Metrics for Text.Parsec.Token:makeTokenParser from parsec-3.1.9, 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 9 to 6 computations (33.3% saved)

Precisions

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

ival-add: 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)

sample568.0ms (14.4%)

Results

376.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-add: 80.0ms (51.6% of total)

ival-mult: 66.0ms (42.6% of total)

const: 7.0ms (4.5% of total)

backward-pass: 2.0ms (1.3% of total)

Bogosity

preprocess85.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

307×	`fma-define`
258×	`fma-neg`
99×	`distribute-lft-in`
92×	`distribute-rgt-in`
87×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	254
1	65	246
2	164	246
3	589	246
4	1148	246
5	1621	246
6	1721	246
7	1738	246

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 (neg.f64 x) y) z)
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 (+.f64 x (neg.f64 y)) z)
(*.f64 z (-.f64 x y))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 y) x))
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) z))
(*.f64 z (-.f64 x y))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) z))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(neg.f64 (*.f64 (+.f64 x y) (neg.f64 z)))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 z y) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 x z) y)
(*.f64 y (+.f64 x z))

Symmetry

(negabs z)

(sort x y)

explain43.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

28.0ms

512×

valid

Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions

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

ival-mult: 4.0ms (52.3% of total)

ival-add: 3.0ms (39.2% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify26.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) z)

Rules

4×	`fma-define`
3×	`*-commutative`
2×	`distribute-rgt-in`
2×	`distribute-lft-in`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	13	47
2	21	47
3	28	47

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z

Outputs
(*.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z

localize18.0ms (0.5%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) z)

Results

13.0ms

256×

valid

Compiler

Compiled 15 to 6 computations (60% saved)

Precisions

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

ival-add: 2.0ms (52% of total)

ival-mult: 2.0ms (52% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Counts

2 → 54

Calls

Call 1

Inputs
#<alt (*.f64 (+.f64 x y) z)>
#<alt (+.f64 x y)>

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

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (+ x y) z)
1.0ms	z	@	0	(* (+ x y) z)
1.0ms	x	@	-inf	(* (+ x y) z)
0.0ms	z	@	inf	(* (+ x y) z)
0.0ms	y	@	inf	(* (+ x y) z)

rewrite263.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log1p-expm1-u`
568×	`expm1-log1p-u`
482×	`unpow-prod-down`
455×	`prod-diff`
278×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	116	35
2	1522	35

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) z)
(+.f64 x y)

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

simplify185.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

577×	`fma-neg`
467×	`distribute-lft-neg-in`
393×	`distribute-rgt-neg-in`
335×	`fma-define`
318×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	4089
1	554	4035
2	1482	3966
3	5020	3084

Stop Event

1×	node limit

Counts

148 → 123

Calls

Call 1

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

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

eval78.0ms (2%)

Compiler: Compiled 1351 to 373 computations (72.4% saved)

prune21.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	116	7	123
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	8	124

Accuracy

100.0%

Counts

124 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(fma.f64 z y (*.f64 z x))
▶	99.2%	(fma.f64 z x (*.f64 z y))
▶	98.0%	(+.f64 (.f64 z y) (.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
▶	52.4%	(*.f64 z x)
	92.9%	(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
▶	56.8%	(*.f64 y z)
▶	90.3%	(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))

Compiler

Compiled 136 to 81 computations (40.4% saved)

simplify178.0ms (4.5%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 z (/.f64 (*.f64 y z) x))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(/.f64 (*.f64 y z) x)
✓	cost-diff	256	(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	128	(+.f64 (.f64 z y) (.f64 z x))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	6400	(fma.f64 z x (*.f64 z y))

Rules

1027×	`fma-define`
768×	`associate-/r*`
760×	`times-frac`
580×	`associate-/l/`
427×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	249
1	33	245
2	56	245
3	80	245
4	104	245
5	128	245
6	274	245
7	704	245
8	2990	245
9	3718	245
10	4314	245
11	4764	245
12	4888	245
13	5041	245
14	6831	245
15	6975	245
16	7321	245
17	7924	245

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 z x (*.f64 z y))
z
x
(*.f64 z y)
y
(*.f64 y z)
y
z
(*.f64 z x)
z
x
(+.f64 (.f64 z y) (.f64 z x))
(*.f64 z y)
z
y
(*.f64 z x)
x
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
x
(+.f64 z (/.f64 (*.f64 y z) x))
z
(/.f64 (*.f64 y z) x)
(*.f64 y z)
y

Outputs
(fma.f64 z x (*.f64 z y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
z
x
(*.f64 z y)
y
(*.f64 y z)
(*.f64 z y)
y
z
(*.f64 z x)
z
x
(+.f64 (.f64 z y) (.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z y)
z
y
(*.f64 z x)
x
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
x
(+.f64 z (/.f64 (*.f64 y z) x))
(+.f64 z (*.f64 y (/.f64 z x)))
(fma.f64 y (/.f64 z x) z)
(fma.f64 z (/.f64 y x) z)
z
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(*.f64 z (/.f64 y x))
(*.f64 y z)
(*.f64 z y)
y

localize268.0ms (6.8%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(+.f64 z (/.f64 (*.f64 y z) x))
✓	accuracy	91.0%	(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
✓	accuracy	90.4%	(/.f64 (*.f64 y z) x)
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	98.2%	(+.f64 (.f64 z y) (.f64 z x))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.2%	(fma.f64 z x (*.f64 z y))

Results

253.0ms

256×

valid

Compiler

Compiled 69 to 12 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 7.0ms (44.4% of total)

ival-div: 3.0ms (19% of total)

ival-fma: 3.0ms (19% of total)

ival-add: 2.0ms (12.7% of total)

const: 0.0ms (0% of total)

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

series23.0ms (0.6%)

Counts

8 → 180

Calls

Call 1

Inputs
#<alt (fma.f64 z x (*.f64 z y))>
#<alt (*.f64 z y)>
#<alt (*.f64 y z)>
#<alt (*.f64 z x)>
#<alt (+.f64 (.f64 z y) (.f64 z x))>
#<alt (.f64 x (+.f64 z (/.f64 (.f64 y z) x)))>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>

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

Calls

63 calls:

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

rewrite295.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`log1p-expm1-u`
814×	`expm1-log1p-u`
663×	`fma-define`
315×	`fma-neg`
200×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	176
1	268	168
2	3537	168

Stop Event

1×	node limit

Counts

8 → 322

Calls

Call 1

Inputs
(fma.f64 z x (*.f64 z y))
(*.f64 z y)
(*.f64 y z)
(*.f64 z x)
(+.f64 (.f64 z y) (.f64 z x))
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(/.f64 (*.f64 y z) x)
(+.f64 z (/.f64 (*.f64 y z) x))

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

simplify236.0ms (6%)

Algorithm

1×	egg-herbie

Rules

536×	`distribute-lft-neg-in`
518×	`distribute-rgt-neg-in`
488×	`fma-neg`
344×	`associate-r`
297×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	551	14062
1	1277	13704
2	4038	13648

Stop Event

1×	node limit

Counts

502 → 314

Calls

Call 1

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

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

eval54.0ms (1.4%)

Compiler: Compiled 4629 to 794 computations (82.8% saved)

prune49.0ms (1.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	338	2	340
Fresh	2	0	2
Picked	1	4	5
Done	0	1	1
Total	341	7	348

Accuracy

100.0%

Counts

348 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 z x (*.f64 z y))
✓	98.0%	(+.f64 (.f64 z y) (.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
✓	52.4%	(*.f64 z x)
▶	92.9%	(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
✓	56.8%	(*.f64 y z)
▶	86.4%	(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))

Compiler

Compiled 63 to 39 computations (38.1% saved)

simplify168.0ms (4.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 z (/.f64 (*.f64 z x) y))
	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(/.f64 (*.f64 z x) y)
✓	cost-diff	256	(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
✓	cost-diff	-6272	(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 y x))
✓	cost-diff	256	(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))

Rules

1838×	`fma-define`
949×	`cube-prod`
549×	`swap-sqr`
404×	`associate-*r/`
364×	`distribute-lft-out`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	225
1	46	221
2	97	218
3	212	218
4	370	190
5	984	190
6	2987	190
7	4092	190
8	4273	190
9	4718	190
10	5235	190
11	5954	190
12	6665	190

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
x
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
z
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
y
(+.f64 z (/.f64 (*.f64 z x) y))
z
(/.f64 (*.f64 z x) y)
(*.f64 z x)
x

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

localize52.0ms (1.3%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(+.f64 z (/.f64 (*.f64 z x) y))
✓	accuracy	94.0%	(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
✓	accuracy	91.7%	(/.f64 (*.f64 z x) y)
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	95.5%	(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	accuracy	91.0%	(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))

Results

33.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 9.0ms (55.9% of total)

ival-div: 4.0ms (24.8% of total)

ival-add: 3.0ms (18.6% of total)

const: 0.0ms (0% of total)

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

series23.0ms (0.6%)

Counts

7 → 171

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(* y (+ z (/ (* z x) y)))
1.0ms	z	@	0	(* x (* z (+ 1 (/ y x))))
1.0ms	z	@	-inf	(* y (+ z (/ (* z x) y)))
1.0ms	z	@	0	(* y (+ z (/ (* z x) y)))
1.0ms	y	@	-inf	(* y (+ z (/ (* z x) y)))

rewrite192.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`log1p-expm1-u`
934×	`expm1-log1p-u`
635×	`fma-define`
257×	`fma-neg`
139×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	190
1	277	182
2	4246	180

Stop Event

1×	node limit

Counts

7 → 404

Calls

Call 1

Inputs
(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 y x)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 z (/.f64 (*.f64 z x) y))

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

simplify211.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

456×	`fma-neg`
415×	`associate-r`
392×	`associate-l`
323×	`exp-prod`
316×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	758	15955
1	1728	15494
2	5056	15402

Stop Event

1×	node limit

Counts

575 → 488

Calls

Call 1

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

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

eval59.0ms (1.5%)

Compiler: Compiled 7410 to 1450 computations (80.4% saved)

prune67.0ms (1.7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	500	1	501
Fresh	0	0	0
Picked	0	2	2
Done	1	4	5
Total	501	7	508

Accuracy

100.0%

Counts

508 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(+.f64 (.f64 z y) (.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
✓	52.4%	(*.f64 z x)
✓	92.9%	(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
▶	92.8%	(.f64 y (+.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))))
✓	56.8%	(*.f64 y z)
✓	86.4%	(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))

Compiler

Compiled 68 to 43 computations (36.8% saved)

simplify175.0ms (4.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z))
✓	cost-diff	384	(.f64 y (+.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))))

Rules

1969×	`fma-define`
641×	`cube-prod`
392×	`associate-/r/`
391×	`*-commutative`
342×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	147
1	35	129
2	78	107
3	175	107
4	309	107
5	1070	107
6	2324	107
7	3235	107
8	4010	107
9	4960	107
10	5303	107
11	5743	107
12	6389	107
13	6692	107
14	6845	107

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 y (+.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))))
y
(+.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z)))
z
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 x z)
x

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

localize34.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	100.0%	(+.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z)))
✓	accuracy	94.0%	(.f64 y (+.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))))
✓	accuracy	91.6%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z))

Results

25.0ms

256×

valid

Compiler

Compiled 41 to 10 computations (75.6% saved)

Precisions

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

ival-mult: 5.0ms (54.9% of total)

ival-div: 2.0ms (21.9% of total)

ival-add: 1.0ms (11% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Counts

5 → 108

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(/ 1 y)
0.0ms	y	@	0	(* y (+ z (* (/ 1 y) (* x z))))
0.0ms	z	@	-inf	(* y (+ z (* (/ 1 y) (* x z))))
0.0ms	x	@	-inf	(* y (+ z (* (/ 1 y) (* x z))))
0.0ms	y	@	-inf	(* y (+ z (* (/ 1 y) (* x z))))

rewrite138.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

993×	`log1p-expm1-u`
993×	`expm1-log1p-u`
547×	`log-prod`
349×	`fma-define`
164×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	116
1	196	108
2	2790	108

Stop Event

1×	node limit

Counts

5 → 215

Calls

Call 1

Inputs
(.f64 y (+.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z))
(/.f64 #s(literal 1 binary64) y)
(*.f64 x z)
(+.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z)))

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

simplify149.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

541×	`cancel-sign-sub-inv`
416×	`fma-neg`
386×	`distribute-lft-neg-in`
354×	`distribute-rgt-neg-in`
292×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	504	9388
1	1176	9070
2	3814	9019

Stop Event

1×	node limit

Counts

323 → 282

Calls

Call 1

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

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

eval38.0ms (1%)

Compiler: Compiled 4366 to 960 computations (78% saved)

prune39.0ms (1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	282	0	282
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	282	7	289

Accuracy

100.0%

Counts

289 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(+.f64 (.f64 z y) (.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
✓	52.4%	(*.f64 z x)
✓	92.9%	(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
✓	92.8%	(.f64 y (+.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))))
✓	56.8%	(*.f64 y z)
✓	86.4%	(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))

Compiler

Compiled 148 to 73 computations (50.7% saved)

regimes19.0ms (0.5%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 y z)
(*.f64 z x)
(*.f64 (+.f64 x y) z)
(+.f64 (.f64 z y) (.f64 z x))
(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
(.f64 y (+.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 z x))

Outputs
(*.f64 (+.f64 x y) z)

Calls

5 calls:

4.0ms	(+.f64 x y)
4.0ms	x
4.0ms	y
4.0ms	z
4.0ms	(*.f64 (+.f64 x y) z)

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
(*.f64 y z)
(*.f64 z x)

Outputs
(*.f64 z x)
(*.f64 y z)

Calls

3 calls:

3.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
86.0%	2	`x`
87.6%	2	`y`
65.5%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 y z)

Outputs
(*.f64 y z)

Calls

3 calls:

1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
56.8%	1	`z`
56.8%	1	`x`
56.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch8.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.4084162545475464e-20	4.223561175816787e-19

Results

4.0ms

96×

valid

Compiler

Compiled 98 to 70 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add: 1.0ms (71.2% of total)

ival-mult: 1.0ms (71.2% of total)

const: 0.0ms (0% of total)

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

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	73
1	23	73

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) z)
(if (<=.f64 y #s(literal 571152654438831/2596148429267413814265248164610048 binary64)) (.f64 z x) (.f64 y z))
(*.f64 y z)

Outputs
(*.f64 (+.f64 x y) z)
(if (<=.f64 y #s(literal 571152654438831/2596148429267413814265248164610048 binary64)) (.f64 z x) (.f64 y z))
(if (<=.f64 y #s(literal 571152654438831/2596148429267413814265248164610048 binary64)) (.f64 x z) (.f64 y z))
(*.f64 y z)

soundness118.0ms (3%)

Rules

577×	`fma-neg`
467×	`distribute-lft-neg-in`
393×	`distribute-rgt-neg-in`
335×	`fma-define`
318×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	4089
1	554	4035
2	1482	3966
3	5020	3084

Stop Event

1×	done
1×	node limit

Compiler

Compiled 30 to 15 computations (50% saved)

preprocess27.0ms (0.7%)

Remove

(sort x y)

(negabs z)

Compiler

Compiled 154 to 90 computations (41.6% saved)

analyze0.0ms (0%)

sample568.0ms (14.4%)

preprocess85.0ms (2.1%)

explain43.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.7%)

localize18.0ms (0.5%)

series8.0ms (0.2%)

rewrite263.0ms (6.7%)

simplify185.0ms (4.7%)

eval78.0ms (2%)

prune21.0ms (0.5%)

simplify178.0ms (4.5%)

localize268.0ms (6.8%)

series23.0ms (0.6%)

rewrite295.0ms (7.5%)

simplify236.0ms (6%)

eval54.0ms (1.4%)

prune49.0ms (1.3%)

simplify168.0ms (4.3%)

localize52.0ms (1.3%)

series23.0ms (0.6%)

rewrite192.0ms (4.9%)

simplify211.0ms (5.4%)

eval59.0ms (1.5%)

prune67.0ms (1.7%)

simplify175.0ms (4.4%)

localize34.0ms (0.9%)

series7.0ms (0.2%)

rewrite138.0ms (3.5%)

simplify149.0ms (3.8%)

eval38.0ms (1%)

prune39.0ms (1%)

regimes19.0ms (0.5%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch8.0ms (0.2%)

simplify2.0ms (0.1%)

soundness118.0ms (3%)

preprocess27.0ms (0.7%)

end0.0ms (0%)

Profiling