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)

sample1.3s (37%)

Results

946.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

ival-add: 167.0ms (52.9% of total)

ival-mult: 138.0ms (43.7% of total)

const: 7.0ms (2.2% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess82.0ms (2.4%)

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)

explain64.0ms (1.9%)

FPErrors

Click to see full error table

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

Results

42.0ms

512×

valid

Compiler

Compiled 55 to 23 computations (58.2% saved)

Precisions

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

ival-mult: 8.0ms (69.2% of total)

ival-add: 3.0ms (26% 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
▶	99.2%	(fma.f64 x y (*.f64 z t))
▶	98.4%	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize51.0ms (1.5%)

Algorithm

2×	egg-herbie

Localize:

Found 10 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)
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	99.2%	(fma.f64 x y (*.f64 z t))
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.6%	(+.f64 (.f64 x y) (.f64 z t))

Rules

4×	`fma-define`
3×	`fma-define`
2×	`*-commutative`
2×	`*-commutative`
1×	`fma-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	19	69
2	22	69
0	14	56
1	17	56
2	19	56
3	22	56

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Results

29.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (47.2% of total)

ival-fma: 3.0ms (35.4% of total)

ival-add: 1.0ms (11.8% of total)

const: 0.0ms (0% of total)

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

series15.0ms (0.4%)

Counts

4 → 120

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite478.0ms (13.9%)

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

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

simplify456.0ms (13.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	345	10943
1	758	10667
2	2256	10599
3	7312	10527

Stop Event

1×	node limit

Counts

307 → 167

Calls

Call 1

Inputs
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(*.f64 x y)
(.f64 x (+.f64 y (/.f64 (.f64 t z) x)))
(.f64 x (+.f64 y (/.f64 (.f64 t z) x)))
(.f64 x (+.f64 y (/.f64 (.f64 t z) x)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(*.f64 x y)
(.f64 y (+.f64 x (/.f64 (.f64 t z) y)))
(.f64 y (+.f64 x (/.f64 (.f64 t z) y)))
(.f64 y (+.f64 x (/.f64 (.f64 t z) y)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 x y)
(+.f64 (.f64 t z) (.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(*.f64 t z)
(.f64 z (+.f64 t (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 t (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 t (/.f64 (.f64 x y) z)))
(*.f64 t z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) t) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) t) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) t) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x y)
(+.f64 (.f64 t z) (.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(*.f64 t z)
(.f64 t (+.f64 z (/.f64 (.f64 x y) t)))
(.f64 t (+.f64 z (/.f64 (.f64 x y) t)))
(.f64 t (+.f64 z (/.f64 (.f64 x y) t)))
(*.f64 t z)
(.f64 #s(literal -1 binary64) (.f64 t (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(.f64 #s(literal -1 binary64) (.f64 t (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(.f64 #s(literal -1 binary64) (.f64 t (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 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 (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 #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 (.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 (.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)))))
(.f64 z (+.f64 t (.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) t) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 z (+.f64 t (.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) t) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 z (+.f64 t (.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(*.f64 x y)
(+.f64 (.f64 t z) (.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (.f64 t z) (.f64 x y))
(fma.f64 t z (*.f64 x y))
(*.f64 t z)
(.f64 t (+.f64 z (/.f64 (.f64 x y) t)))
(.f64 t (+.f64 z (.f64 x (/.f64 y t))))
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(.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 t z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #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 t z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 t z) (-.f64 (.f64 t z) (.f64 x 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 t z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #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 t z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 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 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 t z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #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 t z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 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 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 t z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #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 t z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 t z) (-.f64 (.f64 t z) (.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 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 t z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #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 t z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 t z) (-.f64 (.f64 t z) (.f64 x 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))

eval163.0ms (4.8%)

Compiler: Compiled 2613 to 827 computations (68.4% saved)

prune33.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	187	2	189
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	187	4	191

Accuracy

100.0%

Counts

191 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 x y (*.f64 z t))
✓	98.4%	(+.f64 (.f64 x y) (.f64 z t))
▶	53.9%	(*.f64 x y)
▶	50.3%	(*.f64 t z)

Compiler

Compiled 35 to 23 computations (34.3% saved)

localize35.0ms (1%)

Algorithm

2×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 t z)
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 t z)

Rules

1×	`*-commutative`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	9	21
0	8	21
1	9	21

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
(*.f64 x y)
x
y

Outputs
(*.f64 x y)
x
y

Call 2

Inputs
(*.f64 t z)
t
z

Outputs
(*.f64 t z)
t
z

Results

18.0ms

256×

valid

Compiler

Compiled 15 to 7 computations (53.3% saved)

Precisions

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

ival-mult: 4.0ms (88.9% of total)

const: 0.0ms (0% 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	z	@	0	(* t z)
0.0ms	t	@	0	(* t z)
0.0ms	t	@	inf	(* t z)
0.0ms	t	@	-inf	(* t z)
0.0ms	z	@	inf	(* t z)

rewrite444.0ms (12.9%)

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)))

simplify65.0ms (1.9%)

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)

eval20.0ms (0.6%)

Compiler: Compiled 494 to 240 computations (51.4% saved)

prune11.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	53	4	57

Accuracy

100.0%

Counts

57 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 x y (*.f64 z t))
✓	98.4%	(+.f64 (.f64 x y) (.f64 z t))
✓	53.9%	(*.f64 x y)
✓	50.3%	(*.f64 t z)

Compiler

Compiled 58 to 32 computations (44.8% saved)

regimes14.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes14.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`t`
98.4%	1	`(+.f64 (.f64 x y) (.f64 z t))`
98.4%	1	`(*.f64 x y)`
98.4%	1	`(*.f64 z t)`

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes17.0ms (0.5%)

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:

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

Results

Accuracy	Segments	Branch
73.9%	5	`x`
73.5%	3	`y`
74.7%	5	`z`
76.5%	5	`t`
78.5%	3	`(*.f64 x y)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 t z)

Outputs
(*.f64 t z)

Calls

4 calls:

1.0ms	z
0.0ms	y
0.0ms	x
0.0ms	t

Results

Accuracy	Segments	Branch
50.3%	1	`x`
50.3%	1	`z`
50.3%	1	`t`
50.3%	1	`y`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch27.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.22809543127544e+112	6.364000481031389e+118
13.0ms	-2.343561586133012e-37	-3.171034865049613e-53

Results

15.0ms

304×

valid

Compiler

Compiled 284 to 222 computations (21.8% saved)

Precisions

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

ival-mult: 3.0ms (64.9% of total)

ival-add: 2.0ms (43.3% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (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 -7391915003591355/6427752177035961102167848369364650410088811975131171341205504 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 77999999999999993694960091656810265862443303243019348401322186578187284717264485320455425665518964837917543890944 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 -7391915003591355/6427752177035961102167848369364650410088811975131171341205504 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 77999999999999993694960091656810265862443303243019348401322186578187284717264485320455425665518964837917543890944 binary64)) (.f64 t z) (*.f64 x y)))
(if (or (<=.f64 (.f64 x y) #s(literal -7391915003591355/6427752177035961102167848369364650410088811975131171341205504 binary64)) (not (<=.f64 (.f64 x y) #s(literal 77999999999999993694960091656810265862443303243019348401322186578187284717264485320455425665518964837917543890944 binary64)))) (.f64 x y) (.f64 z t))
(*.f64 t z)
(*.f64 z t)

soundness119.0ms (3.5%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	done
1×	saturated

Compiler

Compiled 56 to 23 computations (58.9% saved)

preprocess48.0ms (1.4%)

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%)

sample1.3s (37%)

preprocess82.0ms (2.4%)

explain64.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize51.0ms (1.5%)

series15.0ms (0.4%)

rewrite478.0ms (13.9%)

simplify456.0ms (13.3%)

eval163.0ms (4.8%)

prune33.0ms (0.9%)

localize35.0ms (1%)

series1.0ms (0%)

rewrite444.0ms (12.9%)

simplify65.0ms (1.9%)

eval20.0ms (0.6%)

prune11.0ms (0.3%)

regimes14.0ms (0.4%)

regimes14.0ms (0.4%)

regimes17.0ms (0.5%)

regimes3.0ms (0.1%)

bsearch27.0ms (0.8%)

simplify4.0ms (0.1%)

soundness119.0ms (3.5%)

preprocess48.0ms (1.4%)

end0.0ms (0%)

Profiling

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

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

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

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

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

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