Data.Colour.SRGB:transferFunction from colour-2.3.3

Time bar (total: 5.1s)

analyze0.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

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

sample758.0ms (14.9%)

Results
390.0ms8255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-mult: 72.0ms (38% of total)
ival-add: 59.0ms (31.1% of total)
ival-sub: 46.0ms (24.3% of total)
const: 10.0ms (5.3% of total)
backward-pass: 3.0ms (1.6% of total)
Bogosity

preprocess99.0ms (1.9%)

Algorithm
egg-herbie
Rules
636×fma-neg
631×fma-define
124×distribute-rgt-in
116×unsub-neg
73×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024228
156204
2152185
3693182
41591176
52456176
62748176
72798176
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y) (neg.f64 x))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y)) x)
(neg.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y) (neg.f64 x)))
(neg.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y)) x))
(-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y) (neg.f64 x))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y)) x)
(neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y x))
(-.f64 (*.f64 y (-.f64 #s(literal -1 binary64) x)) x)
(neg.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y) (neg.f64 x)))
(neg.f64 (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 x)))
(neg.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(neg.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y)) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(-.f64 (fma.f64 x y x) y)
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)

explain76.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
00-0-#s(literal 1 binary64)
00-0-y
00-0-(*.f64 (+.f64 x #s(literal 1 binary64)) y)
00-0-(+.f64 x #s(literal 1 binary64))
Results
48.0ms512×0valid
Compiler

Compiled 51 to 32 computations (37.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-add: 10.0ms (35.8% of total)
ival-sub: 8.0ms (28.6% of total)
ival-mult: 8.0ms (28.6% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 21 to 11 computations (47.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 17 to 11 computations (35.3% saved)

localize128.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
cost-diff-6272
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
cost-diff-6272
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
cost-diff0
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
Rules
411×fma-define
265×fma-define
248×fma-neg
222×fma-neg
66×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01166
12366
23664
37564
414761
527161
649261
792461
8124061
9128961
10129861
01143
11443
22443
35543
47443
59643
614643
725243
853843
984043
1097743
11102143
12102543
Stop Event
saturated
saturated
Calls
Call 1
Inputs
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
Outputs
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
Call 2
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x y (-.f64 y x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(fma.f64 x y y)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
Results
36.0ms256×0valid
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 6.0ms (36.5% of total)
ival-mult: 5.0ms (30.4% of total)
ival-fma: 3.0ms (18.3% of total)
ival-sub: 1.0ms (6.1% of total)
const: 1.0ms (6.1% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x #s(literal 1 binary64)) y)>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)>
#<alt (+.f64 y #s(literal -1 binary64))>
#<alt (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)>
Outputs
#<alt y>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt y>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 y #s(literal 1 binary64))>
#<alt (-.f64 y #s(literal 1 binary64))>
#<alt (-.f64 y #s(literal 1 binary64))>
#<alt y>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
Calls

24 calls:

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

rewrite386.0ms (7.6%)

Algorithm
batch-egg-rewrite
Rules
978×log1p-expm1-u
978×expm1-log1p-u
861×prod-diff
419×fma-define
251×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01591
118791
2259489
Stop Event
node limit
Counts
5 → 256
Calls
Call 1
Inputs
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(+.f64 x #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(+.f64 y #s(literal -1 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
Outputs
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 y x))
(+.f64 (*.f64 x y) y)
(+.f64 (*.f64 y x) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y y))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (fma.f64 x y y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y y))))
(cbrt.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y y)))
(log1p.f64 (expm1.f64 (fma.f64 x y y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))
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(pow.f64 (-.f64 (fma.f64 x y y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y y) x)) #s(literal 3 binary64))
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(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x y y) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (fma.f64 x y y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 x y y) x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x y y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x y y) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x y y) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 x y y) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x y y) x)) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
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(fma.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (fma.f64 x y y))
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 x))
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(fma.f64 (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
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(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x y y))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (fma.f64 x y y))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 x y y))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 x y y))
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 x))
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(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
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(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 x))
(fma.f64 (*.f64 y (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (-.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal -1 binary64)))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) y))
(pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal -1 binary64))))
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(exp.f64 (log.f64 (+.f64 y #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))
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(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1 binary64)))

simplify239.0ms (4.7%)

Algorithm
egg-herbie
Rules
658×times-frac
462×fma-neg
301×cancel-sign-sub-inv
280×associate-+r+
222×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05349221
112488987
236878789
Stop Event
node limit
Counts
352 → 308
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
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(fma.f64 (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) y x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x y y))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (fma.f64 x y y))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 x y y))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 x y y))
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 x))
(fma.f64 (*.f64 y (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (-.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal -1 binary64)))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) y))
(pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal -1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 y #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
(*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))
(pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1 binary64)))
Outputs
y
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(fma.f64 y x (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
y
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 y x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(literal -1 binary64)
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
y
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(+.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
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(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(fma.f64 (*.f64 y (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(fma.f64 (*.f64 y (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(+.f64 y #s(literal -1 binary64))
(*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 y #s(literal -1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal -1 binary64))))
(+.f64 y #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (+.f64 y #s(literal -1 binary64))))
(+.f64 y #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (-.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(+.f64 y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 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 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(+.f64 y #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(+.f64 y #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 y #s(literal -1 binary64))
(log.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))))
(+.f64 y #s(literal -1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal -1 binary64)))))
(+.f64 y #s(literal -1 binary64))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))
(+.f64 y #s(literal -1 binary64))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal -1 binary64))))
(+.f64 y #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal -1 binary64))))
(+.f64 y #s(literal -1 binary64))
(exp.f64 (log.f64 (+.f64 y #s(literal -1 binary64))))
(+.f64 y #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 y #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(+.f64 y #s(literal -1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64))
(+.f64 y #s(literal -1 binary64))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 y #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal -1 binary64))
(+.f64 y #s(literal -1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
(+.f64 y #s(literal -1 binary64))
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) y)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))) #s(literal 1 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 y)))
(pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 1 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 3 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 2 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y) #s(literal 3 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) y)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)

eval56.0ms (1.1%)

Compiler

Compiled 4658 to 2309 computations (50.4% saved)

prune58.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3044308
Fresh000
Picked112
Done000
Total3055310
Accuracy
100.0%
Counts
310 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (*.f64 y x) y) x)
100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
63.6%
(-.f64 (*.f64 y x) x)
76.8%
(-.f64 y x)
41.0%
(neg.f64 x)
Compiler

Compiled 34 to 21 computations (38.2% saved)

localize115.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 (*.f64 y x) y)
cost-diff-6272
(-.f64 (+.f64 (*.f64 y x) y) x)
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 y x)
cost-diff0
(-.f64 (*.f64 y x) x)
cost-diff0
(-.f64 y x)
cost-diff0
(neg.f64 x)
accuracy100.0%
(-.f64 (+.f64 (*.f64 y x) y) x)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(+.f64 (*.f64 y x) y)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(-.f64 (*.f64 y x) x)
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(neg.f64 x)
Rules
325×fma-define
246×fma-neg
123×fma-define
78×fma-neg
45×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
11112
21312
31512
42012
52412
62912
0821
11121
21621
32421
43321
55021
68821
712721
817521
921021
1023621
1123821
0943
11543
22140
33240
44940
57340
615940
730540
844740
948240
1048440
01066
11966
23666
36663
412063
522963
651463
785763
8104963
9111163
10111863
Stop Event
saturated
saturated
saturated
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 y x) y) x)
(+.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
Outputs
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(*.f64 y x)
y
x
Call 2
Inputs
(-.f64 (*.f64 y x) x)
(*.f64 y x)
y
x
Outputs
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 y x)
y
x
Call 3
Inputs
(-.f64 y x)
y
x
Outputs
(-.f64 y x)
y
x
Call 4
Inputs
(neg.f64 x)
x
Outputs
(neg.f64 x)
x
Results
26.0ms256×0valid
Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 4.0ms (43.6% of total)
ival-mult: 2.0ms (21.8% of total)
ival-add: 1.0ms (10.9% of total)
ival-neg: 1.0ms (10.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.2%)

Counts
6 → 129
Calls
Call 1
Inputs
#<alt (neg.f64 x)>
#<alt (-.f64 y x)>
#<alt (-.f64 (*.f64 y x) x)>
#<alt (*.f64 y x)>
#<alt (+.f64 (*.f64 y x) y)>
#<alt (-.f64 (+.f64 (*.f64 y x) y) x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y 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 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (*.f64 x y) x)>
#<alt (-.f64 (*.f64 x y) x)>
#<alt (-.f64 (*.f64 x y) x)>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
Calls

33 calls:

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

rewrite338.0ms (6.6%)

Algorithm
batch-egg-rewrite
Rules
1047×log1p-expm1-u
1047×expm1-log1p-u
710×fma-define
369×fma-neg
101×add-cube-cbrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014101
120893
2335590
Stop Event
node limit
Counts
6 → 377
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 y x)
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) y)
(-.f64 (+.f64 (*.f64 y x) y) x)
Outputs
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 y x)
(+.f64 (+.f64 x y) (fma.f64 x #s(literal 1 binary64) x))
(+.f64 (+.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (+.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (neg.f64 (+.f64 x y)))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 x #s(literal -1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 (+.f64 x y) #s(literal 1 binary64) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (+.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) y)
(fma.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) y)
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) y)
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 x y) x)
(+.f64 (fma.f64 x y x) (fma.f64 x #s(literal 1 binary64) x))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (fma.f64 x y y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (+.f64 x y)))
(pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)))
(fma.f64 x y (+.f64 x y))
(fma.f64 x #s(literal 1 binary64) (fma.f64 x y y))
(fma.f64 x #s(literal -1 binary64) (fma.f64 x y y))
(fma.f64 y x (+.f64 x y))
(fma.f64 y #s(literal 1 binary64) (fma.f64 x y x))
(fma.f64 y (+.f64 #s(literal 1 binary64) x) x)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 x y) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (+.f64 x y))
(fma.f64 (fma.f64 x y y) #s(literal 1 binary64) x)
(fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 #s(literal 1 binary64) x (fma.f64 x y y))
(fma.f64 #s(literal 1 binary64) y (fma.f64 x y x))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (+.f64 x y))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y y) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 x y))
(fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)) x)
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (fma.f64 x y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (fma.f64 x y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (+.f64 x y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (fma.f64 x y y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (fma.f64 x y y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) (fma.f64 x y y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (+.f64 x y))
(fma.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 x y))
(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 x y))
(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 x y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (+.f64 x y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 x y y))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (fma.f64 x y y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (+.f64 x y))
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) x)
(fma.f64 (+.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) x (fma.f64 x y y))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64)))) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x y y))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 x y y))
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (+.f64 x y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 x y))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 x y y))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x y y))

simplify392.0ms (7.7%)

Algorithm
egg-herbie
Rules
779×fma-neg
485×distribute-rgt-neg-in
478×distribute-lft-neg-in
262×associate-*l*
259×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061112594
1129312135
2470312093
Stop Event
node limit
Counts
506 → 469
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y 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 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 x y) x)
(-.f64 (*.f64 x y) x)
(-.f64 (*.f64 x y) x)
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
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(fma.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 x y))
(fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)) x)
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (fma.f64 x y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (fma.f64 x y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (+.f64 x y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (fma.f64 x y y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (fma.f64 x y y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) (fma.f64 x y y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (+.f64 x y))
(fma.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 x y))
(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 x y))
(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 x y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (+.f64 x y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 x y y))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (fma.f64 x y y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (+.f64 x y))
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) x)
(fma.f64 (+.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) x (fma.f64 x y y))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64)))) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x y y))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 x y y))
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (+.f64 x y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 x y))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 x y y))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x y y))
Outputs
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
y
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) x y)
(-.f64 y x)
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) x y)
(-.f64 y x)
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) x y)
(-.f64 y x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y 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 y x)))))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 x y y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 x y y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 x y y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 x y y)
y
(+.f64 y (*.f64 x y))
(fma.f64 x y y)
(+.f64 y (*.f64 x y))
(fma.f64 x y y)
(+.f64 y (*.f64 x y))
(fma.f64 x y y)
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(-.f64 (fma.f64 x y y) x)
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(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 x y))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) x)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (+.f64 x y))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 x y x))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (+.f64 x y))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 x y y))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (fma.f64 x y y))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (+.f64 x y))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) x)
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) x)
(+.f64 x (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x y y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (+.f64 x x))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x y y) #s(literal 3 binary64))) (fma.f64 x (fma.f64 x (+.f64 y #s(literal 1 binary64)) y) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x y y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x y y) #s(literal 3 binary64))) (fma.f64 x (fma.f64 x (+.f64 y #s(literal 1 binary64)) y) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x y y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (fma.f64 y (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x y y) #s(literal 3 binary64))) (fma.f64 x (fma.f64 x (+.f64 y #s(literal 1 binary64)) y) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x y))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x y))
(+.f64 (*.f64 x y) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) x (fma.f64 x y y))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y)
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64)))) x)
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) x)
(+.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal -1 binary64) x))))
(+.f64 x (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) y) (+.f64 #s(literal -1 binary64) x)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x y y))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x y y))) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (+.f64 x x))
(+.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x (+.f64 #s(literal -1 binary64) y) y))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x y))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 x y y))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 x y))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 x y))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (+.f64 x y))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 x y))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 x y y))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y)
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x y y))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y)

eval161.0ms (3.2%)

Compiler

Compiled 5877 to 2405 computations (59.1% saved)

prune209.0ms (4.1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New4793482
Fresh000
Picked044
Done011
Total4798487
Accuracy
100.0%
Counts
487 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (*.f64 y x) y) x)
100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
63.6%
(-.f64 (*.f64 y x) x)
76.8%
(-.f64 y x)
25.4%
(*.f64 x y)
41.0%
(neg.f64 x)
37.7%
y
2.6%
x
Compiler

Compiled 45 to 28 computations (37.8% saved)

localize34.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
accuracy100.0%
(*.f64 x y)
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
044
0821
1921
Stop Event
saturated
saturated
saturated
Calls
Call 1
Inputs
(*.f64 x y)
x
y
Outputs
(*.f64 x y)
x
y
Call 2
Inputs
y
Outputs
y
Call 3
Inputs
x
Outputs
x
Results
11.0ms256×0valid
Compiler

Compiled 10 to 4 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (74.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
1 → 0
Calls
Call 1
Inputs
#<alt (*.f64 x y)>
Outputs
Calls

6 calls:

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

rewrite61.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
502×associate-*r*
437×associate-*l*
251×log1p-expm1-u
251×expm1-log1p-u
247×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
16513
270613
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 x y)
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x y)))) (sqrt.f64 (log.f64 (*.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))

simplify63.0ms (1.2%)

Algorithm
egg-herbie
Rules
663×cancel-sign-sub-inv
429×times-frac
428×sub-neg
381×prod-exp
309×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079805
1160547
2460533
32185533
44666533
Stop Event
node limit
Counts
25 → 33
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x y)))) (sqrt.f64 (log.f64 (*.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)) (+.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(pow.f64 (E.f64) (log.f64 (*.f64 x y)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x y)))) (sqrt.f64 (log.f64 (*.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(fabs.f64 (*.f64 x y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 x) y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 x y)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)

eval5.0ms (0.1%)

Compiler

Compiled 345 to 176 computations (49% saved)

prune69.0ms (1.4%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New33033
Fresh000
Picked033
Done055
Total33841
Accuracy
100.0%
Counts
41 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (*.f64 y x) y) x)
100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
63.6%
(-.f64 (*.f64 y x) x)
76.8%
(-.f64 y x)
25.4%
(*.f64 x y)
41.0%
(neg.f64 x)
37.7%
y
2.6%
x
Compiler

Compiled 82 to 44 computations (46.3% saved)

regimes17.0ms (0.3%)

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

3 calls:

10.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
4.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
x
y
(neg.f64 x)
(*.f64 x y)
(-.f64 y x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Calls

3 calls:

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

Compiled 15 to 10 computations (33.3% saved)

regimes465.0ms (9.1%)

Counts
6 → 3
Calls
Call 1
Inputs
x
y
(neg.f64 x)
(*.f64 x y)
(-.f64 y x)
(-.f64 (*.f64 y x) x)
Outputs
(-.f64 (*.f64 y x) x)
(-.f64 y x)
(-.f64 (*.f64 y x) x)
Calls

2 calls:

459.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
83.3%4y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes50.0ms (1%)

Counts
5 → 4
Calls
Call 1
Inputs
x
y
(neg.f64 x)
(*.f64 x y)
(-.f64 y x)
Outputs
y
(*.f64 x y)
(-.f64 y x)
(*.f64 x y)
Calls

2 calls:

46.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
83.3%4y
82.1%5x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes100.0ms (2%)

Counts
4 → 5
Calls
Call 1
Inputs
x
y
(neg.f64 x)
(*.f64 x y)
Outputs
y
(*.f64 x y)
y
(neg.f64 x)
(*.f64 x y)
Calls

2 calls:

93.0ms
y
7.0ms
x
Results
AccuracySegmentsBranch
69.0%5x
69.8%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.2%)

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

2 calls:

6.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
65.6%3x
66.4%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
x
y
Outputs
y
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
37.7%1y
37.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

1.0ms
x
0.0ms
y
Results
AccuracySegmentsBranch
2.6%1x
2.6%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch19.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
2.5875652865143327e-25
5.644725808865784e-25
10.0ms
-1589.3057279608686
-0.613081725488226
Results
10.0ms208×0valid
Compiler

Compiled 196 to 127 computations (35.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (46% of total)
ival-sub: 1.0ms (23% of total)
ival-add: 1.0ms (23% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch79.0ms (1.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
57.0ms
10214612151095607000.0
3.366739848191983e+20
10.0ms
-2.1197753795439104e+195
-1.9998957381310937e+192
9.0ms
-1.2423984546999864e+290
-2.6566810350973814e+288
Results
65.0ms352×0valid
Compiler

Compiled 264 to 179 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-add: 51.0ms (91.2% of total)
ival-mult: 3.0ms (5.4% of total)
ival-sub: 2.0ms (3.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.0009139651636407531
1.8864209000249639
11.0ms
-1.3639600404976385e-28
-4.4422651402128956e-32
12.0ms
-6.796579507672548e+128
-7.171611771040232e+121
9.0ms
-1.2423984546999864e+290
-2.6566810350973814e+288
Results
26.0ms512×0valid
Compiler

Compiled 334 to 242 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37.3% of total)
ival-sub: 3.0ms (28% of total)
ival-add: 3.0ms (28% of total)
const: 1.0ms (9.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
2.2629142593259365e-36
9.773677482306133e-33
14.0ms
-2.4127440410289463e-44
-1.375151294024721e-51
Results
15.0ms272×0valid
Compiler

Compiled 167 to 129 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 4.0ms (49.6% of total)
ival-mult: 2.0ms (24.8% of total)
ival-sub: 1.0ms (12.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify23.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative
if-if-or-not
sub-neg
1-exp
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055332
181332
286332
387332
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 6097860015223217/10889035741470030830827987437816582766592 binary64)) (-.f64 y x) (-.f64 (*.f64 y x) x)))
(if (<=.f64 y #s(literal -39000000000000003272943267399493058216454023734778247194571520148595223539498016468061549615772136833963339925945695837738019163271722534458740740282325003367444112136253336859293292847157293816686339085553129146822893237390446813374135993296473391658561183514334572044534701802095651061760 binary64)) y (if (<=.f64 y #s(literal -99999999999999994465967438754696170766327875910118237148971115117854351613178134068619377108456504406004528089686414709538562749489776621177115003729674648080379472553427423904462708600804999168 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 17500000000000000000 binary64)) (-.f64 y x) (*.f64 x y))))
(if (<=.f64 y #s(literal -109999999999999998134484089938647861332645918133723157209311223783454452874855614790654089314511030007521829966288672277792762294452555514103650274011686109096854389183276042337740786697495829969503538945700094756745298915547272020335645688218787092975051044015910804735097736584706496921600 binary64)) y (if (<=.f64 y #s(literal -920000000000000051123720927493712747082503755862107186159034398553248044191027326924012500129744546792796371040720684935282688 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -2319277500647185/89202980794122492566142873090593446023921664 binary64)) y (if (<=.f64 y #s(literal 1 binary64)) (neg.f64 x) (*.f64 x y)))))
(if (<=.f64 x #s(literal -4607412760499377/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 3624524060580639/23384026197294446691258957323460528314494920687616 binary64)) y (neg.f64 x)))
y
x
Outputs
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) x)
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 6097860015223217/10889035741470030830827987437816582766592 binary64)) (-.f64 y x) (-.f64 (*.f64 y x) x)))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 6097860015223217/10889035741470030830827987437816582766592 binary64)))) (-.f64 (*.f64 x y) x) (-.f64 y x))
(if (<=.f64 y #s(literal -39000000000000003272943267399493058216454023734778247194571520148595223539498016468061549615772136833963339925945695837738019163271722534458740740282325003367444112136253336859293292847157293816686339085553129146822893237390446813374135993296473391658561183514334572044534701802095651061760 binary64)) y (if (<=.f64 y #s(literal -99999999999999994465967438754696170766327875910118237148971115117854351613178134068619377108456504406004528089686414709538562749489776621177115003729674648080379472553427423904462708600804999168 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 17500000000000000000 binary64)) (-.f64 y x) (*.f64 x y))))
(if (<=.f64 y #s(literal -39000000000000003272943267399493058216454023734778247194571520148595223539498016468061549615772136833963339925945695837738019163271722534458740740282325003367444112136253336859293292847157293816686339085553129146822893237390446813374135993296473391658561183514334572044534701802095651061760 binary64)) y (if (or (<=.f64 y #s(literal -99999999999999994465967438754696170766327875910118237148971115117854351613178134068619377108456504406004528089686414709538562749489776621177115003729674648080379472553427423904462708600804999168 binary64)) (not (<=.f64 y #s(literal 17500000000000000000 binary64)))) (*.f64 x y) (-.f64 y x)))
(if (<=.f64 y #s(literal -109999999999999998134484089938647861332645918133723157209311223783454452874855614790654089314511030007521829966288672277792762294452555514103650274011686109096854389183276042337740786697495829969503538945700094756745298915547272020335645688218787092975051044015910804735097736584706496921600 binary64)) y (if (<=.f64 y #s(literal -920000000000000051123720927493712747082503755862107186159034398553248044191027326924012500129744546792796371040720684935282688 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -2319277500647185/89202980794122492566142873090593446023921664 binary64)) y (if (<=.f64 y #s(literal 1 binary64)) (neg.f64 x) (*.f64 x y)))))
(if (<=.f64 x #s(literal -4607412760499377/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 3624524060580639/23384026197294446691258957323460528314494920687616 binary64)) y (neg.f64 x)))
(if (or (<=.f64 x #s(literal -4607412760499377/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (not (<=.f64 x #s(literal 3624524060580639/23384026197294446691258957323460528314494920687616 binary64)))) (neg.f64 x) y)
y
x

soundness927.0ms (18.2%)

Rules
1047×log1p-expm1-u
1047×expm1-log1p-u
779×fma-neg
710×fma-define
658×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024228
156204
2152185
3693182
41591176
52456176
62748176
72798176
05349221
112488987
236878789
014101
120893
2335590
061112594
1129312135
2470312093
Stop Event
done
node limit
node limit
node limit
saturated
Compiler

Compiled 266 to 133 computations (50% saved)

preprocess52.0ms (1%)

Compiler

Compiled 202 to 110 computations (45.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...