Metrics for Numeric.Integration.TanhSinh:simpson from integration-0.2.1

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Results

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

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

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.4s (35.8%)

Results

1.1s	7275×	256	valid
154.0ms	981×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

Operation ival-mult, time spent: 127.0ms, 52.0% of total-time

Operation ival-add, time spent: 102.0ms, 42.0% of total-time

Operation const, time spent: 17.0ms, 7.0% of total-time

Bogosity

preprocess190.0ms (5%)

Algorithm

1×	egg-herbie

Rules

83×	`fma-neg`
78×	`fma-define`
40×	`distribute-lft-neg-in`
35×	`associate-r`
27×	`cancel-sign-sub-inv`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	141
1	58	133
2	153	133
3	382	133
4	540	133
5	628	133

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(*.f64 x (+.f64 y y))
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(*.f64 x (+.f64 y y))
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (+.f64 y y))
(.f64 (.f64 #s(literal 2 binary64) y) (neg.f64 x))
(.f64 x (.f64 y #s(literal -2 binary64)))
(*.f64 x (+.f64 (neg.f64 y) (neg.f64 y)))
(.f64 (.f64 #s(literal 2 binary64) y) (neg.f64 x))
(.f64 x (.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (+.f64 y y)))
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(neg.f64 (*.f64 x (+.f64 (neg.f64 y) (neg.f64 y))))
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 x x))
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 x (.f64 y #s(literal 2 binary64)))

Symmetry

(negabs x)

(negabs y)

(sort x y)

Results

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

Operation ival-mult, time spent: 8.0ms, 55.0% of total-time

Operation ival-add, time spent: 6.0ms, 41.0% of total-time

Operation const, time spent: 1.0ms, 7.0% of total-time

eval1.0ms (0%)

Results

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(*.f64 x (+.f64 y y))

Results

Compiler

Compiled 7 to 4 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

localize45.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 x (+.f64 y y))

Results

Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions

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

Operation ival-mult, time spent: 4.0ms, 54.0% of total-time

Operation ival-add, time spent: 3.0ms, 40.0% of total-time

Operation const, time spent: 1.0ms, 13.0% of total-time

series8.0ms (0.2%)

Counts

1 → 24

Calls

Call 1

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

Outputs
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>

Calls

6 calls:

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

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

rewrite325.0ms (8.6%)

Algorithm

1×	batch-egg-rewrite

Rules

416×	`prod-diff`
406×	`log1p-expm1-u`
406×	`expm1-log1p-u`
381×	`unpow-prod-down`
380×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	98	16
2	1394	7

Stop Event

1×	node limit

Counts

1 → 99

Calls

Call 1

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

Outputs
(+.f64 y y)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 x y) (.f64 x y))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x y)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x y)))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y))
(+.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) y) (cbrt.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (.f64 x y) (.f64 x y)))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 10/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (log.f64 (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (+.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x)))))
(fma.f64 x y (*.f64 x y))
(fma.f64 y x (*.f64 x y))
(fma.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 y #s(literal 1 binary64) y)
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x y) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) y y)
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 x y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x y))
(fma.f64 (.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x y))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x y))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x y))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x y))

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
18×	`fma-undefine`
10×	`associate-/l*`
10×	`unpow2`
8×	`count-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	4294968587
1	509	4294968587

Stop Event

1×

unsound

Counts

123 → 125

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(+.f64 y y)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 x y) (.f64 x y))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x y)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x y)))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y))
(+.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) y) (cbrt.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (.f64 x y) (.f64 x y)))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 10/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (log.f64 (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (+.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x)))))
(fma.f64 x y (*.f64 x y))
(fma.f64 y x (*.f64 x y))
(fma.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 y #s(literal 1 binary64) y)
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x y) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) y y)
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 x y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x y))
(fma.f64 (.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x y))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x y))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x y))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x y))

Outputs
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(+.f64 y y)
(*.f64 y #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(+.f64 (.f64 x y) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x y)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x y)))
(*.f64 y #s(literal -2 binary64))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y))
(*.f64 y #s(literal -2 binary64))
(+.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64)))
(*.f64 y #s(literal -2 binary64))
(+.f64 (.f64 (.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 y #s(literal -2 binary64))
(+.f64 (.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 y #s(literal -2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
#s(literal -2 binary64)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
#s(literal -2 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
#s(literal -2 binary64)
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal -2 binary64)
(/.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) y) (cbrt.f64 (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 y (cbrt.f64 (fma.f64 y y #s(literal -2 binary64)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 y y #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
#s(literal -2 binary64)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
#s(literal -2 binary64)
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal -2 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (.f64 x y) (.f64 x y)))
#s(literal -2 binary64)
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
#s(literal -2 binary64)
(/.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
#s(literal -2 binary64)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 10/3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 7/3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/6 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -3 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal -1/3 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
#s(literal -2 binary64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
#s(literal -2 binary64)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
#s(literal -2 binary64)
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(hypot.f64 (sqrt.f64 y) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)))
(hypot.f64 (sqrt.f64 (.f64 y #s(literal -2 binary64))) (sqrt.f64 (.f64 y #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
#s(literal -2 binary64)
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (log.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -2 binary64) (exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (+.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 #s(literal -2 binary64) (exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x)))))
(.f64 #s(literal -2 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (log.f64 (cbrt.f64 x)))))
(fma.f64 x y (*.f64 x y))
(*.f64 y #s(literal -2 binary64))
(fma.f64 y x (*.f64 x y))
(*.f64 y #s(literal -2 binary64))
(fma.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 y #s(literal -2 binary64))
(fma.f64 y #s(literal 1 binary64) y)
(fma.f64 y #s(literal -2 binary64) y)
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y))
(*.f64 y #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x y) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x y)))
(*.f64 y #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) y y)
(fma.f64 y #s(literal -2 binary64) y)
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x y))
(*.f64 y #s(literal -2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (.f64 y (cbrt.f64 x)) (.f64 y #s(literal -2 binary64)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (cbrt.f64 y) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (.f64 x (cbrt.f64 y)) (.f64 y #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x y))
(fma.f64 (sqrt.f64 x) (.f64 y (sqrt.f64 x)) (.f64 y #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x y))
(fma.f64 (sqrt.f64 y) (.f64 x (sqrt.f64 y)) (.f64 y #s(literal -2 binary64)))
(fma.f64 (.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 y #s(literal -2 binary64))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 y #s(literal -2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal -2 binary64))) #s(literal -2 binary64)) (cbrt.f64 (.f64 y #s(literal -2 binary64))) (*.f64 y #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 y #s(literal -2 binary64))) (sqrt.f64 (.f64 y #s(literal -2 binary64))) (*.f64 y #s(literal -2 binary64)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x y))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (cbrt.f64 x) (.f64 y #s(literal -2 binary64)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 y #s(literal -2 binary64)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) (cbrt.f64 y) (.f64 y #s(literal -2 binary64)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x y))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 y #s(literal -2 binary64)))

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

eval45.0ms (1.2%)

Results

Compiler

Compiled 1060 to 717 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune24.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	122	4	126

Accuracy

100.0%

Counts

126 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.8%	(+.f64 y y)
✓	99.6%	(*.f64 x (+.f64 y y))
▶	100.0%	(.f64 #s(literal 2 binary64) (.f64 x y))
▶	1.7%	#s(literal -2 binary64)

Results

Compiler

Compiled 22 to 15 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

localize64.0ms (1.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 x y))

Results

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-mult, time spent: 7.0ms, 64.0% of total-time

Operation ival-add, time spent: 2.0ms, 18.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

series2.0ms (0.1%)

Counts

1 → 0

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>

Outputs

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* 2 (* x y))
0.0ms	x	@	inf	(* 2 (* x y))
0.0ms	y	@	-inf	(* 2 (* x y))
0.0ms	x	@	-inf	(* 2 (* x y))
0.0ms	y	@	inf	(* 2 (* x y))

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

rewrite130.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

408×	`unpow-prod-down`
361×	`log1p-expm1-u`
361×	`expm1-log1p-u`
346×	`add-exp-log`
334×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	88	19
2	1006	19

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 x y))

Outputs
(+.f64 (.f64 x y) (.f64 x y))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))) (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x)))))
(sqrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

simplify117.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

771×	`fma-define`
655×	`fma-neg`
413×	`distribute-lft-out`
344×	`prod-exp`
332×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	578
1	128	572
2	300	572
3	1470	572
4	3758	572
5	5836	572

Stop Event

1×	node limit

Counts

22 → 32

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 x y))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))) (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x)))))
(sqrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))

Outputs
(+.f64 (.f64 x y) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 y #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))) (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 y (.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (.f64 y #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 2 binary64)))

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

eval14.0ms (0.4%)

Results

Compiler

Compiled 335 to 234 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune11.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	32	4	36

Accuracy

100.0%

Counts

36 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.8%	(+.f64 y y)
✓	99.6%	(*.f64 x (+.f64 y y))
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 x y))
✓	1.7%	#s(literal -2 binary64)

Results

Compiler

Compiled 38 to 23 computations (39.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes29.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
(+.f64 y y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(*.f64 x (+.f64 y y))

Outputs
(.f64 #s(literal 2 binary64) (.f64 x y))

Calls

4 calls:

17.0ms	x
5.0ms	y
3.0ms	(+.f64 y y)
3.0ms	(*.f64 x (+.f64 y y))

Results

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

Results

Compiler

Compiled 18 to 11 computations (38.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes9.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
(+.f64 y y)

Outputs
(+.f64 y y)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
5.8%	1	`x`
5.8%	1	`y`
5.8%	1	`(+.f64 y y)`

Results

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)

Outputs
#s(literal -2 binary64)

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
1.7%	1	`x`
1.7%	1	`y`

Results

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	14	33

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 x y))
(+.f64 y y)
#s(literal -2 binary64)

Outputs
(.f64 #s(literal 2 binary64) (.f64 x y))
(+.f64 y y)
#s(literal -2 binary64)

Results

Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

soundness1.3s (33.7%)

Rules

416×	`prod-diff`
406×	`log1p-expm1-u`
406×	`expm1-log1p-u`
381×	`unpow-prod-down`
380×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	4294968587
1	509	4294968587
0	9	19
1	98	16
2	1394	7

Stop Event

1×	node limit
1×	unsound

Results

Compiler

Compiled 454 to 209 computations (54% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

end0.0ms (0%)

preprocess86.0ms (2.3%)

Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 204 to 142 computations (30.4% saved)

analyze0.0ms (0%)

sample1.4s (35.8%)

preprocess190.0ms (5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize45.0ms (1.2%)

series8.0ms (0.2%)

rewrite325.0ms (8.6%)

simplify42.0ms (1.1%)

eval45.0ms (1.2%)

prune24.0ms (0.6%)

localize64.0ms (1.7%)

series2.0ms (0.1%)

rewrite130.0ms (3.4%)

simplify117.0ms (3.1%)

eval14.0ms (0.4%)

prune11.0ms (0.3%)

regimes29.0ms (0.8%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

simplify5.0ms (0.1%)

soundness1.3s (33.7%)

end0.0ms (0%)

preprocess86.0ms (2.3%)

Profiling