Metrics for Linear.V2:$cdot from linear-1.19.1.3, A

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample949.0ms (37.9%)

Results

555.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-mult: 222.0ms (81% of total)

ival-add: 41.0ms (15% of total)

const: 7.0ms (2.6% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess177.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

226×	`fma-define`
118×	`fma-neg`
68×	`unsub-neg`
50×	`associate-r`
43×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	464
1	96	464
2	170	464
3	374	464
4	603	464
5	813	464
6	968	464
7	990	464
8	994	464

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

(sort z t)

explain211.0ms (8.4%)

FPErrors

Click to see full error table

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

Results

38.0ms

512×

valid

Compiler

Compiled 55 to 23 computations (58.2% saved)

Precisions

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

ival-mult: 8.0ms (68.8% of total)

ival-add: 3.0ms (25.8% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x y (*.f64 z t))
▶	99.6%	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize87.0ms (3.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.7%	(+.f64 (.f64 x y) (.f64 z t))

Results

77.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-fma: 52.0ms (89.7% of total)

ival-mult: 4.0ms (6.9% of total)

ival-add: 1.0ms (1.7% of total)

const: 0.0ms (0% of total)

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

series75.0ms (3%)

Counts

1 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
70.0ms	x	@	-inf	(+ (* x y) (* z t))
1.0ms	z	@	0	(+ (* x y) (* z t))
1.0ms	x	@	0	(+ (* x y) (* z t))
0.0ms	t	@	-inf	(+ (* x y) (* z t))
0.0ms	y	@	-inf	(+ (* x y) (* z t))

rewrite212.0ms (8.5%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`log1p-expm1-u`
738×	`expm1-log1p-u`
713×	`unpow-prod-down`
396×	`log-prod`
314×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	158	27
2	2024	27

Stop Event

1×	node limit

Counts

1 → 87

Calls

Call 1

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

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

simplify116.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

694×	`distribute-lft-neg-in`
538×	`unswap-sqr`
512×	`fma-define`
271×	`*-commutative`
236×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	262	4327
1	633	4285
2	1727	4251
3	5584	4215

Stop Event

1×	node limit

Counts

135 → 107

Calls

Call 1

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

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

eval17.0ms (0.7%)

Compiler: Compiled 1659 to 537 computations (67.6% saved)

prune17.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	105	4	109

Accuracy

100.0%

Counts

109 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(+.f64 (.f64 x y) (.f64 z t))
▶	93.4%	(.f64 y (+.f64 x (/.f64 (.f64 t z) y)))
▶	51.9%	(*.f64 x y)
▶	52.2%	(*.f64 t z)

Compiler

Compiled 38 to 25 computations (34.2% saved)

localize37.0ms (1.5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x (/.f64 (*.f64 t z) y))
✓	93.7%	(/.f64 (*.f64 t z) y)
✓	93.3%	(.f64 y (+.f64 x (/.f64 (.f64 t z) y)))

Results

27.0ms

256×

valid

Compiler

Compiled 43 to 10 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (59.2% of total)

ival-div: 2.0ms (19.7% of total)

ival-add: 1.0ms (9.9% of total)

const: 0.0ms (0% of total)

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

series16.0ms (0.6%)

Counts

3 → 78

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite129.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1055×	`log1p-expm1-u`
1055×	`expm1-log1p-u`
562×	`log-prod`
301×	`fma-define`
170×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	93
1	190	85
2	2838	85

Stop Event

1×	node limit

Counts

3 → 184

Calls

Call 1

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

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

simplify142.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

511×	`distribute-lft-in`
454×	`cancel-sign-sub-inv`
450×	`distribute-rgt-in`
368×	`distribute-lft-neg-in`
335×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	444	8709
1	1115	8472
2	3596	8472

Stop Event

1×	node limit

Counts

262 → 234

Calls

Call 1

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

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

eval40.0ms (1.6%)

Compiler: Compiled 3591 to 1106 computations (69.2% saved)

prune43.0ms (1.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	234	4	238

Accuracy

100.0%

Counts

238 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(+.f64 (.f64 x y) (.f64 z t))
✓	93.4%	(.f64 y (+.f64 x (/.f64 (.f64 t z) y)))
✓	51.9%	(*.f64 x y)
✓	52.2%	(*.f64 t z)

Compiler

Compiled 70 to 37 computations (47.1% saved)

regimes17.0ms (0.7%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

3.0ms	z
3.0ms	(*.f64 x y)
2.0ms	t
2.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes24.0ms (1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

11.0ms	(*.f64 z t)
3.0ms	y
3.0ms	(+.f64 (.f64 x y) (.f64 z t))
2.0ms	z
2.0ms	t

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`t`
99.6%	1	`(+.f64 (.f64 x y) (.f64 z t))`
99.6%	1	`(*.f64 x y)`
99.6%	1	`(*.f64 z t)`

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes20.0ms (0.8%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	y
4.0ms	z
3.0ms	(*.f64 x y)
3.0ms	t
3.0ms	x

Results

Accuracy	Segments	Branch
72.6%	5	`x`
76.2%	7	`y`
69.6%	5	`z`
75.2%	5	`t`
78.3%	5	`(*.f64 x y)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 t z)

Outputs
(*.f64 t z)

Calls

4 calls:

0.0ms	x
0.0ms	y
0.0ms	t
0.0ms	z

Results

Accuracy	Segments	Branch
52.2%	1	`z`
52.2%	1	`x`
52.2%	1	`y`
52.2%	1	`t`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch47.0ms (1.9%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.5148244134728508e+47	2.2533266831441195e+48
13.0ms	6.018004276539735e-106	7.308683296767631e-97
12.0ms	1.4621071294125417e-160	1.0913384312930252e-154
10.0ms	-1.3741204745649873e+105	-1.4291872943265694e+103

Results

27.0ms

496×

valid

Compiler

Compiled 452 to 354 computations (21.7% saved)

Precisions

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

ival-mult: 5.0ms (58.3% of total)

ival-add: 3.0ms (35% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`not-or`
6×	`if-not`
6×	`not-not`
6×	`if-if-or-not`
2×	`not-and`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	214
1	42	208
2	45	202
3	51	198
4	55	198
5	59	198
6	60	198
7	61	198

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x y (*.f64 z t))
(+.f64 (.f64 x y) (.f64 z t))
(if (<=.f64 (.f64 x y) #s(literal -26000000000000001641241908740418642038838027378721680611432573931096558238788433713102530212919490117632 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 6521407070091623/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (.f64 t z) (if (<=.f64 (.f64 x y) #s(literal 726257778211943/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 264999999999999999449702644754190044609671856128 binary64)) (.f64 t z) (*.f64 x y)))))
(*.f64 t z)

Outputs
(fma.f64 x y (*.f64 z t))
(+.f64 (.f64 x y) (.f64 z t))
(+.f64 (.f64 z t) (.f64 x y))
(if (<=.f64 (.f64 x y) #s(literal -26000000000000001641241908740418642038838027378721680611432573931096558238788433713102530212919490117632 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 6521407070091623/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (.f64 t z) (if (<=.f64 (.f64 x y) #s(literal 726257778211943/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 264999999999999999449702644754190044609671856128 binary64)) (.f64 t z) (*.f64 x y)))))
(if (<=.f64 (.f64 x y) #s(literal -26000000000000001641241908740418642038838027378721680611432573931096558238788433713102530212919490117632 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 6521407070091623/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (.f64 z t) (if (or (<=.f64 (.f64 x y) #s(literal 726257778211943/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (not (<=.f64 (.f64 x y) #s(literal 264999999999999999449702644754190044609671856128 binary64)))) (.f64 x y) (.f64 z t))))
(if (<=.f64 (.f64 x y) #s(literal -26000000000000001641241908740418642038838027378721680611432573931096558238788433713102530212919490117632 binary64)) (.f64 x y) (if (or (<=.f64 (.f64 x y) #s(literal 6521407070091623/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (not (or (<=.f64 (.f64 x y) #s(literal 726257778211943/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (not (<=.f64 (.f64 x y) #s(literal 264999999999999999449702644754190044609671856128 binary64)))))) (.f64 z t) (*.f64 x y)))
(if (or (<=.f64 (.f64 x y) #s(literal -26000000000000001641241908740418642038838027378721680611432573931096558238788433713102530212919490117632 binary64)) (not (or (<=.f64 (.f64 x y) #s(literal 6521407070091623/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (not (or (<=.f64 (.f64 x y) #s(literal 726257778211943/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (not (<=.f64 (.f64 x y) #s(literal 264999999999999999449702644754190044609671856128 binary64)))))))) (.f64 x y) (.f64 z t))
(if (or (<=.f64 (.f64 x y) #s(literal -26000000000000001641241908740418642038838027378721680611432573931096558238788433713102530212919490117632 binary64)) (not (or (<=.f64 (.f64 x y) #s(literal 6521407070091623/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (and (not (<=.f64 (.f64 x y) #s(literal 726257778211943/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64))) (<=.f64 (.f64 x y) #s(literal 264999999999999999449702644754190044609671856128 binary64)))))) (.f64 x y) (.f64 z t))
(if (or (<=.f64 (.f64 x y) #s(literal -26000000000000001641241908740418642038838027378721680611432573931096558238788433713102530212919490117632 binary64)) (and (not (<=.f64 (.f64 x y) #s(literal 6521407070091623/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64))) (or (<=.f64 (.f64 x y) #s(literal 726257778211943/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (not (<=.f64 (.f64 x y) #s(literal 264999999999999999449702644754190044609671856128 binary64)))))) (.f64 x y) (.f64 z t))
(*.f64 t z)
(*.f64 z t)

soundness66.0ms (2.6%)

Rules

226×	`fma-define`
118×	`fma-neg`
68×	`unsub-neg`
50×	`associate-r`
43×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	464
1	96	464
2	170	464
3	374	464
4	603	464
5	813	464
6	968	464
7	990	464
8	994	464

Stop Event

1×	done
1×	saturated

Compiler

Compiled 69 to 30 computations (56.5% saved)

preprocess47.0ms (1.9%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 286 to 154 computations (46.2% saved)

Linear.V2:$cdot from linear-1.19.1.3, A

analyze0.0ms (0%)

sample949.0ms (37.9%)

preprocess177.0ms (7.1%)

explain211.0ms (8.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize87.0ms (3.5%)

series75.0ms (3%)

rewrite212.0ms (8.5%)

simplify116.0ms (4.6%)

eval17.0ms (0.7%)

prune17.0ms (0.7%)

localize37.0ms (1.5%)

series16.0ms (0.6%)

rewrite129.0ms (5.2%)

simplify142.0ms (5.7%)

eval40.0ms (1.6%)

prune43.0ms (1.7%)

regimes17.0ms (0.7%)

regimes24.0ms (1%)

regimes20.0ms (0.8%)

regimes2.0ms (0.1%)

bsearch47.0ms (1.9%)

simplify8.0ms (0.3%)

soundness66.0ms (2.6%)

preprocess47.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	45	464
1	96	464
2	170	464
3	374	464
4	603	464
5	813	464
6	968	464
7	990	464
8	994	464

Iter	Nodes	Cost
0	45	464
1	96	464
2	170	464
3	374	464
4	603	464
5	813	464
6	968	464
7	990	464
8	994	464

Iter	Nodes	Cost
0	45	464
1	96	464
2	170	464
3	374	464
4	603	464
5	813	464
6	968	464
7	990	464
8	994	464

Iter	Nodes	Cost
0	45	464
1	96	464
2	170	464
3	374	464
4	603	464
5	813	464
6	968	464
7	990	464
8	994	464

Iter	Nodes	Cost
0	45	464
1	96	464
2	170	464
3	374	464
4	603	464
5	813	464
6	968	464
7	990	464
8	994	464

Iter	Nodes	Cost
0	45	464
1	96	464
2	170	464
3	374	464
4	603	464
5	813	464
6	968	464
7	990	464
8	994	464