Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, D

analyze1.0ms (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)

sample4.1s (32%)

Results

2.1s	5712×	0	valid
1.1s	2286×	1	valid
117.0ms	258×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-mult: 1.8s (72.5% of total)

ival-add: 323.0ms (13.3% of total)

ival-sub: 256.0ms (10.5% of total)

backward-pass: 78.0ms (3.2% of total)

const: 11.0ms (0.5% of total)

Bogosity

preprocess430.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

574×	`sub-neg`
557×	`unsub-neg`
325×	`distribute-lft-out--`
304×	`distribute-lft-neg-in`
282×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	662
1	183	367
2	641	264
3	2518	250
4	5638	250
5	7348	250

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(negabs y)

explain494.0ms (3.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
118	-	-	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`
12	-	-	`(-.f64 (.f64 x y) (.f64 y y))`
1	-	-	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`
0	-	-	`x`
0	-	-	`(*.f64 y z)`
0	-	-	`(*.f64 y y)`
0	-	-	`y`
0	-	-	`(*.f64 x y)`
0	-	-	`z`

Results

80.0ms	172×	1	valid
64.0ms	276×	0	valid
45.0ms	64×	2	valid

Compiler

Compiled 116 to 29 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 43.0ms (50.7% of total)

ival-sub: 19.0ms (22.4% of total)

backward-pass: 12.0ms (14.1% of total)

ival-add: 10.0ms (11.8% of total)

const: 1.0ms (1.2% of total)

eval1.0ms (0%)

Compiler: Compiled 28 to 13 computations (53.6% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (.f64 x y) (.f64 y z))
▶	100.0%	(*.f64 y (-.f64 x z))

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

171×	`fma-define`
126×	`fma-neg`
32×	`distribute-rgt-in`
32×	`cancel-sign-sub-inv`
27×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	107
1	27	107
2	44	107
3	66	107
4	102	107
5	167	107
6	291	107
7	433	107
8	631	107
9	697	107
10	709	107

Stop Event

1×

saturated

Calls

Call 1

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

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

localize184.0ms (1.4%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.7%	(-.f64 (.f64 x y) (.f64 y z))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 y (-.f64 x z))

Results

59.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 14.0ms (66.4% of total)

ival-sub: 6.0ms (28.5% of total)

const: 0.0ms (0% of total)

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

series37.0ms (0.3%)

Counts

5 → 78

Calls

Call 1

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

36 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(- (* x y) (* y z))
2.0ms	x	@	inf	(- (* x y) (* y z))
2.0ms	x	@	-inf	(* y (- x z))
2.0ms	y	@	inf	(- (* x y) (* y z))
2.0ms	y	@	-inf	(- (* x y) (* y z))

rewrite999.0ms (7.9%)

Algorithm

1×	batch-egg-rewrite

Rules

971×	`log1p-expm1-u`
971×	`expm1-log1p-u`
644×	`fma-define`
256×	`fma-neg`
160×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	83
1	199	83
2	2848	83

Stop Event

1×	node limit

Counts

5 → 573

Calls

Call 1

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

simplify717.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-neg`
616×	`distribute-lft-in`
391×	`distribute-lft-neg-in`
339×	`distribute-rgt-neg-in`
232×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	625	19306
1	1393	18777
2	3913	18208

Stop Event

1×	node limit

Counts

651 → 405

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

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

eval128.0ms (1%)

Compiler: Compiled 6423 to 812 computations (87.4% saved)

prune154.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	401	4	405
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	401	6	407

Accuracy

100.0%

Counts

407 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (*.f64 y (neg.f64 z)))
✓	99.6%	(-.f64 (.f64 x y) (.f64 y z))
▶	91.0%	(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
✓	100.0%	(*.f64 y (-.f64 x z))
▶	54.3%	(*.f64 y (neg.f64 z))
▶	55.9%	(*.f64 y x)

Compiler

Compiled 53 to 33 computations (37.7% saved)

simplify954.0ms (7.5%)

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	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) z)
✓	cost-diff	0	(-.f64 (/.f64 (*.f64 x y) z) y)
✓	cost-diff	256	(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 y (neg.f64 z))
✓	cost-diff	0	(*.f64 y x)

Rules

1458×	`fma-neg`
820×	`fma-define`
687×	`associate-*r/`
670×	`div-sub`
440×	`associate-/l/`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	249
1	33	249
2	60	249
3	119	240
4	239	222
5	425	210
6	1040	210
7	2318	210
8	4307	210
9	5563	210
10	6159	210
11	6204	210
12	6219	210
13	6486	210
14	6838	210
15	7300	210
16	7812	210
17	7816	210
18	7820	210
19	7828	210
20	7856	210
21	7856	210

Stop Event

1×	node limit

Calls

Call 1

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

localize141.0ms (1.1%)

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	100.0%	(fma.f64 y x (*.f64 y (neg.f64 z)))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 x y) z) y)
✓	accuracy	92.9%	(/.f64 (*.f64 x y) z)
✓	accuracy	91.4%	(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
✓	accuracy	100.0%	(*.f64 y (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 y x)

Results

101.0ms

256×

valid

Compiler

Compiled 60 to 12 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 20.0ms (51.9% of total)

ival-fma: 7.0ms (18.2% of total)

ival-div: 5.0ms (13% of total)

ival-sub: 3.0ms (7.8% of total)

ival-neg: 3.0ms (7.8% of total)

const: 0.0ms (0% of total)

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

series46.0ms (0.4%)

Counts

7 → 159

Calls

Call 1

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

Calls

51 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(* z (- (/ (* x y) z) y))
2.0ms	y	@	0	(* z (- (/ (* x y) z) y))
2.0ms	y	@	inf	(* z (- (/ (* x y) z) y))
2.0ms	y	@	-inf	(* z (- (/ (* x y) z) y))
2.0ms	z	@	-inf	(* z (- (/ (* x y) z) y))

rewrite347.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`log1p-expm1-u`
703×	`expm1-log1p-u`
616×	`log-prod`
355×	`fma-define`
210×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	162
1	251	145
2	3292	145

Stop Event

1×	node limit

Counts

7 → 328

Calls

Call 1

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

simplify798.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

396×	`distribute-lft-neg-in`
379×	`distribute-rgt-neg-in`
304×	`associate-l`
294×	`exp-prod`
274×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	651	14374
1	1331	13976
2	4661	13897

Stop Event

1×	node limit

Counts

487 → 419

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

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

eval446.0ms (3.5%)

Compiler: Compiled 6754 to 1259 computations (81.4% saved)

prune621.0ms (4.9%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	493	0	493
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	493	6	499

Accuracy

100.0%

Counts

499 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (*.f64 y (neg.f64 z)))
✓	99.6%	(-.f64 (.f64 x y) (.f64 y z))
✓	91.0%	(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
✓	100.0%	(*.f64 y (-.f64 x z))
✓	54.3%	(*.f64 y (neg.f64 z))
✓	55.9%	(*.f64 y x)

Compiler

Compiled 106 to 52 computations (50.9% saved)

regimes21.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 30 to 18 computations (40% saved)

regimes18.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y 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 y)) (.f64 y y)) (.f64 y z))`

Compiler

Compiled 30 to 18 computations (40% saved)

regimes11.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
82.3%	3	`x`
65.4%	4	`y`
83.6%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (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:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
55.9%	1	`y`
55.9%	1	`x`
55.9%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch103.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
45.0ms	190577113442121150.0	2.1765900553972552e+22
46.0ms	-4.439729717719563e+43	-2.430728550413792e+34

Results

35.0ms	104×	1	valid
31.0ms	184×	0	valid

Compiler

Compiled 294 to 212 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 21.0ms (54.8% of total)

ival-sub: 9.0ms (23.5% of total)

ival-add: 5.0ms (13% of total)

backward-pass: 3.0ms (7.8% of total)

const: 0.0ms (0% of total)

simplify10.0ms (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	26	127
1	41	127
2	50	127
3	56	127
4	59	127
5	60	127

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 x z))
(if (<=.f64 z #s(literal -10500000000000000519203668722026807296 binary64)) (.f64 y (neg.f64 z)) (if (<=.f64 z #s(literal 540000000000000000000 binary64)) (.f64 y x) (*.f64 y (neg.f64 z))))
(*.f64 y x)

Outputs
(fma.f64 y x (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 x z))
(if (<=.f64 z #s(literal -10500000000000000519203668722026807296 binary64)) (.f64 y (neg.f64 z)) (if (<=.f64 z #s(literal 540000000000000000000 binary64)) (.f64 y x) (*.f64 y (neg.f64 z))))
(if (or (<=.f64 z #s(literal -10500000000000000519203668722026807296 binary64)) (not (<=.f64 z #s(literal 540000000000000000000 binary64)))) (.f64 y (neg.f64 z)) (.f64 y x))
(*.f64 y x)

soundness1.8s (14.1%)

Rules

971×	`log1p-expm1-u`
971×	`expm1-log1p-u`
661×	`fma-neg`
644×	`fma-define`
616×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	662
1	183	367
2	641	264
3	2518	250
4	5638	250
5	7348	250
0	625	19306
1	1393	18777
2	3913	18208
0	14	83
1	199	83
2	2848	83

Stop Event

1×	done
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 157 to 64 computations (59.2% saved)

preprocess101.0ms (0.8%)

Remove: (negabs y)
Compiler: Compiled 160 to 84 computations (47.5% saved)

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

analyze1.0ms (0%)

sample4.1s (32%)

preprocess430.0ms (3.4%)

explain494.0ms (3.9%)

eval1.0ms (0%)

prune3.0ms (0%)

simplify67.0ms (0.5%)

localize184.0ms (1.4%)

series37.0ms (0.3%)

rewrite999.0ms (7.9%)

simplify717.0ms (5.7%)

eval128.0ms (1%)

prune154.0ms (1.2%)

simplify954.0ms (7.5%)

localize141.0ms (1.1%)

series46.0ms (0.4%)

rewrite347.0ms (2.7%)

simplify798.0ms (6.3%)

eval446.0ms (3.5%)

prune621.0ms (4.9%)

regimes21.0ms (0.2%)

regimes18.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch103.0ms (0.8%)

simplify10.0ms (0.1%)

soundness1.8s (14.1%)

preprocess101.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	107
1	27	107
2	44	107
3	66	107
4	102	107
5	167	107
6	291	107
7	433	107
8	631	107
9	697	107
10	709	107

Iter	Nodes	Cost
0	14	107
1	27	107
2	44	107
3	66	107
4	102	107
5	167	107
6	291	107
7	433	107
8	631	107
9	697	107
10	709	107

Iter	Nodes	Cost
0	14	107
1	27	107
2	44	107
3	66	107
4	102	107
5	167	107
6	291	107
7	433	107
8	631	107
9	697	107
10	709	107