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)

sample1.7s (27.1%)

Results

868.0ms	5685×	0	valid
356.0ms	1608×	1	valid
245.0ms	963×	2	valid

Precisions

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

ival-mult: 537.0ms (52% of total)

ival-add: 275.0ms (26.6% of total)

ival-sub: 159.0ms (15.4% of total)

backward-pass: 54.0ms (5.2% of total)

const: 8.0ms (0.8% of total)

Bogosity

preprocess148.0ms (2.3%)

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)

explain121.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
91	-	-	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
15	-	-	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`
7	-	-	`(-.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

36.0ms	362×	0	valid
26.0ms	66×	2	valid
15.0ms	84×	1	valid

Compiler

Compiled 116 to 29 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 21.0ms (51.6% of total)

ival-sub: 11.0ms (27% of total)

backward-pass: 4.0ms (9.8% of total)

ival-add: 4.0ms (9.8% of total)

const: 1.0ms (2.5% 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)

simplify69.0ms (1.1%)

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

localize20.0ms (0.3%)

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

15.0ms

256×

valid

Compiler

Compiled 15 to 6 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (60.2% of total)

ival-sub: 2.0ms (40.1% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

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
1.0ms	x	@	-inf	(* y (- x z))
1.0ms	y	@	0	(* y (- x z))
1.0ms	x	@	0	(* y (- x z))
0.0ms	x	@	inf	(* y (- x z))
0.0ms	y	@	-inf	(* y (- x z))

rewrite205.0ms (3.2%)

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)

simplify638.0ms (10%)

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)

eval20.0ms (0.3%)

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

prune44.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	173	4	177
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	173	5	178

Accuracy

100.0%

Counts

178 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 y x (*.f64 y (neg.f64 z)))
▶	97.2%	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
▶	54.8%	(*.f64 z (neg.f64 y))
✓	100.0%	(*.f64 y (-.f64 x z))
▶	53.4%	(*.f64 y x)

Compiler

Compiled 42 to 27 computations (35.7% saved)

simplify29.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 y (neg.f64 z))
✓	cost-diff	6464	(fma.f64 y x (*.f64 y (neg.f64 z)))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 y (neg.f64 z))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	192	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 z (neg.f64 y))
✓	cost-diff	0	(*.f64 y x)

Rules

165×	`fma-define`
124×	`fma-neg`
30×	`cancel-sign-sub-inv`
29×	`distribute-rgt-in`
25×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	193
1	34	185
2	54	185
3	81	185
4	121	185
5	177	185
6	311	185
7	480	185
8	608	185
9	674	185
10	686	185

Stop Event

1×

saturated

Calls

Call 1

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

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

localize202.0ms (3.2%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	98.8%	(fma.f64 y x (*.f64 y (neg.f64 z)))
✓	accuracy	100.0%	(*.f64 y (neg.f64 z))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	97.5%	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
✓	accuracy	100.0%	(*.f64 z (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(*.f64 y x)

Results

88.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-fma: 58.0ms (84.8% of total)

ival-mult: 6.0ms (8.8% of total)

ival-neg: 2.0ms (2.9% of total)

ival-add: 1.0ms (1.5% of total)

const: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Counts

7 → 168

Calls

Call 1

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

Calls

42 calls:

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

rewrite183.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`unpow-prod-down`
702×	`log1p-expm1-u`
702×	`expm1-log1p-u`
392×	`log-prod`
292×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	115
1	212	91
2	2929	91

Stop Event

1×	node limit

Counts

7 → 450

Calls

Call 1

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

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

simplify450.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

781×	`fma-neg`
522×	`prod-exp`
511×	`associate-l`
496×	`associate-r`
344×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	715	18497
1	1410	17178
2	5570	16846

Stop Event

1×	node limit

Counts

618 → 469

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

eval743.0ms (11.7%)

Compiler: Compiled 7728 to 1277 computations (83.5% saved)

prune338.0ms (5.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	577	1	578
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	578	5	583

Accuracy

100.0%

Counts

583 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 y x (*.f64 y (neg.f64 z)))
▶	97.2%	(-.f64 (.f64 y x) (.f64 y z))
✓	54.8%	(*.f64 z (neg.f64 y))
✓	100.0%	(*.f64 y (-.f64 x z))
✓	53.4%	(*.f64 y x)

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify25.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y z)
	cost-diff	0	(*.f64 y x)
✓	cost-diff	128	(-.f64 (.f64 y x) (.f64 y z))

Rules

192×	`fma-define`
134×	`fma-neg`
34×	`cancel-sign-sub-inv`
28×	`sub-neg`
23×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	24	60
2	41	60
3	60	60
4	96	60
5	148	60
6	259	60
7	426	60
8	618	60
9	697	60
10	711	60

Stop Event

1×

saturated

Calls

Call 1

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

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

localize116.0ms (1.8%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y z)
	accuracy	100.0%	(*.f64 y x)
✓	accuracy	97.5%	(-.f64 (.f64 y x) (.f64 y z))

Results

110.0ms

256×

valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-sub: 95.0ms (95.7% of total)

ival-mult: 4.0ms (4% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite203.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

741×	`log1p-expm1-u`
741×	`expm1-log1p-u`
731×	`unpow-prod-down`
473×	`fma-define`
401×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	151	35
2	2056	35

Stop Event

1×	node limit

Counts

2 → 245

Calls

Call 1

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

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

simplify208.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

609×	`fma-neg`
605×	`distribute-lft-in`
535×	`distribute-rgt-in`
314×	`distribute-lft-neg-in`
274×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	478	8883
1	1055	8599
2	3055	8401

Stop Event

1×	node limit

Counts

281 → 277

Calls

Call 1

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

Outputs
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z))))
(*.f64 y (-.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z))))
(*.f64 y (-.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z))))
(*.f64 y (-.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z))))
(*.f64 y (-.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(-.f64 (.f64 x y) (.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (.f64 x y) (.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (.f64 x y) (.f64 y z))
(*.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 (/.f64 (.f64 y (neg.f64 z)) x)))
(.f64 x (-.f64 y (.f64 y (/.f64 z x))))
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 y (/.f64 (.f64 y (neg.f64 z)) x)))
(.f64 x (-.f64 y (.f64 y (/.f64 z x))))
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 y (/.f64 (.f64 y (neg.f64 z)) x)))
(.f64 x (-.f64 y (.f64 y (/.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 (/.f64 (.f64 y (neg.f64 z)) x)))
(.f64 x (-.f64 y (.f64 y (/.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 (/.f64 (.f64 y (neg.f64 z)) x)))
(.f64 x (-.f64 y (.f64 y (/.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 (/.f64 (.f64 y (neg.f64 z)) x)))
(.f64 x (-.f64 y (.f64 y (/.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 (-.f64 (/.f64 (.f64 x y) z) y))
(.f64 z (-.f64 (.f64 x (/.f64 y z)) y))
(.f64 z (-.f64 (.f64 y (/.f64 x z)) y))
(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
(.f64 z (-.f64 (.f64 x (/.f64 y z)) y))
(.f64 z (-.f64 (.f64 y (/.f64 x z)) y))
(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
(.f64 z (-.f64 (.f64 x (/.f64 y z)) y))
(.f64 z (-.f64 (.f64 y (/.f64 x z)) y))
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))
(.f64 z (-.f64 (.f64 x (/.f64 y z)) y))
(.f64 z (-.f64 (.f64 y (/.f64 x z)) y))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))
(.f64 z (-.f64 (.f64 x (/.f64 y z)) y))
(.f64 z (-.f64 (.f64 y (/.f64 x z)) y))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))
(.f64 z (-.f64 (.f64 x (/.f64 y z)) y))
(.f64 z (-.f64 (.f64 y (/.f64 x z)) y))
(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y (-.f64 x z)) (fma.f64 y (neg.f64 z) (.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y (-.f64 x z)) (fma.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y (-.f64 x z)) (.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y (-.f64 x z)) (+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(*.f64 y (-.f64 x z))
(+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (.f64 y (-.f64 x z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y (neg.f64 z)) (.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 x z)))
(*.f64 y (-.f64 x z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z))))) (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 y (-.f64 x z))
(*.f64 y (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 3 binary64)))
(*.f64 y (-.f64 x z))
(*.f64 y (pow.f64 (sqrt.f64 (-.f64 x z)) #s(literal 2 binary64)))
(*.f64 y (-.f64 x z))
(.f64 (.f64 y (-.f64 x z)) #s(literal 1 binary64))
(*.f64 y (-.f64 x z))
(.f64 (.f64 y (-.f64 x z)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y (-.f64 x z))
(.f64 #s(literal 1 binary64) (.f64 y (-.f64 x z)))
(*.f64 y (-.f64 x z))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) #s(literal 2 binary64)))
(*.f64 y (-.f64 x z))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (-.f64 x z))))
(*.f64 y (-.f64 x z))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (-.f64 x z)))
(*.f64 y (-.f64 x z))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (.f64 (cbrt.f64 y) (-.f64 x z)) #s(literal 1 binary64)))
(*.f64 y (-.f64 x z))
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
(*.f64 y (-.f64 x z))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)))
(*.f64 y (-.f64 x z))
(.f64 (sqrt.f64 y) (pow.f64 (.f64 (sqrt.f64 y) (-.f64 x z)) #s(literal 1 binary64)))
(*.f64 y (-.f64 x z))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 x z))))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (*.f64 y (+.f64 x z)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (*.f64 y (+.f64 x z)))
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(.f64 (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y z))) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y z))))
(*.f64 y (-.f64 x z))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 y (-.f64 x z)))
(*.f64 y (-.f64 x z))
(.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y z))) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64)))
(*.f64 y (-.f64 x z))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (-.f64 x z)))) #s(literal 3 binary64)))
(*.f64 y (-.f64 x z))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))) #s(literal 3 binary64)))
(*.f64 y (-.f64 x z))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (cbrt.f64 (.f64 y (-.f64 x z))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (-.f64 x z)))) #s(literal 3 binary64)))
(*.f64 y (-.f64 x z))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (-.f64 x z)))) #s(literal 3 binary64)))
(*.f64 y (-.f64 x z))
(.f64 (pow.f64 (pow.f64 (.f64 y (-.f64 x z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y (-.f64 x z))))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (.f64 y (-.f64 x z)) (sqrt.f64 (.f64 y (-.f64 x z)))) #s(literal 1/3 binary64)) (pow.f64 (.f64 (.f64 y (-.f64 x z)) (sqrt.f64 (*.f64 y (-.f64 x z)))) #s(literal 1/3 binary64)))
(*.f64 y (-.f64 x z))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 y (-.f64 x z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 y (-.f64 x z)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64)) y) #s(literal 1/3 binary64)) (pow.f64 (-.f64 x z) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (.f64 y (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 y (-.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) #s(literal 7 binary64)) (cbrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 y (-.f64 x z)) #s(literal 2 binary64)) (sqrt.f64 (.f64 y (-.f64 x z)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (.f64 (pow.f64 (.f64 y (-.f64 x z)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) #s(literal 5 binary64))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (-.f64 x z)))) #s(literal 2 binary64)))
(*.f64 y (-.f64 x z))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))) #s(literal 2 binary64)))
(*.f64 y (-.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
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(fma.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 y (neg.f64 z)))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 y (neg.f64 z)))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 y (neg.f64 z)))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 y (neg.f64 z)))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(*.f64 y (-.f64 x z))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(*.f64 y z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) (cbrt.f64 (pow.f64 (exp.f64 y) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 y z)
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y z)
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 y z)
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(log.f64 (pow.f64 (exp.f64 y) z))
(*.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(*.f64 y z)
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(*.f64 y z)
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (log.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (.f64 (log.f64 (.f64 y z)) #s(literal 1 binary64)))
(*.f64 y z)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y z))) #s(literal 3 binary64)))
(*.f64 y z)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 y z)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y z))) #s(literal 2 binary64)))
(*.f64 y z)

eval35.0ms (0.5%)

Compiler: Compiled 5043 to 640 computations (87.3% saved)

prune45.0ms (0.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	307	0	307
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	307	5	312

Accuracy

100.0%

Counts

312 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 y x (*.f64 y (neg.f64 z)))
✓	97.2%	(-.f64 (.f64 y x) (.f64 y z))
✓	54.8%	(*.f64 z (neg.f64 y))
✓	100.0%	(*.f64 y (-.f64 x z))
✓	53.4%	(*.f64 y x)

Compiler

Compiled 93 to 45 computations (51.6% saved)

regimes14.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
3.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
3.0ms	x
3.0ms	z

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)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
74.8%	3	`x`
62.9%	2	`y`
79.5%	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	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
53.4%	1	`y`
53.4%	1	`x`
53.4%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch124.0ms (2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.009555339725769e-29	1.2320440148155991e-27
104.0ms	-1.7192857840634963e-16	-6.361357442243232e-19

Results

13.0ms	144×	0	valid
9.0ms	42×	2	valid
8.0ms	54×	1	valid

Compiler

Compiled 249 to 179 computations (28.1% saved)

Precisions

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

ival-mult: 8.0ms (51.3% of total)

ival-sub: 4.0ms (25.7% of total)

backward-pass: 2.0ms (12.8% of total)

ival-add: 2.0ms (12.8% of total)

const: 0.0ms (0% of total)

simplify8.0ms (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 z #s(literal -8826904659509207/649037107316853453566312041152512 binary64)) (*.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 3679622957757553/11150372599265311570767859136324180752990208 binary64)) (*.f64 y x) (*.f64 z (neg.f64 y))))

(*.f64 y x)

Outputs
(*.f64 y (-.f64 x z))
(if (<=.f64 z #s(literal -8826904659509207/649037107316853453566312041152512 binary64)) (.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 3679622957757553/11150372599265311570767859136324180752990208 binary64)) (.f64 y x) (*.f64 z (neg.f64 y))))
(if (or (<=.f64 z #s(literal -8826904659509207/649037107316853453566312041152512 binary64)) (not (<=.f64 z #s(literal 3679622957757553/11150372599265311570767859136324180752990208 binary64)))) (.f64 z (neg.f64 y)) (.f64 y x))
(*.f64 y x)

soundness579.0ms (9.1%)

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)

preprocess40.0ms (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%)

sample1.7s (27.1%)

preprocess148.0ms (2.3%)

explain121.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify69.0ms (1.1%)

localize20.0ms (0.3%)

series7.0ms (0.1%)

rewrite205.0ms (3.2%)

simplify638.0ms (10%)

eval20.0ms (0.3%)

prune44.0ms (0.7%)

simplify29.0ms (0.5%)

localize202.0ms (3.2%)

series14.0ms (0.2%)

rewrite183.0ms (2.9%)

simplify450.0ms (7.1%)

eval743.0ms (11.7%)

prune338.0ms (5.3%)

simplify25.0ms (0.4%)

localize116.0ms (1.8%)

series4.0ms (0.1%)

rewrite203.0ms (3.2%)

simplify208.0ms (3.3%)

eval35.0ms (0.5%)

prune45.0ms (0.7%)

regimes14.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch124.0ms (2%)

simplify8.0ms (0.1%)

soundness579.0ms (9.1%)

preprocess40.0ms (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	18	193
1	34	185
2	54	185
3	81	185
4	121	185
5	177	185
6	311	185
7	480	185
8	608	185
9	674	185
10	686	185

Iter	Nodes	Cost
0	12	60
1	24	60
2	41	60
3	60	60
4	96	60
5	148	60
6	259	60
7	426	60
8	618	60
9	697	60
10	711	60

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	18	193
1	34	185
2	54	185
3	81	185
4	121	185
5	177	185
6	311	185
7	480	185
8	608	185
9	674	185
10	686	185

Iter	Nodes	Cost
0	12	60
1	24	60
2	41	60
3	60	60
4	96	60
5	148	60
6	259	60
7	426	60
8	618	60
9	697	60
10	711	60

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	18	193
1	34	185
2	54	185
3	81	185
4	121	185
5	177	185
6	311	185
7	480	185
8	608	185
9	674	185
10	686	185

Iter	Nodes	Cost
0	12	60
1	24	60
2	41	60
3	60	60
4	96	60
5	148	60
6	259	60
7	426	60
8	618	60
9	697	60
10	711	60