SynthBasics:oscSampleBasedAux from YampaSynth-0.2

Time bar (total: 7.4s)

analyze0.0ms (0%)

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

Compiled 9 to 8 computations (11.1% saved)

sample645.0ms (8.7%)

Results
410.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 183.0ms
ival-mult: 66.0ms (36% of total)
ival-sub: 65.0ms (35.5% of total)
ival-add: 41.0ms (22.4% of total)
ival-true: 7.0ms (3.8% of total)
ival-assert: 5.0ms (2.7% of total)
Bogosity

preprocess200.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1176×fmm-def
318×fma-define
241×distribute-rgt-in
170×distribute-lft-in
161×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036377
178321
2237317
3836317
41874317
53193317
63490317
73522317
83522317
94157317
104157317
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(+.f64 x (*.f64 y (-.f64 z x)))
(+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x))))
(+.f64 x (*.f64 (neg.f64 y) (-.f64 z x)))
(+.f64 x (*.f64 y (-.f64 (neg.f64 z) x)))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x)))))
(neg.f64 (+.f64 x (*.f64 (neg.f64 y) (-.f64 z x))))
(neg.f64 (+.f64 x (*.f64 y (-.f64 (neg.f64 z) x))))
(+.f64 y (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 y (-.f64 x z)))
(+.f64 x (*.f64 z (-.f64 y x)))
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x))))
(-.f64 (*.f64 y (+.f64 x z)) x)
(fma.f64 y (+.f64 x z) (neg.f64 x))
(+.f64 x (*.f64 (neg.f64 y) (-.f64 z x)))
(+.f64 x (*.f64 (-.f64 z x) (neg.f64 y)))
(-.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 x z) x)
(+.f64 x (*.f64 y (-.f64 (neg.f64 z) x)))
(-.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (-.f64 (neg.f64 x) z) x)
(neg.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x)))))
(+.f64 x (*.f64 y (-.f64 (neg.f64 z) x)))
(-.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (-.f64 (neg.f64 x) z) x)
(neg.f64 (+.f64 x (*.f64 (neg.f64 y) (-.f64 z x))))
(neg.f64 (+.f64 x (*.f64 (-.f64 z x) (neg.f64 y))))
(-.f64 (*.f64 y (-.f64 z x)) x)
(neg.f64 (fma.f64 y (-.f64 x z) x))
(neg.f64 (+.f64 x (*.f64 y (-.f64 (neg.f64 z) x))))
(+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x))))
(-.f64 (*.f64 y (+.f64 x z)) x)
(fma.f64 y (+.f64 x z) (neg.f64 x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 z (*.f64 y (-.f64 x z)))
(fma.f64 y (-.f64 x z) z)
(+.f64 x (*.f64 z (-.f64 y x)))
(fma.f64 z (-.f64 y x) x)

explain74.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x (*.f64 y (-.f64 z x)))
00-0-y
00-0-(*.f64 y (-.f64 z x))
00-0-(-.f64 z x)
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
30.0ms512×0valid
Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (39.8% of total)
ival-sub: 3.0ms (29.9% of total)
ival-add: 2.0ms (19.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

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

Compiled 10 to 6 computations (40% saved)

simplify508.0ms (6.8%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 x (*.f64 y (-.f64 z x)))
✓cost-diff0
(-.f64 z x)
✓cost-diff0
(*.f64 y (-.f64 z x))
Rules
272×fma-define
247×fmm-def
52×cancel-sign-sub-inv
48×distribute-rgt-in
41×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01278
11774
23174
35974
410774
518174
629374
748974
887774
9110874
10120874
11121574
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
x
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
x
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z

localize21.0ms (0.3%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 z x)
✓accuracy100.0%
(+.f64 x (*.f64 y (-.f64 z x)))
✓accuracy100.0%
(*.f64 y (-.f64 z x))
Results
15.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (39.4% of total)
ival-mult: 2.0ms (39.4% of total)
ival-add: 1.0ms (19.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
3 → 78
Calls
Call 1
Inputs
#<alt (*.f64 y (-.f64 z x))>
#<alt (-.f64 z x)>
#<alt (+.f64 x (*.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 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 y (-.f64 z x))>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))>
#<alt (*.f64 y (-.f64 z x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
Calls

24 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
(* y (- z x))
1.0ms
y
@inf
(+ x (* y (- z x)))
1.0ms
y
@0
(* y (- z x))
1.0ms
z
@inf
(* y (- z x))
0.0ms
x
@inf
(* y (- z x))

rewrite289.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
806×log1p-expm1-u
806×expm1-log1p-u
654×unpow-prod-down
367×log-prod
363×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01266
114662
2213362
Stop Event
1×node limit
Counts
3 → 216
Calls
Call 1
Inputs
(*.f64 y (-.f64 z x))
(-.f64 z x)
(+.f64 x (*.f64 y (-.f64 z x)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 z 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (-.f64 z x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))) #s(literal 2 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 (neg.f64 x) z)
(+.f64 #s(literal 0 binary64) (-.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) (cbrt.f64 (exp.f64 (-.f64 z x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 z x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (-.f64 z x) #s(literal 1 binary64))
(*.f64 (-.f64 z x) (log.f64 (exp.f64 #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 (cbrt.f64 (-.f64 z x)) (pow.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 z x))) #s(literal 2 binary64)))
(*.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 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 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 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (-.f64 (sqrt.f64 z) (sqrt.f64 x)))
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(pow.f64 (/.f64 (-.f64 x (*.f64 y (-.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (-.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 z x)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 z x)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(fma.f64 y (-.f64 z x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (-.f64 z x)))
(fma.f64 (-.f64 z x) y x)
(fma.f64 (*.f64 y (-.f64 z x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (-.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 z x)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (-.f64 z x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (-.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (-.f64 z x)) x)
(fma.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (sqrt.f64 (-.f64 z x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 (*.f64 y (-.f64 z x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 z x)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)) x)
(fma.f64 (*.f64 (-.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)

simplify135.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
392×fmm-def
326×cancel-sign-sub-inv
299×unswap-sqr
274×distribute-lft-neg-in
274×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053210154
111869240
236589114
Stop Event
1×node limit
Counts
294 → 296
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 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
x
(*.f64 y (-.f64 z x))
(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
(*.f64 y (-.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))
(*.f64 y z)
(*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))
(*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))
(*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 z 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (-.f64 z x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))) #s(literal 2 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 (neg.f64 x) z)
(+.f64 #s(literal 0 binary64) (-.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) (cbrt.f64 (exp.f64 (-.f64 z x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 z x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (-.f64 z x) #s(literal 1 binary64))
(*.f64 (-.f64 z x) (log.f64 (exp.f64 #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 (cbrt.f64 (-.f64 z x)) (pow.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 z x))) #s(literal 2 binary64)))
(*.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 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 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 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (-.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 z x))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 z x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 z x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) (cbrt.f64 (cbrt.f64 (-.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 z x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 z x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 z x)))
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(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 z x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 z x)) #s(literal 1/3 binary64)))
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(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 z x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 z x))) #s(literal 2 binary64)))
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(/.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))))
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(fma.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (sqrt.f64 (-.f64 z x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 (*.f64 y (-.f64 z x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 z x)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)) x)
(fma.f64 (*.f64 (-.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.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 (neg.f64 y))
(*.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 y (*.f64 x (+.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 y (*.f64 x (+.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 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.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 y (*.f64 x (+.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 y (*.f64 x (+.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 y (*.f64 x (+.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 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
x
(*.f64 y (-.f64 z x))
(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
(*.f64 y (+.f64 z (-.f64 (/.f64 x y) x)))
(*.f64 y (+.f64 (-.f64 z x) (/.f64 x y)))
(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
(*.f64 y (+.f64 z (-.f64 (/.f64 x y) x)))
(*.f64 y (+.f64 (-.f64 z x) (/.f64 x y)))
(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
(*.f64 y (+.f64 z (-.f64 (/.f64 x y) x)))
(*.f64 y (+.f64 (-.f64 z x) (/.f64 x y)))
(*.f64 y (-.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 z (-.f64 (/.f64 x y) x)))
(*.f64 y (+.f64 (-.f64 z x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 z (-.f64 (/.f64 x y) x)))
(*.f64 y (+.f64 (-.f64 z x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 z (-.f64 (/.f64 x y) x)))
(*.f64 y (+.f64 (-.f64 z x) (/.f64 x y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(*.f64 y z)
(*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))
(*.f64 z (+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) (/.f64 x z))))
(*.f64 z (+.f64 y (-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)))
(*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))
(*.f64 z (+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) (/.f64 x z))))
(*.f64 z (+.f64 y (-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)))
(*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))
(*.f64 z (+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) (/.f64 x z))))
(*.f64 z (+.f64 y (-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))
(*.f64 z (+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) (/.f64 x z))))
(*.f64 z (+.f64 y (-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))
(*.f64 z (+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) (/.f64 x z))))
(*.f64 z (+.f64 y (-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))
(*.f64 z (+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) (/.f64 x z))))
(*.f64 z (+.f64 y (-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)))
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 z x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))
(*.f64 y (-.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) #s(literal 1 binary64))
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(*.f64 (+.f64 (pow.f64 x #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) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (-.f64 z x))))))
(*.f64 (+.f64 (pow.f64 x #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) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (+.f64 x (*.f64 y (-.f64 x z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #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) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (-.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (+.f64 x (*.f64 y (-.f64 x z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (-.f64 z x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (+.f64 x (*.f64 y (-.f64 x z))))
(pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 1 binary64))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 3 binary64))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(pow.f64 (/.f64 (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 x #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) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (-.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (+.f64 x (*.f64 y (-.f64 x z))))
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (-.f64 z x) x))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 z x)) y)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 z x)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (exp.f64 x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 y (-.f64 z x) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (-.f64 z x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (-.f64 z x) y x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (*.f64 y (-.f64 z x)) #s(literal 1 binary64) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (-.f64 z x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x)) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 z x)) y) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (-.f64 z x))) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (-.f64 z x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (-.f64 z x)) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (sqrt.f64 (-.f64 z x)) y) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 (*.f64 y (-.f64 z x))) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 z x)) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z x)) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (*.f64 (-.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)

eval41.0ms (0.5%)

Compiler

Compiled 4418 to 953 computations (78.4% saved)

prune40.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2933296
Fresh000
Picked011
Done000
Total2934297
Accuracy
100.0%
Counts
297 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 x (*.f64 y (-.f64 z x)))
▶78.3%
(+.f64 x (*.f64 y z))
▶61.9%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶38.1%
x
Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify41.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 x (*.f64 y z))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Rules
217×fma-define
110×fmm-def
33×distribute-lft-in
32×cancel-sign-sub-inv
30×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01489
12585
23885
35885
411185
515485
622585
732385
849785
955285
1063085
1169585
1278385
1378885
1479585
1580185
Stop Event
1×saturated
Calls
Call 1
Inputs
x
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
Outputs
x
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
x
(*.f64 y z)
y
z

localize252.0ms (3.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(+.f64 x (*.f64 y z))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Results
243.0ms256×0valid
Compiler

Compiled 25 to 10 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 231.0ms
ival-mult: 228.0ms (98.8% of total)
ival-sub: 2.0ms (0.9% of total)
ival-add: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
4 → 51
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 y z)>
#<alt (+.f64 x (*.f64 y z))>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y z)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt x>
#<alt (*.f64 y 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 z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
Calls

24 calls:

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

rewrite102.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
923×prod-diff
860×log1p-expm1-u
860×expm1-log1p-u
289×fma-define
149×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01464
117360
2228760
Stop Event
1×node limit
Counts
4 → 130
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(*.f64 y z)
(+.f64 x (*.f64 y z))
Outputs
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 #s(literal 1 binary64) y))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (neg.f64 y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 #s(literal 1 binary64) (neg.f64 y)))
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) y)))
(exp.f64 (log1p.f64 (neg.f64 y)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) #s(literal 1 binary64))
(-.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 (exp.f64 (log1p.f64 (fma.f64 y z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 x (*.f64 y z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y z x))
(*.f64 (fma.f64 y z x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y z x)))
(*.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 x (*.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y z) x))
(pow.f64 (fma.f64 y z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z x))))
(cbrt.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y z x)))
(log1p.f64 (expm1.f64 (fma.f64 y z x)))
(exp.f64 (log.f64 (fma.f64 y z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y z x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) x (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(fma.f64 (*.f64 y z) #s(literal 1 binary64) x)
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) x)
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) x)

simplify122.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
560×fma-define
505×times-frac
344×div-sub
303×distribute-lft-in
291×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03094598
16834482
218473906
367483906
Stop Event
1×node limit
Counts
181 → 167
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
x
(*.f64 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 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 #s(literal 1 binary64) y))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (neg.f64 y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 #s(literal 1 binary64) (neg.f64 y)))
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) y)))
(exp.f64 (log1p.f64 (neg.f64 y)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) #s(literal 1 binary64))
(-.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 (exp.f64 (log1p.f64 (fma.f64 y z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 x (*.f64 y z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y z x))
(*.f64 (fma.f64 y z x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y z x)))
(*.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 x (*.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y z) x))
(pow.f64 (fma.f64 y z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z x))))
(cbrt.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y z x)))
(log1p.f64 (expm1.f64 (fma.f64 y z x)))
(exp.f64 (log.f64 (fma.f64 y z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y z x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) x (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(fma.f64 (*.f64 y z) #s(literal 1 binary64) x)
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) x)
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) x)
Outputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) y)
(*.f64 y z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
x
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
x
(*.f64 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 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(+.f64 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (fma.f64 y z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y z (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y z (neg.f64 x)))
(pow.f64 (fma.f64 y z x) #s(literal 1 binary64))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 3 binary64))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(pow.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(pow.f64 (sqrt.f64 (fma.f64 y z x)) #s(literal 2 binary64))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(sqrt.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(log.f64 (exp.f64 (fma.f64 y z x)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z x))))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(cbrt.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(expm1.f64 (log1p.f64 (fma.f64 y z x)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(log1p.f64 (expm1.f64 (fma.f64 y z x)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(exp.f64 (log.f64 (fma.f64 y z x)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y z x)) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y z))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y z))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 #s(literal 1 binary64) (*.f64 y z) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 y z x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 z y x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (*.f64 y z) #s(literal 1 binary64) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y z))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y z))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)

eval30.0ms (0.4%)

Compiler

Compiled 1634 to 394 computations (75.9% saved)

prune23.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1652167
Fresh000
Picked033
Done011
Total1656171
Accuracy
100.0%
Counts
171 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 x (*.f64 y (-.f64 z x)))
✓78.3%
(+.f64 x (*.f64 y z))
▶41.8%
(*.f64 y z)
✓61.9%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶26.8%
(*.f64 x (neg.f64 y))
✓38.1%
x
Compiler

Compiled 43 to 29 computations (32.6% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(*.f64 x (neg.f64 y))
Rules
42×fma-define
9×sub-neg
9×distribute-lft-in
5×mul0-rgt
5×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01354
12154
23254
34354
45454
57154
69854
712354
812954
914154
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(*.f64 y z)
y
z
Outputs
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
x
(neg.f64 y)
y
(*.f64 y z)
y
z

localize64.0ms (0.9%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(*.f64 x (neg.f64 y))
✓accuracy100.0%
(neg.f64 y)
Results
15.0ms256×0valid
Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (75.8% of total)
ival-neg: 1.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (*.f64 x (neg.f64 y))>
#<alt (neg.f64 y)>
Outputs
#<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) 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)>
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* x (neg y))
0.0ms
y
@0
(* x (neg y))
0.0ms
y
@inf
(* x (neg y))
0.0ms
x
@inf
(* x (neg y))
0.0ms
y
@inf
(neg y)

rewrite61.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
305×unpow-prod-down
278×log1p-expm1-u
278×expm1-log1p-u
265×add-exp-log
258×add-log-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01034
19026
210852
Stop Event
1×node limit
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(neg.f64 y)
Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)

simplify21.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
38×fma-define
9×sub-neg
6×+-commutative
4×mul0-rgt
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012506
120506
228506
331506
439506
561506
678506
792506
8111506
9123506
Stop Event
1×saturated
Counts
38 → 6
Calls
Call 1
Inputs
(*.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))
(*.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) 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)
#s(literal 0 binary64)
#s(literal 0 binary64)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
#s(literal 0 binary64)
#s(literal 0 binary64)

eval2.0ms (0%)

Compiler

Compiled 108 to 45 computations (58.3% saved)

prune12.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New19120
Fresh000
Picked022
Done044
Total19726
Accuracy
100.0%
Counts
26 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 x (*.f64 y (-.f64 z x)))
✓78.3%
(+.f64 x (*.f64 y z))
✓41.8%
(*.f64 y z)
✓61.9%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓26.8%
(*.f64 x (neg.f64 y))
✓38.1%
x
▶2.5%
#s(literal 0 binary64)
Compiler

Compiled 47 to 33 computations (29.8% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)

localize9.0ms (0.1%)

Results
6.0ms256×0valid
Compiler

Compiled 3 to 6 computations (-100% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune5.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done066
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 x (*.f64 y (-.f64 z x)))
✓78.3%
(+.f64 x (*.f64 y z))
✓41.8%
(*.f64 y z)
✓61.9%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓26.8%
(*.f64 x (neg.f64 y))
✓38.1%
x
✓2.5%
#s(literal 0 binary64)
Compiler

Compiled 76 to 47 computations (38.2% saved)

regimes12.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 y z)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
Calls

4 calls:

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

Compiled 22 to 15 computations (31.8% saved)

regimes10.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 y z)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 y z))
Outputs
(+.f64 x (*.f64 y z))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 y z))
Calls

3 calls:

4.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
88.6%3x
80.3%2y
90.4%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 y z)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 y z)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 y z)
Calls

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
68.7%4y
76.8%3x
77.2%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts
4 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 y z)
(*.f64 x (neg.f64 y))
Outputs
(*.f64 y z)
x
(*.f64 y z)
(*.f64 x (neg.f64 y))
Calls

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
67.5%4y
57.8%4x
64.2%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
(*.f64 y z)
Outputs
(*.f64 y z)
x
(*.f64 y z)
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
65.6%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
x
Outputs
x
Calls

3 calls:

3.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
38.1%1x
38.1%1z
38.1%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

3 calls:

1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
2.5%1y
2.5%1z
2.5%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch18.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.7261536489420017e-60
9.312332417157225e-60
6.0ms
-1.0890585126617886e-24
-3.256354789897906e-25
Results
11.0ms176×0valid
Compiler

Compiled 211 to 155 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 4.0ms (62.5% of total)
ival-sub: 1.0ms (15.6% of total)
ival-mult: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
4.169361094833913e+127
1.266974593757092e+133
11.0ms
-6.952221378970216e+36
-3.7120090141407118e+31
Results
16.0ms288×0valid
Compiler

Compiled 301 to 228 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (37.1% of total)
ival-mult: 2.0ms (37.1% of total)
ival-add: 1.0ms (18.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
2.0ms
4.228846015124286e+204
4.5602313578700536e+204
9.0ms
6.780217250061136e-36
4.090920240785814e-35
12.0ms
-4.140887016932833e-15
-1.5808556135765542e-27
Results
13.0ms288×0valid
Compiler

Compiled 235 to 178 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (36.3% of total)
ival-mult: 2.0ms (36.3% of total)
ival-add: 1.0ms (18.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
6.780217250061136e-36
4.090920240785814e-35
12.0ms
-4.140887016932833e-15
-1.5808556135765542e-27
Results
12.0ms256×0valid
Compiler

Compiled 205 to 156 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (42% of total)
ival-sub: 1.0ms (21% of total)
ival-add: 1.0ms (21% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×*-commutative
7×+-commutative
6×if-if-or-not
5×sub-neg
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051302
180302
291302
397302
499302
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 z #s(literal -1796690897342555/5444517870735015415413993718908291383296 binary64)) (+.f64 x (*.f64 y z)) (if (<=.f64 z #s(literal 7689318425915529/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 x (*.f64 y z))))
(if (<=.f64 z #s(literal -10500000000000000869691806122508288 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 119999999999999997323467840427574019151231457992153637234901496363502431481940220174296281218496563987781620185702972294733615857664 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 y z)))
(if (<=.f64 y #s(literal -584860318145363/2658455991569831745807614120560689152 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 5612166287350667/187072209578355573530071658587684226515959365500928 binary64)) x (if (<=.f64 y #s(literal 4500000000000000019078304432264122303733756101574914456232085946498844990803826090203216760651656203340873920963136832239329362009709596647375489368570061360048046430374894696986141290046399168833761837056 binary64)) (*.f64 y z) (*.f64 x (neg.f64 y)))))
(if (<=.f64 y #s(literal -1742245718635205/2722258935367507707706996859454145691648 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 7482888383134223/187072209578355573530071658587684226515959365500928 binary64)) x (*.f64 y z)))
x
#s(literal 0 binary64)
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 z #s(literal -1796690897342555/5444517870735015415413993718908291383296 binary64)) (+.f64 x (*.f64 y z)) (if (<=.f64 z #s(literal 7689318425915529/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 x (*.f64 y z))))
(if (or (<=.f64 z #s(literal -1796690897342555/5444517870735015415413993718908291383296 binary64)) (not (<=.f64 z #s(literal 7689318425915529/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)))) (+.f64 x (*.f64 y z)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 z #s(literal -10500000000000000869691806122508288 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 119999999999999997323467840427574019151231457992153637234901496363502431481940220174296281218496563987781620185702972294733615857664 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 y z)))
(if (or (<=.f64 z #s(literal -10500000000000000869691806122508288 binary64)) (not (<=.f64 z #s(literal 119999999999999997323467840427574019151231457992153637234901496363502431481940220174296281218496563987781620185702972294733615857664 binary64)))) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -584860318145363/2658455991569831745807614120560689152 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 5612166287350667/187072209578355573530071658587684226515959365500928 binary64)) x (if (<=.f64 y #s(literal 4500000000000000019078304432264122303733756101574914456232085946498844990803826090203216760651656203340873920963136832239329362009709596647375489368570061360048046430374894696986141290046399168833761837056 binary64)) (*.f64 y z) (*.f64 x (neg.f64 y)))))
(if (<=.f64 y #s(literal -1742245718635205/2722258935367507707706996859454145691648 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 7482888383134223/187072209578355573530071658587684226515959365500928 binary64)) x (*.f64 y z)))
(if (or (<=.f64 y #s(literal -1742245718635205/2722258935367507707706996859454145691648 binary64)) (not (<=.f64 y #s(literal 7482888383134223/187072209578355573530071658587684226515959365500928 binary64)))) (*.f64 y z) x)
x
#s(literal 0 binary64)

soundness4.5s (60%)

Rules
560×fma-define
505×times-frac
392×fmm-def
344×div-sub
326×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01034
19026
210852
053210154
111869240
236589114
03094598
16834482
218473906
367483906
Stop Event
1×done
1×node limit
1×node limit
1×node limit
Compiler

Compiled 294 to 130 computations (55.8% saved)

preprocess85.0ms (1.1%)

Compiler

Compiled 188 to 100 computations (46.8% saved)

end0.0ms (0%)

Profiling

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