Diagrams.TwoD.Segment:bezierClip from diagrams-lib-1.3.0.3

Time bar (total: 5.8s)

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.7s (30.3%)

Results
1.5s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 877.0ms
ival-mult: 446.0ms (50.8% of total)
ival-add: 347.0ms (39.6% of total)
ival-sub: 58.0ms (6.6% of total)
ival-true: 12.0ms (1.4% of total)
ival-assert: 8.0ms (0.9% of total)
const: 7.0ms (0.8% of total)
Bogosity

preprocess209.0ms (3.6%)

Algorithm
egg-herbie
Rules
1182×fmm-def
299×fma-define
196×distribute-rgt-in
171×unsub-neg
132×sub-neg
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
040399
1100387
2237379
3683351
41702339
52858337
63224337
73264337
83268337
93268317
103911317
113911317
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 z (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(neg.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 z (-.f64 #s(literal 1 binary64) (neg.f64 y)))))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 z y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
Outputs
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(-.f64 z (*.f64 y (-.f64 z x)))
(+.f64 z (*.f64 y (-.f64 x z)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(-.f64 z (*.f64 y (-.f64 z x)))
(+.f64 z (*.f64 y (-.f64 x z)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 x) y (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))
(neg.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) (*.f64 x y)))
(-.f64 z (*.f64 y (+.f64 z x)))
(-.f64 z (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 z (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(fma.f64 x (neg.f64 y) (*.f64 z (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(-.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 x y))
(+.f64 z (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) z)
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 z)))
(-.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) (*.f64 x y))
(fma.f64 z #s(literal -1 binary64) (*.f64 y (+.f64 z x)))
(-.f64 (*.f64 y (+.f64 x z)) z)
(neg.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 z)))
(-.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) (*.f64 x y))
(fma.f64 z #s(literal -1 binary64) (*.f64 y (+.f64 z x)))
(-.f64 (*.f64 y (+.f64 x z)) z)
(neg.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 z (-.f64 #s(literal 1 binary64) (neg.f64 y)))))
(neg.f64 (fma.f64 x (neg.f64 y) (*.f64 z (-.f64 #s(literal 1 binary64) (neg.f64 y)))))
(-.f64 (*.f64 x y) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(fma.f64 z (-.f64 #s(literal -1 binary64) y) (*.f64 x y))
(neg.f64 (fma.f64 y (-.f64 z x) z))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))))
(fma.f64 (neg.f64 x) y (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))
(neg.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) (*.f64 x y)))
(-.f64 z (*.f64 y (+.f64 z x)))
(-.f64 z (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(fma.f64 y x (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(-.f64 z (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 z y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 z y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 x z (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 y (*.f64 z (-.f64 x y)))
(fma.f64 z (-.f64 x y) y)

explain169.0ms (2.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
80-0-(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 z (-.f64 #s(literal 1 binary64) y))
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))nan-rescue80
(*.f64 x y)overflow34
(*.f64 z (-.f64 #s(literal 1 binary64) y))overflow34
Confusion
Predicted +Predicted -
+80
-0248
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+800
-00248
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0248
18
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
120.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 10.0ms (47.3% of total)
ival-sub: 7.0ms (33.1% of total)
ival-add: 2.0ms (9.5% of total)
ival-true: 1.0ms (4.7% of total)
const: 1.0ms (4.7% of total)
ival-assert: 1.0ms (4.7% of total)

eval1.0ms (0%)

Compiler

Compiled 39 to 16 computations (59% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 z (*.f64 y (-.f64 z x)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify40.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(-.f64 z (*.f64 y (-.f64 z x)))
cost-diff0
(-.f64 z x)
cost-diff0
(*.f64 y (-.f64 z x))
Rules
298×fmm-def
246×fma-define
47×sub-neg
43×associate--r+
39×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01278
12178
24878
314274
430374
554874
685774
7113674
8124474
9125274
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 z (*.f64 y (-.f64 z x)))
z
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
x
Outputs
(-.f64 z (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 x z) z)
z
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
x

localize24.0ms (0.4%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 z (*.f64 y (-.f64 z x)))
accuracy100.0%
(-.f64 z x)
accuracy100.0%
(*.f64 y (-.f64 z x))
Results
18.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (53.1% of total)
ival-mult: 2.0ms (35.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Counts
3 → 81
Calls
Call 1
Inputs
#<alt (*.f64 y (-.f64 z x))>
#<alt (-.f64 z x)>
#<alt (-.f64 z (*.f64 y (-.f64 z x)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 x y)>
#<alt (-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) y))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) y))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) y))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))>
#<alt z>
#<alt (+.f64 z (*.f64 y (-.f64 x z)))>
#<alt (+.f64 z (*.f64 y (-.f64 x z)))>
#<alt (+.f64 z (*.f64 y (-.f64 x z)))>
#<alt (*.f64 y (-.f64 x z))>
#<alt (*.f64 y (-.f64 (+.f64 x (/.f64 z y)) z))>
#<alt (*.f64 y (-.f64 (+.f64 x (/.f64 z y)) z))>
#<alt (*.f64 y (-.f64 (+.f64 x (/.f64 z y)) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1 binary64) (-.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1 binary64) (-.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1 binary64) (-.f64 z x)))))>
#<alt (-.f64 z (*.f64 y z))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 y z))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 y z))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 y z))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (-.f64 (/.f64 z x) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (-.f64 (/.f64 z x) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (-.f64 (/.f64 z x) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 y z)) x)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 y z)) x)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 y z)) x)) y)))>
Calls

24 calls:

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

rewrite275.0ms (4.8%)

Algorithm
batch-egg-rewrite
Rules
983×prod-diff
834×log1p-expm1-u
834×expm1-log1p-u
364×fma-define
146×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01266
115066
2222366
Stop Event
node limit
Counts
3 → 224
Calls
Call 1
Inputs
(*.f64 y (-.f64 z x))
(-.f64 z x)
(-.f64 z (*.f64 y (-.f64 z x)))
Outputs
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 z x))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 z x))
(pow.f64 (*.f64 y (-.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 y (neg.f64 x)))
(fma.f64 z y (*.f64 (neg.f64 x) y))
(+.f64 z (neg.f64 x))
(+.f64 z (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 z x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
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(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y (-.f64 z x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y (-.f64 z x)))) (fma.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y (-.f64 z x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y (-.f64 z x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (-.f64 z x))) z)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (-.f64 z x) z)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z x)) z)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)) z)

simplify255.0ms (4.4%)

Algorithm
egg-herbie
Rules
725×distribute-lft-in
587×times-frac
375×fmm-def
335×distribute-lft-neg-in
282×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052111209
113519198
237099147
Stop Event
node limit
Counts
305 → 286
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y z)
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 y z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) x)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
z
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x y)
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) y))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) y))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) y))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
z
(+.f64 z (*.f64 y (-.f64 x z)))
(+.f64 z (*.f64 y (-.f64 x z)))
(+.f64 z (*.f64 y (-.f64 x z)))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 (+.f64 x (/.f64 z y)) z))
(*.f64 y (-.f64 (+.f64 x (/.f64 z y)) z))
(*.f64 y (-.f64 (+.f64 x (/.f64 z y)) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1 binary64) (-.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1 binary64) (-.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1 binary64) (-.f64 z x)))))
(-.f64 z (*.f64 y z))
(-.f64 (+.f64 z (*.f64 x y)) (*.f64 y z))
(-.f64 (+.f64 z (*.f64 x y)) (*.f64 y z))
(-.f64 (+.f64 z (*.f64 x y)) (*.f64 y z))
(*.f64 x y)
(*.f64 x (-.f64 (/.f64 z x) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (-.f64 (/.f64 z x) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (-.f64 (/.f64 z x) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 y z)) x)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 y z)) x)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 y z)) x)) y)))
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 z x))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 z x))
(pow.f64 (*.f64 y (-.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 y (neg.f64 x)))
(fma.f64 z y (*.f64 (neg.f64 x) y))
(+.f64 z (neg.f64 x))
(+.f64 z (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 z x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 z x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 z x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 z x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (-.f64 z x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) z)
(*.f64 (-.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 z x))
(*.f64 (cbrt.f64 (-.f64 z x)) (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z x)))
(*.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (-.f64 z x)))
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (-.f64 (sqrt.f64 z) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 z x))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 z x)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 z (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 z (neg.f64 x)))
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(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))
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(sqrt.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.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)))
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(fma.f64 z #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 z x) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
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(fma.f64 (-.f64 z x) #s(literal 1 binary64) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) z (neg.f64 x))
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(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 z x) (neg.f64 y)) (*.f64 (-.f64 z x) (neg.f64 y)))) (-.f64 z (*.f64 (-.f64 z x) (neg.f64 y))))
(pow.f64 (-.f64 z (*.f64 y (-.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 z (*.f64 y (-.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 z (*.f64 y (-.f64 z x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 z (*.f64 y (-.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 z (*.f64 y (-.f64 z x))))))
(cbrt.f64 (pow.f64 (-.f64 z (*.f64 y (-.f64 z x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 z (*.f64 y (-.f64 z x)))))
(log1p.f64 (expm1.f64 (-.f64 z (*.f64 y (-.f64 z x)))))
(exp.f64 (log.f64 (-.f64 z (*.f64 y (-.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 z (*.f64 y (-.f64 z x)))) #s(literal 1 binary64)))
(fma.f64 y (neg.f64 (-.f64 z x)) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 (-.f64 z x) (neg.f64 y)))
(fma.f64 z #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (-.f64 z x) (neg.f64 y) z)
(fma.f64 (-.f64 z (*.f64 y (-.f64 z x))) #s(literal 1 binary64) (fma.f64 (neg.f64 y) (-.f64 z x) (*.f64 y (-.f64 z x))))
(fma.f64 (-.f64 z (*.f64 y (-.f64 z x))) #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(fma.f64 (-.f64 z (*.f64 y (-.f64 z x))) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(fma.f64 #s(literal 1 binary64) z (*.f64 (-.f64 z x) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 z (*.f64 y (-.f64 z x))) (fma.f64 (neg.f64 y) (-.f64 z x) (*.f64 y (-.f64 z x))))
(fma.f64 #s(literal 1 binary64) (-.f64 z (*.f64 y (-.f64 z x))) (fma.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(fma.f64 #s(literal 1 binary64) (-.f64 z (*.f64 y (-.f64 z x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (neg.f64 y)) z)
(fma.f64 (cbrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) (pow.f64 (cbrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (-.f64 z x) (*.f64 y (-.f64 z x))))
(fma.f64 (cbrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) (pow.f64 (cbrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) #s(literal 2 binary64)) (fma.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(fma.f64 (cbrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) (pow.f64 (cbrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) (fma.f64 (neg.f64 y) (-.f64 z x) (*.f64 y (-.f64 z x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) (fma.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (-.f64 z x) (neg.f64 y)))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (-.f64 z x) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) (sqrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) (fma.f64 (neg.f64 y) (-.f64 z x) (*.f64 y (-.f64 z x))))
(fma.f64 (sqrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) (sqrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) (fma.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(fma.f64 (sqrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) (sqrt.f64 (-.f64 z (*.f64 y (-.f64 z x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (neg.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (-.f64 z x) (neg.f64 y)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) (-.f64 z x) (*.f64 y (-.f64 z x))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) z)) (fma.f64 (neg.f64 y) (-.f64 z x) (*.f64 y (-.f64 z x))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) z)) (fma.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(fma.f64 (neg.f64 y) (-.f64 z x) z)
(fma.f64 (neg.f64 (-.f64 z x)) y z)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))) (sqrt.f64 (*.f64 y (-.f64 z x))) z)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 z x) (neg.f64 y))) (cbrt.f64 (*.f64 (-.f64 z x) (neg.f64 y)))) (cbrt.f64 (*.f64 (-.f64 z x) (neg.f64 y))) z)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) (neg.f64 y))) (sqrt.f64 (*.f64 (-.f64 z x) (neg.f64 y))) z)
(fma.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z x)) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y (-.f64 z x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y (-.f64 z x)))) (fma.f64 (neg.f64 y) (-.f64 z x) (*.f64 y (-.f64 z x))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y (-.f64 z x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y (-.f64 z x)))) (fma.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y (-.f64 z x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y (-.f64 z x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (-.f64 z x))) z)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (-.f64 z x) z)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z x)) z)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)) z)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (neg.f64 x)) z)))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (-.f64 y (*.f64 y (/.f64 x z))))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (neg.f64 x)) z)))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (-.f64 y (*.f64 y (/.f64 x z))))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (neg.f64 x)) z)))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (-.f64 y (*.f64 y (/.f64 x z))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (neg.f64 x)) z)))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (-.f64 y (*.f64 y (/.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (neg.f64 x)) z)))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (-.f64 y (*.f64 y (/.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (neg.f64 x)) z)))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (-.f64 y (*.f64 y (/.f64 x z))))
(*.f64 y z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 x y)
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 y (neg.f64 x)))
(fma.f64 y (-.f64 x z) z)
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 y (neg.f64 x)))
(fma.f64 y (-.f64 x z) z)
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 y (neg.f64 x)))
(fma.f64 y (-.f64 x z) z)
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(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y (-.f64 z x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y (-.f64 z x)))) (fma.f64 (*.f64 (-.f64 z x) (neg.f64 y)) #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 y (neg.f64 x)))
(fma.f64 y (-.f64 x z) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y (-.f64 z x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y (-.f64 z x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 y (neg.f64 x)))
(fma.f64 y (-.f64 x z) z)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (-.f64 z x))) z)
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 y (neg.f64 x)))
(fma.f64 y (-.f64 x z) z)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (-.f64 z x) z)
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 y (neg.f64 x)))
(fma.f64 y (-.f64 x z) z)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z x)) z)
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 y (neg.f64 x)))
(fma.f64 y (-.f64 x z) z)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)) z)
(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 y (neg.f64 x)))
(fma.f64 y (-.f64 x z) z)

eval47.0ms (0.8%)

Compiler

Compiled 5478 to 801 computations (85.4% saved)

prune41.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2824286
Fresh000
Picked101
Done000
Total2834287
Accuracy
100.0%
Counts
287 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(-.f64 z (*.f64 y (neg.f64 x)))
60.1%
(-.f64 z (*.f64 y z))
66.2%
(*.f64 y (-.f64 x z))
44.6%
(*.f64 x y)
Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify37.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff-6208
(-.f64 z (*.f64 y (neg.f64 x)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 y (neg.f64 x))
cost-diff0
(*.f64 y z)
cost-diff0
(-.f64 z (*.f64 y z))
cost-diff0
(-.f64 x z)
cost-diff0
(*.f64 y (-.f64 x z))
cost-diff0
(*.f64 x y)
Rules
228×fma-define
187×fmm-def
33×distribute-lft-neg-in
33×cancel-sign-sub-inv
32×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
018174
138170
273165
3193163
4399163
5647163
6892163
7944163
8948163
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x y)
x
y
(*.f64 y (-.f64 x z))
y
(-.f64 x z)
x
z
(-.f64 z (*.f64 y z))
z
(*.f64 y z)
y
(-.f64 z (*.f64 y (neg.f64 x)))
z
(*.f64 y (neg.f64 x))
y
(neg.f64 x)
x
Outputs
(*.f64 x y)
x
y
(*.f64 y (-.f64 x z))
y
(-.f64 x z)
x
z
(-.f64 z (*.f64 y z))
(*.f64 z (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
z
(*.f64 y z)
y
(-.f64 z (*.f64 y (neg.f64 x)))
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
z
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
y
(neg.f64 x)
x

localize46.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y (neg.f64 x))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(-.f64 z (*.f64 y (neg.f64 x)))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(-.f64 z (*.f64 y z))
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(*.f64 y (-.f64 x z))
accuracy100.0%
(*.f64 x y)
Results
35.0ms256×0valid
Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (59.8% of total)
ival-sub: 4.0ms (29.9% of total)
ival-neg: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series64.0ms (1.1%)

Counts
8 → 141
Calls
Call 1
Inputs
#<alt (*.f64 x y)>
#<alt (*.f64 y (-.f64 x z))>
#<alt (-.f64 x z)>
#<alt (-.f64 z (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (-.f64 z (*.f64 y (neg.f64 x)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 z y) z))>
#<alt (*.f64 y (-.f64 (/.f64 z y) z))>
#<alt (*.f64 y (-.f64 (/.f64 z y) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.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 z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))>
Calls

51 calls:

TimeVariablePointExpression
50.0ms
y
@0
(* y (- x z))
2.0ms
y
@inf
(* y (- x z))
1.0ms
z
@-inf
(* y (- x z))
0.0ms
z
@inf
(- z (* y z))
0.0ms
x
@0
(* x y)

rewrite162.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
795×log1p-expm1-u
795×expm1-log1p-u
571×fma-define
230×fmm-def
204×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018130
1267119
24057115
Stop Event
node limit
Counts
8 → 386
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 y (-.f64 x z))
(-.f64 x z)
(-.f64 z (*.f64 y z))
(*.f64 y z)
(*.f64 y (neg.f64 x))
(neg.f64 x)
(-.f64 z (*.f64 y (neg.f64 x)))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(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)))
(+.f64 (*.f64 x y) (*.f64 y (neg.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 x z)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 x z))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (+.f64 x z))
(pow.f64 (*.f64 y (-.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (-.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 y (neg.f64 z)))
(fma.f64 x (neg.f64 y) (*.f64 y (neg.f64 z)))
(fma.f64 y x (*.f64 y (neg.f64 z)))
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(fma.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 y) x z)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x y))) (fma.f64 x y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x z)
(fma.f64 (*.f64 y #s(literal -1 binary64)) x z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) x z)

simplify256.0ms (4.4%)

Algorithm
egg-herbie
Rules
653×fmm-def
390×distribute-lft-neg-in
368×distribute-rgt-neg-in
303×associate-*l*
264×distribute-lft-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066013833
1145812358
2459412306
Stop Event
node limit
Counts
527 → 470
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
z
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (-.f64 (/.f64 z y) z))
(*.f64 y (-.f64 (/.f64 z y) z))
(*.f64 y (-.f64 (/.f64 z y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
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(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 x y)
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(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)))
(+.f64 (*.f64 x y) (*.f64 y (neg.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 x z)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 x z))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (+.f64 x z))
(pow.f64 (*.f64 y (-.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (-.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 y (neg.f64 z)))
(fma.f64 x (neg.f64 y) (*.f64 y (neg.f64 z)))
(fma.f64 y x (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 y (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x y))) (*.f64 y (neg.f64 z)))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y (neg.f64 z)))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y (neg.f64 z)))
(fma.f64 (neg.f64 y) x (*.f64 y (neg.f64 z)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 y (neg.f64 z)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) x (*.f64 y (neg.f64 z)))
(+.f64 x (neg.f64 z))
(+.f64 x (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (-.f64 x z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(+.f64 (-.f64 x z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (-.f64 x z) (+.f64 (neg.f64 z) z))
(+.f64 (neg.f64 z) x)
(*.f64 (-.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x z))
(*.f64 (cbrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x z)))
(*.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 (-.f64 x z)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 x z))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64)))))
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(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(fma.f64 (neg.f64 z) y z)
(fma.f64 #s(literal -1 binary64) (*.f64 y z) z)
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z z)) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(fma.f64 (neg.f64 y) z z)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) z)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (neg.f64 z))) (cbrt.f64 (*.f64 y (neg.f64 z)))) (cbrt.f64 (*.f64 y (neg.f64 z))) z)
(fma.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) (sqrt.f64 (*.f64 y (neg.f64 z))) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y z))) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y z))) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)) z)
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) z (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) z (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) z (fma.f64 (neg.f64 z) y (*.f64 y z)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) z z)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) z)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 z) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(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)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) z)
(+.f64 z (*.f64 x y))
(+.f64 (fma.f64 x y z) (fma.f64 x y (*.f64 x y)))
(+.f64 (fma.f64 x y z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x y z))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x y z)))
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y z) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y z) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y z) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (fma.f64 x y z))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x y z)))
(pow.f64 (fma.f64 x y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y z))))
(cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(hypot.f64 z (*.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(exp.f64 (log.f64 (fma.f64 x y z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) #s(literal 1 binary64)))
(fma.f64 x y z)
(fma.f64 x (neg.f64 y) z)
(fma.f64 y x z)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (fma.f64 x y z) #s(literal 1 binary64) (fma.f64 x y (*.f64 x y)))
(fma.f64 (fma.f64 x y z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y z) (fma.f64 x y (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (cbrt.f64 (fma.f64 x y z)) (cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (fma.f64 x y (*.f64 x y)))
(fma.f64 (cbrt.f64 (fma.f64 x y z)) (cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x y z)) (fma.f64 x y (*.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x y))) z)
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (fma.f64 x y (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z)
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) z)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 x y (*.f64 x y)))
(fma.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) z)
(fma.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (fma.f64 x y (*.f64 x y)))
(fma.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 y) x z)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x y))) (fma.f64 x y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x z)
(fma.f64 (*.f64 y #s(literal -1 binary64)) x z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) x z)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(fma.f64 y x (*.f64 (neg.f64 y) z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(fma.f64 y x (*.f64 (neg.f64 y) z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(fma.f64 y x (*.f64 (neg.f64 y) z))
(*.f64 y (-.f64 x z))
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (-.f64 y (*.f64 z (/.f64 y x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (-.f64 y (*.f64 z (/.f64 y x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (-.f64 y (*.f64 z (/.f64 y x))))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (-.f64 y (*.f64 z (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (-.f64 y (*.f64 z (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (-.f64 y (*.f64 z (/.f64 y x))))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(fma.f64 y x (*.f64 (neg.f64 y) z))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
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(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 x (neg.f64 y) z)
(-.f64 z (*.f64 y x))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x z)
(fma.f64 x (neg.f64 y) z)
(-.f64 z (*.f64 y x))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x z)
(fma.f64 x (neg.f64 y) z)
(-.f64 z (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(-.f64 z (*.f64 x (neg.f64 y)))
(fma.f64 y x z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)
(-.f64 z (*.f64 x (neg.f64 y)))
(fma.f64 y x z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(-.f64 z (*.f64 x (neg.f64 y)))
(fma.f64 y x z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)
(-.f64 z (*.f64 x (neg.f64 y)))
(fma.f64 y x z)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 x (neg.f64 y) z)
(-.f64 z (*.f64 y x))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 x (neg.f64 y) z)
(-.f64 z (*.f64 y x))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) x z)
(-.f64 z (*.f64 x (neg.f64 y)))
(fma.f64 y x z)

eval53.0ms (0.9%)

Compiler

Compiled 5747 to 954 computations (83.4% saved)

prune393.0ms (6.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4673470
Fresh000
Picked134
Done000
Total4686474
Accuracy
100.0%
Counts
474 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.1%
(-.f64 z (*.f64 y z))
78.3%
(+.f64 (*.f64 x y) z)
26.9%
(*.f64 (neg.f64 y) z)
66.2%
(*.f64 y (-.f64 x z))
44.6%
(*.f64 x y)
36.3%
z
Compiler

Compiled 41 to 27 computations (34.1% saved)

simplify25.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 (*.f64 x y) z)
cost-diff0
(*.f64 x y)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) z)
Rules
106×fma-define
95×fmm-def
20×sub-neg
18×cancel-sign-sub-inv
16×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01480
12580
23680
34980
45980
57680
610380
713180
814280
917380
1018880
1124980
1233780
1342880
1446880
1547680
Stop Event
saturated
Calls
Call 1
Inputs
z
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(+.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
Outputs
z
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(neg.f64 y)
y
z
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(fma.f64 y x z)
(*.f64 x y)
(*.f64 y x)
x
y
z

localize92.0ms (1.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(+.f64 (*.f64 x y) z)
accuracy100.0%
(*.f64 (neg.f64 y) z)
accuracy100.0%
(neg.f64 y)
Results
85.0ms256×0valid
Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 66.0ms (93.7% of total)
ival-neg: 3.0ms (4.3% of total)
ival-add: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (*.f64 (neg.f64 y) z)>
#<alt (neg.f64 y)>
#<alt (+.f64 (*.f64 x y) z)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 z x)))>
#<alt (*.f64 x (+.f64 y (/.f64 z x)))>
#<alt (*.f64 x (+.f64 y (/.f64 z x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
Calls

18 calls:

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

rewrite95.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
811×prod-diff
679×log1p-expm1-u
679×expm1-log1p-u
365×log-prod
249×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01443
116335
2215935
Stop Event
node limit
Counts
3 → 128
Calls
Call 1
Inputs
(*.f64 (neg.f64 y) z)
(neg.f64 y)
(+.f64 (*.f64 x y) z)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) (cbrt.f64 (pow.f64 (exp.f64 z) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(neg.f64 (*.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(-.f64 z (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 y x z) #s(literal 1 binary64))
(*.f64 (fma.f64 y x z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x z))
(*.f64 (cbrt.f64 (fma.f64 y x z)) (pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x z)))
(*.f64 (sqrt.f64 (fma.f64 y x z)) (sqrt.f64 (fma.f64 y x z)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 y x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y x) z) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 y x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y x) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (fma.f64 y x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x z))
(pow.f64 (fma.f64 y x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 y x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 y x) z) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x z))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (/.f64 (exp.f64 z) (pow.f64 (exp.f64 y) x)))
(log.f64 (/.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 y) x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x z)))
(log1p.f64 (expm1.f64 (fma.f64 y x z)))
(exp.f64 (log.f64 (fma.f64 y x z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x z))) #s(literal 2 binary64)))
(fma.f64 y x z)
(fma.f64 z #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y z)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) z)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)

simplify121.0ms (2.1%)

Algorithm
egg-herbie
Rules
457×associate-/l*
340×distribute-lft-in
337×exp-prod
300×*-commutative
291×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03113919
16463871
220853859
364623859
Stop Event
node limit
Counts
200 → 159
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 x y)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) (cbrt.f64 (pow.f64 (exp.f64 z) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(neg.f64 (*.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(-.f64 z (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 y x z) #s(literal 1 binary64))
(*.f64 (fma.f64 y x z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x z))
(*.f64 (cbrt.f64 (fma.f64 y x z)) (pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x z)))
(*.f64 (sqrt.f64 (fma.f64 y x z)) (sqrt.f64 (fma.f64 y x z)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 y x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y x) z) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 y x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y x) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (fma.f64 y x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x z))
(pow.f64 (fma.f64 y x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 y x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 y x) z) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x z))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (/.f64 (exp.f64 z) (pow.f64 (exp.f64 y) x)))
(log.f64 (/.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 y) x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x z)))
(log1p.f64 (expm1.f64 (fma.f64 y x z)))
(exp.f64 (log.f64 (fma.f64 y x z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x z))) #s(literal 2 binary64)))
(fma.f64 y x z)
(fma.f64 z #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y z)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) z)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
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(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(fma.f64 y x z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 y) x)))
(fma.f64 y x z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(fma.f64 y x z)
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(fma.f64 y x z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 z)))
(fma.f64 y x z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(fma.f64 y x z)
(log.f64 (/.f64 (exp.f64 z) (pow.f64 (exp.f64 y) x)))
(-.f64 z (*.f64 y x))
(log.f64 (/.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(-.f64 z (*.f64 y x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 y) x)))
(-.f64 z (*.f64 y x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(-.f64 z (*.f64 y x))
(cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)))
(fma.f64 y x z)
(expm1.f64 (log1p.f64 (fma.f64 y x z)))
(fma.f64 y x z)
(log1p.f64 (expm1.f64 (fma.f64 y x z)))
(fma.f64 y x z)
(exp.f64 (log.f64 (fma.f64 y x z)))
(fma.f64 y x z)
(exp.f64 (*.f64 (log.f64 (fma.f64 y x z)) #s(literal 1 binary64)))
(fma.f64 y x z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x z))) #s(literal 3 binary64)))
(fma.f64 y x z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y x z))) #s(literal 1/3 binary64)))
(fma.f64 y x z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x z))) #s(literal 2 binary64)))
(fma.f64 y x z)
(fma.f64 y x z)
(fma.f64 z #s(literal 1 binary64) (*.f64 y x))
(fma.f64 y x z)
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) z)
(fma.f64 y x z)
(fma.f64 #s(literal 1 binary64) z (*.f64 y x))
(fma.f64 y x z)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) z)
(fma.f64 y x z)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) z)
(fma.f64 y x z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) z)
(fma.f64 y x z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 y x z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 y x))
(fma.f64 y x z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 y x z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 y x z)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) z)
(fma.f64 y x z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y x))
(fma.f64 y x z)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 y x z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) z)
(fma.f64 y x z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 y x z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 y x z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(fma.f64 y x z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 y x z)

eval21.0ms (0.4%)

Compiler

Compiled 1611 to 429 computations (73.4% saved)

prune366.0ms (6.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1750175
Fresh000
Picked033
Done033
Total1756181
Accuracy
100.0%
Counts
181 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.1%
(-.f64 z (*.f64 y z))
78.3%
(+.f64 (*.f64 x y) z)
26.9%
(*.f64 (neg.f64 y) z)
66.2%
(*.f64 y (-.f64 x z))
44.6%
(*.f64 x y)
36.3%
z
Compiler

Compiled 89 to 48 computations (46.1% saved)

regimes15.0ms (0.3%)

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

4 calls:

4.0ms
y
4.0ms
z
3.0ms
x
3.0ms
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 (neg.f64 y) z)
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 x y) z)
(-.f64 z (*.f64 y z))
(-.f64 z (*.f64 y (neg.f64 x)))
Outputs
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 x y) z)
(*.f64 y (-.f64 x z))
Calls

3 calls:

4.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
86.6%3x
99.4%3y
91.2%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 (neg.f64 y) z)
(*.f64 y (-.f64 x z))
Outputs
(*.f64 y (-.f64 x z))
z
(*.f64 y (-.f64 x z))
Calls

2 calls:

2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
70.7%3z
86.7%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Counts
3 → 4
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 (neg.f64 y) z)
Outputs
(*.f64 (neg.f64 y) z)
(*.f64 x y)
z
(*.f64 x y)
Calls

3 calls:

3.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
63.5%4z
58.5%3x
69.3%4y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
Outputs
(*.f64 x y)
z
(*.f64 x y)
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
65.2%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
z
Outputs
z
Calls

3 calls:

1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
36.3%1x
36.3%1z
36.3%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch39.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
5.829532023628506e-6
0.00010514628280975528
18.0ms
-2446497801.602144
-18715.95576667249
Results
21.0ms256×0valid
Compiler

Compiled 303 to 206 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (64.3% of total)
ival-sub: 2.0ms (16.1% of total)
ival-add: 1.0ms (8% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
3.788601549316583e-25
1.0866229633107843e-17
14.0ms
-1.3267301654030308e-24
-2.106583259809137e-32
Results
19.0ms288×0valid
Compiler

Compiled 267 to 194 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (57.2% of total)
ival-sub: 2.0ms (22.9% of total)
ival-add: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch44.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
3.788601549316583e-25
1.0866229633107843e-17
15.0ms
-1.3267301654030308e-24
-2.106583259809137e-32
12.0ms
-1.684015816252857e+64
-3.408968865267006e+62
Results
28.0ms400×0valid
Compiler

Compiled 336 to 253 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (42.9% of total)
ival-sub: 4.0ms (28.6% of total)
ival-add: 2.0ms (14.3% of total)
ival-true: 1.0ms (7.1% of total)
const: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch118.0ms (2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
100.0ms
3.788601549316583e-25
1.0866229633107843e-17
15.0ms
-1.3267301654030308e-24
-2.106583259809137e-32
Results
104.0ms288×0valid
Compiler

Compiled 231 to 176 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (58.7% of total)
ival-sub: 2.0ms (23.5% of total)
ival-add: 1.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify29.0ms (0.5%)

Algorithm
egg-herbie
Rules
90×unsub-neg
55×neg-mul-1
44×distribute-lft-neg-in
28×distribute-neg-out
25×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049292
182292
2103292
3119292
4141292
5166292
6189292
7249292
8363292
9431292
10442292
11456292
12466292
13480292
14488292
15490292
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 z (*.f64 y (-.f64 z x)))
(if (<=.f64 y #s(literal -19000 binary64)) (*.f64 y (-.f64 x z)) (if (<=.f64 y #s(literal 1936908127739503/18446744073709551616 binary64)) (+.f64 (*.f64 x y) z) (*.f64 y (-.f64 x z))))
(if (<=.f64 y #s(literal -8920298079412249/178405961588244985132285746181186892047843328 binary64)) (*.f64 y (-.f64 x z)) (if (<=.f64 y #s(literal 4361529361169255/5192296858534827628530496329220096 binary64)) z (*.f64 y (-.f64 x z))))
(if (<=.f64 y #s(literal -4799999999999999985417880258908871530751251164783590172042199040 binary64)) (*.f64 (neg.f64 y) z) (if (<=.f64 y #s(literal -3811162509514511/21778071482940061661655974875633165533184 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 552958846246525/10633823966279326983230456482242756608 binary64)) z (*.f64 x y))))
(if (<=.f64 y #s(literal -3122104327794287/178405961588244985132285746181186892047843328 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 8166776806102523/170141183460469231731687303715884105728 binary64)) z (*.f64 x y)))
z
Outputs
(-.f64 z (*.f64 y (-.f64 z x)))
(if (<=.f64 y #s(literal -19000 binary64)) (*.f64 y (-.f64 x z)) (if (<=.f64 y #s(literal 1936908127739503/18446744073709551616 binary64)) (+.f64 (*.f64 x y) z) (*.f64 y (-.f64 x z))))
(if (or (<=.f64 y #s(literal -19000 binary64)) (not (<=.f64 y #s(literal 1936908127739503/18446744073709551616 binary64)))) (*.f64 y (-.f64 x z)) (+.f64 z (*.f64 y x)))
(if (<=.f64 y #s(literal -8920298079412249/178405961588244985132285746181186892047843328 binary64)) (*.f64 y (-.f64 x z)) (if (<=.f64 y #s(literal 4361529361169255/5192296858534827628530496329220096 binary64)) z (*.f64 y (-.f64 x z))))
(if (or (<=.f64 y #s(literal -8920298079412249/178405961588244985132285746181186892047843328 binary64)) (not (<=.f64 y #s(literal 4361529361169255/5192296858534827628530496329220096 binary64)))) (*.f64 y (-.f64 x z)) z)
(if (<=.f64 y #s(literal -4799999999999999985417880258908871530751251164783590172042199040 binary64)) (*.f64 (neg.f64 y) z) (if (<=.f64 y #s(literal -3811162509514511/21778071482940061661655974875633165533184 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 552958846246525/10633823966279326983230456482242756608 binary64)) z (*.f64 x y))))
(if (<=.f64 y #s(literal -4799999999999999985417880258908871530751251164783590172042199040 binary64)) (*.f64 z (neg.f64 y)) (if (or (<=.f64 y #s(literal -3811162509514511/21778071482940061661655974875633165533184 binary64)) (not (<=.f64 y #s(literal 552958846246525/10633823966279326983230456482242756608 binary64)))) (*.f64 y x) z))
(if (<=.f64 y #s(literal -3122104327794287/178405961588244985132285746181186892047843328 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 8166776806102523/170141183460469231731687303715884105728 binary64)) z (*.f64 x y)))
(if (or (<=.f64 y #s(literal -3122104327794287/178405961588244985132285746181186892047843328 binary64)) (not (<=.f64 y #s(literal 8166776806102523/170141183460469231731687303715884105728 binary64)))) (*.f64 y x) z)
z

soundness851.0ms (14.8%)

Rules
1182×fmm-def
795×log1p-expm1-u
795×expm1-log1p-u
725×distribute-lft-in
653×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040399
1100387
2237379
3683351
41702339
52858337
63224337
73264337
83268337
93268317
103911317
113911317
018130
1267119
24057115
052111209
113519198
237099147
066013833
1145812358
2459412306
Stop Event
done
node limit
node limit
node limit
saturated
Compiler

Compiled 311 to 124 computations (60.1% saved)

preprocess48.0ms (0.8%)

Compiler

Compiled 202 to 114 computations (43.6% saved)

end0.0ms (0%)

Profiling

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