs
(neg.f64 z)
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Calls

6 calls:

4.0ms	z
3.0ms	(*.f64 x #s(literal 3 binary64))
3.0ms	x
3.0ms	y
3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.8%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.8%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes13.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

Inputs
(neg.f64 z)
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)

Outputs
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)

Calls

3 calls:

8.0ms	y
3.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.5%)

Counts

3 → 3

Calls

Call 1

Inputs
(neg.f64 z)
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 3 binary64) y) x)

Outputs
(.f64 #s(literal 3 binary64) (.f64 x y))
(neg.f64 z)
(.f64 #s(literal 3 binary64) (.f64 x y))

Calls

3 calls:

6.0ms	y
4.0ms	x
4.0ms	z

Results

Accuracy	Segments	Branch
79.8%	3	`x`
77.8%	3	`y`
70.8%	5	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 z)

Outputs
(neg.f64 z)

Calls

3 calls:

0.0ms	z
0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
39.9%	1	`z`
39.9%	1	`y`
39.9%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch32.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.2890720247048605e-115	5.2503120027302225e-95
14.0ms	-2.5018509596202954e-41	-6.029791917204773e-50

Results

19.0ms

320×

valid

Compiler

Compiled 316 to 252 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (66.7% of total)

ival-sub: 2.0ms (26.7% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative`
3×	`sub-neg`
3×	`+-commutative`
2×	`if-if-or-not`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	122
1	42	122
2	46	122
3	47	122

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(if (<=.f64 x #s(literal -2259756624739205/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)) (if (<=.f64 x #s(literal 745154980294969/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (neg.f64 z) (.f64 #s(literal 3 binary64) (.f64 x y))))
(neg.f64 z)

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(if (<=.f64 x #s(literal -2259756624739205/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)) (if (<=.f64 x #s(literal 745154980294969/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (neg.f64 z) (.f64 #s(literal 3 binary64) (.f64 x y))))
(if (or (<=.f64 x #s(literal -2259756624739205/12554203470773361527671578846415332832204710888928069025792 binary64)) (not (<=.f64 x #s(literal 745154980294969/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)))) (.f64 #s(literal 3 binary64) (.f64 x y)) (neg.f64 z))
(neg.f64 z)

soundness509.0ms (15.7%)

Rules

835×	`fma-define`
365×	`div-sub`
358×	`fma-neg`
330×	`times-frac`
317×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	331	13666
1	724	13570
2	2001	13570
3	6210	13570
0	34	332
1	85	296
2	199	296
3	522	296
4	1018	296
5	1664	296
6	2237	296
7	2243	296
8	2243	296

Stop Event

1×	done
1×	saturated
1×	node limit

Compiler

Compiled 60 to 38 computations (36.7% saved)

preprocess51.0ms (1.6%)

Compiler: Compiled 170 to 112 computations (34.1% saved)

Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, B

analyze0.0ms (0%)

sample841.0ms (25.9%)

preprocess89.0ms (2.7%)

explain150.0ms (4.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize77.0ms (2.4%)

series13.0ms (0.4%)

rewrite264.0ms (8.1%)

simplify244.0ms (7.5%)

eval43.0ms (1.3%)

prune136.0ms (4.2%)

localize49.0ms (1.5%)

series23.0ms (0.7%)

rewrite147.0ms (4.5%)

simplify187.0ms (5.8%)

eval64.0ms (2%)

prune40.0ms (1.2%)

localize38.0ms (1.2%)

series3.0ms (0.1%)

rewrite64.0ms (2%)

simplify99.0ms (3.1%)

eval12.0ms (0.4%)

prune14.0ms (0.4%)

regimes19.0ms (0.6%)

regimes13.0ms (0.4%)

regimes15.0ms (0.5%)

regimes2.0ms (0.1%)

bsearch32.0ms (1%)

simplify4.0ms (0.1%)

soundness509.0ms (15.7%)

preprocess51.0ms (1.6%)

end0.0ms (0%)

Profiling