Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B

Time bar (total: 2.0s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
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 7 to 7 computations (0% saved)

sample524.0ms (26.1%)

Memory
25.7MiB live, 681.4MiB allocated
Samples
343.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-mult: 77.0ms (56.3% of total)
ival-add: 51.0ms (37.3% of total)
ival-true: 6.0ms (4.4% of total)
ival-assert: 3.0ms (2.2% of total)
Bogosity

preprocess86.0ms (4.3%)

Memory
5.2MiB live, 81.1MiB allocated
Algorithm
egg-herbie
Rules
307×fma-define
258×fmm-def
99×distribute-lft-in
92×distribute-rgt-in
84×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029254
165246
2164246
3589246
41148246
51625246
61725246
71742246
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) z)
(*.f64 (+.f64 x y) z)
(*.f64 (+.f64 (neg.f64 x) y) z)
(*.f64 (+.f64 x (neg.f64 y)) z)
(*.f64 (+.f64 x y) (neg.f64 z))
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) z))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) z))
(neg.f64 (*.f64 (+.f64 x y) (neg.f64 z)))
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 z y) x)
(*.f64 (+.f64 x z) y)
Outputs
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 (neg.f64 x) y) z)
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 (+.f64 x (neg.f64 y)) z)
(*.f64 z (-.f64 x y))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 y) x))
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) z))
(*.f64 z (-.f64 x y))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) z))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(neg.f64 (*.f64 (+.f64 x y) (neg.f64 z)))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 z y) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 x z) y)
(*.f64 y (+.f64 x z))
Symmetry

(negabs z)

(sort x y)

explain76.0ms (3.8%)

Memory
-6.5MiB live, 79.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(*.f64 (+.f64 x y) z)
00-0-(+.f64 x y)
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
50.0ms512×0valid
Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (45.9% of total)
ival-mult: 3.0ms (45.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) z)
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify6.0ms (0.3%)

Memory
10.0MiB live, 10.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) z)
Rules
fma-define
*-commutative
distribute-rgt-in
distribute-lft-in
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
11347
22147
32847
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
Outputs
(*.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z

localize82.0ms (4.1%)

Memory
-14.4MiB live, 24.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (+.f64 x y) z)
Samples
77.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (59.1% of total)
ival-add: 1.0ms (29.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
2 → 54
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x y) z)>
#<alt (+.f64 x y)>
Outputs
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 x z)>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
Calls

15 calls:

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

rewrite302.0ms (15%)

Memory
-4.6MiB live, 248.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
568×log1p-expm1-u
568×expm1-log1p-u
482×unpow-prod-down
455×prod-diff
278×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
111635
2152235
Stop Event
node limit
Counts
2 → 94
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) z)
(+.f64 x y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z))
(+.f64 (*.f64 z x) (*.f64 z y))
(+.f64 (*.f64 z y) (*.f64 z x))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y))
(pow.f64 (*.f64 (+.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) z))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z)))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x y) z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 y z))
(fma.f64 y z (*.f64 x z))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x y) (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)

simplify99.0ms (4.9%)

Memory
-9.0MiB live, 71.2MiB allocated
Algorithm
egg-herbie
Rules
577×fmm-def
467×distribute-lft-neg-in
393×distribute-rgt-neg-in
335×fma-define
316×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02554089
15544035
214823966
350193084
Stop Event
node limit
Counts
148 → 123
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z))
(+.f64 (*.f64 z x) (*.f64 z y))
(+.f64 (*.f64 z y) (*.f64 z x))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y))
(pow.f64 (*.f64 (+.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) z))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z)))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x y) z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 y z))
(fma.f64 y z (*.f64 x z))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x y) (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
Outputs
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (+.f64 y x))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (+.f64 y x))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 z (+.f64 y x))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 z (+.f64 y x))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 z x) (*.f64 z y))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y z) (*.f64 x z))
(*.f64 z (+.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) z))))
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(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 y x)

eval14.0ms (0.7%)

Memory
13.3MiB live, 13.3MiB allocated
Compiler

Compiled 1 351 to 373 computations (72.4% saved)

prune59.0ms (2.9%)

Memory
-17.3MiB live, 21.9MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1194123
Fresh000
Picked011
Done000
Total1195124
Accuracy
100.0%
Counts
124 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 z x (*.f64 z y))
98.0%
(+.f64 (*.f64 z y) (*.f64 z x))
100.0%
(*.f64 (+.f64 x y) z)
52.9%
(*.f64 z x)
54.5%
(*.f64 y z)
Compiler

Compiled 39 to 24 computations (38.5% saved)

simplify7.0ms (0.4%)

Memory
7.3MiB live, 7.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
cost-diff6400
(fma.f64 z x (*.f64 z y))
cost-diff0
(*.f64 z x)
cost-diff0
(*.f64 z y)
cost-diff128
(+.f64 (*.f64 z y) (*.f64 z x))
cost-diff0
(*.f64 z x)
cost-diff0
(*.f64 y z)
Rules
*-commutative
fma-define
+-commutative
distribute-lft-out
fma-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015149
120149
225149
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 y z)
y
z
(*.f64 z x)
z
x
(+.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z y)
z
y
(*.f64 z x)
x
(fma.f64 z x (*.f64 z y))
z
x
(*.f64 z y)
y
Outputs
(*.f64 y z)
y
z
(*.f64 z x)
z
x
(+.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 z y)
(*.f64 y z)
z
y
(*.f64 z x)
x
(fma.f64 z x (*.f64 z y))
(*.f64 z (+.f64 y x))
z
x
(*.f64 z y)
(*.f64 y z)
y

localize32.0ms (1.6%)

Memory
-1.5MiB live, 39.1MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z y)
accuracy99.2%
(fma.f64 z x (*.f64 z y))
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(*.f64 z x)
accuracy98.3%
(+.f64 (*.f64 z y) (*.f64 z x))
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(*.f64 y z)
Samples
16.0ms256×0valid
Compiler

Compiled 40 to 10 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (70.5% of total)
ival-add: 2.0ms (28.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.4%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#<alt (*.f64 y z)>
#<alt (*.f64 z x)>
#<alt (+.f64 (*.f64 z y) (*.f64 z x))>
#<alt (*.f64 z y)>
#<alt (fma.f64 z x (*.f64 z y))>
Outputs
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 x z)>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 x z)>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
Calls

36 calls:

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

rewrite120.0ms (6%)

Memory
6.0MiB live, 83.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
685×unpow-prod-down
681×log1p-expm1-u
681×expm1-log1p-u
366×log-prod
343×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01583
118183
2190283
Stop Event
node limit
Counts
5 → 224
Calls
Call 1
Inputs
(*.f64 y z)
(*.f64 z x)
(+.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z y)
(fma.f64 z x (*.f64 z y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) (cbrt.f64 (pow.f64 (exp.f64 z) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x)) (cbrt.f64 (pow.f64 (exp.f64 z) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))))
(*.f64 z (+.f64 y x))
(*.f64 z (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64)))
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 z (+.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 z) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 y x)))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (sqrt.f64 z) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x))))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x))) #s(literal 1 binary64)))
(*.f64 (+.f64 y x) z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 z (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 (*.f64 (*.f64 z (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (*.f64 z (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)))
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(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))

simplify214.0ms (10.7%)

Memory
-6.8MiB live, 187.1MiB allocated
Algorithm
egg-herbie
Rules
935×times-frac
430×distribute-lft-in
366×distribute-rgt-in
236×cancel-sign-sub-inv
195×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035110265
17639959
222009859
Stop Event
node limit
Counts
344 → 171
Calls
Call 1
Inputs
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
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(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
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(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x z)
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y z)
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(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
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(*.f64 y z)
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(*.f64 x z)
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(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) (cbrt.f64 (pow.f64 (exp.f64 z) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
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(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
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(expm1.f64 (log1p.f64 (*.f64 z x)))
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(exp.f64 (log.f64 (*.f64 z x)))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))))
(*.f64 z (+.f64 y x))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
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(*.f64 (+.f64 y x) z)
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(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(fma.f64 y z (*.f64 z x))
(fma.f64 z y (*.f64 z x))
(fma.f64 z x (*.f64 y z))
(fma.f64 x z (*.f64 y z))
(fma.f64 (*.f64 z x) #s(literal 1 binary64) (*.f64 y z))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 z x))
(fma.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 z x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 z x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 z x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) (cbrt.f64 (pow.f64 (exp.f64 z) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(+.f64 (*.f64 z x) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y x))) (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))))
(*.f64 z (+.f64 y x))
(*.f64 z (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64)))
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 z (+.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 z) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 y x)))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (sqrt.f64 z) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x))))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x))) #s(literal 1 binary64)))
(*.f64 (+.f64 y x) z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 z (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 (*.f64 (*.f64 z (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (*.f64 z (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) z) #s(literal 1/3 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 y x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (*.f64 z (*.f64 z x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 z (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (neg.f64 (*.f64 z (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (*.f64 y z)))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 z (-.f64 y x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))) (pow.f64 (exp.f64 z) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (pow.f64 (exp.f64 z) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
Outputs
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y z)
(*.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
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(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 y x)))
(*.f64 z (+.f64 x y))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (sqrt.f64 z) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 z (-.f64 x y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x z) (*.f64 z (-.f64 x y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 z (-.f64 x y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x z) (*.f64 z (-.f64 x y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 z (-.f64 y x)))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 z (-.f64 y x)))
(*.f64 (+.f64 y x) z)
(*.f64 z (+.f64 x y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 z (+.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 z (+.f64 x y))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 z (+.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 z (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 z (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (*.f64 z (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)))
(*.f64 z (+.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) z) #s(literal 1/3 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 z (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 x y)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 x y)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 7 binary64)) (cbrt.f64 (*.f64 z (+.f64 x y))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (+.f64 x y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) (cbrt.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(*.f64 z (+.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(*.f64 z (+.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 z (-.f64 x y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x z) (*.f64 z (-.f64 x y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 y x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 z (-.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 z (-.f64 x y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x z) (*.f64 z (-.f64 x y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (*.f64 z (*.f64 z x))))))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 z (-.f64 x y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x z) (*.f64 z (-.f64 x y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 z (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 z (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 z (-.f64 x y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x z) (*.f64 z (-.f64 x y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (neg.f64 (*.f64 z (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 z (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (*.f64 y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 z (-.f64 y x)))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(*.f64 z (+.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64))
(*.f64 z (+.f64 x y))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (+.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))
(*.f64 z (+.f64 x y))
(pow.f64 (/.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 z (-.f64 x y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x z) (*.f64 z (-.f64 x y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(pow.f64 (/.f64 (*.f64 z (-.f64 y x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 z (-.f64 y x)))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 z (+.f64 x y))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))
(*.f64 z (+.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y x)))))
(*.f64 z (+.f64 x y))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(*.f64 z (+.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))) (pow.f64 (exp.f64 z) y)))
(*.f64 z (+.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(*.f64 z (+.f64 x y))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x)))))
(*.f64 z (+.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (pow.f64 (exp.f64 z) x)))
(*.f64 z (+.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x)))))
(*.f64 z (+.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)))
(*.f64 z (+.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x))))
(*.f64 z (+.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y x))))
(*.f64 z (+.f64 x y))
(exp.f64 (log.f64 (*.f64 z (+.f64 y x))))
(*.f64 z (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))
(*.f64 z (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 z (+.f64 x y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)))
(*.f64 z (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(*.f64 z (+.f64 x y))

eval22.0ms (1.1%)

Memory
3.2MiB live, 46.8MiB allocated
Compiler

Compiled 2 358 to 447 computations (81% saved)

prune28.0ms (1.4%)

Memory
9.4MiB live, 47.9MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1920192
Fresh000
Picked044
Done011
Total1925197
Accuracy
100.0%
Counts
197 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 z x (*.f64 z y))
98.0%
(+.f64 (*.f64 z y) (*.f64 z x))
100.0%
(*.f64 (+.f64 x y) z)
52.9%
(*.f64 z x)
54.5%
(*.f64 y z)
Compiler

Compiled 66 to 34 computations (48.5% saved)

regimes47.0ms (2.3%)

Memory
-17.4MiB live, 21.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 y z)
(*.f64 z x)
(*.f64 (+.f64 x y) z)
(+.f64 (*.f64 z y) (*.f64 z x))
(fma.f64 z x (*.f64 z y))
Outputs
(*.f64 (+.f64 x y) z)
Calls

5 calls:

37.0ms
z
3.0ms
y
2.0ms
x
2.0ms
(+.f64 x y)
2.0ms
(*.f64 (+.f64 x y) z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(*.f64 (+.f64 x y) z)
100.0%1(+.f64 x y)
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.2%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 y z)
(*.f64 z x)
Outputs
(*.f64 z x)
(*.f64 y z)
Calls

3 calls:

2.0ms
z
2.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
84.8%2x
86.0%2y
63.1%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.2%)

Memory
7.7MiB live, 7.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
54.5%1z
54.5%1x
54.5%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch9.0ms (0.4%)

Memory
10.0MiB live, 10.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
8.723637377387162e-41
2.906817131295904e-37
Samples
4.0ms128×0valid
Compiler

Compiled 123 to 91 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (64.9% of total)
ival-mult: 1.0ms (64.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify60.0ms (3%)

Memory
-36.7MiB live, 2.4MiB allocated
Algorithm
egg-herbie
Rules
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01973
12373
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) z)
(if (<=.f64 y #s(literal 5746858278247083/23945242826029513411849172299223580994042798784118784 binary64)) (*.f64 z x) (*.f64 y z))
(*.f64 y z)
Outputs
(*.f64 (+.f64 x y) z)
(if (<=.f64 y #s(literal 5746858278247083/23945242826029513411849172299223580994042798784118784 binary64)) (*.f64 z x) (*.f64 y z))
(if (<=.f64 y #s(literal 5746858278247083/23945242826029513411849172299223580994042798784118784 binary64)) (*.f64 x z) (*.f64 y z))
(*.f64 y z)

soundness172.0ms (8.6%)

Memory
2.8MiB live, 122.2MiB allocated
Rules
577×fmm-def
467×distribute-lft-neg-in
393×distribute-rgt-neg-in
335×fma-define
316×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02554089
15544035
214823966
350193084
Stop Event
done
node limit
Compiler

Compiled 30 to 15 computations (50% saved)

preprocess28.0ms (1.4%)

Memory
35.6MiB live, 74.7MiB allocated
Remove

(sort x y)

(negabs z)

Compiler

Compiled 154 to 90 computations (41.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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