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

Time bar (total: 3.0s)

analyze1.0ms (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 9 to 6 computations (33.3% saved)

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

sample563.0ms (19%)

Results
387.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-mult: 67.0ms (51.8% of total)
ival-add: 53.0ms (40.9% of total)
const: 7.0ms (5.4% of total)
backward-pass: 2.0ms (1.5% of total)
Bogosity

preprocess94.0ms (3.2%)

Algorithm
egg-herbie
Rules
307×fma-define
258×fma-neg
99×distribute-lft-in
92×distribute-rgt-in
87×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029254
165246
2164246
3589246
41148246
51621246
61721246
71738246
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)

explain55.0ms (1.9%)

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
Results
33.0ms512×0valid
Compiler

Compiled 46 to 22 computations (52.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (49.8% of total)
ival-add: 3.0ms (37.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

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)

simplify7.0ms (0.2%)

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

localize51.0ms (1.7%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (+.f64 x y) z)
Results
46.0ms256×0valid
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (33.6% of total)
ival-mult: 2.0ms (33.6% of total)
const: 2.0ms (33.6% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.2%)

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)
0.0ms
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)

rewrite218.0ms (7.4%)

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)

simplify224.0ms (7.6%)

Algorithm
egg-herbie
Rules
577×fma-neg
467×distribute-lft-neg-in
393×distribute-rgt-neg-in
335×fma-define
318×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02554089
15544035
214823966
350203084
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))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))))
(+.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))))
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(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)

eval16.0ms (0.5%)

Compiler

Compiled 1351 to 373 computations (72.4% saved)

prune19.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1185123
Fresh000
Picked011
Done000
Total1186124
Accuracy
100.0%
Counts
124 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(+.f64 (*.f64 z y) (*.f64 z x))
100.0%
(*.f64 (+.f64 x y) z)
52.0%
(*.f64 z x)
90.9%
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
55.1%
(*.f64 y z)
92.5%
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
Compiler

Compiled 100 to 61 computations (39% saved)

simplify280.0ms (9.4%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 z (/.f64 (*.f64 x z) y))
cost-diff0
(*.f64 x z)
cost-diff0
(/.f64 (*.f64 x z) y)
cost-diff256
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
cost-diff-6272
(+.f64 z (/.f64 (*.f64 y z) x))
cost-diff0
(*.f64 y z)
cost-diff0
(/.f64 (*.f64 y z) x)
cost-diff256
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
cost-diff0
(*.f64 z x)
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 z x)
cost-diff0
(*.f64 z y)
cost-diff128
(+.f64 (*.f64 z y) (*.f64 z x))
Rules
1224×fma-define
1074×cube-prod
904×swap-sqr
474×cube-div
451×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020302
145294
287294
3131294
4183294
5238294
61205294
72987294
84134294
94540294
105013294
115710294
125934294
136062294
146594294
156690294
166760294
177881294
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z y)
z
y
(*.f64 z x)
x
(*.f64 y z)
y
z
(*.f64 z x)
z
x
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
x
(+.f64 z (/.f64 (*.f64 y z) x))
z
(/.f64 (*.f64 y z) x)
(*.f64 y z)
y
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
y
(+.f64 z (/.f64 (*.f64 x z) y))
z
(/.f64 (*.f64 x z) y)
(*.f64 x z)
x
Outputs
(+.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 z y)
z
y
(*.f64 z x)
x
(*.f64 y z)
(*.f64 z y)
y
z
(*.f64 z x)
z
x
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (+.f64 y x))
x
(+.f64 z (/.f64 (*.f64 y z) x))
(+.f64 z (*.f64 y (/.f64 z x)))
(fma.f64 y (/.f64 z x) z)
(fma.f64 z (/.f64 y x) z)
z
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(*.f64 z (/.f64 y x))
(*.f64 y z)
(*.f64 z y)
y
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 z (+.f64 y x))
y
(+.f64 z (/.f64 (*.f64 x z) y))
(+.f64 z (*.f64 x (/.f64 z y)))
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
z
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 x z)
(*.f64 z x)
x

localize77.0ms (2.6%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(+.f64 z (/.f64 (*.f64 x z) y))
accuracy93.2%
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
accuracy89.8%
(/.f64 (*.f64 x z) y)
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(+.f64 z (/.f64 (*.f64 y z) x))
accuracy93.3%
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
accuracy92.8%
(/.f64 (*.f64 y z) x)
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(*.f64 z x)
accuracy97.3%
(+.f64 (*.f64 z y) (*.f64 z x))
Results
48.0ms256×0valid
Compiler

Compiled 84 to 15 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 13.0ms (62.9% of total)
ival-div: 4.0ms (19.4% of total)
ival-add: 4.0ms (19.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series35.0ms (1.2%)

Counts
11 → 204
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 z y) (*.f64 z x))>
#<alt (*.f64 z y)>
#<alt (*.f64 z x)>
#<alt (*.f64 y z)>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (*.f64 x z)>
#<alt (+.f64 z (/.f64 (*.f64 x z) y))>
Outputs
#<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 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 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 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 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<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 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt z>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (+.f64 (*.f64 x z) (*.f64 y z)) x)>
#<alt (/.f64 (+.f64 (*.f64 x z) (*.f64 y z)) x)>
#<alt (/.f64 (+.f64 (*.f64 x z) (*.f64 y z)) x)>
#<alt z>
#<alt z>
#<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 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 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))>
#<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 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 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 y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt z>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (*.f64 x (+.f64 (/.f64 z x) (/.f64 z y)))>
#<alt (*.f64 x (+.f64 (/.f64 z x) (/.f64 z y)))>
#<alt (*.f64 x (+.f64 (/.f64 z x) (/.f64 z y)))>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (+.f64 (*.f64 x z) (*.f64 y z)) y)>
#<alt (/.f64 (+.f64 (*.f64 x z) (*.f64 y z)) y)>
#<alt (/.f64 (+.f64 (*.f64 x z) (*.f64 y z)) y)>
#<alt z>
#<alt z>
Calls

87 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ (* x z) y)
2.0ms
y
@0
(* x (+ z (/ (* y z) x)))
2.0ms
z
@0
(* x (+ z (/ (* y z) x)))
1.0ms
z
@inf
(+ (* z y) (* z x))
1.0ms
z
@inf
(* x (+ z (/ (* y z) x)))

rewrite428.0ms (14.5%)

Algorithm
batch-egg-rewrite
Rules
1183×log1p-expm1-u
623×expm1-log1p-u
153×associate-*r*
145×add-cube-cbrt
144×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020260
1353244
25115244
Stop Event
node limit
Counts
11 → 321
Calls
Call 1
Inputs
(+.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z y)
(*.f64 z x)
(*.f64 y z)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(/.f64 (*.f64 y z) x)
(+.f64 z (/.f64 (*.f64 y z) x))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(/.f64 (*.f64 x z) y)
(*.f64 x z)
(+.f64 z (/.f64 (*.f64 x z) y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #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 (*.f64 z (+.f64 y x)) #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 (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 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (+.f64 y x)))
(*.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 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y))))))
(*.f64 (-.f64 (pow.f64 (*.f64 z y) #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 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 y x)) (-.f64 (pow.f64 (*.f64 z y) #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 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (*.f64 y (*.f64 z x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #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 z y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #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 z y) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (*.f64 z y)))
(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))
(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)))))
(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)))
(fma.f64 z y (*.f64 z x))
(fma.f64 z x (*.f64 z y))
(fma.f64 y z (*.f64 z x))
(fma.f64 x z (*.f64 z y))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 z y))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(-.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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(+.f64 (*.f64 z x) (*.f64 (*.f64 x y) (/.f64 z x)))
(+.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 x y) (/.f64 z x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x y) (/.f64 z x)) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y (/.f64 z x) z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x y) (/.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x y) (/.f64 z x)) (*.f64 (*.f64 x y) (/.f64 z x))) (*.f64 (*.f64 z x) (*.f64 (*.f64 x y) (/.f64 z x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) (/.f64 z x)) (*.f64 (*.f64 x y) (/.f64 z x)))) (-.f64 (*.f64 z x) (*.f64 (*.f64 x y) (/.f64 z x))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (*.f64 (*.f64 z (/.f64 y x)) (-.f64 (*.f64 z (/.f64 y x)) z))))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)))) (-.f64 z (*.f64 z (/.f64 y x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 z z (*.f64 (*.f64 z (/.f64 y x)) (-.f64 (*.f64 z (/.f64 y x)) z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64))) x) (-.f64 z (*.f64 z (/.f64 y x))))
(pow.f64 (*.f64 x (fma.f64 y (/.f64 z x) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y (/.f64 z x) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y (/.f64 z x) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y (/.f64 z x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y (/.f64 z x) z)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y (/.f64 z x) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (/.f64 z x) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (/.f64 z x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y (/.f64 z x) z))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y (/.f64 z x) z))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 y (/.f64 z x) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y (/.f64 z x) z))) #s(literal 1 binary64)))
(fma.f64 z x (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 x z (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 (*.f64 x y) (/.f64 z x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 z (/.f64 y x))
(*.f64 z (*.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (/.f64 z x))
(*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z (/.f64 y x)) #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 (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 y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z y)) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 (*.f64 z (/.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 z y)) (/.f64 (sqrt.f64 (*.f64 z y)) x))
(*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (sqrt.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z x)))
(*.f64 (*.f64 z (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z y))
(*.f64 (/.f64 z x) y)
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 y x))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 z (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z x))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 z y) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 z y) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z y)) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z y)) (cbrt.f64 x)))
(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 (/.f64 x y) z) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 z y) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 z (neg.f64 y)) x))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 y 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)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 z x) z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z (*.f64 z (/.f64 y x)))) (/.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)) (-.f64 z (*.f64 z (/.f64 y x)))))
(*.f64 (fma.f64 y (/.f64 z x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z x) z))
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 z x) z)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 z x) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 z x) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (/.f64 z x) z)))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) z)) (sqrt.f64 (fma.f64 y (/.f64 z x) z)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 z (/.f64 y x)) (-.f64 (*.f64 z (/.f64 y x)) z)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 z (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 z (/.f64 y x)) (-.f64 (*.f64 z (/.f64 y x)) z))) (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 z (/.f64 y x))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 z (/.f64 y x)) (-.f64 (*.f64 z (/.f64 y x)) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 z (/.f64 (/.f64 x y) z)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64))) (-.f64 z (*.f64 z (/.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 z (/.f64 y x)) (-.f64 (*.f64 z (/.f64 y x)) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 z (/.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 z (/.f64 y x)) z))
(pow.f64 (fma.f64 y (/.f64 z x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 z x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (/.f64 z x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 z x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 z x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 z x) z))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 z x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 z x) z)))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 z x) z)))
(exp.f64 (log.f64 (fma.f64 y (/.f64 z x) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 z x) z)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 z x) z)
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 z (/.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 y x))) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 z (/.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 (*.f64 z (/.f64 y x))) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (/.f64 y x)))
(+.f64 (*.f64 z y) (*.f64 y (*.f64 z (/.f64 x y))))
(+.f64 (*.f64 z y) (*.f64 (*.f64 y (*.f64 z (/.f64 x y))) #s(literal 1 binary64)))
(+.f64 (*.f64 y (*.f64 z (/.f64 x y))) (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 x (/.f64 z y) z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z (/.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 z (/.f64 x y))) (*.f64 y (*.f64 z (/.f64 x y)))) (*.f64 (*.f64 z y) (*.f64 y (*.f64 z (/.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z (/.f64 x y))) (*.f64 y (*.f64 z (/.f64 x y))))) (-.f64 (*.f64 z y) (*.f64 y (*.f64 z (/.f64 x y)))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (*.f64 (*.f64 z (/.f64 x y)) (-.f64 (*.f64 z (/.f64 x y)) z))))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64)))) (-.f64 z (*.f64 z (/.f64 x y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z z (*.f64 (*.f64 z (/.f64 x y)) (-.f64 (*.f64 z (/.f64 x y)) z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64))) y) (-.f64 z (*.f64 z (/.f64 x y))))
(pow.f64 (*.f64 y (fma.f64 x (/.f64 z y) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 x (/.f64 z y) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 x (/.f64 z y) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 x (/.f64 z y) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x (/.f64 z y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 x (/.f64 z y) z)))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 x (/.f64 z y) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x (/.f64 z y) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (/.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 x (/.f64 z y) z))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 x (/.f64 z y) z))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 x (/.f64 z y) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 x (/.f64 z y) z))) #s(literal 1 binary64)))
(fma.f64 z y (*.f64 y (*.f64 z (/.f64 x y))))
(fma.f64 y z (*.f64 y (*.f64 z (/.f64 x y))))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 y (*.f64 z (/.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (*.f64 y (*.f64 z (/.f64 x y))))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 y (*.f64 z (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x y)))) #s(literal 1 binary64))
(*.f64 z (/.f64 x y))
(*.f64 z (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 z y))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 z (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z x)) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 (sqrt.f64 (*.f64 z x)) y))
(*.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (*.f64 z (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 z x) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z x)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))
(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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 y x) z) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 z (neg.f64 x)) y))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 x y)))))
(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 (*.f64 z (/.f64 x y))) #s(literal 1 binary64)))
(-.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)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 z y) z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z (*.f64 z (/.f64 x y)))) (/.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64)) (-.f64 z (*.f64 z (/.f64 x y)))))
(*.f64 (fma.f64 x (/.f64 z y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 z y) z))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 z y) z)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) z)) (sqrt.f64 (fma.f64 x (/.f64 z y) z)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 z (/.f64 x y)) (-.f64 (*.f64 z (/.f64 x y)) z)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 z (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 z (/.f64 x y)) (-.f64 (*.f64 z (/.f64 x y)) z))) (+.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 z (/.f64 x y))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 z (/.f64 x y)) (-.f64 (*.f64 z (/.f64 x y)) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z (*.f64 z (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64))) (-.f64 z (*.f64 z (/.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 z (/.f64 x y)) (-.f64 (*.f64 z (/.f64 x y)) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 z (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 z (/.f64 x y)) z))
(pow.f64 (fma.f64 x (/.f64 z y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 z y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 z y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 z y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 z y) z))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 z y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 z y) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 z y) z)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 z y) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 z y) z)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 z y) z)
(fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) y) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 z (/.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 x y))) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 z (/.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (/.f64 x y)))

simplify572.0ms (19.3%)

Algorithm
egg-herbie
Rules
825×fma-neg
450×associate-*r*
424×cube-prod
416×exp-prod
403×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065916605
1157016208
2562016208
Stop Event
node limit
Counts
525 → 384
Calls
Call 1
Inputs
(*.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 #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)
(+.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 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)))))
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(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)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 z y) z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z (*.f64 z (/.f64 x y)))) (/.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64)) (-.f64 z (*.f64 z (/.f64 x y)))))
(*.f64 (fma.f64 x (/.f64 z y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 z y) z))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 z y) z)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) z)) (sqrt.f64 (fma.f64 x (/.f64 z y) z)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 z (/.f64 x y)) (-.f64 (*.f64 z (/.f64 x y)) z)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 z (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 z (/.f64 x y)) (-.f64 (*.f64 z (/.f64 x y)) z))) (+.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 z (/.f64 x y))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 z (/.f64 x y)) (-.f64 (*.f64 z (/.f64 x y)) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z (*.f64 z (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64))) (-.f64 z (*.f64 z (/.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 z (/.f64 x y)) (-.f64 (*.f64 z (/.f64 x y)) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 z (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 z (/.f64 x y)) z))
(pow.f64 (fma.f64 x (/.f64 z y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 z y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 z y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 z y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 z y) z))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 z y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 z y) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 z y) z)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 z y) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 z y) z)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 z y) z)
(fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) y) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 z (/.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 x y))) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 z (/.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (/.f64 x y)))
Outputs
(*.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 z x)
(+.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 (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x y) z))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x y) z))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x 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 (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x 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 (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x 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 (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x 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 z x)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.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 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y 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 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y 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 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.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 z 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 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y 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 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y 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 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x z)
(*.f64 z x)
(+.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 (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x y) z))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x y) z))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x 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 (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x 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 (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x 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 (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x y) z))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 z (/.f64 y x) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 z (/.f64 y x) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 z (/.f64 y x) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 z (/.f64 y x) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 z (/.f64 y x) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 z (/.f64 y x) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 z (/.f64 y x) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 z (/.f64 y x) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
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eval44.0ms (1.5%)

Compiler

Compiled 5898 to 1131 computations (80.8% saved)

prune79.0ms (2.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3970397
Fresh000
Picked055
Done011
Total3976403
Accuracy
100.0%
Counts
403 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(+.f64 (*.f64 z y) (*.f64 z x))
100.0%
(*.f64 (+.f64 x y) z)
52.0%
(*.f64 z x)
90.9%
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
55.1%
(*.f64 y z)
92.5%
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
Compiler

Compiled 93 to 49 computations (47.3% saved)

regimes13.0ms (0.4%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 y z)
(*.f64 z x)
(*.f64 (+.f64 x y) z)
(+.f64 (*.f64 z y) (*.f64 z x))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
Outputs
(*.f64 (+.f64 x y) z)
Calls

5 calls:

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

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
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
85.7%2x
83.4%2y
59.9%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.2%)

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:

4.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
55.1%1z
55.1%1y
55.1%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch10.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
-1.781360749339008e-75
-6.223554208203983e-78
Results
6.0ms128×0valid
Compiler

Compiled 126 to 90 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (51.7% of total)
ival-mult: 1.0ms (51.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify2.0ms (0.1%)

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 x #s(literal -7129625917170701/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) (*.f64 z x) (*.f64 y z))
(*.f64 y z)
Outputs
(*.f64 (+.f64 x y) z)
(if (<=.f64 x #s(literal -7129625917170701/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) (*.f64 z x) (*.f64 y z))
(if (<=.f64 x #s(literal -7129625917170701/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) (*.f64 x z) (*.f64 y z))
(*.f64 y z)

soundness127.0ms (4.3%)

Rules
577×fma-neg
467×distribute-lft-neg-in
393×distribute-rgt-neg-in
335×fma-define
318×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02554089
15544035
214823966
350203084
Stop Event
done
node limit
Compiler

Compiled 30 to 15 computations (50% saved)

preprocess29.0ms (1%)

Remove

(sort x y)

(negabs z)

Compiler

Compiled 154 to 90 computations (41.6% saved)

end0.0ms (0%)

Profiling

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