Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, 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 19 to 10 computations (47.4% saved)

Precisions

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

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

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)

sample1.6s (30.9%)

Results

595.0ms	5749×	0	valid
496.0ms	916×	2	valid
265.0ms	1591×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 795.0ms

ival-mult: 308.0ms (38.7% of total)

backward-pass: 200.0ms (25.2% of total)

ival-sub: 142.0ms (17.9% of total)

ival-add: 137.0ms (17.2% of total)

const: 7.0ms (0.9% of total)

Bogosity

preprocess132.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

906×	`fma-neg`
824×	`sub-neg`
339×	`distribute-lft-out`
329×	`distribute-lft-neg-in`
286×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	761
1	190	324
2	620	250
3	2072	250
4	5859	250
5	7345	250
6	7794	250

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (.f64 x y) (+.f64 (.f64 y z) (.f64 y y))))
(+.f64 (*.f64 y (-.f64 x z)) #s(literal 0 binary64))
(*.f64 y (-.f64 x z))
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (.f64 x y) (+.f64 (.f64 y z) (.f64 y y))))
(+.f64 (*.f64 y (-.f64 x z)) #s(literal 0 binary64))
(*.f64 y (-.f64 x z))
(+.f64 (-.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 y z)) (.f64 y y)))
(+.f64 (*.f64 (neg.f64 y) (+.f64 x z)) #s(literal 0 binary64))
(*.f64 (neg.f64 y) (+.f64 x z))
(*.f64 y (-.f64 (neg.f64 z) x))
(+.f64 (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y)))
(+.f64 (.f64 y y) (-.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 y z)) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 z x)) #s(literal 0 binary64))
(*.f64 y (-.f64 z x))
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 x (neg.f64 z))) #s(literal 0 binary64))
(*.f64 y (+.f64 x z))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y z)) (.f64 y y)) (.f64 y y)))
(+.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 x (neg.f64 z))) #s(literal 0 binary64))
(*.f64 y (+.f64 x z))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y))))
(+.f64 (.f64 y y) (-.f64 (.f64 x y) (+.f64 (.f64 y z) (.f64 y y))))
(+.f64 (*.f64 y (-.f64 x z)) #s(literal 0 binary64))
(*.f64 y (-.f64 x z))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)) (.f64 y y)))
(+.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 y z)) (.f64 y y)))
(+.f64 (*.f64 (neg.f64 y) (+.f64 x z)) #s(literal 0 binary64))
(*.f64 (neg.f64 y) (+.f64 x z))
(*.f64 y (-.f64 (neg.f64 z) x))
(+.f64 (-.f64 (-.f64 (.f64 y x) (.f64 x z)) (.f64 x x)) (.f64 x x))
(+.f64 (.f64 x x) (-.f64 (-.f64 (.f64 x y) (.f64 x z)) (.f64 x x)))
(+.f64 (*.f64 x (-.f64 y z)) #s(literal 0 binary64))
(*.f64 x (-.f64 y z))
(+.f64 (-.f64 (-.f64 (.f64 z y) (.f64 y x)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 y z)) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 z x)) #s(literal 0 binary64))
(*.f64 y (-.f64 z x))
(+.f64 (-.f64 (-.f64 (.f64 x z) (.f64 z y)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (-.f64 (.f64 x z) (+.f64 (.f64 y z) (.f64 z z))))
(+.f64 (*.f64 z (-.f64 x y)) #s(literal 0 binary64))
(*.f64 z (-.f64 x y))

Symmetry

(negabs y)

explain202.0ms (3.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
78	-	-	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
22	-	-	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`
5	-	-	`(-.f64 (.f64 x y) (.f64 y z))`
0	-	-	`x`
0	-	-	`(*.f64 y y)`
0	-	-	`(*.f64 y z)`
0	-	-	`y`
0	-	-	`(*.f64 x y)`
0	-	-	`z`

Results

97.0ms	46×	2	valid
33.0ms	370×	0	valid
17.0ms	96×	1	valid

Compiler

Compiled 116 to 29 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-sub: 91.0ms (79.7% of total)

ival-mult: 15.0ms (13.1% of total)

backward-pass: 4.0ms (3.5% of total)

ival-add: 3.0ms (2.6% of total)

const: 1.0ms (0.9% of total)

eval0.0ms (0%)

Compiler: Compiled 30 to 13 computations (56.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

190×	`fma-define`
96×	`fma-neg`
43×	`distribute-lft-in`
41×	`distribute-rgt-in`
32×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	15	47
2	26	47
3	46	47
4	77	47
5	114	47
6	186	47
7	308	47
8	550	47
9	685	47
10	751	47
11	753	47

Stop Event

1×

saturated

Calls

Call 1

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

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

localize18.0ms (0.4%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 y (-.f64 x 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-sub: 2.0ms (51.4% of total)

ival-mult: 2.0ms (51.4% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Counts

2 → 45

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(* y (- x z))
1.0ms	x	@	-inf	(* y (- x z))
1.0ms	y	@	0	(* y (- x z))
0.0ms	y	@	-inf	(* y (- x z))
0.0ms	x	@	inf	(* y (- x z))

rewrite407.0ms (7.8%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log1p-expm1-u`
577×	`expm1-log1p-u`
498×	`unpow-prod-down`
359×	`prod-diff`
356×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	117	35
2	1530	35

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

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

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

simplify185.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

840×	`fma-define`
425×	`distribute-lft-in`
413×	`div-sub`
404×	`distribute-rgt-in`
365×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	4611
1	675	4416
2	1884	4347
3	7273	4347

Stop Event

1×	node limit

Counts

175 → 177

Calls

Call 1

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

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

eval24.0ms (0.5%)

Compiler: Compiled 2127 to 493 computations (76.8% saved)

prune25.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	174	3	177
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	4	178

Accuracy

100.0%

Counts

178 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.5%	(.f64 z (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x z))))
▶	50.2%	(*.f64 z (neg.f64 y))
✓	100.0%	(*.f64 y (-.f64 x z))
▶	56.7%	(*.f64 y x)

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify491.0ms (9.4%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

1235×	`fma-neg`
931×	`fma-define`
560×	`times-frac`
492×	`associate-*r/`
449×	`associate-*l/`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	164
1	34	164
2	82	164
3	164	164
4	288	155
5	547	149
6	1289	149
7	3565	149
8	4982	149
9	5736	149
10	6097	149
11	6143	149
12	6173	149
13	7433	149
14	7701	149
15	7841	149
16	7967	149

Stop Event

1×	node limit

Calls

Call 1

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

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

localize63.0ms (1.2%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 x z))
✓	accuracy	94.7%	(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x z)))
✓	accuracy	91.8%	(.f64 z (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x z))))
✓	accuracy	100.0%	(*.f64 z (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(*.f64 y x)

Results

51.0ms

256×

valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

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

ival-mult: 11.0ms (67% of total)

ival-div: 2.0ms (12.2% of total)

ival-add: 1.0ms (6.1% of total)

ival-neg: 1.0ms (6.1% of total)

const: 0.0ms (0% of total)

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

series100.0ms (1.9%)

Counts

7 → 156

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
75.0ms	y	@	inf	(* y x)
2.0ms	z	@	-inf	(* z (* y (+ -1 (/ x z))))
1.0ms	y	@	0	(* z (* y (+ -1 (/ x z))))
1.0ms	y	@	-inf	(* y x)
1.0ms	x	@	0	(* z (* y (+ -1 (/ x z))))

rewrite305.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`log1p-expm1-u`
659×	`expm1-log1p-u`
617×	`log-prod`
368×	`prod-diff`
272×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	135
1	234	127
2	3319	125

Stop Event

1×	node limit

Counts

7 → 323

Calls

Call 1

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

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

simplify253.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

497×	`fma-neg`
447×	`cancel-sign-sub-inv`
366×	`associate-l`
332×	`associate-r`
307×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	624	12469
1	1268	11909
2	4165	10926

Stop Event

1×	node limit

Counts

479 → 402

Calls

Call 1

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

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

eval53.0ms (1%)

Compiler: Compiled 5082 to 1113 computations (78.1% saved)

prune234.0ms (4.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	402	0	402
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	402	4	406

Accuracy

100.0%

Counts

406 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.5%	(.f64 z (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x z))))
✓	50.2%	(*.f64 z (neg.f64 y))
✓	100.0%	(*.f64 y (-.f64 x z))
✓	56.7%	(*.f64 y x)

Compiler

Compiled 72 to 41 computations (43.1% saved)

regimes10.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 30 to 18 computations (40% saved)

regimes57.0ms (1.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	y
2.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
82.1%	3	`x`
59.9%	2	`y`
80.1%	3	`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 x)

Outputs
(*.f64 y x)

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
56.7%	1	`y`
56.7%	1	`z`
56.7%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch44.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	2.2595198256944041e-13	0.7949730569316952
19.0ms	-2.317106830864156e+21	-33140586516735492.0

Results

17.0ms	213×	0	valid
10.0ms	69×	1	valid
5.0ms	22×	2	valid

Compiler

Compiled 309 to 223 computations (27.8% saved)

Precisions

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

ival-mult: 10.0ms (57.1% of total)

ival-sub: 4.0ms (22.8% of total)

backward-pass: 2.0ms (11.4% of total)

ival-add: 2.0ms (11.4% of total)

const: 0.0ms (0% of total)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
3×	`neg-sub0`
3×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	96
1	40	96
2	50	96
3	56	96
4	58	96

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -54000000000000000 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 4555619344570199/9903520314283042199192993792 binary64)) (*.f64 z (neg.f64 y)) (*.f64 y x)))

(*.f64 y x)

Outputs
(*.f64 y (-.f64 x z))
(if (<=.f64 x #s(literal -54000000000000000 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 4555619344570199/9903520314283042199192993792 binary64)) (.f64 z (neg.f64 y)) (*.f64 y x)))
(if (or (<=.f64 x #s(literal -54000000000000000 binary64)) (not (<=.f64 x #s(literal 4555619344570199/9903520314283042199192993792 binary64)))) (.f64 y x) (.f64 z (neg.f64 y)))
(*.f64 y x)

soundness914.0ms (17.5%)

Rules

906×	`fma-neg`
840×	`fma-define`
824×	`sub-neg`
425×	`distribute-lft-in`
413×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	761
1	190	324
2	620	250
3	2072	250
4	5859	250
5	7345	250
6	7794	250
0	317	4611
1	675	4416
2	1884	4347
3	7273	4347

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 117 to 48 computations (59% saved)

preprocess31.0ms (0.6%)

Remove: (negabs y)
Compiler: Compiled 138 to 78 computations (43.5% saved)

Linear.Quaternion:$c/ from linear-1.19.1.3, B

analyze0.0ms (0%)

sample1.6s (30.9%)

preprocess132.0ms (2.5%)

explain202.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.6%)

localize18.0ms (0.4%)

series10.0ms (0.2%)

rewrite407.0ms (7.8%)

simplify185.0ms (3.5%)

eval24.0ms (0.5%)

prune25.0ms (0.5%)

simplify491.0ms (9.4%)

localize63.0ms (1.2%)

series100.0ms (1.9%)

rewrite305.0ms (5.9%)

simplify253.0ms (4.9%)

eval53.0ms (1%)

prune234.0ms (4.5%)

regimes10.0ms (0.2%)

regimes57.0ms (1.1%)

regimes4.0ms (0.1%)

bsearch44.0ms (0.9%)

simplify5.0ms (0.1%)

soundness914.0ms (17.5%)

preprocess31.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	47
1	15	47
2	26	47
3	46	47
4	77	47
5	114	47
6	186	47
7	308	47
8	550	47
9	685	47
10	751	47
11	753	47

Iter	Nodes	Cost
0	11	47
1	15	47
2	26	47
3	46	47
4	77	47
5	114	47
6	186	47
7	308	47
8	550	47
9	685	47
10	751	47
11	753	47

Iter	Nodes	Cost
0	11	47
1	15	47
2	26	47
3	46	47
4	77	47
5	114	47
6	186	47
7	308	47
8	550	47
9	685	47
10	751	47
11	753	47