Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I

Time bar (total: 4.1s)

analyze0.0ms (0%)

Algorithm
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 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)

sample1.3s (33.1%)

Results
844.0ms6800×0valid
167.0ms1456×0infinite
Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-mult: 139.0ms (68.2% of total)
ival-sub: 50.0ms (24.5% of total)
const: 12.0ms (5.9% of total)
backward-pass: 3.0ms (1.5% of total)
Bogosity

preprocess84.0ms (2.1%)

Algorithm
egg-herbie
Rules
584×fma-define
153×fma-neg
95×distribute-lft-in
93×unsub-neg
91×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036320
1100316
2196300
3559296
41103296
51750296
61830296
71833296
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 z))))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 z)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 x (+.f64 (*.f64 y z) #s(literal -1 binary64)))
(*.f64 x (fma.f64 y z #s(literal -1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (fma.f64 y z #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (fma.f64 y z #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal 1 binary64))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 z)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal 1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
Symmetry

(negabs x)

(sort y z)

explain84.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
110-0-(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
00-0-x
00-0-(-.f64 #s(literal 1 binary64) (*.f64 y z))
00-0-(*.f64 y z)
00-0-z
00-0-#s(literal 1 binary64)
00-0-y
Results
45.0ms422×256valid
8.0ms90×256infinite
Compiler

Compiled 56 to 29 computations (48.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 11.0ms (62.4% of total)
ival-sub: 6.0ms (34.1% of total)
const: 1.0ms (5.7% of total)

eval1.0ms (0%)

Compiler

Compiled 17 to 11 computations (35.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Compiler

Compiled 10 to 7 computations (30% saved)

localize39.0ms (1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
95.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Results
23.0ms211×256valid
4.0ms45×256infinite
Compiler

Compiled 23 to 11 computations (52.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (54.3% of total)
ival-sub: 3.0ms (40.7% of total)
const: 1.0ms (13.6% of total)

series6.0ms (0.2%)

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

9 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(* x (- 1 (* y z)))
1.0ms
x
@0
(* x (- 1 (* y z)))
1.0ms
y
@inf
(* x (- 1 (* y z)))
1.0ms
x
@inf
(* x (- 1 (* y z)))
0.0ms
y
@-inf
(* x (- 1 (* y z)))

rewrite187.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
640×log1p-expm1-u
640×expm1-log1p-u
611×unpow-prod-down
423×prod-diff
356×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
114628
2176028
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Outputs
(+.f64 x (*.f64 x (*.f64 y (neg.f64 z))))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 y z #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) x) (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) (fma.f64 y z #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y (neg.f64 z))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 z)) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 y (neg.f64 z))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y (neg.f64 z)) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (*.f64 y (neg.f64 z))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 y (neg.f64 z)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (*.f64 y (neg.f64 z))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 y (neg.f64 z))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) x))

simplify101.0ms (2.5%)

Algorithm
egg-herbie
Rules
538×exp-prod
375×associate-*r*
337×fma-define
323×associate-*l*
273×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01172185
12691856
26921856
330281856
464891856
Stop Event
node limit
Counts
59 → 56
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))
(+.f64 x (*.f64 x (*.f64 y (neg.f64 z))))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 y z #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) x) (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) (fma.f64 y z #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y (neg.f64 z))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 z)) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 y (neg.f64 z))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y (neg.f64 z)) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (*.f64 y (neg.f64 z))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 y (neg.f64 z)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (*.f64 y (neg.f64 z))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 y (neg.f64 z))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) x))
Outputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(neg.f64 (*.f64 (*.f64 x y) z))
(*.f64 y (neg.f64 (*.f64 x z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(neg.f64 (*.f64 (*.f64 x y) z))
(*.f64 y (neg.f64 (*.f64 x z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(neg.f64 (*.f64 (*.f64 x y) z))
(*.f64 y (neg.f64 (*.f64 x z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(neg.f64 (*.f64 (*.f64 x y) z))
(*.f64 y (neg.f64 (*.f64 x z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 x (*.f64 y (neg.f64 z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) x))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 y z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 y z))))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))) #s(literal 1 binary64))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 x (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 y z #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) x) (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 x (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) (fma.f64 y z #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(pow.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) #s(literal 3 binary64))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) #s(literal 2 binary64)))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) x))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))) #s(literal 3 binary64)))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y (neg.f64 z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 z)) x))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 y (neg.f64 z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y (neg.f64 z)) x))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (*.f64 y (neg.f64 z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 y (neg.f64 z)) x))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (*.f64 y (neg.f64 z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) x))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 y (neg.f64 z))))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) x))
(+.f64 x (neg.f64 (*.f64 (*.f64 x y) z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))

eval12.0ms (0.3%)

Compiler

Compiled 677 to 335 computations (50.5% saved)

prune10.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New52456
Fresh000
Picked011
Done000
Total52557
Accuracy
100.0%
Counts
57 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) x))
48.0%
(*.f64 y (*.f64 x (neg.f64 z)))
95.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
49.3%
(neg.f64 (*.f64 (*.f64 x y) z))
50.0%
x
Compiler

Compiled 43 to 29 computations (32.6% saved)

localize67.0ms (1.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) x))
91.2%
(*.f64 (*.f64 y (neg.f64 z)) x)
90.6%
(*.f64 y (*.f64 x (neg.f64 z)))
91.4%
(*.f64 (*.f64 x y) z)
Results
45.0ms256×256valid
Compiler

Compiled 60 to 13 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 12.0ms (66.1% of total)
ival-add: 3.0ms (16.5% of total)
ival-neg: 2.0ms (11% of total)
const: 0.0ms (0% of total)

series21.0ms (0.5%)

Counts
4 → 144
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 x y) z)>
#<alt (*.f64 y (*.f64 x (neg.f64 z)))>
#<alt (*.f64 (*.f64 y (neg.f64 z)) x)>
#<alt (+.f64 x (*.f64 (*.f64 y (neg.f64 z)) x))>
Outputs
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 y z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 y z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 y z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 y z) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))>
Calls

36 calls:

TimeVariablePointExpression
5.0ms
z
@inf
(* y (* x (neg z)))
3.0ms
x
@inf
(* y (* x (neg z)))
2.0ms
x
@0
(* y (* x (neg z)))
1.0ms
z
@inf
(* (* x y) z)
1.0ms
y
@inf
(* (* x y) z)

rewrite134.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
908×log1p-expm1-u
908×expm1-log1p-u
563×log-prod
461×fma-define
203×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01898
125190
2334790
Stop Event
node limit
Counts
4 → 250
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) z)
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) x))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) x) z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) x) z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) x) z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y z))) #s(literal 1 binary64)))
(-.f64 x (*.f64 x (*.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(*.f64 x (fma.f64 y z #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y z #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(*.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
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simplify205.0ms (5%)

Algorithm
egg-herbie
Rules
505×associate-/r*
359×exp-prod
304×*-commutative
279×cube-prod
255×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039412875
190012789
2237711567
3673911567
Stop Event
node limit
Counts
394 → 248
Calls
Call 1
Inputs
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y z))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x z)) y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) z) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y z)) x) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 x z)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (*.f64 y z)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 x z)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 x y)) z))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (*.f64 y z)))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) (sqrt.f64 (*.f64 x (*.f64 y z)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (*.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 x) (*.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 (*.f64 x y)) z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (*.f64 y z)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) (sqrt.f64 (*.f64 x (*.f64 y z)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y z)) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (*.f64 x y)) x)
(fma.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (fma.f64 z (*.f64 x y) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) (*.f64 y z) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (fma.f64 z (*.f64 x y) (*.f64 x (*.f64 y z))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) (*.f64 y z) (*.f64 x (*.f64 y z))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 (*.f64 x (*.f64 y z))) x)
(fma.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (sqrt.f64 (*.f64 x z)) y) x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) z) x)
(fma.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) x) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 x z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 y z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 x) (*.f64 y z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) (*.f64 x z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (*.f64 x y)) z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (*.f64 y z)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) (sqrt.f64 (*.f64 x (*.f64 y z)))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y z)) x)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 x y)) x)
(fma.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))) (fma.f64 z (*.f64 x y) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))) (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))) (fma.f64 (neg.f64 x) (*.f64 y z) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (fma.f64 y z #s(literal 1 binary64)) x (fma.f64 z (*.f64 x y) (*.f64 x (*.f64 y z))))
(fma.f64 (fma.f64 y z #s(literal 1 binary64)) x (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (fma.f64 y z #s(literal 1 binary64)) x (fma.f64 (neg.f64 x) (*.f64 y z) (*.f64 x (*.f64 y z))))
(fma.f64 (fma.f64 y z #s(literal 1 binary64)) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (fma.f64 y z #s(literal 1 binary64)) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 1 binary64) (fma.f64 z (*.f64 x y) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 1 binary64) (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 1 binary64) (fma.f64 (neg.f64 x) (*.f64 y z) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 z (*.f64 x y) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (neg.f64 x) (*.f64 y z) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)) x)
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z)) x)
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) x)
(fma.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) z x)
(fma.f64 (*.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (*.f64 z (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) x)
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)) x (fma.f64 z (*.f64 x y) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)) x (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)) x (fma.f64 (neg.f64 x) (*.f64 y z) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 z (*.f64 x y) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 (neg.f64 x) (*.f64 y z) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z (*.f64 x y) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (neg.f64 x) (*.f64 y z) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
Outputs
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
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eval58.0ms (1.4%)

Compiler

Compiled 4314 to 1464 computations (66.1% saved)

prune76.0ms (1.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2453248
Fresh000
Picked134
Done011
Total2467253
Accuracy
100.0%
Counts
253 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)) (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
95.9%
(-.f64 x (*.f64 x (*.f64 y z)))
48.0%
(*.f64 y (*.f64 x (neg.f64 z)))
95.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
48.3%
(*.f64 x (*.f64 (neg.f64 y) z))
49.3%
(neg.f64 (*.f64 (*.f64 x y) z))
50.0%
x
Compiler

Compiled 72 to 45 computations (37.5% saved)

localize138.0ms (3.4%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
95.9%
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)) (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
91.2%
(*.f64 x (*.f64 y z))
20.0%
(fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z)))
100.0%
(-.f64 x (*.f64 x (*.f64 y z)))
91.2%
(*.f64 x (*.f64 y z))
91.2%
(*.f64 x (*.f64 (neg.f64 y) z))
Results
90.0ms211×256valid
8.0ms45×256infinite
Compiler

Compiled 88 to 18 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 12.0ms (44.5% of total)
composed: 7.0ms (25.9% of total)
ival-sub: 4.0ms (14.8% of total)
ival-add: 2.0ms (7.4% of total)
ival-neg: 2.0ms (7.4% of total)
const: 1.0ms (3.7% of total)

series29.0ms (0.7%)

Counts
6 → 144
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 (neg.f64 y) z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (-.f64 x (*.f64 x (*.f64 y z)))>
#<alt (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)) (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x z))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 y z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 y z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 y z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 y z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 y z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 y z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 y z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x y)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x y)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x y)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x y)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x y)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x y)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x y)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 y z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x z)) (*.f64 x z))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x z)) (*.f64 x z))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x z)) (*.f64 x z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x z)) (*.f64 x z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x z)) (+.f64 (*.f64 x z) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x z)) (+.f64 (*.f64 x z) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x z)) (+.f64 (*.f64 x z) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal 2 binary64) (*.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) (*.f64 x z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) (*.f64 x z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) (*.f64 x z))))))>
#<alt x>
#<alt (+.f64 x (*.f64 z (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 x y))))>
#<alt (+.f64 x (*.f64 z (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 x y))))>
#<alt (+.f64 x (*.f64 z (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 x y))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 x y)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (+.f64 (*.f64 x y) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (+.f64 (*.f64 x y) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (+.f64 (*.f64 x y) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 2 binary64) (*.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 2 binary64) (*.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 2 binary64) (*.f64 x y))))))>
Calls

54 calls:

TimeVariablePointExpression
16.0ms
x
@inf
(- x (* x (* y z)))
0.0ms
z
@-inf
(+ (* x (- 1 (* y z))) (+ (* (neg y) (* x z)) (* x (* y z))))
0.0ms
x
@-inf
(+ (* x (- 1 (* y z))) (+ (* (neg y) (* x z)) (* x (* y z))))
0.0ms
y
@-inf
(+ (* x (- 1 (* y z))) (+ (* (neg y) (* x z)) (* x (* y z))))
0.0ms
y
@0
(+ (* x (- 1 (* y z))) (+ (* (neg y) (* x z)) (* x (* y z))))

rewrite154.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
731×log1p-expm1-u
731×expm1-log1p-u
399×fma-define
210×fma-neg
204×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022189
1307167
24345159
Stop Event
node limit
Counts
6 → 310
Calls
Call 1
Inputs
(*.f64 x (*.f64 (neg.f64 y) z))
(*.f64 x (*.f64 y z))
(-.f64 x (*.f64 x (*.f64 y z)))
(fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 y z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)) (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (*.f64 x z)) #s(literal 1 binary64))
(neg.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 z) y) x)))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x z)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z))) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z))) #s(literal 2 binary64))) (-.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 y z #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))))) (exp.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z)))))))
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(log.f64 (*.f64 (exp.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))))
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(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x z))))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 z) y) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 z) y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 z) y) x))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 z) y) x) (exp.f64 x)))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 z) y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 z) y) x)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 z) y) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(hypot.f64 x (*.f64 y (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 1 binary64)))

simplify198.0ms (4.9%)

Algorithm
egg-herbie
Rules
418×distribute-lft-neg-in
415×fma-neg
394×distribute-rgt-neg-in
393×distribute-lft-out
311×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046615927
1118214064
2411613717
Stop Event
node limit
Counts
454 → 286
Calls
Call 1
Inputs
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(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))))
(*.f64 (*.f64 x (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (*.f64 x z)) (*.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 x z)) (*.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 x z)) (*.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z))) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z))) #s(literal 2 binary64))) (-.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 y z #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))))) (exp.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z)))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z)))) (exp.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z))))) (exp.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (*.f64 y z) (*.f64 y (*.f64 x z))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x z))))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 z) y) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 z) y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 z) y) x))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 z) y) x) (exp.f64 x)))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 z) y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 z) y) x)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 z) y) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(hypot.f64 x (*.f64 y (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))
(*.f64 y (fma.f64 z (neg.f64 x) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))
(*.f64 y (fma.f64 z (neg.f64 x) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))
(*.f64 y (fma.f64 z (neg.f64 x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))
(*.f64 y (fma.f64 z (neg.f64 x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))
(*.f64 y (fma.f64 z (neg.f64 x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))
(*.f64 y (fma.f64 z (neg.f64 x) (/.f64 x y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))
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eval173.0ms (4.3%)

Compiler

Compiled 5147 to 1873 computations (63.6% saved)

prune46.0ms (1.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New2851286
Fresh000
Picked033
Done044
Total2858293
Accuracy
100.0%
Counts
293 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)) (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
95.9%
(-.f64 x (*.f64 x (*.f64 y z)))
2.7%
(*.f64 z (*.f64 x y))
48.0%
(*.f64 y (*.f64 x (neg.f64 z)))
95.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
48.3%
(*.f64 x (*.f64 (neg.f64 y) z))
49.3%
(neg.f64 (*.f64 (*.f64 x y) z))
50.0%
x
Compiler

Compiled 80 to 50 computations (37.5% saved)

localize27.0ms (0.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
91.4%
(*.f64 z (*.f64 x y))
Results
16.0ms211×256valid
3.0ms45×256infinite
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 4.0ms (103.6% of total)
const: 0.0ms (0% of total)

series56.0ms (1.4%)

Counts
1 → 36
Calls
Call 1
Inputs
#<alt (*.f64 z (*.f64 x y))>
Outputs
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
Calls

9 calls:

TimeVariablePointExpression
52.0ms
z
@inf
(* z (* x y))
0.0ms
z
@0
(* z (* x y))
0.0ms
z
@-inf
(* z (* x y))
0.0ms
x
@-inf
(* z (* x y))
0.0ms
x
@inf
(* z (* x y))

rewrite68.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
488×unpow-prod-down
447×log1p-expm1-u
447×expm1-log1p-u
426×add-exp-log
410×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
110722
2123622
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 z (*.f64 x y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z (*.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (*.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z (*.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (*.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 z (*.f64 x y)))))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (*.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (*.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))) #s(literal 2 binary64)))

simplify147.0ms (3.6%)

Algorithm
egg-herbie
Rules
1002×fma-define
460×fma-neg
381×*-commutative
329×associate-*r*
293×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0701429
11221429
23231429
318461429
442471429
558901429
Stop Event
node limit
Counts
57 → 27
Calls
Call 1
Inputs
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z (*.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (*.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z (*.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (*.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 z (*.f64 x y)))))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (*.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (*.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))) #s(literal 2 binary64)))
Outputs
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(*.f64 x (*.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y)))
(*.f64 x (*.f64 y z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 x z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 x z)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal 1 binary64))
(*.f64 x (*.f64 y z))
(pow.f64 (*.f64 z (*.f64 x y)) #s(literal 1 binary64))
(*.f64 x (*.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) #s(literal 3 binary64))
(*.f64 x (*.f64 y z))
(pow.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x (*.f64 y z))
(pow.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (*.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) #s(literal 2 binary64))
(*.f64 x (*.f64 y z))
(pow.f64 (E.f64) (log.f64 (*.f64 z (*.f64 x y))))
(*.f64 x (*.f64 y z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (*.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z (*.f64 x y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 y z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (*.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 z (*.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 y z))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 y z)))))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (*.f64 y z))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))
(*.f64 x (*.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 3 binary64)))
(*.f64 x (*.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 x y))))
(*.f64 x (*.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 x y))))
(*.f64 x (*.f64 y z))
(exp.f64 (log.f64 (*.f64 z (*.f64 x y))))
(*.f64 x (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (*.f64 x y)))) #s(literal 3 binary64)))
(*.f64 x (*.f64 y z))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (*.f64 x y)))) #s(literal 1/3 binary64)))
(*.f64 x (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))) #s(literal 2 binary64)))
(*.f64 x (*.f64 y z))

eval5.0ms (0.1%)

Compiler

Compiled 291 to 100 computations (65.6% saved)

prune17.0ms (0.4%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New27027
Fresh000
Picked011
Done077
Total27835
Accuracy
100.0%
Counts
35 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)) (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
95.9%
(-.f64 x (*.f64 x (*.f64 y z)))
2.7%
(*.f64 z (*.f64 x y))
48.0%
(*.f64 y (*.f64 x (neg.f64 z)))
95.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
48.3%
(*.f64 x (*.f64 (neg.f64 y) z))
49.3%
(neg.f64 (*.f64 (*.f64 x y) z))
50.0%
x
Compiler

Compiled 147 to 77 computations (47.6% saved)

regimes28.0ms (0.7%)

Counts
9 → 2
Calls
Call 1
Inputs
x
(*.f64 z (*.f64 x y))
(neg.f64 (*.f64 (*.f64 x y) z))
(*.f64 x (*.f64 (neg.f64 y) z))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(-.f64 x (*.f64 x (*.f64 y z)))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) x))
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)) (fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x (*.f64 y z))))
Outputs
(-.f64 x (*.f64 x (*.f64 y z)))
(neg.f64 (*.f64 (*.f64 x y) z))
Calls

6 calls:

8.0ms
z
5.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
5.0ms
(*.f64 y z)
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
95.9%1x
95.9%1y
97.8%3z
98.4%2(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
98.4%2(-.f64 #s(literal 1 binary64) (*.f64 y z))
98.4%2(*.f64 y z)
Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes10.0ms (0.3%)

Counts
6 → 2
Calls
Call 1
Inputs
x
(*.f64 z (*.f64 x y))
(neg.f64 (*.f64 (*.f64 x y) z))
(*.f64 x (*.f64 (neg.f64 y) z))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(neg.f64 (*.f64 (*.f64 x y) z))
Calls

3 calls:

4.0ms
(*.f64 y z)
3.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
2.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
Results
AccuracySegmentsBranch
98.4%2(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
98.4%2(-.f64 #s(literal 1 binary64) (*.f64 y z))
98.4%2(*.f64 y z)
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes22.0ms (0.5%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 z (*.f64 x y))
(neg.f64 (*.f64 (*.f64 x y) z))
(*.f64 x (*.f64 (neg.f64 y) z))
(*.f64 y (*.f64 x (neg.f64 z)))
Outputs
(neg.f64 (*.f64 (*.f64 x y) z))
x
(neg.f64 (*.f64 (*.f64 x y) z))
Calls

3 calls:

10.0ms
x
6.0ms
y
6.0ms
z
Results
AccuracySegmentsBranch
78.0%3z
65.0%9x
81.3%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.2%)

Accuracy

Total -30.2b remaining (-94.5%)

Threshold costs -30.2b (-94.5%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f64 z (*.f64 x y))
Outputs
x
Calls

3 calls:

3.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
50.0%1x
50.0%1z
50.0%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4216612387472188e+40
1.5179128651429637e+50
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4216612387472188e+40
1.5179128651429637e+50
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch24.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
3.2011318959375257e-118
4.958319249407032e-103
4.0ms
-1.840364729030241e+83
-1.5677252206716804e+83
Results
15.0ms180×0valid
1.0ms12×0infinite
Compiler

Compiled 196 to 144 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (62.4% of total)
ival-sub: 1.0ms (20.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×*-commutative
sub-neg
+-commutative
distribute-lft-neg-in
distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032218
164218
295218
3108218
4114218
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 y z) #s(literal 20000000000000000607572056854007333781504 binary64)) (-.f64 x (*.f64 x (*.f64 y z))) (neg.f64 (*.f64 (*.f64 x y) z)))
(if (<=.f64 (*.f64 y z) #s(literal 20000000000000000607572056854007333781504 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (neg.f64 (*.f64 (*.f64 x y) z)))
(if (<=.f64 y #s(literal -179999999999999986673236714568298387131734806300016551876960443546544436751869411328 binary64)) (neg.f64 (*.f64 (*.f64 x y) z)) (if (<=.f64 y #s(literal 8473007412472669/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) x (neg.f64 (*.f64 (*.f64 x y) z))))
x
Outputs
(if (<=.f64 (*.f64 y z) #s(literal 20000000000000000607572056854007333781504 binary64)) (-.f64 x (*.f64 x (*.f64 y z))) (neg.f64 (*.f64 (*.f64 x y) z)))
(if (<=.f64 (*.f64 y z) #s(literal 20000000000000000607572056854007333781504 binary64)) (-.f64 x (*.f64 (*.f64 y z) x)) (*.f64 (*.f64 y x) (neg.f64 z)))
(if (<=.f64 (*.f64 y z) #s(literal 20000000000000000607572056854007333781504 binary64)) (-.f64 x (*.f64 (*.f64 y z) x)) (*.f64 z (neg.f64 (*.f64 y x))))
(if (<=.f64 (*.f64 y z) #s(literal 20000000000000000607572056854007333781504 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (neg.f64 (*.f64 (*.f64 x y) z)))
(if (<=.f64 (*.f64 y z) #s(literal 20000000000000000607572056854007333781504 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 (*.f64 y x) (neg.f64 z)))
(if (<=.f64 (*.f64 y z) #s(literal 20000000000000000607572056854007333781504 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 z (neg.f64 (*.f64 y x))))
(if (<=.f64 y #s(literal -179999999999999986673236714568298387131734806300016551876960443546544436751869411328 binary64)) (neg.f64 (*.f64 (*.f64 x y) z)) (if (<=.f64 y #s(literal 8473007412472669/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) x (neg.f64 (*.f64 (*.f64 x y) z))))
(if (or (<=.f64 y #s(literal -179999999999999986673236714568298387131734806300016551876960443546544436751869411328 binary64)) (not (<=.f64 y #s(literal 8473007412472669/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)))) (*.f64 (*.f64 y x) (neg.f64 z)) x)
(if (or (<=.f64 y #s(literal -179999999999999986673236714568298387131734806300016551876960443546544436751869411328 binary64)) (not (<=.f64 y #s(literal 8473007412472669/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)))) (*.f64 z (neg.f64 (*.f64 y x))) x)
x

soundness417.0ms (10.2%)

Rules
908×log1p-expm1-u
908×expm1-log1p-u
640×log1p-expm1-u
640×expm1-log1p-u
611×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01898
125190
2334790
01172185
12691856
26921856
330281856
464891856
01328
114628
2176028
Stop Event
done
node limit
node limit
node limit
Compiler

Compiled 310 to 114 computations (63.2% saved)

preprocess60.0ms (1.5%)

Remove

(negabs x)

Compiler

Compiled 400 to 208 computations (48% saved)

end0.0ms (0%)

Profiling

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