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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample786.0ms (21.8%)

Results

533.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-mult: 136.0ms (72.7% of total)

ival-add: 42.0ms (22.4% of total)

const: 7.0ms (3.7% of total)

backward-pass: 2.0ms (1.1% of total)

Bogosity

preprocess81.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

(sort z t)

explain206.0ms (5.7%)

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	26
↳	`(*.f64 z t)`	overflow	26

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

Results

38.0ms

512×

valid

Compiler

Compiled 66 to 30 computations (54.5% saved)

Precisions

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

ival-mult: 8.0ms (68.5% of total)

ival-add: 3.0ms (25.7% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x y (*.f64 z t))
▶	99.2%	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z t)
✓	cost-diff	0	(fma.f64 x y (*.f64 z t))
✓	cost-diff	-6272	(+.f64 (.f64 x y) (.f64 z t))
✓	cost-diff	0	(*.f64 z t)
✓	cost-diff	0	(*.f64 x y)

Rules

4×	`fma-define`
2×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	125
1	19	125
2	22	125

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

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

localize104.0ms (2.9%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(fma.f64 x y (*.f64 z t))
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.2%	(+.f64 (.f64 x y) (.f64 z t))

Results

93.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

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

ival-mult: 5.0ms (50.7% of total)

ival-fma: 3.0ms (30.4% of total)

ival-add: 1.0ms (10.1% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Counts

4 → 120

Calls

Call 1

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

Calls

36 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	x	@	inf	(* x y)

rewrite406.0ms (11.3%)

Algorithm

1×	batch-egg-rewrite

Rules

739×	`log1p-expm1-u`
739×	`expm1-log1p-u`
711×	`unpow-prod-down`
396×	`log-prod`
314×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	80
1	162	80
2	2028	80

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

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

simplify192.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

393×	`distribute-lft-in`
376×	`prod-exp`
340×	`*-commutative`
338×	`times-frac`
334×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	345	10943
1	758	10667
2	2254	10599
3	7267	10527

Stop Event

1×	node limit

Counts

307 → 170

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

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 t z)
(+.f64 (.f64 t z) (.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(fma.f64 t z (*.f64 x y))
(*.f64 x y)
(.f64 x (+.f64 y (/.f64 (.f64 t z) x)))
(.f64 x (+.f64 y (.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(.f64 x (+.f64 y (/.f64 (.f64 t z) x)))
(.f64 x (+.f64 y (.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(.f64 x (+.f64 y (/.f64 (.f64 t z) x)))
(.f64 x (+.f64 y (.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(.f64 x (+.f64 y (.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(.f64 x (+.f64 y (.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(.f64 x (+.f64 y (.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(fma.f64 t z (*.f64 x y))
(*.f64 x y)
(.f64 y (+.f64 x (/.f64 (.f64 t z) y)))
(.f64 y (+.f64 x (.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(.f64 y (+.f64 x (/.f64 (.f64 t z) y)))
(.f64 y (+.f64 x (.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(.f64 y (+.f64 x (/.f64 (.f64 t z) y)))
(.f64 y (+.f64 x (.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(.f64 y (+.f64 x (.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(.f64 y (+.f64 x (.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(.f64 y (+.f64 x (.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 x y)
(+.f64 (.f64 t z) (.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(fma.f64 t z (*.f64 x y))
(*.f64 t z)
(.f64 z (+.f64 t (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 t (.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(.f64 z (+.f64 t (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 t (.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(.f64 z (+.f64 t (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 t (.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(*.f64 t z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) t) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
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(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (*.f64 z t))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (-.f64 (.f64 x y) (.f64 t z)))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z t) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (*.f64 z t))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (-.f64 (.f64 x y) (.f64 t z)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (.f64 z t))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(fma.f64 t z (*.f64 x y))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (.f64 z t)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(fma.f64 t z (*.f64 x y))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (.f64 z t)))) (cbrt.f64 (cbrt.f64 (fma.f64 x y (.f64 z t))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(fma.f64 t z (*.f64 x y))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (.f64 z t)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(fma.f64 t z (*.f64 x y))
(.f64 (pow.f64 (pow.f64 (fma.f64 x y (.f64 z t)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 z t))))
(.f64 (cbrt.f64 (fma.f64 t z (.f64 x y))) (cbrt.f64 (pow.f64 (fma.f64 t z (*.f64 x y)) #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y (.f64 z t)))
(fma.f64 t z (*.f64 x y))
(.f64 (pow.f64 (.f64 (fma.f64 x y (.f64 z t)) (sqrt.f64 (fma.f64 x y (.f64 z t)))) #s(literal 1/3 binary64)) (pow.f64 (.f64 (fma.f64 x y (.f64 z t)) (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)))
(fma.f64 t z (*.f64 x y))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y (.f64 z t)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 t z (.f64 x y)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 t z (*.f64 x y)) #s(literal 3 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x y (.f64 z t)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y (.f64 z t))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 t z (.f64 x y)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 t z (.f64 x y))) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (*.f64 x y)) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 t z (.f64 x y)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 t z (.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 x y))) #s(literal 7 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 t z (.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 x y))) #s(literal 8 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x y (.f64 z t)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y (.f64 z t)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 t z (.f64 x y)))) (cbrt.f64 (.f64 (pow.f64 (fma.f64 t z (.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 t z (*.f64 x y))))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 t z (.f64 x y)))) (cbrt.f64 (.f64 (fma.f64 t z (.f64 x y)) (pow.f64 (sqrt.f64 (fma.f64 t z (*.f64 x y))) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 t z (.f64 x y)))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 t z (*.f64 x y))) #s(literal 5 binary64))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (.f64 z t))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(fma.f64 t z (*.f64 x y))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y (.f64 z t)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(fma.f64 t z (*.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 z t) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t z) (-.f64 (.f64 t z) (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (fma.f64 (.f64 t z) (fma.f64 t z (.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z t) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (-.f64 (.f64 x y) (.f64 t z)))
(/.f64 (+.f64 (pow.f64 (.f64 z t) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t z) (-.f64 (.f64 t z) (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (fma.f64 (.f64 t z) (fma.f64 t z (.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 z t) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 z t) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (.f64 y (*.f64 z t))))))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t z) (-.f64 (.f64 t z) (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (fma.f64 (.f64 t z) (fma.f64 t z (.f64 x (neg.f64 y))) (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 (.f64 x y) (.f64 z t)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (-.f64 (.f64 x y) (.f64 t z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z t) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t z) (-.f64 (.f64 t z) (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (fma.f64 (.f64 t z) (fma.f64 t z (.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x y) (.f64 z t))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (-.f64 (.f64 x y) (.f64 t z)))
(/.f64 (-.f64 (pow.f64 (.f64 z t) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (.f64 z t) (.f64 x y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (-.f64 (.f64 x y) (.f64 t z)))
(pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
(fma.f64 t z (*.f64 x y))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 3 binary64))
(fma.f64 t z (*.f64 x y))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 t z (*.f64 x y))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))
(fma.f64 t z (*.f64 x y))
(pow.f64 (/.f64 (fma.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 z t) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t z) (-.f64 (.f64 t z) (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (fma.f64 (.f64 t z) (fma.f64 t z (.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (-.f64 (.f64 x y) (.f64 t z)))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)))
(fma.f64 t z (*.f64 x y))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))
(fma.f64 t z (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 z t)))))
(fma.f64 t z (*.f64 x y))
(log.f64 (.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z t)))))
(fma.f64 t z (*.f64 x y))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y))) (pow.f64 (exp.f64 t) z)))
(fma.f64 t z (*.f64 x y))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(fma.f64 t z (*.f64 x y))
(log.f64 (.f64 (pow.f64 (exp.f64 t) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y)))))
(fma.f64 t z (*.f64 x y))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z t))) (pow.f64 (exp.f64 y) x)))
(fma.f64 t z (*.f64 x y))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z t))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(fma.f64 t z (*.f64 x y))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)))
(fma.f64 t z (*.f64 x y))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 z t))))
(fma.f64 t z (*.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 z t))))
(fma.f64 t z (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 z t))))
(fma.f64 t z (*.f64 x y))
(exp.f64 (.f64 (log.f64 (fma.f64 x y (.f64 z t))) #s(literal 1 binary64)))
(fma.f64 t z (*.f64 x y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x y (.f64 z t)))) #s(literal 3 binary64)))
(fma.f64 t z (*.f64 x y))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)))
(fma.f64 t z (*.f64 x y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x y (.f64 z t)))) #s(literal 2 binary64)))
(fma.f64 t z (*.f64 x y))

eval23.0ms (0.6%)

Compiler: Compiled 2670 to 513 computations (80.8% saved)

prune31.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	191	2	193
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	192	3	195

Accuracy

100.0%

Counts

195 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(+.f64 (.f64 x y) (.f64 z t))
▶	83.9%	(.f64 x (+.f64 y (.f64 t (/.f64 z x))))
▶	47.8%	(*.f64 x y)

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify172.0ms (4.8%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 y (*.f64 t (/.f64 z x)))
✓	cost-diff	-6144	(.f64 x (+.f64 y (.f64 t (/.f64 z x))))
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(*.f64 t (/.f64 z x))
	cost-diff	0	(*.f64 x y)

Rules

1082×	`cube-prod`
704×	`cube-div`
637×	`times-frac`
635×	`associate-/l/`
422×	`pow-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	143
1	27	135
2	50	135
3	75	132
4	91	126
5	123	126
6	222	126
7	533	126
8	2309	126
9	2989	126
10	3504	126
11	3773	126
12	4012	126
13	4401	126
14	5675	126
15	6324	126
16	7138	126
17	7548	126
18	7864	126

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

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

localize117.0ms (3.3%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(+.f64 y (*.f64 t (/.f64 z x)))
✓	accuracy	92.0%	(*.f64 t (/.f64 z x))
✓	accuracy	89.6%	(.f64 x (+.f64 y (.f64 t (/.f64 z x))))
	accuracy	100.0%	(*.f64 x y)

Results

24.0ms

256×

valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

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

ival-mult: 6.0ms (62.2% of total)

ival-div: 2.0ms (20.7% of total)

ival-add: 1.0ms (10.4% of total)

const: 0.0ms (0% of total)

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

series17.0ms (0.5%)

Counts

4 → 132

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	t	@	inf	(* x (+ y (* t (/ z x))))
2.0ms	x	@	0	(* x (+ y (* t (/ z x))))
1.0ms	x	@	-inf	(* x (+ y (* t (/ z x))))
1.0ms	t	@	inf	(* t (/ z x))
0.0ms	x	@	0	(* t (/ z x))

rewrite142.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`log1p-expm1-u`
1030×	`expm1-log1p-u`
533×	`log-prod`
290×	`fma-define`
170×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	106
1	190	98
2	2771	98

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

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

simplify195.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

412×	`distribute-lft-neg-in`
382×	`distribute-rgt-neg-in`
351×	`fma-neg`
302×	`associate-r`
256×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	9797
1	1146	9632
2	3829	9536

Stop Event

1×	node limit

Counts

319 → 244

Calls

Call 1

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

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

eval48.0ms (1.3%)

Compiler: Compiled 3887 to 867 computations (77.7% saved)

prune42.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	266	1	267
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	266	4	270

Accuracy

100.0%

Counts

270 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(+.f64 (.f64 x y) (.f64 z t))
✓	83.9%	(.f64 x (+.f64 y (.f64 t (/.f64 z x))))
✓	47.8%	(*.f64 x y)
▶	53.9%	(*.f64 t z)

Compiler

Compiled 38 to 25 computations (34.2% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	9	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 t z)
t
z

Outputs
(*.f64 t z)
t
z

localize19.0ms (0.5%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 t z)

Results

15.0ms

256×

valid

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (66.6% of total)

const: 1.0ms (33.3% of total)

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

series1.0ms (0%)

Counts

1 → 0

Calls

Call 1

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

Outputs

Calls

6 calls:

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

rewrite61.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`associate-r`
437×	`associate-l`
251×	`log1p-expm1-u`
251×	`expm1-log1p-u`
247×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	65	13
2	706	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 t z)

Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 t z)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 t z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (*.f64 #s(literal 2 binary64) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 t z)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 t z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t z)) (+.f64 #s(literal 1 binary64) (.f64 t z))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 t z)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t z)) (+.f64 #s(literal 1 binary64) (.f64 t z))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 t z)) #s(literal 1 binary64)))
(pow.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 2 binary64)) #s(literal 1/2 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 (E.f64) (log.f64 (*.f64 t z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 t z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 t z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 t z)))) (sqrt.f64 (log.f64 (.f64 t z))))
(sqrt.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 t z))
(log.f64 (pow.f64 (exp.f64 t) z))
(cbrt.f64 (pow.f64 (*.f64 t z) #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 (cbrt.f64 (.f64 t z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 t z))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 t z))) #s(literal 2 binary64)))

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

663×	`cancel-sign-sub-inv`
429×	`times-frac`
428×	`sub-neg`
381×	`prod-exp`
309×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	805
1	160	547
2	460	533
3	2185	533
4	4666	533

Stop Event

1×	node limit

Counts

25 → 33

Calls

Call 1

Inputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 t z)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 t z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (*.f64 #s(literal 2 binary64) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 t z)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 t z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t z)) (+.f64 #s(literal 1 binary64) (.f64 t z))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 t z)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t z)) (+.f64 #s(literal 1 binary64) (.f64 t z))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 t z)) #s(literal 1 binary64)))
(pow.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 2 binary64)) #s(literal 1/2 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 (E.f64) (log.f64 (*.f64 t z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 t z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 t z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 t z)))) (sqrt.f64 (log.f64 (.f64 t z))))
(sqrt.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 t z))
(log.f64 (pow.f64 (exp.f64 t) z))
(cbrt.f64 (pow.f64 (*.f64 t z) #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 (cbrt.f64 (.f64 t z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 t z))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 t z))) #s(literal 2 binary64)))

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

eval4.0ms (0.1%)

Compiler: Compiled 347 to 103 computations (70.3% saved)

prune15.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	33	4	37

Accuracy

100.0%

Counts

37 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(+.f64 (.f64 x y) (.f64 z t))
✓	83.9%	(.f64 x (+.f64 y (.f64 t (/.f64 z x))))
✓	47.8%	(*.f64 x y)
✓	53.9%	(*.f64 t z)

Compiler

Compiled 70 to 38 computations (45.7% saved)

regimes17.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes16.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

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

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)

regimes8.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	z
2.0ms	t
2.0ms	x
2.0ms	y
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
73.6%	3	`x`
71.8%	3	`y`
72.7%	3	`z`
73.5%	3	`t`
79.3%	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 t z)

Outputs
(*.f64 t z)

Calls

4 calls:

2.0ms	t
1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
53.9%	1	`y`
53.9%	1	`z`
53.9%	1	`t`
53.9%	1	`x`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch28.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.273718337822257e-96	1.5582033931774207e-64
12.0ms	-3.788071885125422e+66	-1.2301504944267686e+59

Results

16.0ms

320×

valid

Compiler

Compiled 298 to 233 computations (21.8% saved)

Precisions

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

ival-mult: 3.0ms (60.5% of total)

ival-add: 2.0ms (40.3% of total)

const: 0.0ms (0% of total)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`
2×	`if-if-or-not`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	146
1	35	146

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x y (*.f64 z t))
(+.f64 (.f64 x y) (.f64 z t))
(if (<=.f64 (.f64 x y) #s(literal -419999999999999998724064522654526258940734476918564140053692416 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 8003549208083295/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 t z) (*.f64 x y)))
(*.f64 t z)

Outputs
(fma.f64 x y (*.f64 z t))
(+.f64 (.f64 x y) (.f64 z t))
(+.f64 (.f64 z t) (.f64 x y))
(if (<=.f64 (.f64 x y) #s(literal -419999999999999998724064522654526258940734476918564140053692416 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 8003549208083295/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 t z) (*.f64 x y)))
(if (or (<=.f64 (.f64 x y) #s(literal -419999999999999998724064522654526258940734476918564140053692416 binary64)) (not (<=.f64 (.f64 x y) #s(literal 8003549208083295/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)))) (.f64 x y) (.f64 z t))
(*.f64 t z)
(*.f64 z t)

soundness737.0ms (20.4%)

Rules

393×	`distribute-lft-in`
376×	`prod-exp`
340×	`*-commutative`
338×	`times-frac`
334×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	464
1	96	464
2	170	464
3	374	464
4	603	464
5	813	464
6	968	464
7	990	464
8	994	464
0	345	10943
1	758	10667
2	2254	10599
3	7267	10527

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 78 to 35 computations (55.1% saved)

preprocess37.0ms (1%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 260 to 140 computations (46.2% saved)

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

analyze0.0ms (0%)

sample786.0ms (21.8%)

preprocess81.0ms (2.2%)

explain206.0ms (5.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.2%)

localize104.0ms (2.9%)

series12.0ms (0.3%)

rewrite406.0ms (11.3%)

simplify192.0ms (5.3%)

eval23.0ms (0.6%)

prune31.0ms (0.9%)

simplify172.0ms (4.8%)

localize117.0ms (3.3%)

series17.0ms (0.5%)

rewrite142.0ms (3.9%)

simplify195.0ms (5.4%)

eval48.0ms (1.3%)

prune42.0ms (1.2%)

simplify6.0ms (0.2%)

localize19.0ms (0.5%)

series1.0ms (0%)

rewrite61.0ms (1.7%)

simplify62.0ms (1.7%)

eval4.0ms (0.1%)

prune15.0ms (0.4%)

regimes17.0ms (0.5%)

regimes16.0ms (0.5%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

bsearch28.0ms (0.8%)

simplify3.0ms (0.1%)

soundness737.0ms (20.4%)

preprocess37.0ms (1%)

end0.0ms (0%)

Profiling

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

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

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