Metrics for Linear.V3:cross from linear-1.19.1.3

analyze375.0ms (11.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
3.9%	3.9%	95.9%	0.2%	0%	0%	0%	11
4.3%	4.3%	95.5%	0.2%	0%	0%	0%	12

Compiler

Compiled 9 to 9 computations (0% saved)

sample644.0ms (19.9%)

Samples

398.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-mult: 131.0ms (72.3% of total)

ival-sub: 39.0ms (21.5% of total)

ival-true: 7.0ms (3.9% of total)

ival-assert: 5.0ms (2.8% of total)

Bogosity

preprocess79.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

280×	`fma-define`
187×	`fmm-def`
57×	`unsub-neg`
47×	`cancel-sign-sub-inv`
43×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	512
1	126	480
2	227	480
3	472	480
4	849	480
5	1144	480
6	1174	480
7	1180	480

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

Symmetry

(sort x y)

(sort z t)

explain67.0ms (2.1%)

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x y) (.f64 z t))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 z t)`	overflow	29

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 60 to 32 computations (46.7% saved)

Precisions

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

ival-mult: 9.0ms (75.4% of total)

ival-sub: 2.0ms (16.8% of total)

ival-true: 1.0ms (8.4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify25.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6336	(-.f64 (.f64 x y) (.f64 z t))
✓	cost-diff	0	(*.f64 z t)
✓	cost-diff	0	(*.f64 x y)

Rules

171×	`fma-define`
87×	`fmm-def`
27×	`distribute-lft-neg-in`
27×	`cancel-sign-sub-inv`
20×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	24	73
2	39	73
3	56	73
4	83	73
5	127	73
6	208	73
7	311	73
8	410	73
9	527	73
10	581	73
11	587	73

Stop Event

1×

saturated

Calls

Call 1

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

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

localize21.0ms (0.7%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.3%	(-.f64 (.f64 x y) (.f64 z t))

Samples

15.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (72.9% of total)

ival-sub: 1.0ms (14.6% of total)

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

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

series8.0ms (0.3%)

Counts

3 → 72

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite237.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`log1p-expm1-u`
795×	`expm1-log1p-u`
430×	`log-prod`
398×	`fma-define`
213×	`pow2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	169	57
2	2188	57

Stop Event

1×	node limit

Counts

3 → 221

Calls

Call 1

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

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

simplify212.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

549×	`times-frac`
433×	`distribute-lft-in`
409×	`fmm-def`
377×	`distribute-rgt-in`
295×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	441	10533
1	981	10223
2	2663	9969

Stop Event

1×	node limit

Counts

293 → 268

Calls

Call 1

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

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

eval35.0ms (1.1%)

Compiler: Compiled 4 548 to 587 computations (87.1% saved)

prune132.0ms (4.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	265	3	268
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	265	4	269

Accuracy

100.0%

Counts

269 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (.f64 x y) (.f64 z t))
▶	55.8%	(*.f64 z (neg.f64 t))
▶	87.4%	(.f64 x (-.f64 y (.f64 t (/.f64 z x))))
▶	47.3%	(*.f64 x y)

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify81.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 t)
✓	cost-diff	0	(*.f64 z (neg.f64 t))
✓	cost-diff	-6336	(-.f64 y (*.f64 t (/.f64 z x)))
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(*.f64 t (/.f64 z x))
✓	cost-diff	128	(.f64 x (-.f64 y (.f64 t (/.f64 z x))))
	cost-diff	0	(*.f64 x y)

Rules

778×	`fma-define`
585×	`fmm-def`
513×	`unsub-neg`
347×	`div-sub`
335×	`associate-/l/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	176
1	35	176
2	62	176
3	145	176
4	354	167
5	766	167
6	1551	167
7	2954	167
8	4976	167
9	7464	167

Stop Event

1×	node limit

Calls

Call 1

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

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

localize33.0ms (1%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z (neg.f64 t))
✓	accuracy	100.0%	(neg.f64 t)
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(-.f64 y (*.f64 t (/.f64 z x)))
✓	accuracy	92.8%	(*.f64 t (/.f64 z x))
✓	accuracy	91.5%	(.f64 x (-.f64 y (.f64 t (/.f64 z x))))
	accuracy	100.0%	(*.f64 x y)

Samples

23.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (63.1% of total)

ival-div: 2.0ms (15.8% of total)

ival-sub: 1.0ms (7.9% of total)

ival-neg: 1.0ms (7.9% of total)

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

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

series21.0ms (0.7%)

Counts

6 → 168

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ z x)
2.0ms	z	@	inf	(/ z x)
2.0ms	t	@	0	(* x (- y (* t (/ z x))))
1.0ms	x	@	-inf	(* x (- y (* t (/ z x))))
1.0ms	x	@	0	(* x (- y (* t (/ z x))))

rewrite155.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1 030×	`log1p-expm1-u`
1 030×	`expm1-log1p-u`
620×	`prod-diff`
112×	`associate-r`
104×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	131
1	232	123
2	3317	123

Stop Event

1×	node limit

Counts

6 → 273

Calls

Call 1

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

Outputs
(+.f64 (.f64 x y) (.f64 x (*.f64 t (/.f64 z x))))
(+.f64 (.f64 y x) (.f64 (*.f64 t (/.f64 z x)) x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 y (.f64 t (/.f64 z x)))))) #s(literal 1 binary64))
(/.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 t (/.f64 z x)) #s(literal 3 binary64)))) (fma.f64 y y (.f64 (.f64 t (/.f64 z x)) (+.f64 y (*.f64 t (/.f64 z x))))))
(/.f64 (.f64 x (pow.f64 (+.f64 y (.f64 t (/.f64 z x))) #s(literal 2 binary64))) (+.f64 y (*.f64 t (/.f64 z x))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 t (/.f64 z x)) #s(literal 3 binary64))) x) (fma.f64 y y (.f64 (.f64 t (/.f64 z x)) (+.f64 y (*.f64 t (/.f64 z x))))))
(/.f64 (.f64 (pow.f64 (+.f64 y (.f64 t (/.f64 z x))) #s(literal 2 binary64)) x) (+.f64 y (*.f64 t (/.f64 z x))))
(pow.f64 (.f64 x (+.f64 y (.f64 t (/.f64 z x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 t (/.f64 z x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (+.f64 y (.f64 t (/.f64 z x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (+.f64 y (.f64 t (/.f64 z x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (+.f64 y (.f64 t (/.f64 z x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y (*.f64 t (/.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (+.f64 y (.f64 t (/.f64 z x)))))))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 y (.f64 t (/.f64 z x)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y (.f64 t (/.f64 z x))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (+.f64 y (.f64 t (/.f64 z x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 y (.f64 t (/.f64 z x))))))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 y (.f64 t (/.f64 z x))))))
(exp.f64 (log.f64 (.f64 x (+.f64 y (.f64 t (/.f64 z x))))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y (*.f64 t (/.f64 z x))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 t (/.f64 z x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t (/.f64 z x)))) #s(literal 1 binary64))
(/.f64 t (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t z)))
(/.f64 (*.f64 t z) x)
(/.f64 (*.f64 t z) (neg.f64 x))
(/.f64 (*.f64 t (neg.f64 z)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 t z) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 t z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 t z) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 t (/.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 t (/.f64 z x))) #s(literal 2 binary64))
(neg.f64 (*.f64 t (/.f64 z x)))
(sqrt.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 z x)) t))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (/.f64 z x)) t)))
(cbrt.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 t (/.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 t (/.f64 z x))))
(exp.f64 (log.f64 (*.f64 t (/.f64 z x))))
(exp.f64 (.f64 (log.f64 (.f64 t (/.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 z) x))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(log1p.f64 (expm1.f64 (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(+.f64 y (*.f64 t (/.f64 z x)))
(+.f64 (*.f64 t (/.f64 z x)) y)
(+.f64 (+.f64 y (.f64 t (/.f64 z x))) (fma.f64 (neg.f64 (/.f64 z x)) t (.f64 t (/.f64 z x))))
(+.f64 (+.f64 y (.f64 t (/.f64 z x))) (fma.f64 t (/.f64 z x) (.f64 t (/.f64 z x))))
(+.f64 (+.f64 y (.f64 t (/.f64 z x))) (fma.f64 (.f64 t (/.f64 z x)) #s(literal 1 binary64) (*.f64 t (/.f64 z x))))
(+.f64 (+.f64 y (.f64 t (/.f64 z x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 t (/.f64 z x)))) (pow.f64 (cbrt.f64 (.f64 t (/.f64 z x))) #s(literal 2 binary64)) (.f64 t (/.f64 z x))))
(+.f64 (+.f64 y (.f64 t (/.f64 z x))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 t (/.f64 z x)))) (sqrt.f64 (.f64 t (/.f64 z x))) (.f64 t (/.f64 z x))))
(+.f64 (+.f64 y (.f64 t (/.f64 z x))) (fma.f64 (neg.f64 (neg.f64 (/.f64 z x))) t (.f64 t (/.f64 z x))))
(+.f64 (+.f64 y (.f64 t (/.f64 z x))) (fma.f64 #s(literal -1 binary64) (.f64 t (/.f64 z x)) (*.f64 t (/.f64 z x))))
(+.f64 (+.f64 y (.f64 t (/.f64 z x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 t (/.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 t (/.f64 z x))) (.f64 t (/.f64 z x))))
(+.f64 (+.f64 y (.f64 t (/.f64 z x))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 t (/.f64 z x))))) (sqrt.f64 (.f64 t (/.f64 z x))) (.f64 t (/.f64 z x))))
(+.f64 (+.f64 y (.f64 t (/.f64 z x))) (fma.f64 t (neg.f64 (/.f64 z x)) (.f64 t (/.f64 z x))))
(+.f64 (+.f64 y (.f64 t (/.f64 z x))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 t (/.f64 z x)))) (neg.f64 (sqrt.f64 (.f64 t (/.f64 z x)))) (.f64 t (/.f64 z x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (.f64 t (/.f64 z x))) (fma.f64 (neg.f64 (/.f64 z x)) t (.f64 t (/.f64 z x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (.f64 t (/.f64 z x))) (fma.f64 t (/.f64 z x) (.f64 t (/.f64 z x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (.f64 t (/.f64 z x))) (fma.f64 (.f64 t (/.f64 z x)) #s(literal 1 binary64) (*.f64 t (/.f64 z x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (.f64 t (/.f64 z x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 t (/.f64 z x)))) (pow.f64 (cbrt.f64 (.f64 t (/.f64 z x))) #s(literal 2 binary64)) (.f64 t (/.f64 z x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (.f64 t (/.f64 z x))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 t (/.f64 z x)))) (sqrt.f64 (.f64 t (/.f64 z x))) (.f64 t (/.f64 z x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (.f64 t (/.f64 z x))) (fma.f64 (neg.f64 (neg.f64 (/.f64 z x))) t (.f64 t (/.f64 z x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (.f64 t (/.f64 z x))) (fma.f64 #s(literal -1 binary64) (.f64 t (/.f64 z x)) (*.f64 t (/.f64 z x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (.f64 t (/.f64 z x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 t (/.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 t (/.f64 z x))) (.f64 t (/.f64 z x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (.f64 t (/.f64 z x))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 t (/.f64 z x))))) (sqrt.f64 (.f64 t (/.f64 z x))) (.f64 t (/.f64 z x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (.f64 t (/.f64 z x))) (fma.f64 t (neg.f64 (/.f64 z x)) (.f64 t (/.f64 z x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (.f64 t (/.f64 z x))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 t (/.f64 z x)))) (neg.f64 (sqrt.f64 (.f64 t (/.f64 z x)))) (.f64 t (/.f64 z x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) t) z))) (fma.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) t)) z (.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) t) z)))
(+.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 (/.f64 z x)) t) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 z x)) t)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 (/.f64 z x)) t) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 t (/.f64 z x)))) (pow.f64 (cbrt.f64 (.f64 t (/.f64 z x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 t (/.f64 z x))))) (pow.f64 (cbrt.f64 (.f64 t (/.f64 z x))) #s(literal 2 binary64)) (.f64 (neg.f64 (cbrt.f64 (.f64 t (/.f64 z x)))) (pow.f64 (cbrt.f64 (.f64 t (/.f64 z x))) #s(literal 2 binary64)))))
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t
(expm1.f64 (log1p.f64 t))
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simplify237.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

388×	`associate-r`
324×	`associate-l`
314×	`cube-prod`
302×	`exp-prod`
268×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	677	18487
1	1778	15605
2	6008	15339

Stop Event

1×	node limit

Counts

441 → 372

Calls

Call 1

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

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

eval75.0ms (2.3%)

Compiler: Compiled 7 655 to 1 251 computations (83.7% saved)

prune189.0ms (5.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	393	0	393
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	393	4	397

Accuracy

100.0%

Counts

397 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (.f64 x y) (.f64 z t))
✓	55.8%	(*.f64 z (neg.f64 t))
✓	87.4%	(.f64 x (-.f64 y (.f64 t (/.f64 z x))))
✓	47.3%	(*.f64 x y)

Compiler

Compiled 66 to 39 computations (40.9% saved)

regimes15.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`t`
99.2%	1	`(-.f64 (.f64 x y) (.f64 z t))`
99.2%	1	`(*.f64 x y)`
99.2%	1	`(*.f64 z t)`

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes9.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
75.9%	3	`x`
72.2%	3	`y`
72.7%	3	`z`
72.1%	3	`t`
79.4%	3	`(*.f64 x y)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

5 calls:

1.0ms	x
1.0ms	y
1.0ms	z
1.0ms	t
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
47.3%	1	`t`
47.3%	1	`y`
47.3%	1	`z`
47.3%	1	`x`
47.3%	1	`(*.f64 x y)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

bsearch8.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.59022570016118e-45	3.9032522367925746e-45
7.0ms	-0.05630698951985542	-0.017938890474752237

Samples

4.0ms

96×

valid

Compiler

Compiled 104 to 86 computations (17.3% saved)

Precisions

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

ival-mult: 1.0ms (72.4% of total)

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

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

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	123
1	44	123
2	52	123
3	57	123
4	59	123

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x y) #s(literal -1152921504606847/36028797018963968 binary64)) (*.f64 x y) (if (<=.f64 (*.f64 x y) #s(literal 6106364568184163/1606938044258990275541962092341162602522202993782792835301376 binary64)) (*.f64 z (neg.f64 t)) (*.f64 x y)))

(*.f64 x y)

Outputs
(-.f64 (.f64 x y) (.f64 z t))
(if (<=.f64 (.f64 x y) #s(literal -1152921504606847/36028797018963968 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 6106364568184163/1606938044258990275541962092341162602522202993782792835301376 binary64)) (.f64 z (neg.f64 t)) (*.f64 x y)))
(if (or (<=.f64 (.f64 x y) #s(literal -1152921504606847/36028797018963968 binary64)) (not (<=.f64 (.f64 x y) #s(literal 6106364568184163/1606938044258990275541962092341162602522202993782792835301376 binary64)))) (.f64 x y) (.f64 z (neg.f64 t)))
(*.f64 x y)

soundness221.0ms (6.8%)

Rules

549×	`times-frac`
433×	`distribute-lft-in`
409×	`fmm-def`
377×	`distribute-rgt-in`
295×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	441	10533
1	981	10223
2	2663	9969

Stop Event

1×	done
1×	node limit

Compiler

Compiled 56 to 28 computations (50% saved)

preprocess348.0ms (10.7%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 222 to 130 computations (41.4% saved)

Linear.V3:cross from linear-1.19.1.3

analyze375.0ms (11.6%)

sample644.0ms (19.9%)

preprocess79.0ms (2.4%)

explain67.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify25.0ms (0.8%)

localize21.0ms (0.7%)

series8.0ms (0.3%)

rewrite237.0ms (7.3%)

simplify212.0ms (6.6%)

eval35.0ms (1.1%)

prune132.0ms (4.1%)

simplify81.0ms (2.5%)

localize33.0ms (1%)

series21.0ms (0.7%)

rewrite155.0ms (4.8%)

simplify237.0ms (7.3%)

eval75.0ms (2.3%)

prune189.0ms (5.8%)

regimes15.0ms (0.5%)

regimes9.0ms (0.3%)

regimes7.0ms (0.2%)

bsearch8.0ms (0.3%)

simplify4.0ms (0.1%)

soundness221.0ms (6.8%)

preprocess348.0ms (10.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	73
1	24	73
2	39	73
3	56	73
4	83	73
5	127	73
6	208	73
7	311	73
8	410	73
9	527	73
10	581	73
11	587	73

Iter	Nodes	Cost
0	14	73
1	24	73
2	39	73
3	56	73
4	83	73
5	127	73
6	208	73
7	311	73
8	410	73
9	527	73
10	581	73
11	587	73

Iter	Nodes	Cost
0	14	73
1	24	73
2	39	73
3	56	73
4	83	73
5	127	73
6	208	73
7	311	73
8	410	73
9	527	73
10	581	73
11	587	73