Numeric.Histogram:binBounds from Chart-1.5.3

Time bar (total: 8.4s)

analyze194.0ms (2.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
50%49.9%49.9%0.2%0%0%0%7
50%49.9%49.9%0.2%0%0%0%8
75%74.9%25%0.2%0%0%0%9
75%74.9%25%0.2%0%0%0%10
75%74.9%25%0.2%0%0%0%11
75%74.9%25%0.2%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-add: 61.0ms (74.5% of total)
ival-mult: 8.0ms (9.8% of total)
ival-sub: 6.0ms (7.3% of total)
ival-div: 5.0ms (6.1% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

sample970.0ms (11.5%)

Results
663.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 287.0ms
ival-add: 82.0ms (28.6% of total)
ival-mult: 71.0ms (24.7% of total)
ival-div: 68.0ms (23.7% of total)
ival-sub: 58.0ms (20.2% of total)
const: 7.0ms (2.4% of total)
backward-pass: 2.0ms (0.7% of total)
Bogosity

preprocess118.0ms (1.4%)

Algorithm
egg-herbie
Rules
612×unsub-neg
436×sub-neg
371×div-sub
340×fma-define
328×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060688
1137608
2377600
31246600
44428600
57365600
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
(+.f64 (neg.f64 x) (/.f64 (*.f64 (-.f64 y (neg.f64 x)) z) t))
(+.f64 x (/.f64 (*.f64 (-.f64 (neg.f64 y) x) z) t))
(+.f64 x (/.f64 (*.f64 (-.f64 y x) (neg.f64 z)) t))
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) (neg.f64 t)))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (*.f64 (-.f64 y (neg.f64 x)) z) t)))
(neg.f64 (+.f64 x (/.f64 (*.f64 (-.f64 (neg.f64 y) x) z) t)))
(neg.f64 (+.f64 x (/.f64 (*.f64 (-.f64 y x) (neg.f64 z)) t)))
(neg.f64 (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) (neg.f64 t))))
(+.f64 y (/.f64 (*.f64 (-.f64 x y) z) t))
(+.f64 z (/.f64 (*.f64 (-.f64 y z) x) t))
(+.f64 t (/.f64 (*.f64 (-.f64 y t) z) x))
(+.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))
(+.f64 x (/.f64 (*.f64 (-.f64 t x) z) y))
(+.f64 x (/.f64 (*.f64 (-.f64 y x) t) z))
Outputs
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 (-.f64 y x) (/.f64 z t) x)
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 (-.f64 y x) (/.f64 z t) x)
(+.f64 (neg.f64 x) (/.f64 (*.f64 (-.f64 y (neg.f64 x)) z) t))
(+.f64 (neg.f64 x) (*.f64 (-.f64 y (neg.f64 x)) (/.f64 z t)))
(-.f64 (*.f64 (+.f64 x y) (/.f64 z t)) x)
(-.f64 (*.f64 z (/.f64 (+.f64 x y) t)) x)
(+.f64 x (/.f64 (*.f64 (-.f64 (neg.f64 y) x) z) t))
(+.f64 x (*.f64 (-.f64 (neg.f64 y) x) (/.f64 z t)))
(-.f64 x (*.f64 (+.f64 x y) (/.f64 z t)))
(fma.f64 z (/.f64 (-.f64 (neg.f64 y) x) t) x)
(fma.f64 (+.f64 x y) (/.f64 z (neg.f64 t)) x)
(+.f64 x (/.f64 (*.f64 (-.f64 y x) (neg.f64 z)) t))
(-.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 (-.f64 x y) (/.f64 z t) x)
(fma.f64 z (/.f64 (-.f64 x y) t) x)
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) (neg.f64 t)))
(+.f64 x (/.f64 (*.f64 (-.f64 y x) (neg.f64 z)) t))
(-.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 (-.f64 x y) (/.f64 z t) x)
(fma.f64 z (/.f64 (-.f64 x y) t) x)
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (*.f64 (-.f64 y (neg.f64 x)) z) t)))
(+.f64 x (*.f64 (-.f64 (neg.f64 y) x) (/.f64 z t)))
(-.f64 x (*.f64 (+.f64 x y) (/.f64 z t)))
(fma.f64 z (/.f64 (-.f64 (neg.f64 y) x) t) x)
(fma.f64 (+.f64 x y) (/.f64 z (neg.f64 t)) x)
(neg.f64 (+.f64 x (/.f64 (*.f64 (-.f64 (neg.f64 y) x) z) t)))
(+.f64 (neg.f64 x) (*.f64 (-.f64 y (neg.f64 x)) (/.f64 z t)))
(-.f64 (*.f64 (+.f64 x y) (/.f64 z t)) x)
(-.f64 (*.f64 z (/.f64 (+.f64 x y) t)) x)
(neg.f64 (+.f64 x (/.f64 (*.f64 (-.f64 y x) (neg.f64 z)) t)))
(-.f64 (*.f64 (-.f64 y x) (/.f64 z t)) x)
(fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x))
(neg.f64 (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) (neg.f64 t))))
(neg.f64 (+.f64 x (/.f64 (*.f64 (-.f64 y x) (neg.f64 z)) t)))
(-.f64 (*.f64 (-.f64 y x) (/.f64 z t)) x)
(fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x))
(+.f64 y (/.f64 (*.f64 (-.f64 x y) z) t))
(+.f64 y (*.f64 (-.f64 x y) (/.f64 z t)))
(fma.f64 (-.f64 x y) (/.f64 z t) y)
(fma.f64 z (/.f64 (-.f64 x y) t) y)
(+.f64 z (/.f64 (*.f64 (-.f64 y z) x) t))
(+.f64 z (*.f64 (-.f64 y z) (/.f64 x t)))
(fma.f64 (-.f64 y z) (/.f64 x t) z)
(fma.f64 x (/.f64 (-.f64 y z) t) z)
(+.f64 t (/.f64 (*.f64 (-.f64 y t) z) x))
(+.f64 t (*.f64 (-.f64 y t) (/.f64 z x)))
(fma.f64 (-.f64 y t) (/.f64 z x) t)
(fma.f64 z (/.f64 (-.f64 y t) x) t)
(+.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
(fma.f64 (-.f64 z x) (/.f64 y t) x)
(fma.f64 y (/.f64 (-.f64 z x) t) x)
(+.f64 x (/.f64 (*.f64 (-.f64 t x) z) y))
(+.f64 x (*.f64 (-.f64 t x) (/.f64 z y)))
(fma.f64 (-.f64 t x) (/.f64 z y) x)
(fma.f64 z (/.f64 (-.f64 t x) y) x)
(+.f64 x (/.f64 (*.f64 (-.f64 y x) t) z))
(fma.f64 (-.f64 y x) (/.f64 t z) x)

explain101.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-0-(/.f64 (*.f64 (-.f64 y x) z) t)
00-0-x
00-0-z
00-0-(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
00-0-t
00-0-(*.f64 (-.f64 y x) z)
00-0-y
00-0-(-.f64 y x)
Results
68.0ms512×0valid
Compiler

Compiled 79 to 26 computations (67.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 5.0ms (32.2% of total)
ival-div: 4.0ms (25.7% of total)
ival-sub: 3.0ms (19.3% of total)
ival-add: 3.0ms (19.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 21 to 9 computations (57.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(fma.f64 (-.f64 y x) (/.f64 z t) x)
92.4%
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
98.6%
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
Compiler

Compiled 38 to 23 computations (39.5% saved)

simplify135.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z t)
cost-diff0
(-.f64 y x)
cost-diff0
(fma.f64 (-.f64 y x) (/.f64 z t) x)
cost-diff-6272
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
cost-diff0
(-.f64 y x)
cost-diff0
(*.f64 (-.f64 y x) z)
cost-diff0
(/.f64 (*.f64 (-.f64 y x) z) t)
cost-diff-6272
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
cost-diff0
(/.f64 z t)
cost-diff0
(-.f64 y x)
cost-diff0
(*.f64 (-.f64 y x) (/.f64 z t))
Rules
997×fma-define
742×fma-neg
173×associate-*r*
170×associate-*l*
168×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020305
126305
246305
395305
4181305
5311305
6531305
7953305
81977305
93596305
104266305
114314305
124354305
134359305
144359305
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
x
(*.f64 (-.f64 y x) (/.f64 z t))
(-.f64 y x)
y
(/.f64 z t)
z
t
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
x
(/.f64 (*.f64 (-.f64 y x) z) t)
(*.f64 (-.f64 y x) z)
(-.f64 y x)
y
z
t
(fma.f64 (-.f64 y x) (/.f64 z t) x)
(-.f64 y x)
y
x
(/.f64 z t)
z
t
Outputs
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 (-.f64 y x) (/.f64 z t) x)
x
(*.f64 (-.f64 y x) (/.f64 z t))
(-.f64 y x)
y
(/.f64 z t)
z
t
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
(fma.f64 (-.f64 y x) (/.f64 z t) x)
x
(/.f64 (*.f64 (-.f64 y x) z) t)
(*.f64 (-.f64 y x) (/.f64 z t))
(*.f64 (-.f64 y x) z)
(-.f64 y x)
y
z
t
(fma.f64 (-.f64 y x) (/.f64 z t) x)
(-.f64 y x)
y
x
(/.f64 z t)
z
t

localize68.0ms (0.8%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 z t)
accuracy100.0%
(-.f64 y x)
accuracy98.6%
(fma.f64 (-.f64 y x) (/.f64 z t) x)
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
accuracy100.0%
(*.f64 (-.f64 y x) z)
accuracy92.0%
(/.f64 (*.f64 (-.f64 y x) z) t)
accuracy100.0%
(/.f64 z t)
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
accuracy94.3%
(*.f64 (-.f64 y x) (/.f64 z t))
Results
39.0ms256×0valid
Compiler

Compiled 77 to 13 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 5.0ms (29.1% of total)
ival-mult: 4.0ms (23.2% of total)
ival-fma: 4.0ms (23.2% of total)
ival-sub: 2.0ms (11.6% of total)
ival-add: 2.0ms (11.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series32.0ms (0.4%)

Counts
8 → 297
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 y x) (/.f64 z t))>
#<alt (-.f64 y x)>
#<alt (/.f64 z t)>
#<alt (+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))>
#<alt (/.f64 (*.f64 (-.f64 y x) z) t)>
#<alt (*.f64 (-.f64 y x) z)>
#<alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))>
#<alt (fma.f64 (-.f64 y x) (/.f64 z t) x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (/.f64 (*.f64 y z) t)>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))>
#<alt (/.f64 (*.f64 y z) t)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))>
#<alt (/.f64 (*.f64 y z) t)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) (/.f64 z t))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) (/.f64 z t))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) (/.f64 z t))))>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<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 (*.f64 y z) t)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t)))) (/.f64 (*.f64 y z) t))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t)))) (/.f64 (*.f64 y z) t))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t)))) (/.f64 (*.f64 y z) t))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z t) #s(literal 1 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) (/.f64 z t)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) (/.f64 z t)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 z (-.f64 (/.f64 y t) (/.f64 x t))))>
#<alt (+.f64 x (*.f64 z (-.f64 (/.f64 y t) (/.f64 x t))))>
#<alt (+.f64 x (*.f64 z (-.f64 (/.f64 y t) (/.f64 x t))))>
#<alt (*.f64 z (-.f64 (/.f64 y t) (/.f64 x t)))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y t)) (/.f64 x t)))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y t)) (/.f64 x t)))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y t)) (/.f64 x t)))>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) t)))))>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (+.f64 (*.f64 t x) (*.f64 z (-.f64 y x))) t)>
#<alt (/.f64 (+.f64 (*.f64 t x) (*.f64 z (-.f64 y x))) t)>
#<alt (/.f64 (+.f64 (*.f64 t x) (*.f64 z (-.f64 y x))) t)>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))>
#<alt (+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))>
#<alt (+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))>
#<alt (+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))>
#<alt (+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))>
Calls

81 calls:

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

rewrite375.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
813×log1p-expm1-u
813×expm1-log1p-u
637×log-prod
428×fma-define
219×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020218
1293218
23438218
Stop Event
node limit
Counts
8 → 460
Calls
Call 1
Inputs
(*.f64 (-.f64 y x) (/.f64 z t))
(-.f64 y x)
(/.f64 z t)
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(/.f64 (*.f64 (-.f64 y x) z) t)
(*.f64 (-.f64 y x) z)
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
(fma.f64 (-.f64 y x) (/.f64 z t) x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 y x) (/.f64 z t)))
(+.f64 (*.f64 (/.f64 z t) y) (*.f64 (/.f64 z t) (neg.f64 x)))
(+.f64 (*.f64 y (/.f64 z t)) (*.f64 (neg.f64 x) (/.f64 z t)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y x) (/.f64 z t)))) #s(literal 1 binary64))
(/.f64 (-.f64 y x) (/.f64 t z))
(/.f64 (*.f64 (-.f64 y x) z) t)
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (-.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 (-.f64 y x) z)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 y x) (neg.f64 z)) (neg.f64 t))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 t z) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 t z) (+.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 (-.f64 y x) z))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (*.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) t))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (/.f64 t z)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 z)) (*.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (neg.f64 t)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (*.f64 (+.f64 y x) t))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (/.f64 t z)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (neg.f64 z)) (*.f64 (+.f64 y x) (neg.f64 t)))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 t (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 t (+.f64 y x)))
(/.f64 (*.f64 (neg.f64 z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 t) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 t) (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) (neg.f64 z))) (neg.f64 (neg.f64 t)))
(/.f64 (/.f64 (*.f64 (-.f64 y x) z) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 z t) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 z t) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 z t)) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 z t)) (+.f64 y x))
(/.f64 (/.f64 (*.f64 (-.f64 y x) z) #s(literal 1 binary64)) t)
(/.f64 (/.f64 (*.f64 (-.f64 y x) z) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t))
(pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) #s(literal 2 binary64))
(pow.f64 (/.f64 t (*.f64 (-.f64 y x) z)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (-.f64 y x) z) (neg.f64 t)))
(neg.f64 (/.f64 (*.f64 (-.f64 y x) (neg.f64 z)) t))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 y x) (/.f64 z t))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t))))
(exp.f64 (log.f64 (*.f64 (-.f64 y x) (/.f64 z t))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y x) (/.f64 z t))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 z t)))
(fma.f64 (/.f64 z t) y (*.f64 (/.f64 z t) (neg.f64 x)))
(+.f64 y (neg.f64 x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(+.f64 (neg.f64 x) y)
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 y x))) (cbrt.f64 (exp.f64 (-.f64 y x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.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 y x) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.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 y x) (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 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 y (neg.f64 x)))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y x))))
(log.f64 (*.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (neg.f64 x))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y x)))
(log1p.f64 (expm1.f64 (-.f64 y x)))
(exp.f64 (log.f64 (-.f64 y x)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (neg.f64 x))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y 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 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) y)
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(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 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.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 y x) (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 y x) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (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 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) y)
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(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y x)) (/.f64 z t)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 y x) (/.f64 z t))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) (/.f64 z t)) (fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x)))
(pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 1 binary64)))

simplify416.0ms (4.9%)

Algorithm
egg-herbie
Rules
496×exp-prod
488×cube-prod
424×associate-*l*
416×associate-*r*
279×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072434217
1168830066
2684630066
Stop Event
node limit
Counts
757 → 468
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
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(/.f64 (*.f64 y z) t)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(/.f64 (*.f64 y z) t)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
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(*.f64 #s(literal -1 binary64) x)
y
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y
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(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
y
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(/.f64 (*.f64 y z) t)
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x
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(/.f64 (*.f64 z (-.f64 y x)) t)
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) t)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) t)))))
(/.f64 (*.f64 z (-.f64 y x)) t)
(/.f64 (+.f64 (*.f64 t x) (*.f64 z (-.f64 y x))) t)
(/.f64 (+.f64 (*.f64 t x) (*.f64 z (-.f64 y x))) t)
(/.f64 (+.f64 (*.f64 t x) (*.f64 z (-.f64 y x))) t)
x
(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))
(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))
(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))
x
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
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(/.f64 (*.f64 y z) t)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
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(/.f64 (*.f64 y z) t)
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(/.f64 (*.f64 y z) t)
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
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(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 (sqrt.f64 (/.f64 z t)) (*.f64 (sqrt.f64 (/.f64 z t)) (-.f64 y x)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 z t)) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) (/.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) t) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) (/.f64 #s(literal 1 binary64) t)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 (*.f64 (-.f64 y x) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 t)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (-.f64 y x) z) x)
(fma.f64 (/.f64 (-.f64 y x) #s(literal 1 binary64)) (/.f64 z t) x)
(fma.f64 (/.f64 (-.f64 y x) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 t)) x)
(fma.f64 (/.f64 (-.f64 y x) (sqrt.f64 t)) (/.f64 z (sqrt.f64 t)) x)
(fma.f64 (/.f64 z (sqrt.f64 t)) (/.f64 (-.f64 y x) (sqrt.f64 t)) x)
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (-.f64 y x) t) x)
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (cbrt.f64 t)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 y x) z) (cbrt.f64 t)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) (/.f64 (*.f64 (-.f64 y x) z) (sqrt.f64 t)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) t) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) #s(literal 2 binary64)) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) (sqrt.f64 t)) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) t) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) (cbrt.f64 t)) x)
(fma.f64 (*.f64 (-.f64 y x) (pow.f64 (cbrt.f64 (/.f64 z t)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z t)) x)
(fma.f64 (*.f64 (-.f64 y x) (sqrt.f64 (/.f64 z t))) (sqrt.f64 (/.f64 z t)) x)
(fma.f64 (*.f64 (/.f64 z t) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y x)) x)
(fma.f64 (*.f64 (/.f64 z t) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) x)
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(+.f64 (*.f64 (-.f64 y x) (/.f64 z t)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y x) (/.f64 z t) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x))) (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))) (/.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))))
(*.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) (/.f64 z t) x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 y x) (/.f64 z t)) (fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 y x) (/.f64 z t)) (fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 y x) (/.f64 z t))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) (/.f64 z t)) (fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y x)) (/.f64 z t)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 y x) (/.f64 z t))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) (/.f64 z t)) (fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x)))
(pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(*.f64 (/.f64 z t) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z (*.f64 t y))) (/.f64 z t)))
(*.f64 y (-.f64 (/.f64 z t) (*.f64 x (/.f64 z (*.f64 t y)))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z (*.f64 t y))) (/.f64 z t)))
(*.f64 y (-.f64 (/.f64 z t) (*.f64 x (/.f64 z (*.f64 t y)))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z (*.f64 t y))) (/.f64 z t)))
(*.f64 y (-.f64 (/.f64 z t) (*.f64 x (/.f64 z (*.f64 t y)))))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z (*.f64 t y))) (/.f64 z t)))
(*.f64 y (-.f64 (/.f64 z t) (*.f64 x (/.f64 z (*.f64 t y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z (*.f64 t y))) (/.f64 z t)))
(*.f64 y (-.f64 (/.f64 z t) (*.f64 x (/.f64 z (*.f64 t y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z (*.f64 t y))) (/.f64 z t)))
(*.f64 y (-.f64 (/.f64 z t) (*.f64 x (/.f64 z (*.f64 t y)))))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(*.f64 (/.f64 z t) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) t))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z t) (*.f64 y (/.f64 z (*.f64 x t)))))
(*.f64 x (-.f64 (*.f64 (/.f64 z t) (/.f64 y x)) (/.f64 z t)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z t) (*.f64 y (/.f64 z (*.f64 x t)))))
(*.f64 x (-.f64 (*.f64 (/.f64 z t) (/.f64 y x)) (/.f64 z t)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z t) (*.f64 y (/.f64 z (*.f64 x t)))))
(*.f64 x (-.f64 (*.f64 (/.f64 z t) (/.f64 y x)) (/.f64 z t)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(*.f64 (/.f64 z t) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) t))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) (/.f64 z t))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z (*.f64 x t))) (/.f64 z t)))
(*.f64 x (neg.f64 (-.f64 (/.f64 z t) (*.f64 (/.f64 z t) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) (/.f64 z t))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z (*.f64 x t))) (/.f64 z t)))
(*.f64 x (neg.f64 (-.f64 (/.f64 z t) (*.f64 (/.f64 z t) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) (/.f64 z t))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z (*.f64 x t))) (/.f64 z t)))
(*.f64 x (neg.f64 (-.f64 (/.f64 z t) (*.f64 (/.f64 z t) (/.f64 y x)))))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(/.f64 (*.f64 z (-.f64 y x)) t)
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
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(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 z t) (-.f64 y x)) (fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (-.f64 y x) t)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (/.f64 (-.f64 y x) t)) (fma.f64 (/.f64 z t) (-.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 y x) (/.f64 z t))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 z t) (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (-.f64 y x) t)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 z t) (-.f64 y x) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) (/.f64 z t)) (fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 z t) (-.f64 y x)) (fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (-.f64 y x) t)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (/.f64 (-.f64 y x) t)) (fma.f64 (/.f64 z t) (-.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y x)) (/.f64 z t)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 (/.f64 z t) (-.f64 y x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (-.f64 y x) t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 (-.f64 y x) t)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 z (/.f64 (-.f64 y x) t))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 y x) (/.f64 z t))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 z t) (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (-.f64 y x) t)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 z t) (-.f64 y x) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) (/.f64 z t)) (fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 z t) (-.f64 y x)) (fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (-.f64 y x) t)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (/.f64 (-.f64 y x) t)) (fma.f64 (/.f64 z t) (-.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 z t) (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (-.f64 y x) t)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 z t) (-.f64 y x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (-.f64 y x) (/.f64 z t) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 z t) (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (-.f64 y x) t)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 z t) (-.f64 y x) (neg.f64 x)))
(pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 1 binary64))
(fma.f64 x (+.f64 (/.f64 z (neg.f64 t)) #s(literal 1 binary64)) (*.f64 y (/.f64 z t)))
(fma.f64 z (/.f64 (-.f64 y x) t) x)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 3 binary64))
(fma.f64 x (+.f64 (/.f64 z (neg.f64 t)) #s(literal 1 binary64)) (*.f64 y (/.f64 z t)))
(fma.f64 z (/.f64 (-.f64 y x) t) x)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 (/.f64 z (neg.f64 t)) #s(literal 1 binary64)) (*.f64 y (/.f64 z t)))
(fma.f64 z (/.f64 (-.f64 y x) t) x)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 2 binary64))
(fma.f64 x (+.f64 (/.f64 z (neg.f64 t)) #s(literal 1 binary64)) (*.f64 y (/.f64 z t)))
(fma.f64 z (/.f64 (-.f64 y x) t) x)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 z t) (-.f64 y x) x) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 z (/.f64 (-.f64 y x) t) x))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(fma.f64 x (+.f64 (/.f64 z (neg.f64 t)) #s(literal 1 binary64)) (*.f64 y (/.f64 z t)))
(fma.f64 z (/.f64 (-.f64 y x) t) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x))))
(fma.f64 x (+.f64 (/.f64 z (neg.f64 t)) #s(literal 1 binary64)) (*.f64 y (/.f64 z t)))
(fma.f64 z (/.f64 (-.f64 y x) t) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t))))))
(fma.f64 x (+.f64 (/.f64 z (neg.f64 t)) #s(literal 1 binary64)) (*.f64 y (/.f64 z t)))
(fma.f64 z (/.f64 (-.f64 y x) t) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 y x)) (/.f64 z t)) (-.f64 (exp.f64 x) #s(literal 0 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 y x)) (/.f64 z t)) (-.f64 (exp.f64 x) #s(literal 0 binary64))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 y x)) (/.f64 z t)) (-.f64 (exp.f64 x) #s(literal 0 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t)))) (exp.f64 x)))
(fma.f64 x (+.f64 (/.f64 z (neg.f64 t)) #s(literal 1 binary64)) (*.f64 y (/.f64 z t)))
(fma.f64 z (/.f64 (-.f64 y x) t) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 z t)) (-.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 y x)) (/.f64 z t)) (-.f64 (exp.f64 x) #s(literal 0 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 3 binary64)))
(fma.f64 x (+.f64 (/.f64 z (neg.f64 t)) #s(literal 1 binary64)) (*.f64 y (/.f64 z t)))
(fma.f64 z (/.f64 (-.f64 y x) t) x)
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 z t) (-.f64 y x) x)))
(expm1.f64 (log1p.f64 (fma.f64 z (/.f64 (-.f64 y x) t) x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(fma.f64 x (+.f64 (/.f64 z (neg.f64 t)) #s(literal 1 binary64)) (*.f64 y (/.f64 z t)))
(fma.f64 z (/.f64 (-.f64 y x) t) x)
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(fma.f64 x (+.f64 (/.f64 z (neg.f64 t)) #s(literal 1 binary64)) (*.f64 y (/.f64 z t)))
(fma.f64 z (/.f64 (-.f64 y x) t) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 (/.f64 z (neg.f64 t)) #s(literal 1 binary64)) (*.f64 y (/.f64 z t)))
(fma.f64 z (/.f64 (-.f64 y x) t) x)

eval94.0ms (1.1%)

Compiler

Compiled 11811 to 2001 computations (83.1% saved)

prune377.0ms (4.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New74410754
Fresh000
Picked213
Done000
Total74611757
Accuracy
100.0%
Counts
757 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
92.0%
(+.f64 x (/.f64 (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))) t))
61.7%
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) t))
72.6%
(+.f64 x (/.f64 (*.f64 z y) t))
92.4%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (-.f64 y x) z))))
98.6%
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
60.1%
(+.f64 x (*.f64 z (/.f64 (neg.f64 x) t)))
70.4%
(+.f64 x (*.f64 z (/.f64 y t)))
76.4%
(+.f64 x (*.f64 y (/.f64 z t)))
65.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
36.6%
x
Compiler

Compiled 247 to 162 computations (34.4% saved)

simplify205.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) z)
cost-diff0
(/.f64 (*.f64 (neg.f64 x) z) t)
cost-diff64
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) t))
cost-diff-6272
(+.f64 x (/.f64 (*.f64 z y) t))
cost-diff0
(*.f64 z y)
cost-diff0
(/.f64 (*.f64 z y) t)
cost-diff-6272
(+.f64 x (*.f64 y (/.f64 z t)))
cost-diff0
(/.f64 z t)
cost-diff0
(*.f64 y (/.f64 z t))
cost-diff-6272
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
cost-diff0
(/.f64 t z)
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 (-.f64 y x) (/.f64 t z))
Rules
1122×fma-neg
622×fma-define
334×div-sub
170×times-frac
167×distribute-rgt-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
026379
149363
292363
3196363
4326362
5573360
61105360
72733360
84298360
94886360
105162360
115204360
125224360
135232360
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
x
(/.f64 (-.f64 y x) (/.f64 t z))
(-.f64 y x)
y
(/.f64 t z)
t
z
x
(+.f64 x (*.f64 y (/.f64 z t)))
x
(*.f64 y (/.f64 z t))
y
(/.f64 z t)
z
t
(+.f64 x (/.f64 (*.f64 z y) t))
x
(/.f64 (*.f64 z y) t)
(*.f64 z y)
z
y
t
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) t))
x
(/.f64 (*.f64 (neg.f64 x) z) t)
(*.f64 (neg.f64 x) z)
(neg.f64 x)
z
t
Outputs
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
(+.f64 x (*.f64 (/.f64 (-.f64 y x) t) z))
(fma.f64 (/.f64 (-.f64 y x) t) z x)
(fma.f64 z (/.f64 (-.f64 y x) t) x)
(fma.f64 (-.f64 y x) (/.f64 z t) x)
x
(/.f64 (-.f64 y x) (/.f64 t z))
(*.f64 (/.f64 (-.f64 y x) t) z)
(*.f64 z (/.f64 (-.f64 y x) t))
(*.f64 (-.f64 y x) (/.f64 z t))
(-.f64 y x)
y
(/.f64 t z)
t
z
x
(+.f64 x (*.f64 y (/.f64 z t)))
(fma.f64 y (/.f64 z t) x)
x
(*.f64 y (/.f64 z t))
(/.f64 y (/.f64 t z))
y
(/.f64 z t)
z
t
(+.f64 x (/.f64 (*.f64 z y) t))
(+.f64 x (*.f64 y (/.f64 z t)))
(fma.f64 y (/.f64 z t) x)
x
(/.f64 (*.f64 z y) t)
(*.f64 y (/.f64 z t))
(/.f64 y (/.f64 t z))
(*.f64 z y)
(*.f64 y z)
z
y
t
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) t))
(+.f64 x (*.f64 (neg.f64 x) (/.f64 z t)))
(fma.f64 (neg.f64 x) (/.f64 z t) x)
(-.f64 x (*.f64 z (/.f64 x t)))
(*.f64 x (fma.f64 z (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
x
(/.f64 (*.f64 (neg.f64 x) z) t)
(*.f64 (neg.f64 x) (/.f64 z t))
(*.f64 (/.f64 z t) (neg.f64 x))
(*.f64 (/.f64 x t) (neg.f64 z))
(*.f64 x (/.f64 z (neg.f64 t)))
(*.f64 (neg.f64 x) z)
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(neg.f64 x)
z
t

localize79.0ms (0.9%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (neg.f64 x) z)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) t))
accuracy92.3%
(/.f64 (*.f64 (neg.f64 x) z) t)
accuracy100.0%
(+.f64 x (/.f64 (*.f64 z y) t))
accuracy100.0%
(*.f64 z y)
accuracy92.6%
(/.f64 (*.f64 z y) t)
accuracy100.0%
(/.f64 z t)
accuracy100.0%
(+.f64 x (*.f64 y (/.f64 z t)))
accuracy94.1%
(*.f64 y (/.f64 z t))
accuracy100.0%
(/.f64 t z)
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
accuracy94.3%
(/.f64 (-.f64 y x) (/.f64 t z))
Results
59.0ms256×0valid
Compiler

Compiled 93 to 19 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 11.0ms (43.4% of total)
ival-mult: 6.0ms (23.7% of total)
ival-add: 5.0ms (19.7% of total)
ival-sub: 2.0ms (7.9% of total)
ival-neg: 2.0ms (7.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series38.0ms (0.4%)

Counts
12 → 396
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 y x) (/.f64 t z))>
#<alt (/.f64 t z)>
#<alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))>
#<alt (*.f64 y (/.f64 z t))>
#<alt (+.f64 x (*.f64 y (/.f64 z t)))>
#<alt (/.f64 (*.f64 z y) t)>
#<alt (*.f64 z y)>
#<alt (+.f64 x (/.f64 (*.f64 z y) t))>
#<alt (+.f64 x (/.f64 (*.f64 (neg.f64 x) z) t))>
#<alt (/.f64 (*.f64 (neg.f64 x) z) t)>
#<alt (*.f64 (neg.f64 x) z)>
#<alt (neg.f64 x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (/.f64 (*.f64 y z) t)>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))>
#<alt (/.f64 (*.f64 y z) t)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))>
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#<alt (+.f64 x (/.f64 (*.f64 y z) t))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z t) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z t) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z t) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z t) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x t))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x t))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x t))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 t x)) t)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 t x)) t)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 t x)) t)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<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)>
Calls

105 calls:

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

rewrite230.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
786×log1p-expm1-u
191×expm1-log1p-u
190×add-cube-cbrt
188×add-exp-log
188×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026289
1454257
26919257
Stop Event
node limit
Counts
12 → 477
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) (/.f64 t z))
(/.f64 t z)
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
(*.f64 y (/.f64 z t))
(+.f64 x (*.f64 y (/.f64 z t)))
(/.f64 (*.f64 z y) t)
(*.f64 z y)
(+.f64 x (/.f64 (*.f64 z y) t))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) t))
(/.f64 (*.f64 (neg.f64 x) z) t)
(*.f64 (neg.f64 x) z)
(neg.f64 x)
Outputs
(+.f64 (*.f64 y (/.f64 z t)) (*.f64 z (/.f64 x t)))
(-.f64 (*.f64 y (/.f64 z t)) (*.f64 z (/.f64 x t)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y x) (/.f64 z t)))) #s(literal 1 binary64))
(*.f64 (+.f64 y x) (/.f64 z t))
(*.f64 z (/.f64 (+.f64 y x) t))
(*.f64 (*.f64 (+.f64 y x) (/.f64 z t)) #s(literal 1 binary64))
(*.f64 (/.f64 z t) (+.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (/.f64 z t)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 z t))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 z t))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 z t))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 y x)) (/.f64 t z)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 z t)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 y x) (/.f64 z t))) (sqrt.f64 (*.f64 (+.f64 y x) (/.f64 z t))))
(*.f64 (sqrt.f64 (/.f64 z t)) (/.f64 (+.f64 y x) (sqrt.f64 (/.f64 t z))))
(*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 (sqrt.f64 (+.f64 y x)) (/.f64 t z)))
(*.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 z t)))
(*.f64 (+.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (/.f64 t (neg.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (+.f64 y x) t) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 y x)) (/.f64 t z)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 y x)) (/.f64 t z)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) t) (/.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64))) (/.f64 (+.f64 y x) (cbrt.f64 (/.f64 t z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) t) (/.f64 (cbrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 z t))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t z))) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (/.f64 t z))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (/.f64 t z))))
(*.f64 (*.f64 (+.f64 y x) z) (/.f64 #s(literal 1 binary64) t))
(*.f64 (*.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (/.f64 z t)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z t)))
(*.f64 (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 z t))) (sqrt.f64 (/.f64 z t)))
(*.f64 (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1 binary64)) z)
(*.f64 (*.f64 (/.f64 (+.f64 y x) t) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (/.f64 (+.f64 y x) t) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 z t))
(*.f64 (/.f64 (+.f64 y x) (neg.f64 t)) (neg.f64 z))
(pow.f64 (*.f64 (+.f64 y x) (/.f64 z t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 z t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) (/.f64 z t))) #s(literal 2 binary64))
(pow.f64 (/.f64 t (*.f64 (+.f64 y x) z)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 t (neg.f64 z))))
(neg.f64 (/.f64 (+.f64 (neg.f64 y) x) (/.f64 t z)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 z t)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y x)) (/.f64 z t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y x) (/.f64 z t)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 z t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) (/.f64 z t))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) (/.f64 z t))))
(exp.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 z t))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 z t))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 t z))) #s(literal 1 binary64))
(*.f64 t (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 t z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 t z))
(*.f64 (cbrt.f64 (/.f64 t z)) (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 t z)))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (/.f64 (cbrt.f64 t) z))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 t z)) (sqrt.f64 (/.f64 t z)))
(*.f64 (sqrt.f64 t) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) t)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 t) z))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 t (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 t z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 t) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 t) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 t))
(pow.f64 (/.f64 t z) #s(literal 1 binary64))
(pow.f64 (/.f64 z t) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 t z)) #s(literal 2 binary64))
(neg.f64 (/.f64 t (neg.f64 z)))
(sqrt.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 t z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 t z))))
(cbrt.f64 (pow.f64 (/.f64 t z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 t z)))
(log1p.f64 (expm1.f64 (/.f64 t z)))
(exp.f64 (log.f64 (/.f64 t z)))
(exp.f64 (*.f64 (log.f64 (/.f64 t z)) #s(literal 1 binary64)))
(-.f64 (*.f64 y (/.f64 z t)) (-.f64 (*.f64 z (/.f64 x t)) x))
(-.f64 (fma.f64 y (/.f64 z t) x) (*.f64 z (/.f64 x t)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y x) (/.f64 z t) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 (+.f64 y x) (/.f64 z t)))) (/.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (-.f64 x (*.f64 (+.f64 y x) (/.f64 z t)))))
(*.f64 (fma.f64 (+.f64 y x) (/.f64 z t) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) (/.f64 z t) x))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 y x) (/.f64 z t) x)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y x) (/.f64 z t) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y x) (/.f64 z t) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (+.f64 y x) (/.f64 z t) x)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 y x) (/.f64 z t) x)) (sqrt.f64 (fma.f64 (+.f64 y x) (/.f64 z t) x)))
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(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)))

simplify368.0ms (4.4%)

Algorithm
egg-herbie
Rules
570×associate-*l*
541×associate-*r*
381×times-frac
361×associate-*r/
308×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091927885
1212026405
Stop Event
node limit
Counts
873 → 589
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(/.f64 (*.f64 y z) t)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(/.f64 (*.f64 y z) t)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
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x
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x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))))
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x
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x
(+.f64 x (/.f64 (*.f64 y z) t))
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x
(+.f64 x (/.f64 (*.f64 y z) t))
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(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 z t)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (/.f64 z t)) x))
(pow.f64 (fma.f64 y (/.f64 z t) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 z t) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (/.f64 z t) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 z t) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 z t) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 z t) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 z t) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 z t) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 z t) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 z t) x)))
(exp.f64 (log.f64 (fma.f64 y (/.f64 z t) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 z t) x)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 z t) x)
(fma.f64 z (/.f64 y t) x)
(fma.f64 (/.f64 z t) y x)
(fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) t) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (/.f64 z t)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z t)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 z t))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (/.f64 z t)))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y (/.f64 z t))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 x t)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 z t) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (/.f64 z t) x)) (/.f64 (pow.f64 (*.f64 z (/.f64 x t)) #s(literal 2 binary64)) (fma.f64 x (/.f64 z t) x)))
(*.f64 (fma.f64 x (/.f64 z t) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 z t) x))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 z t) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z t) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z t) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 z t) x)))
(*.f64 (pow.f64 (fma.f64 x (/.f64 z t) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 z t) x)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 z t) x)) (sqrt.f64 (fma.f64 x (/.f64 z t) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 x t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x (/.f64 z t) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 z t)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 z t) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 z t))) (+.f64 (pow.f64 (*.f64 z (/.f64 x t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 z t) x) (pow.f64 (fma.f64 x (/.f64 z t) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (/.f64 z t) x) #s(literal 2 binary64)) (fma.f64 x (/.f64 z t) x))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 x t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x (/.f64 z t) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 z t))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 x t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 x t)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 z t)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 x t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 z t) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 z t)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (/.f64 z t) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (/.f64 z t) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 x t)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x (/.f64 z t) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 z t))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 x t)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z (/.f64 x t)) x))
(pow.f64 (fma.f64 x (/.f64 z t) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z t) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 z t) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 z t) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 z t) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 z t) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 z t) x))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (/.f64 z t))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 z t) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 z t) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 z t) x)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 z t) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 z t) x)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 z t) x)
(fma.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) t) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z (/.f64 x t)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x t)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x t))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 x t))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z (/.f64 x t)))
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 x t))) (sqrt.f64 (*.f64 z (/.f64 x t))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (/.f64 x t)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x t)))) #s(literal 1 binary64))
(*.f64 x (/.f64 z t))
(*.f64 z (/.f64 x t))
(*.f64 z (*.f64 x (/.f64 #s(literal 1 binary64) t)))
(*.f64 (/.f64 z t) x)
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) t))
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t)))
(*.f64 (*.f64 z (/.f64 x t)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x t)))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 x t))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x t))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x t))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 x t))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x z)) t))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x z)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 t z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 z t)))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 x t))) (sqrt.f64 (*.f64 z (/.f64 x t))))
(*.f64 (sqrt.f64 (/.f64 z t)) (/.f64 x (sqrt.f64 (/.f64 t z))))
(*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 (sqrt.f64 (*.f64 x z)) t))
(*.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 t z)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z t)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (/.f64 x t)))
(*.f64 (/.f64 x t) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 (*.f64 x z) (cbrt.f64 t)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) (/.f64 (*.f64 x z) (sqrt.f64 t)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (/.f64 t z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) t) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 t z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 t z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 t z))))
(*.f64 (/.f64 (sqrt.f64 x) t) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 t z)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 t z))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 t z))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 t z))))
(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 x (sqrt.f64 t)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x t))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 t)))
(*.f64 (/.f64 x (sqrt.f64 t)) (/.f64 z (sqrt.f64 t)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x z)) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (/.f64 x t))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 x z)) (sqrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x z)) t))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 t)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 z t)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z t)))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 z t))) (sqrt.f64 (/.f64 z t)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z t))
(*.f64 (/.f64 x (neg.f64 t)) (neg.f64 z))
(pow.f64 (*.f64 z (/.f64 x t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 x t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 x t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 x t))) #s(literal 2 binary64))
(pow.f64 (/.f64 t (*.f64 x z)) #s(literal -1 binary64))
(neg.f64 (*.f64 z (/.f64 x t)))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 x t)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 x t)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 x t)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 t z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 x t))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 x t))))
(exp.f64 (log.f64 (*.f64 z (/.f64 x t))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x t))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 t z))))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(neg.f64 (*.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (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) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.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)))
(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)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(*.f64 z (/.f64 x (neg.f64 t)))
(*.f64 x (/.f64 z (neg.f64 t)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(-.f64 (*.f64 y (/.f64 z t)) (*.f64 x (/.f64 z t)))
(*.f64 (/.f64 z t) (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(-.f64 (*.f64 y (/.f64 z t)) (*.f64 x (/.f64 z t)))
(*.f64 (/.f64 z t) (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(-.f64 (*.f64 y (/.f64 z t)) (*.f64 x (/.f64 z t)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z (*.f64 t y))) (/.f64 z t)))
(*.f64 y (-.f64 (/.f64 z t) (*.f64 x (/.f64 (/.f64 z t) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z (*.f64 t y))) (/.f64 z t)))
(*.f64 y (-.f64 (/.f64 z t) (*.f64 x (/.f64 (/.f64 z t) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z (*.f64 t y))) (/.f64 z t)))
(*.f64 y (-.f64 (/.f64 z t) (*.f64 x (/.f64 (/.f64 z t) y))))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
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x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(neg.f64 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x

eval91.0ms (1.1%)

Compiler

Compiled 10587 to 2307 computations (78.2% saved)

prune169.0ms (2%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New7514755
Fresh415
Picked055
Done011
Total75511766
Accuracy
100.0%
Counts
766 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.1%
(-.f64 x (*.f64 z (/.f64 x t)))
98.5%
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
98.3%
(+.f64 x (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t))))
61.7%
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) t))
72.6%
(+.f64 x (/.f64 (*.f64 z y) t))
75.6%
(+.f64 x (/.f64 y (/.f64 t z)))
98.6%
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
61.7%
(+.f64 x (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t))))
76.4%
(+.f64 x (*.f64 y (/.f64 z t)))
65.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
36.6%
x
Compiler

Compiled 189 to 126 computations (33.3% saved)

simplify156.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x z)
cost-diff64
(/.f64 #s(literal 1 binary64) (neg.f64 t))
cost-diff128
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t)))
cost-diff192
(+.f64 x (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t))))
cost-diff0
(/.f64 x t)
cost-diff0
(*.f64 z (/.f64 x t))
cost-diff0
(-.f64 x (*.f64 z (/.f64 x t)))
cost-diff-6272
(+.f64 x (/.f64 y (/.f64 t z)))
cost-diff-128
(/.f64 t z)
cost-diff0
(/.f64 y (/.f64 t z))
cost-diff0
(/.f64 z t)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 z t))
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
cost-diff0
(/.f64 z t)
cost-diff0
(-.f64 y x)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 z t))
cost-diff128
(/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t)))
Rules
683×fma-define
657×fma-neg
257×times-frac
140×div-sub
134×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031489
172459
2167447
3404447
4791447
51518447
62337447
73428447
83665447
93706447
103710447
113710447
123710447
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t))))
x
(/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t)))
(-.f64 y x)
y
(/.f64 #s(literal 1 binary64) (/.f64 z t))
#s(literal 1 binary64)
(/.f64 z t)
z
t
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
x
(-.f64 #s(literal 1 binary64) (/.f64 z t))
#s(literal 1 binary64)
(/.f64 z t)
z
t
(+.f64 x (/.f64 y (/.f64 t z)))
x
(/.f64 y (/.f64 t z))
y
(/.f64 t z)
t
z
(-.f64 x (*.f64 z (/.f64 x t)))
x
(*.f64 z (/.f64 x t))
z
(/.f64 x t)
t
(+.f64 x (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t))))
x
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t)))
(*.f64 x z)
z
(/.f64 #s(literal 1 binary64) (neg.f64 t))
#s(literal 1 binary64)
(neg.f64 t)
t
Outputs
(+.f64 x (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t))))
(+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) z) t)))
(fma.f64 (-.f64 y x) (/.f64 z t) x)
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(fma.f64 z (/.f64 (-.f64 y x) t) x)
x
(/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t)))
(/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) z) t))
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 y x) t))
(-.f64 y x)
y
(/.f64 #s(literal 1 binary64) (/.f64 z t))
(*.f64 (/.f64 #s(literal 1 binary64) z) t)
(*.f64 t (/.f64 #s(literal 1 binary64) z))
(/.f64 t z)
#s(literal 1 binary64)
(/.f64 z t)
z
t
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
x
(-.f64 #s(literal 1 binary64) (/.f64 z t))
#s(literal 1 binary64)
(/.f64 z t)
z
t
(+.f64 x (/.f64 y (/.f64 t z)))
(+.f64 x (*.f64 (/.f64 y t) z))
(fma.f64 (/.f64 y t) z x)
(fma.f64 z (/.f64 y t) x)
(fma.f64 y (/.f64 z t) x)
x
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 y (/.f64 z t))
y
(/.f64 t z)
(*.f64 (/.f64 #s(literal 1 binary64) z) t)
(*.f64 t (/.f64 #s(literal 1 binary64) z))
t
z
(-.f64 x (*.f64 z (/.f64 x t)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
x
(*.f64 z (/.f64 x t))
(*.f64 x (/.f64 z t))
(/.f64 x (/.f64 t z))
(/.f64 (*.f64 x z) t)
z
(/.f64 x t)
t
(+.f64 x (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
x
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t)))
(*.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (neg.f64 t))))
(*.f64 (/.f64 x t) (neg.f64 z))
(/.f64 x (neg.f64 (/.f64 t z)))
(/.f64 x (/.f64 t (neg.f64 z)))
(*.f64 (/.f64 z t) (neg.f64 x))
(*.f64 x z)
z
(/.f64 #s(literal 1 binary64) (neg.f64 t))
(/.f64 #s(literal -1 binary64) t)
#s(literal 1 binary64)
(neg.f64 t)
t

localize99.0ms (1.2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(neg.f64 t)
accuracy100.0%
(+.f64 x (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t))))
accuracy92.2%
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t)))
accuracy100.0%
(/.f64 x t)
accuracy100.0%
(-.f64 x (*.f64 z (/.f64 x t)))
accuracy91.3%
(*.f64 z (/.f64 x t))
accuracy100.0%
(/.f64 t z)
accuracy100.0%
(+.f64 x (/.f64 y (/.f64 t z)))
accuracy94.4%
(/.f64 y (/.f64 t z))
accuracy100.0%
(/.f64 z t)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 z t))
accuracy96.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(+.f64 x (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t))))
accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 z t))
accuracy94.3%
(/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t)))
Results
72.0ms256×0valid
Compiler

Compiled 128 to 24 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 15.0ms (40.8% of total)
ival-mult: 12.0ms (32.6% of total)
ival-sub: 4.0ms (10.9% of total)
ival-add: 4.0ms (10.9% of total)
ival-neg: 1.0ms (2.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series35.0ms (0.4%)

Counts
15 → 420
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 z t))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 z t))>
#<alt (/.f64 y (/.f64 t z))>
#<alt (+.f64 x (/.f64 y (/.f64 t z)))>
#<alt (-.f64 x (*.f64 z (/.f64 x t)))>
#<alt (*.f64 z (/.f64 x t))>
#<alt (/.f64 x t)>
#<alt (+.f64 x (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t))))>
#<alt (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t)))>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 t))>
#<alt (*.f64 x z)>
#<alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t))))>
#<alt (neg.f64 t)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (/.f64 (*.f64 y z) t)>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))>
#<alt (/.f64 (*.f64 y z) t)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))>
#<alt (/.f64 (*.f64 y z) t)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) (/.f64 z t))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) (/.f64 z t))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) (/.f64 z t))))>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt (/.f64 t z)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x t))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x t))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x t))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 t x)) t)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 t x)) t)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 t x)) t)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) t)))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) t)))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) t)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (/.f64 (-.f64 t z) t)>
#<alt (/.f64 (-.f64 t z) t)>
#<alt (/.f64 (-.f64 t z) t)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))) y)))))>
#<alt x>
#<alt (+.f64 x (*.f64 z (-.f64 (/.f64 y t) (/.f64 x t))))>
#<alt (+.f64 x (*.f64 z (-.f64 (/.f64 y t) (/.f64 x t))))>
#<alt (+.f64 x (*.f64 z (-.f64 (/.f64 y t) (/.f64 x t))))>
#<alt (*.f64 z (-.f64 (/.f64 y t) (/.f64 x t)))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y t)) (/.f64 x t)))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y t)) (/.f64 x t)))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y t)) (/.f64 x t)))>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) t)))))>
#<alt (/.f64 (*.f64 z (-.f64 y x)) t)>
#<alt (/.f64 (+.f64 (*.f64 t x) (*.f64 z (-.f64 y x))) t)>
#<alt (/.f64 (+.f64 (*.f64 t x) (*.f64 z (-.f64 y x))) t)>
#<alt (/.f64 (+.f64 (*.f64 t x) (*.f64 z (-.f64 y x))) t)>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))>
#<alt (+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))>
#<alt (+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))>
#<alt (+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))>
#<alt (+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))>
#<alt (*.f64 #s(literal -1 binary64) t)>
#<alt (*.f64 #s(literal -1 binary64) t)>
#<alt (*.f64 #s(literal -1 binary64) t)>
#<alt (*.f64 #s(literal -1 binary64) t)>
#<alt (*.f64 #s(literal -1 binary64) t)>
#<alt (*.f64 #s(literal -1 binary64) t)>
#<alt (*.f64 #s(literal -1 binary64) t)>
#<alt (*.f64 #s(literal -1 binary64) t)>
#<alt (*.f64 #s(literal -1 binary64) t)>
#<alt (*.f64 #s(literal -1 binary64) t)>
#<alt (*.f64 #s(literal -1 binary64) t)>
#<alt (*.f64 #s(literal -1 binary64) t)>
Calls

120 calls:

TimeVariablePointExpression
2.0ms
t
@inf
(/ y (/ t z))
1.0ms
x
@0
(* x (- 1 (/ z t)))
0.0ms
x
@inf
(* x (- 1 (/ z t)))
0.0ms
t
@0
(/ 1 (neg t))
0.0ms
z
@inf
(* x (- 1 (/ z t)))

rewrite147.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
253×log1p-expm1-u
253×expm1-log1p-u
252×add-cube-cbrt
249×add-exp-log
248×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031338
1565314
Stop Event
node limit
Counts
15 → 519
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t)))
(/.f64 #s(literal 1 binary64) (/.f64 z t))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(-.f64 #s(literal 1 binary64) (/.f64 z t))
(/.f64 y (/.f64 t z))
(+.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (*.f64 z (/.f64 x t)))
(*.f64 z (/.f64 x t))
(/.f64 x t)
(+.f64 x (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t))))
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t)))
(/.f64 #s(literal 1 binary64) (neg.f64 t))
(*.f64 x z)
(+.f64 x (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t))))
(neg.f64 t)
Outputs
(+.f64 (*.f64 (/.f64 y t) z) (*.f64 z (/.f64 x t)))
(-.f64 (*.f64 (/.f64 y t) z) (*.f64 z (/.f64 x t)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y x) (/.f64 z t)))) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (/.f64 z t))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (/.f64 z t)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t)))
(*.f64 (sqrt.f64 (/.f64 z t)) (/.f64 (-.f64 y x) (sqrt.f64 (/.f64 t z))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))))
(*.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 z t)))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 z t))
(*.f64 (*.f64 (-.f64 y x) z) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (cbrt.f64 (/.f64 t z))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 y x) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 t z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) t) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t z))) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 (/.f64 t z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) z)) (/.f64 (cbrt.f64 (-.f64 y x)) t))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 y x)) (/.f64 t z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) t) (/.f64 (sqrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 (-.f64 y x)) t))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 (/.f64 t z))))
(*.f64 (*.f64 (-.f64 y x) (pow.f64 (cbrt.f64 (/.f64 z t)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z t)))
(*.f64 (*.f64 (-.f64 y x) (sqrt.f64 (/.f64 z t))) (sqrt.f64 (/.f64 z t)))
(pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 t z) (-.f64 y x)) #s(literal -1 binary64))
(neg.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 y x)) (/.f64 z t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 y x) (/.f64 z t))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 y x) (/.f64 z t))))
(exp.f64 (log.f64 (*.f64 (-.f64 y x) (/.f64 z t))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y x) (/.f64 z t))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 z t) (*.f64 z (/.f64 x t)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y t) z) (*.f64 z (/.f64 x t)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 z (/.f64 x t)))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 z (/.f64 x t)))
(fma.f64 (/.f64 y t) z (*.f64 z (/.f64 x t)))
(-.f64 #s(literal 0 binary64) (/.f64 t z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 t z))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 t z))
(*.f64 #s(literal 1 binary64) (/.f64 t z))
(*.f64 t (/.f64 #s(literal 1 binary64) z))
(*.f64 t (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 t (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 t z))
(*.f64 (cbrt.f64 (/.f64 t z)) (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 t z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 t z))))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 t z)) (sqrt.f64 (/.f64 t z)))
(*.f64 (sqrt.f64 (/.f64 t z)) (neg.f64 (sqrt.f64 (/.f64 t z))))
(*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) t)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 z t)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 z t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 z t)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 z t)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 t (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 t) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 t z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 t) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 t) (cbrt.f64 z)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 t z)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 t z))) (sqrt.f64 (/.f64 t z)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) t)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) t)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 t)) (sqrt.f64 t))
(pow.f64 (/.f64 z t) #s(literal -1 binary64))
(pow.f64 (/.f64 t z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 t z)) #s(literal 2 binary64))
(neg.f64 (/.f64 t z))
(sqrt.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 t z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 t z))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 t z))))
(cbrt.f64 (pow.f64 (/.f64 t z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 t z)))
(log1p.f64 (expm1.f64 (/.f64 t z)))
(exp.f64 (log.f64 (/.f64 t z)))
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 t z)) #s(literal 1 binary64)))
(+.f64 x (*.f64 (/.f64 z t) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (/.f64 x t)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z t))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z t))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z t)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z t))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z t)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z t))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 z t))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z t))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z t))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z t)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z t)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 z t)) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 z t)) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 z t))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 z t)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) (+.f64 (/.f64 z t) #s(literal 1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 z t))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) (+.f64 (/.f64 z t) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) (+.f64 (/.f64 z t) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z t)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) (+.f64 (/.f64 z t) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (/.f64 z t))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 z t))))
(exp.f64 (log1p.f64 (/.f64 z t)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 z t)) #s(literal 1 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) (/.f64 z t)))
(+.f64 #s(literal 0 binary64) t)
(-.f64 #s(literal 0 binary64) t)
(-.f64 (exp.f64 (log1p.f64 t)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) t)
(*.f64 t #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) t)
(*.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (cbrt.f64 t))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 t)))
(*.f64 (sqrt.f64 t) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) (neg.f64 (sqrt.f64 t)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t))
(*.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 t))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))
(/.f64 t #s(literal 1 binary64))
(/.f64 t #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) t))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 2 binary64))) t)
(pow.f64 t #s(literal 1 binary64))
(pow.f64 (cbrt.f64 t) #s(literal 3 binary64))
(pow.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 t) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 t #s(literal 2 binary64)))
(log.f64 (exp.f64 t))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 t)))
(cbrt.f64 (pow.f64 t #s(literal 3 binary64)))
t
(expm1.f64 (log1p.f64 t))
(log1p.f64 (expm1.f64 t))
(exp.f64 (log.f64 t))
(exp.f64 (*.f64 (log.f64 t) #s(literal 1 binary64)))

simplify392.0ms (4.6%)

Algorithm
egg-herbie
Rules
794×times-frac
548×associate-*r*
510×associate-*l*
309×fma-define
247×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101331655
1229928991
Stop Event
node limit
Counts
939 → 676
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(/.f64 (*.f64 y z) t)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(/.f64 (*.f64 y z) t)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
(/.f64 (*.f64 y z) t)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
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(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (/.f64 x z)))
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(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x t))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x t))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x t))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
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#s(literal 1 binary64)
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(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (/.f64 z t))
(/.f64 (-.f64 t z) t)
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(/.f64 (-.f64 t z) t)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t)))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t)))
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(/.f64 (*.f64 y z) t)
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(+.f64 x (/.f64 (*.f64 y z) t))
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x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) #s(literal 1 binary64))))
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x
(+.f64 x (/.f64 (*.f64 y z) t))
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(*.f64 y (+.f64 (/.f64 x y) (/.f64 z t)))
(/.f64 (*.f64 y z) t)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 z t)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 z t)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 z t)))))
(/.f64 (*.f64 y z) t)
(/.f64 (+.f64 (*.f64 t x) (*.f64 y z)) t)
(/.f64 (+.f64 (*.f64 t x) (*.f64 y z)) t)
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x
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(/.f64 (*.f64 y z) t)
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 y t)))))
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x
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(exp.f64 (*.f64 (neg.f64 (log.f64 t)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(-.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(-.f64 (*.f64 (/.f64 y t) z) (-.f64 (*.f64 z (/.f64 x t)) x))
(-.f64 (fma.f64 (/.f64 y t) z x) (*.f64 z (/.f64 x t)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (-.f64 y x) (/.f64 z t) x)) (/.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) (/.f64 z t) x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 y x) (/.f64 z t))))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y x) (/.f64 z t) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 y x) (/.f64 z t))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 y x) (/.f64 z t)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 y x) (/.f64 z t))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 y x) (/.f64 z t)) x))
(pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 y x)) (/.f64 z t))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 1 binary64)))
(fma.f64 (-.f64 y x) (/.f64 z t) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (/.f64 z t)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) (/.f64 z t)))
(+.f64 #s(literal 0 binary64) t)
(-.f64 #s(literal 0 binary64) t)
(-.f64 (exp.f64 (log1p.f64 t)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) t)
(*.f64 t #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) t)
(*.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (cbrt.f64 t))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 t)))
(*.f64 (sqrt.f64 t) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) (neg.f64 (sqrt.f64 t)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t))
(*.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 t))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))
(/.f64 t #s(literal 1 binary64))
(/.f64 t #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) t))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 2 binary64))) t)
(pow.f64 t #s(literal 1 binary64))
(pow.f64 (cbrt.f64 t) #s(literal 3 binary64))
(pow.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 t) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 t #s(literal 2 binary64)))
(log.f64 (exp.f64 t))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 t)))
(cbrt.f64 (pow.f64 t #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 t))
(log1p.f64 (expm1.f64 t))
(exp.f64 (log.f64 t))
(exp.f64 (*.f64 (log.f64 t) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(*.f64 (/.f64 z t) (neg.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (/.f64 t z)) y) (/.f64 z t)))
(*.f64 y (-.f64 (/.f64 z t) (*.f64 x (/.f64 z (*.f64 t y)))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (/.f64 t z)) y) (/.f64 z t)))
(*.f64 y (-.f64 (/.f64 z t) (*.f64 x (/.f64 z (*.f64 t y)))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 t y))) (/.f64 z t)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (/.f64 t z)) y) (/.f64 z t)))
(*.f64 y (-.f64 (/.f64 z t) (*.f64 x (/.f64 z (*.f64 t y)))))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z t) (/.f64 (/.f64 x (/.f64 t z)) y)))
(*.f64 y (neg.f64 (-.f64 (*.f64 x (/.f64 z (*.f64 t y))) (/.f64 z t))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z t) (/.f64 (/.f64 x (/.f64 t z)) y)))
(*.f64 y (neg.f64 (-.f64 (*.f64 x (/.f64 z (*.f64 t y))) (/.f64 z t))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 x z) (*.f64 t y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z t) (/.f64 (/.f64 x (/.f64 t z)) y)))
(*.f64 y (neg.f64 (-.f64 (*.f64 x (/.f64 z (*.f64 t y))) (/.f64 z t))))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)) (/.f64 (*.f64 y z) t))
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(*.f64 (/.f64 z t) (neg.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z t) (/.f64 (*.f64 z y) (*.f64 x t))))
(*.f64 x (-.f64 (*.f64 (/.f64 z t) (/.f64 y x)) (/.f64 z t)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z t) (/.f64 (*.f64 z y) (*.f64 x t))))
(*.f64 x (-.f64 (*.f64 (/.f64 z t) (/.f64 y x)) (/.f64 z t)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z t)) (/.f64 (*.f64 y z) (*.f64 t x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z t) (/.f64 (*.f64 z y) (*.f64 x t))))
(*.f64 x (-.f64 (*.f64 (/.f64 z t) (/.f64 y x)) (/.f64 z t)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(*.f64 (/.f64 z t) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) (/.f64 z t))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) (*.f64 x t)) (/.f64 z t)))
(*.f64 (-.f64 (/.f64 z t) (*.f64 (/.f64 z t) (/.f64 y x))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) (/.f64 z t))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) (*.f64 x t)) (/.f64 z t)))
(*.f64 (-.f64 (/.f64 z t) (*.f64 (/.f64 z t) (/.f64 y x))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 t x))) (/.f64 z t))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) (*.f64 x t)) (/.f64 z t)))
(*.f64 (-.f64 (/.f64 z t) (*.f64 (/.f64 z t) (/.f64 y x))) (neg.f64 x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
(-.f64 (*.f64 y (/.f64 z t)) (/.f64 x (/.f64 t z)))
(*.f64 (/.f64 z t) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 y x)) t)
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(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (/.f64 z t) (-.f64 y x) x) #s(literal 2 binary64)) (fma.f64 (/.f64 z t) (-.f64 y x) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 y x) (/.f64 z t)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 z t) (-.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 z t) (-.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 y x) (/.f64 z t))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 z t) (-.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) (-.f64 y x)) (fma.f64 (/.f64 z t) (-.f64 y x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) (/.f64 z t)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 y x) (/.f64 z t)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 z t) (-.f64 y x)) x))
(pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 1 binary64))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 3 binary64))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 2 binary64))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 (/.f64 z t) (-.f64 y x) x))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 y x)) (/.f64 z t))))
(log.f64 (/.f64 (exp.f64 x) (exp.f64 (*.f64 (/.f64 z t) (-.f64 y x)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x) #s(literal 3 binary64)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 z t) (-.f64 y x) x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 1 binary64)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(fma.f64 (-.f64 y x) (/.f64 z t) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (/.f64 z t)) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 z t))) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) (/.f64 z t)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)) (*.f64 y (/.f64 z t)))
(fma.f64 (/.f64 z t) (-.f64 y x) x)
(+.f64 #s(literal 0 binary64) t)
t
(-.f64 #s(literal 0 binary64) t)
(neg.f64 t)
(-.f64 (exp.f64 (log1p.f64 t)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 t))
(*.f64 #s(literal 1 binary64) t)
t
(*.f64 t #s(literal 1 binary64))
t
(*.f64 #s(literal -1 binary64) t)
(neg.f64 t)
(*.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)))
t
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (cbrt.f64 t))
t
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 t)))
(neg.f64 t)
(*.f64 (sqrt.f64 t) (sqrt.f64 t))
t
(*.f64 (sqrt.f64 t) (neg.f64 (sqrt.f64 t)))
(neg.f64 t)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t))
(neg.f64 t)
(*.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 t))
(neg.f64 t)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t))
(neg.f64 t)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)) (sqrt.f64 t))
(neg.f64 t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))
t
(/.f64 t #s(literal 1 binary64))
t
(/.f64 t #s(literal -1 binary64))
(neg.f64 t)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) t))))
(/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 2 binary64))) t)
(neg.f64 t)
(pow.f64 t #s(literal 1 binary64))
t
(pow.f64 (cbrt.f64 t) #s(literal 3 binary64))
t
(pow.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64))
t
(pow.f64 (sqrt.f64 t) #s(literal 2 binary64))
t
(sqrt.f64 (pow.f64 t #s(literal 2 binary64)))
(fabs.f64 t)
(log.f64 (exp.f64 t))
t
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 t)))
t
(cbrt.f64 (pow.f64 t #s(literal 3 binary64)))
t
(expm1.f64 (log1p.f64 t))
(log1p.f64 (expm1.f64 t))
t
(exp.f64 (log.f64 t))
t
(exp.f64 (*.f64 (log.f64 t) #s(literal 1 binary64)))
t

eval192.0ms (2.3%)

Compiler

Compiled 13713 to 2802 computations (79.6% saved)

prune311.0ms (3.7%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New9283931
Fresh000
Picked235
Done156
Total93111942
Accuracy
100.0%
Counts
942 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.7%
(-.f64 x (/.f64 (*.f64 x z) t))
60.9%
(-.f64 x (/.f64 z (/.f64 t x)))
60.1%
(-.f64 x (*.f64 z (/.f64 x t)))
98.5%
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
98.3%
(+.f64 x (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t))))
72.6%
(+.f64 x (/.f64 (*.f64 z y) t))
75.6%
(+.f64 x (/.f64 y (/.f64 t z)))
98.6%
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
76.4%
(+.f64 x (*.f64 y (/.f64 z t)))
29.9%
(*.f64 x (/.f64 (neg.f64 z) t))
36.6%
x
Compiler

Compiled 122 to 79 computations (35.2% saved)

simplify313.0ms (3.7%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x z)
cost-diff0
(/.f64 (*.f64 x z) t)
cost-diff0
(-.f64 x (/.f64 (*.f64 x z) t))
cost-diff0
(/.f64 t x)
cost-diff0
(/.f64 z (/.f64 t x))
cost-diff0
(-.f64 x (/.f64 z (/.f64 t x)))
cost-diff0
(neg.f64 z)
cost-diff0
(/.f64 (neg.f64 z) t)
cost-diff0
(*.f64 x (/.f64 (neg.f64 z) t))
Rules
626×fma-define
456×fma-neg
374×times-frac
104×div-sub
93×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
019219
135219
264219
3117217
4189213
5344213
6696213
71066213
81686213
92850213
103197213
113236213
123246213
133246213
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 (neg.f64 z) t))
x
(/.f64 (neg.f64 z) t)
(neg.f64 z)
z
t
(-.f64 x (/.f64 z (/.f64 t x)))
x
(/.f64 z (/.f64 t x))
z
(/.f64 t x)
t
(-.f64 x (/.f64 (*.f64 x z) t))
x
(/.f64 (*.f64 x z) t)
(*.f64 x z)
z
t
Outputs
(*.f64 x (/.f64 (neg.f64 z) t))
(*.f64 x (neg.f64 (/.f64 z t)))
(*.f64 x (/.f64 z (neg.f64 t)))
(*.f64 z (neg.f64 (/.f64 x t)))
x
(/.f64 (neg.f64 z) t)
(neg.f64 (/.f64 z t))
(/.f64 z (neg.f64 t))
(neg.f64 z)
z
t
(-.f64 x (/.f64 z (/.f64 t x)))
(-.f64 x (*.f64 (/.f64 z t) x))
(-.f64 x (*.f64 x (/.f64 z t)))
(fma.f64 x (/.f64 z (neg.f64 t)) x)
(*.f64 x (fma.f64 z (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
x
(/.f64 z (/.f64 t x))
(*.f64 (/.f64 z t) x)
(*.f64 x (/.f64 z t))
z
(/.f64 t x)
t
(-.f64 x (/.f64 (*.f64 x z) t))
(-.f64 x (*.f64 (/.f64 z t) x))
(-.f64 x (*.f64 x (/.f64 z t)))
(fma.f64 x (/.f64 z (neg.f64 t)) x)
(*.f64 x (fma.f64 z (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
x
(/.f64 (*.f64 x z) t)
(*.f64 (/.f64 z t) x)
(*.f64 x (/.f64 z t))
(/.f64 z (/.f64 t x))
(*.f64 x z)
z
t

localize54.0ms (0.6%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(-.f64 x (/.f64 (*.f64 x z) t))
accuracy92.3%
(/.f64 (*.f64 x z) t)
accuracy100.0%
(/.f64 t x)
accuracy100.0%
(-.f64 x (/.f64 z (/.f64 t x)))
accuracy91.3%
(/.f64 z (/.f64 t x))
accuracy100.0%
(/.f64 (neg.f64 z) t)
accuracy100.0%
(neg.f64 z)
accuracy93.8%
(*.f64 x (/.f64 (neg.f64 z) t))
Results
37.0ms256×0valid
Compiler

Compiled 56 to 14 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 9.0ms (54% of total)
ival-mult: 4.0ms (24% of total)
ival-sub: 3.0ms (18% of total)
ival-neg: 1.0ms (6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
8 → 180
Calls
Call 1
Inputs
#<alt (*.f64 x (/.f64 (neg.f64 z) t))>
#<alt (/.f64 (neg.f64 z) t)>
#<alt (neg.f64 z)>
#<alt (-.f64 x (/.f64 z (/.f64 t x)))>
#<alt (/.f64 z (/.f64 t x))>
#<alt (/.f64 t x)>
#<alt (-.f64 x (/.f64 (*.f64 x z) t))>
#<alt (/.f64 (*.f64 x z) t)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z t))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x t)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x t)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x t)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x t)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (/.f64 (-.f64 (*.f64 t x) (*.f64 x z)) t)>
#<alt (/.f64 (-.f64 (*.f64 t x) (*.f64 x z)) t)>
#<alt (/.f64 (-.f64 (*.f64 t x) (*.f64 x z)) t)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (/.f64 (*.f64 x z) t)>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z t))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x t)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x t)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x t)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x t)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))>
#<alt (/.f64 (-.f64 (*.f64 t x) (*.f64 x z)) t)>
#<alt (/.f64 (-.f64 (*.f64 t x) (*.f64 x z)) t)>
#<alt (/.f64 (-.f64 (*.f64 t x) (*.f64 x z)) t)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))>
Calls

60 calls:

TimeVariablePointExpression
0.0ms
t
@-inf
(/ t x)
0.0ms
t
@0
(/ t x)
0.0ms
z
@0
(/ (neg z) t)
0.0ms
t
@inf
(/ t x)
0.0ms
t
@0
(- x (/ z (/ t x)))

rewrite202.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
789×log1p-expm1-u
789×expm1-log1p-u
325×fma-define
138×add-cube-cbrt
137×add-exp-log
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019178
1296152
25081150
Stop Event
node limit
Counts
8 → 671
Calls
Call 1
Inputs
(*.f64 x (/.f64 (neg.f64 z) t))
(/.f64 (neg.f64 z) t)
(neg.f64 z)
(-.f64 x (/.f64 z (/.f64 t x)))
(/.f64 z (/.f64 t x))
(/.f64 t x)
(-.f64 x (/.f64 (*.f64 x z) t))
(/.f64 (*.f64 x z) t)
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z t)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z t)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 t (neg.f64 x))) (*.f64 x (/.f64 z t)))
(/.f64 x (/.f64 t z))
(/.f64 z (/.f64 t x))
(/.f64 z (/.f64 t (neg.f64 x)))
(/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x z) t)
(/.f64 (*.f64 x z) (neg.f64 t))
(/.f64 (*.f64 x z) (neg.f64 (neg.f64 t)))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 t (*.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 t (*.f64 x z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 x z))))
(/.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 t x))
(/.f64 (/.f64 (*.f64 x z) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (/.f64 z (sqrt.f64 (/.f64 t x))) (sqrt.f64 (/.f64 t x)))
(/.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) t)
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 (/.f64 t x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 t x)))
(pow.f64 (*.f64 x (/.f64 z t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z t))) #s(literal 2 binary64))
(pow.f64 (/.f64 t (*.f64 x z)) #s(literal -1 binary64))
(neg.f64 (*.f64 x (/.f64 z t)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z t)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 z t)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (/.f64 x t))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z t))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z t))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z t))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z t))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z t))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z t))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) t) (/.f64 z t))
(*.f64 z (/.f64 #s(literal 1 binary64) t))
(*.f64 z (/.f64 #s(literal 1 binary64) (neg.f64 t)))
(*.f64 (/.f64 z t) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z t))
(*.f64 (cbrt.f64 (/.f64 z t)) (pow.f64 (cbrt.f64 (/.f64 z t)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z t)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z t)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) t))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (sqrt.f64 (/.f64 z t)) (sqrt.f64 (/.f64 z t)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) t))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (/.f64 #s(literal 1 binary64) t) z)
(*.f64 #s(literal -1 binary64) (/.f64 z t))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 t)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) (/.f64 z (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 t)) (/.f64 (cbrt.f64 z) (sqrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) t))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 t)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 t)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 t)) (/.f64 z (sqrt.f64 t)))
(pow.f64 (/.f64 z t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z t) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z t)) #s(literal 2 binary64))
(pow.f64 (/.f64 t z) #s(literal -1 binary64))
(neg.f64 (/.f64 z t))
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z t))))
(cbrt.f64 (pow.f64 (/.f64 z t) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z t)))
(log1p.f64 (expm1.f64 (/.f64 z t)))
(exp.f64 (log.f64 (/.f64 z t)))
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 x (*.f64 x (/.f64 z t)))
(+.f64 (fma.f64 x (/.f64 z t) x) (fma.f64 (/.f64 z t) x (*.f64 x (/.f64 z t))))
(+.f64 (fma.f64 x (/.f64 z t) x) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x z) (*.f64 x (/.f64 z t))))
(+.f64 (fma.f64 x (/.f64 z t) x) (fma.f64 (*.f64 x (/.f64 z t)) #s(literal 1 binary64) (*.f64 x (/.f64 z t))))
(+.f64 (fma.f64 x (/.f64 z t) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z t)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z t))) #s(literal 2 binary64)) (*.f64 x (/.f64 z t))))
(+.f64 (fma.f64 x (/.f64 z t) x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 z t)))) (sqrt.f64 (*.f64 x (/.f64 z t))) (*.f64 x (/.f64 z t))))
(+.f64 (fma.f64 x (/.f64 z t) x) (fma.f64 (neg.f64 (/.f64 x t)) z (*.f64 x (/.f64 z t))))
(+.f64 (fma.f64 x (/.f64 z t) x) (fma.f64 (neg.f64 x) (/.f64 z t) (*.f64 x (/.f64 z t))))
(+.f64 (*.f64 x (/.f64 z t)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z t)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(*.f64 (fma.f64 x (/.f64 z t) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 z t) x))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 z t) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z t) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z t) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 z t) x)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 z t) x)) (sqrt.f64 (fma.f64 x (/.f64 z t) x)))
(*.f64 (pow.f64 (fma.f64 x (/.f64 z t) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 z t) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 z t)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (/.f64 z t)) (fma.f64 x (/.f64 z t) x) (pow.f64 x #s(literal 2 binary64)))))
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simplify636.0ms (7.5%)

Algorithm
egg-herbie
Rules
826×fma-neg
526×cube-prod
427×associate-*r*
423×exp-prod
383×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063533678
1131529735
2523529735
Stop Event
node limit
Counts
851 → 472
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
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(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z t))) #s(literal 2 binary64))
(pow.f64 (/.f64 t (*.f64 x z)) #s(literal -1 binary64))
(neg.f64 (*.f64 x (/.f64 z t)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z t)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 z t)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (/.f64 x t))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z t))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z t))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z t))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z t))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(*.f64 z (/.f64 x (neg.f64 t)))
(*.f64 (/.f64 x t) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(*.f64 z (/.f64 x (neg.f64 t)))
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
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(*.f64 (/.f64 x t) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
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(*.f64 (/.f64 x t) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t))
(*.f64 z (/.f64 x (neg.f64 t)))
(*.f64 (/.f64 x t) (neg.f64 z))
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(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
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(neg.f64 z)
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(neg.f64 z)
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(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
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(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) t)))
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(*.f64 (/.f64 x t) (neg.f64 z))
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(*.f64 z (-.f64 (/.f64 x z) (/.f64 x t)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x t)))
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(*.f64 (/.f64 x t) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x t)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x z) (/.f64 x t))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x t)) (neg.f64 z))
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x
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x
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(pow.f64 (pow.f64 (*.f64 x (/.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (/.f64 z t))
(/.f64 x (/.f64 t z))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z t))) #s(literal 2 binary64))
(*.f64 x (/.f64 z t))
(/.f64 x (/.f64 t z))
(pow.f64 (/.f64 t (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x (/.f64 z t))
(/.f64 x (/.f64 t z))
(neg.f64 (*.f64 x (/.f64 z t)))
(*.f64 z (/.f64 x (neg.f64 t)))
(*.f64 (/.f64 x t) (neg.f64 z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z t)) #s(literal 2 binary64)))
(*.f64 x (/.f64 z t))
(/.f64 x (/.f64 t z))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x t)))
(*.f64 x (/.f64 z t))
(/.f64 x (/.f64 t z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 z t)))))
(*.f64 x (/.f64 z t))
(/.f64 x (/.f64 t z))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (/.f64 x t))))
(*.f64 z (/.f64 x (neg.f64 t)))
(*.f64 (/.f64 x t) (neg.f64 z))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z t)) #s(literal 3 binary64)))
(*.f64 x (/.f64 z t))
(/.f64 x (/.f64 t z))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z t))))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 t z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z t))))
(*.f64 x (/.f64 z t))
(/.f64 x (/.f64 t z))
(exp.f64 (log.f64 (*.f64 x (/.f64 z t))))
(*.f64 x (/.f64 z t))
(/.f64 x (/.f64 t z))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z t))) #s(literal 1 binary64)))
(*.f64 x (/.f64 z t))
(/.f64 x (/.f64 t z))

eval126.0ms (1.5%)

Compiler

Compiled 7348 to 1076 computations (85.4% saved)

prune81.0ms (1%)

Pruning

15 alts after pruning (5 fresh and 10 done)

PrunedKeptTotal
New4845489
Fresh000
Picked123
Done088
Total48515500
Accuracy
100.0%
Counts
500 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.6%
(/.f64 (*.f64 x z) (neg.f64 t))
28.8%
(/.f64 z (/.f64 t (neg.f64 x)))
3.4%
(/.f64 z (/.f64 t x))
61.7%
(-.f64 x (/.f64 (*.f64 x z) t))
60.1%
(-.f64 x (*.f64 z (/.f64 x t)))
98.5%
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
98.3%
(+.f64 x (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t))))
72.6%
(+.f64 x (/.f64 (*.f64 z y) t))
75.6%
(+.f64 x (/.f64 y (/.f64 t z)))
98.6%
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
76.4%
(+.f64 x (*.f64 y (/.f64 z t)))
28.8%
(*.f64 (/.f64 x t) (neg.f64 z))
29.9%
(*.f64 x (/.f64 (neg.f64 z) t))
5.3%
(*.f64 x (/.f64 z t))
36.6%
x
Compiler

Compiled 349 to 171 computations (51% saved)

regimes40.0ms (0.5%)

Counts
25 → 1
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 z t))
(/.f64 z (/.f64 t x))
(*.f64 x (/.f64 (neg.f64 z) t))
(*.f64 (/.f64 x t) (neg.f64 z))
(/.f64 z (/.f64 t (neg.f64 x)))
(/.f64 (*.f64 x z) (neg.f64 t))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(+.f64 x (*.f64 y (/.f64 z t)))
(+.f64 x (*.f64 z (/.f64 y t)))
(+.f64 x (/.f64 y (/.f64 t z)))
(+.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 z (/.f64 x t)))
(-.f64 x (/.f64 z (/.f64 t x)))
(-.f64 x (/.f64 (*.f64 x z) t))
(+.f64 x (*.f64 z (/.f64 (neg.f64 x) t)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) t))
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
(+.f64 x (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (-.f64 y x) z))))
(+.f64 x (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t))))
(+.f64 x (/.f64 (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))) t))
(fma.f64 (-.f64 y x) (/.f64 z t) x)
Outputs
(fma.f64 (-.f64 y x) (/.f64 z t) x)
Calls

5 calls:

8.0ms
t
8.0ms
x
7.0ms
y
7.0ms
z
7.0ms
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
Results
AccuracySegmentsBranch
98.6%1x
98.6%1y
98.6%1z
98.6%1t
98.6%1(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes39.0ms (0.5%)

Counts
24 → 1
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 z t))
(/.f64 z (/.f64 t x))
(*.f64 x (/.f64 (neg.f64 z) t))
(*.f64 (/.f64 x t) (neg.f64 z))
(/.f64 z (/.f64 t (neg.f64 x)))
(/.f64 (*.f64 x z) (neg.f64 t))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(+.f64 x (*.f64 y (/.f64 z t)))
(+.f64 x (*.f64 z (/.f64 y t)))
(+.f64 x (/.f64 y (/.f64 t z)))
(+.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 z (/.f64 x t)))
(-.f64 x (/.f64 z (/.f64 t x)))
(-.f64 x (/.f64 (*.f64 x z) t))
(+.f64 x (*.f64 z (/.f64 (neg.f64 x) t)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) t))
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
(+.f64 x (*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 t))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (-.f64 y x) z))))
(+.f64 x (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 z t))))
(+.f64 x (/.f64 (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))) t))
Outputs
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
Calls

5 calls:

9.0ms
t
8.0ms
x
7.0ms
z
7.0ms
y
7.0ms
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
Results
AccuracySegmentsBranch
98.6%1x
98.6%1y
98.6%1z
98.6%1t
98.6%1(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes24.0ms (0.3%)

Counts
17 → 3
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 z t))
(/.f64 z (/.f64 t x))
(*.f64 x (/.f64 (neg.f64 z) t))
(*.f64 (/.f64 x t) (neg.f64 z))
(/.f64 z (/.f64 t (neg.f64 x)))
(/.f64 (*.f64 x z) (neg.f64 t))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(+.f64 x (*.f64 y (/.f64 z t)))
(+.f64 x (*.f64 z (/.f64 y t)))
(+.f64 x (/.f64 y (/.f64 t z)))
(+.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (*.f64 z (/.f64 x t)))
(-.f64 x (/.f64 z (/.f64 t x)))
(-.f64 x (/.f64 (*.f64 x z) t))
(+.f64 x (*.f64 z (/.f64 (neg.f64 x) t)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) t))
Outputs
(+.f64 x (/.f64 (*.f64 z y) t))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(+.f64 x (*.f64 y (/.f64 z t)))
Calls

4 calls:

7.0ms
x
5.0ms
t
5.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
89.4%3x
90.3%3y
79.9%3z
79.8%3t
Compiler

Compiled 20 to 16 computations (20% saved)

regimes5.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 z t))
(/.f64 z (/.f64 t x))
(*.f64 x (/.f64 (neg.f64 z) t))
(*.f64 (/.f64 x t) (neg.f64 z))
(/.f64 z (/.f64 t (neg.f64 x)))
(/.f64 (*.f64 x z) (neg.f64 t))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(+.f64 x (*.f64 y (/.f64 z t)))
(+.f64 x (*.f64 z (/.f64 y t)))
(+.f64 x (/.f64 y (/.f64 t z)))
Outputs
(+.f64 x (*.f64 y (/.f64 z t)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(+.f64 x (*.f64 y (/.f64 z t)))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
90.1%3y
Compiler

Compiled 5 to 4 computations (20% saved)

regimes16.0ms (0.2%)

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

4 calls:

5.0ms
z
3.0ms
t
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
65.1%1t
65.1%1z
65.1%1x
65.1%1y
Compiler

Compiled 20 to 16 computations (20% saved)

regimes12.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 z t))
(/.f64 z (/.f64 t x))
(*.f64 x (/.f64 (neg.f64 z) t))
(*.f64 (/.f64 x t) (neg.f64 z))
(/.f64 z (/.f64 t (neg.f64 x)))
(/.f64 (*.f64 x z) (neg.f64 t))
Outputs
(/.f64 (*.f64 x z) (neg.f64 t))
x
(*.f64 x (/.f64 (neg.f64 z) t))
Calls

4 calls:

3.0ms
t
3.0ms
y
3.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
51.2%3t
38.2%2y
52.5%3z
38.9%2x
Compiler

Compiled 20 to 16 computations (20% saved)

regimes8.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 z t))
(/.f64 z (/.f64 t x))
(*.f64 x (/.f64 (neg.f64 z) t))
(*.f64 (/.f64 x t) (neg.f64 z))
(/.f64 z (/.f64 t (neg.f64 x)))
Outputs
(*.f64 x (/.f64 (neg.f64 z) t))
x
(*.f64 x (/.f64 (neg.f64 z) t))
Calls

1 calls:

7.0ms
z
Results
AccuracySegmentsBranch
52.3%3z
Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Accuracy

Total -22.0b remaining (-54.2%)

Threshold costs -22b (-54.2%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 z t))
(/.f64 z (/.f64 t x))
Outputs
x
Calls

4 calls:

2.0ms
t
2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
36.6%1y
36.6%1x
36.6%1t
36.6%1z
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch34.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
454.2140637338
66380477.319945425
18.0ms
-41593061504244.0
-5.141255518518483
Results
22.0ms304×0valid
Compiler

Compiled 476 to 337 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 5.0ms (43.6% of total)
ival-sub: 2.0ms (17.5% of total)
ival-div: 2.0ms (17.5% of total)
ival-mult: 2.0ms (17.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
454.2140637338
66380477.319945425
15.0ms
-41593061504244.0
-5.141255518518483
Results
19.0ms304×0valid
Compiler

Compiled 476 to 337 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (24.3% of total)
ival-div: 2.0ms (24.3% of total)
ival-add: 2.0ms (24.3% of total)
ival-mult: 2.0ms (24.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
4.854139056564482e+101
2.62397569632021e+122
3.0ms
-4.5997489752283616e-97
-4.196078670858539e-97
Results
13.0ms208×0valid
Compiler

Compiled 241 to 183 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.7% of total)
ival-mult: 2.0ms (34.7% of total)
ival-sub: 1.0ms (17.4% of total)
ival-add: 1.0ms (17.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
4.854139056564482e+101
2.62397569632021e+122
3.0ms
-4.5997489752283616e-97
-4.196078670858539e-97
Results
13.0ms208×0valid
Compiler

Compiled 241 to 183 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.7% of total)
ival-mult: 2.0ms (34.7% of total)
ival-sub: 1.0ms (17.4% of total)
ival-add: 1.0ms (17.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×*-commutative
12×+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054453
188453
2107453
3127453
4134453
5136453
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 y x) (/.f64 z t) x)
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(if (<=.f64 y #s(literal -37 binary64)) (+.f64 x (/.f64 (*.f64 z y) t)) (if (<=.f64 y #s(literal 330000 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t))) (+.f64 x (*.f64 y (/.f64 z t)))))
(if (<=.f64 y #s(literal -58000 binary64)) (+.f64 x (*.f64 y (/.f64 z t))) (if (<=.f64 y #s(literal 3200 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t))) (+.f64 x (*.f64 y (/.f64 z t)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(if (<=.f64 z #s(literal -8657667377137459/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (*.f64 x z) (neg.f64 t)) (if (<=.f64 z #s(literal 509999999999999994511792220397454707450167888996577004381999832080163128618002565929156972842238083072 binary64)) x (*.f64 x (/.f64 (neg.f64 z) t))))
(if (<=.f64 z #s(literal -8657667377137459/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (*.f64 x (/.f64 (neg.f64 z) t)) (if (<=.f64 z #s(literal 509999999999999994511792220397454707450167888996577004381999832080163128618002565929156972842238083072 binary64)) x (*.f64 x (/.f64 (neg.f64 z) t))))
x
Outputs
(fma.f64 (-.f64 y x) (/.f64 z t) x)
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
(if (<=.f64 y #s(literal -37 binary64)) (+.f64 x (/.f64 (*.f64 z y) t)) (if (<=.f64 y #s(literal 330000 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t))) (+.f64 x (*.f64 y (/.f64 z t)))))
(if (<=.f64 y #s(literal -37 binary64)) (+.f64 x (/.f64 (*.f64 y z) t)) (if (<=.f64 y #s(literal 330000 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t))) (+.f64 x (*.f64 y (/.f64 z t)))))
(if (<=.f64 y #s(literal -58000 binary64)) (+.f64 x (*.f64 y (/.f64 z t))) (if (<=.f64 y #s(literal 3200 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t))) (+.f64 x (*.f64 y (/.f64 z t)))))
(if (or (<=.f64 y #s(literal -58000 binary64)) (not (<=.f64 y #s(literal 3200 binary64)))) (+.f64 x (*.f64 y (/.f64 z t))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z t)))
(if (<=.f64 z #s(literal -8657667377137459/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (*.f64 x z) (neg.f64 t)) (if (<=.f64 z #s(literal 509999999999999994511792220397454707450167888996577004381999832080163128618002565929156972842238083072 binary64)) x (*.f64 x (/.f64 (neg.f64 z) t))))
(if (<=.f64 z #s(literal -8657667377137459/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (*.f64 x (/.f64 (neg.f64 z) t)) (if (<=.f64 z #s(literal 509999999999999994511792220397454707450167888996577004381999832080163128618002565929156972842238083072 binary64)) x (*.f64 x (/.f64 (neg.f64 z) t))))
(if (or (<=.f64 z #s(literal -8657667377137459/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (not (<=.f64 z #s(literal 509999999999999994511792220397454707450167888996577004381999832080163128618002565929156972842238083072 binary64)))) (*.f64 x (/.f64 (neg.f64 z) t)) x)
x

soundness1.2s (14.7%)

Rules
794×times-frac
789×log1p-expm1-u
789×expm1-log1p-u
612×unsub-neg
548×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072434217
1168830066
2684630066
019178
1296152
25081150
0101331655
1229928991
060688
1137608
2377600
31246600
44428600
57365600
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 301 to 135 computations (55.1% saved)

preprocess104.0ms (1.2%)

Compiler

Compiled 340 to 148 computations (56.5% saved)

end0.0ms (0%)

Profiling

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