Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

Time bar (total: 2.4s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%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)

sample1.2s (50.9%)

Results
714.0ms5960×0valid
182.0ms2296×0infinite
Precisions
Click to see histograms. Total time spent on operations: 315.0ms
ival-mult: 250.0ms (79.4% of total)
ival-add: 50.0ms (15.9% of total)
const: 12.0ms (3.8% of total)
backward-pass: 4.0ms (1.3% of total)
Bogosity

preprocess142.0ms (6%)

Algorithm
1×egg-herbie
Rules
837×fma-define
554×fma-neg
143×unsub-neg
114×distribute-lft-neg-in
104×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028212
195196
2276196
3788196
41499196
52581196
62976196
73094196
83126196
93136196
103137196
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x (neg.f64 y))))
(neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x (neg.f64 y)))))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 y y) (*.f64 y x)))
Outputs
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 (-.f64 y x) (*.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 (-.f64 y x) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(*.f64 #s(literal -2 binary64) (*.f64 x (+.f64 x (neg.f64 y))))
(*.f64 (*.f64 x (-.f64 x y)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 y x)))
(neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x (neg.f64 y)))))
(*.f64 #s(literal -2 binary64) (*.f64 x (+.f64 x (neg.f64 y))))
(*.f64 (*.f64 x (-.f64 x y)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 y x)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 y y) (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 y x)))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))

explain82.0ms (3.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-0-(+.f64 (*.f64 x x) (*.f64 x y))
00-0-x
00-0-(*.f64 x y)
00-0-(*.f64 x x)
00-0-(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
00-0-#s(literal 2 binary64)
00-0-y
Results
35.0ms368×256valid
13.0ms144×256infinite
Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 11.0ms (73.2% of total)
ival-add: 3.0ms (20% of total)
const: 1.0ms (6.7% of total)

eval1.0ms (0%)

Compiler

Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize35.0ms (1.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
Results
19.0ms184×256valid
6.0ms72×256infinite
Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (72.1% of total)
ival-add: 2.0ms (24% of total)
const: 1.0ms (12% of total)

series4.0ms (0.2%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* (+ x y) (* 2 x))
1.0ms
y
@0
(* (+ x y) (* 2 x))
1.0ms
y
@inf
(* (+ x y) (* 2 x))
1.0ms
y
@-inf
(* (+ x y) (* 2 x))
1.0ms
x
@0
(* (+ x y) (* 2 x))

rewrite182.0ms (7.7%)

Algorithm
1×batch-egg-rewrite
Rules
598×log1p-expm1-u
598×expm1-log1p-u
575×unpow-prod-down
455×prod-diff
317×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
111928
2160928
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x #s(literal 2 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 (*.f64 x #s(literal 2 binary64)) x))

simplify118.0ms (5%)

Algorithm
1×egg-herbie
Rules
622×distribute-lft-in
614×distribute-rgt-in
505×fma-define
366×exp-prod
330×*-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01221734
12851734
26881734
318151720
454661708
579221708
Stop Event
1×node limit
Counts
57 → 53
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x #s(literal 2 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 (*.f64 x #s(literal 2 binary64)) x))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 (+.f64 x y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x #s(literal 2 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) (-.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))

eval13.0ms (0.6%)

Compiler

Compiled 641 to 387 computations (39.6% saved)

prune10.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New51253
Fresh000
Picked011
Done000
Total51354
Accuracy
100.0%
Counts
54 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.5%
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓100.0%
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
▶58.0%
(*.f64 #s(literal 2 binary64) (*.f64 x y))
Compiler

Compiled 28 to 19 computations (32.1% saved)

localize72.0ms (3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓96.5%
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
45.0ms222×256valid
5.0ms34×256infinite
Compiler

Compiled 35 to 19 computations (45.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 22.0ms (78.7% of total)
composed: 4.0ms (14.3% of total)
ival-add: 2.0ms (7.2% of total)
const: 1.0ms (3.6% of total)

series4.0ms (0.2%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) y))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+ (* (* x 2) x) (* (* x 2) y))
1.0ms
y
@0
(+ (* (* x 2) x) (* (* x 2) y))
1.0ms
x
@inf
(+ (* (* x 2) x) (* (* x 2) y))
0.0ms
y
@inf
(+ (* (* x 2) x) (* (* x 2) y))
0.0ms
x
@-inf
(+ (* (* x 2) x) (* (* x 2) y))

rewrite75.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
492×unpow-prod-down
469×log1p-expm1-u
469×expm1-log1p-u
450×add-exp-log
399×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01239
111028
2128028
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))))
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 2 binary64)))

simplify151.0ms (6.4%)

Algorithm
1×egg-herbie
Rules
494×fma-define
390×fma-neg
383×prod-exp
381×associate-/l*
271×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01422351
13362281
212052245
341682228
476702228
Stop Event
1×node limit
Counts
63 → 79
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))))
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (+.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 x) (+.f64 x y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) (log.f64 (E.f64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))) #s(literal 3 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))) (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y)))))
(/.f64 (+.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (*.f64 #s(literal 8 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal 8 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 3 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(pow.f64 (E.f64) (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y)))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 x y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(exp.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 1/3 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))

eval24.0ms (1%)

Compiler

Compiled 1328 to 832 computations (37.3% saved)

prune22.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New79079
Fresh000
Picked022
Done011
Total79382
Accuracy
100.0%
Counts
82 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓96.5%
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓100.0%
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
✓58.0%
(*.f64 #s(literal 2 binary64) (*.f64 x y))
Compiler

Compiled 61 to 38 computations (37.7% saved)

regimes7.0ms (0.3%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
Calls

4 calls:

2.0ms
y
2.0ms
x
2.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
2.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
100.0%1(+.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes1.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
Calls

2 calls:

1.0ms
y
0.0ms
x
Results
AccuracySegmentsBranch
58.0%1x
58.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01347
11847
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
Outputs
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))

soundness184.0ms (7.8%)

Rules
837×fma-define
554×fma-neg
143×unsub-neg
114×distribute-lft-neg-in
104×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028212
195196
2276196
3788196
41499196
52581196
62976196
73094196
83126196
93136196
103137196
Stop Event
1×done
1×saturated
Compiler

Compiled 62 to 33 computations (46.8% saved)

preprocess33.0ms (1.4%)

Compiler

Compiled 68 to 44 computations (35.3% saved)

end0.0ms (0%)

Profiling

Loading profile data...