Diagrams.Backend.Rasterific:rasterificRadialGradient from diagrams-rasterific-1.3.1.3

Time bar (total: 7.1s)

analyze49.0ms (0.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 5.0ms (30.8% of total)
ival-sub: 4.0ms (24.7% of total)
ival-add: 4.0ms (24.7% of total)
ival-div: 3.0ms (18.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample689.0ms (9.7%)

Results
489.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 246.0ms
ival-mult: 70.0ms (28.5% of total)
ival-div: 67.0ms (27.3% of total)
ival-sub: 56.0ms (22.8% of total)
ival-add: 43.0ms (17.5% of total)
const: 7.0ms (2.8% of total)
backward-pass: 2.0ms (0.8% of total)
Bogosity

preprocess560.0ms (7.9%)

Algorithm
1×egg-herbie
Rules
1032×div-sub
575×sub-neg
363×associate-/r*
358×fma-define
274×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043492
191432
2227416
3860416
42666416
55573416
66648416
76965416
87044416
97085416
107086416
117351416
127882416
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x)))) z)
(/.f64 (+.f64 x (*.f64 (neg.f64 y) (-.f64 z x))) z)
(/.f64 (+.f64 x (*.f64 y (-.f64 (neg.f64 z) x))) (neg.f64 z))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x)))) z))
(neg.f64 (/.f64 (+.f64 x (*.f64 (neg.f64 y) (-.f64 z x))) z))
(neg.f64 (/.f64 (+.f64 x (*.f64 y (-.f64 (neg.f64 z) x))) (neg.f64 z)))
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) z)
(/.f64 (+.f64 z (*.f64 y (-.f64 x z))) x)
(/.f64 (+.f64 x (*.f64 z (-.f64 y x))) y)
Outputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (fma.f64 y (-.f64 z x) x) z)
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (fma.f64 y (-.f64 z x) x) z)
(/.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x)))) z)
(/.f64 (-.f64 (*.f64 y (+.f64 x z)) x) z)
(/.f64 (+.f64 x (*.f64 (neg.f64 y) (-.f64 z x))) z)
(/.f64 (+.f64 x (*.f64 (-.f64 z x) (neg.f64 y))) z)
(/.f64 (-.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (fma.f64 y (-.f64 x z) x) z)
(/.f64 (+.f64 x (*.f64 y (-.f64 (neg.f64 z) x))) (neg.f64 z))
(/.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x)))) z)
(/.f64 (-.f64 (*.f64 y (+.f64 x z)) x) z)
(neg.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x)))) z))
(/.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x)))) (neg.f64 z))
(/.f64 (-.f64 (*.f64 y (+.f64 x z)) x) (neg.f64 z))
(/.f64 (-.f64 x (*.f64 y (+.f64 x z))) z)
(/.f64 (fma.f64 (+.f64 x z) (neg.f64 y) x) z)
(neg.f64 (/.f64 (+.f64 x (*.f64 (neg.f64 y) (-.f64 z x))) z))
(/.f64 (+.f64 x (*.f64 (-.f64 z x) (neg.f64 y))) (neg.f64 z))
(/.f64 (-.f64 x (*.f64 y (-.f64 z x))) (neg.f64 z))
(/.f64 (fma.f64 y (-.f64 x z) x) (neg.f64 z))
(neg.f64 (/.f64 (+.f64 x (*.f64 y (-.f64 (neg.f64 z) x))) (neg.f64 z)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 y (-.f64 z (neg.f64 x)))) (neg.f64 z))
(/.f64 (-.f64 (*.f64 y (+.f64 x z)) x) (neg.f64 z))
(/.f64 (-.f64 x (*.f64 y (+.f64 x z))) z)
(/.f64 (fma.f64 (+.f64 x z) (neg.f64 y) x) z)
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) z)
(/.f64 (fma.f64 x (-.f64 z y) y) z)
(/.f64 (+.f64 z (*.f64 y (-.f64 x z))) x)
(/.f64 (fma.f64 y (-.f64 x z) z) x)
(/.f64 (+.f64 x (*.f64 z (-.f64 y x))) y)
(/.f64 (fma.f64 z (-.f64 y x) x) y)

explain103.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
380-0-(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
00-0-(+.f64 x (*.f64 y (-.f64 z x)))
00-0-y
00-0-(*.f64 y (-.f64 z x))
00-0-(-.f64 z x)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)o/n380
↳(+.f64 x (*.f64 y (-.f64 z x)))overflow60
↳(*.f64 y (-.f64 z x))overflow60
Confusion
Predicted +Predicted -
+380
-0218
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3800
-00218
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0218
138
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
40.0ms512×0valid
Compiler

Compiled 86 to 30 computations (65.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (36.6% of total)
ival-div: 4.0ms (24.4% of total)
ival-add: 3.0ms (18.3% of total)
ival-sub: 3.0ms (18.3% of total)
const: 1.0ms (6.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 11 to 6 computations (45.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.1%
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify165.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 x (*.f64 y (-.f64 z x)))
✓cost-diff-6272
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓cost-diff0
(-.f64 z x)
✓cost-diff0
(*.f64 y (-.f64 z x))
Rules
1713×fma-neg
450×div-sub
418×associate-*r/
380×distribute-rgt-in
358×distribute-lft-in
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
013118
118110
232110
363110
4111110
5188110
6314110
7606110
81654107
93792107
104742107
115204107
125468107
135599107
145614107
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(+.f64 x (*.f64 y (-.f64 z x)))
x
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z
Outputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (fma.f64 y (-.f64 z x) x) z)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
x
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z

localize29.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 z x)
✓accuracy100.0%
(*.f64 y (-.f64 z x))
✓accuracy100.0%
(+.f64 x (*.f64 y (-.f64 z x)))
✓accuracy86.1%
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
22.0ms256×0valid
Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (27.7% of total)
ival-div: 2.0ms (27.7% of total)
ival-mult: 2.0ms (27.7% of total)
ival-add: 1.0ms (13.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.3%)

Counts
4 → 114
Calls
Call 1
Inputs
#<alt (*.f64 y (-.f64 z x))>
#<alt (-.f64 z x)>
#<alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)>
#<alt (+.f64 x (*.f64 y (-.f64 z x)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt y>
#<alt (+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) z)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x z))>
#<alt (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x z))>
#<alt (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x z))>
#<alt (/.f64 (*.f64 y (-.f64 z x)) z)>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z)))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z)))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z)))>
#<alt (/.f64 (*.f64 y (-.f64 z x)) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z x) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z x) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z x) z)))))>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)>
#<alt (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))) z)>
#<alt (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))) z)>
#<alt (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))) z)>
#<alt y>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z)))>
#<alt y>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z)))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 y (-.f64 z x))>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))>
#<alt (*.f64 y (-.f64 z x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
Calls

33 calls:

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

rewrite393.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
1000×log1p-expm1-u
1000×expm1-log1p-u
466×log-prod
377×fma-define
178×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013106
117298
2262198
Stop Event
1×node limit
Counts
4 → 207
Calls
Call 1
Inputs
(*.f64 y (-.f64 z x))
(-.f64 z x)
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(+.f64 x (*.f64 y (-.f64 z x)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 z x))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 z x))
(pow.f64 (*.f64 y (-.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 y (neg.f64 x)))
(fma.f64 z y (*.f64 (neg.f64 x) y))
(+.f64 z (neg.f64 x))
(+.f64 z (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 z x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 z x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 z x) (+.f64 (neg.f64 x) x))
(+.f64 (neg.f64 x) z)
(+.f64 #s(literal 0 binary64) (-.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) (cbrt.f64 (exp.f64 (-.f64 z x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 z x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 z x)))))
(*.f64 (-.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 z x))
(*.f64 (cbrt.f64 (-.f64 z x)) (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z x)))
(*.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (-.f64 z x)))
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (-.f64 (sqrt.f64 z) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 z x))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 z x)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 z (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 z (neg.f64 x)))
(pow.f64 (-.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 z x))))
(log.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 (neg.f64 x))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 z)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 z)))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (/.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 z x)))
(log1p.f64 (expm1.f64 (-.f64 z x)))
(exp.f64 (log.f64 (-.f64 z x)))
(exp.f64 (*.f64 (log.f64 (-.f64 z x)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (neg.f64 x))
(fma.f64 z #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 z x) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 z 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 z x) #s(literal 1 binary64) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) z (neg.f64 x))
(fma.f64 #s(literal 1 binary64) z (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 z x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 z 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 z x) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) z)
(fma.f64 (cbrt.f64 (-.f64 z x)) (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 z x)) (pow.f64 (cbrt.f64 (-.f64 z 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 z x)) (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z 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 z x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z x)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (-.f64 z x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (-.f64 z x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (-.f64 z x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (neg.f64 x))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 #s(literal -1 binary64) x z)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) z)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (-.f64 (sqrt.f64 z) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (-.f64 (sqrt.f64 z) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 x)) (-.f64 (sqrt.f64 z) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (-.f64 z x) x) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) #s(literal 1 binary64))
(*.f64 (fma.f64 y (-.f64 z x) x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 z x) x) z))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) z))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))
(*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) z))
(*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 y (-.f64 z x) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (fma.f64 y (-.f64 z x) x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) z))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 z)))
(pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 y (-.f64 z x) x) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y (-.f64 z x) x)) z))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))
(exp.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (-.f64 z x)))) (/.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (-.f64 z x)))))
(*.f64 (fma.f64 y (-.f64 z x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x))
(*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 (fma.f64 y (-.f64 z x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (-.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (-.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (-.f64 z x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (-.f64 z x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (-.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (-.f64 z x)) x))
(pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (-.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (-.f64 z x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (-.f64 z x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 y (-.f64 z x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (-.f64 z x)))
(fma.f64 (-.f64 z x) y x)
(fma.f64 (*.f64 y (-.f64 z x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (-.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 z x)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (-.f64 z x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (-.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (-.f64 z x)) x)
(fma.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (sqrt.f64 (-.f64 z x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 (*.f64 y (-.f64 z x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 z x)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)) x)
(fma.f64 (*.f64 (-.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)

simplify172.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
395×fma-neg
325×distribute-lft-neg-in
313×cancel-sign-sub-inv
300×associate-+r+
268×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051711155
1118910253
2397810019
Stop Event
1×node limit
Counts
321 → 303
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y z)
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 y z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) x)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
z
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
y
(+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) z)
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 x z)
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x z))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x z))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z)))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z x) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z x) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z x) z)))))
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)
(/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))) z)
(/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))) z)
(/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))) z)
y
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z)))
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(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z)))
y
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z)))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z)))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z)))
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
x
(*.f64 y (-.f64 z x))
(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
(*.f64 y (-.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)))
(*.f64 y z)
(*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))
(*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))
(*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 z x) (pow.f64 z #s(literal 2 binary64))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (-.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (-.f64 z x)) x))
(pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (-.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (-.f64 z x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (-.f64 z x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 y (-.f64 z x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (-.f64 z x)))
(fma.f64 (-.f64 z x) y x)
(fma.f64 (*.f64 y (-.f64 z x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (-.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 z x)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (-.f64 z x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (-.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (-.f64 z x)) x)
(fma.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (sqrt.f64 (-.f64 z x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 (*.f64 y (-.f64 z x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 z x)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)) x)
(fma.f64 (*.f64 (-.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (neg.f64 x)) z)))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (neg.f64 x)) z)))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (neg.f64 x)) z)))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (neg.f64 x)) z)))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (neg.f64 x)) z)))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (neg.f64 x)) z)))
(*.f64 z (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 y z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
y
(+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(+.f64 y (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 #s(literal 1 binary64) z))))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(+.f64 y (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 #s(literal 1 binary64) z))))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(+.f64 y (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 #s(literal 1 binary64) z))))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) z)
(*.f64 x (/.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64)) z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(*.f64 x (/.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64)) z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 y x)))
(/.f64 x z)
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x z))
(+.f64 y (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 #s(literal 1 binary64) z))))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x z))
(+.f64 y (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 #s(literal 1 binary64) z))))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x z))
(+.f64 y (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 #s(literal 1 binary64) z))))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 y (/.f64 (-.f64 z x) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (*.f64 y z)) (/.f64 x z))))
(*.f64 y (+.f64 (/.f64 x (*.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (*.f64 y z)) (/.f64 x z))))
(*.f64 y (+.f64 (/.f64 x (*.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (*.f64 y z)) (/.f64 x z))))
(*.f64 y (+.f64 (/.f64 x (*.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 y (/.f64 (-.f64 z x) z))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 z x)) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z x)) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (*.f64 (-.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(fma.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)

eval38.0ms (0.5%)

Compiler

Compiled 4573 to 1070 computations (76.6% saved)

prune43.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2976303
Fresh000
Picked101
Done000
Total2986304
Accuracy
100.0%
Counts
304 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.5%
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) #s(literal 2 binary64))
▶68.8%
(/.f64 (+.f64 x (*.f64 y z)) z)
▶52.8%
(/.f64 (*.f64 y (-.f64 z x)) z)
▶41.2%
(/.f64 x z)
▶59.2%
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
▶41.9%
y
Compiler

Compiled 108 to 70 computations (35.2% saved)

simplify170.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z x)
cost-diff0
(*.f64 y (-.f64 z x))
✓cost-diff0
(/.f64 (*.f64 y (-.f64 z x)) z)
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
✓cost-diff0
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
✓cost-diff0
(/.f64 x z)
✓cost-diff-6272
(+.f64 x (*.f64 y z))
✓cost-diff0
(*.f64 y z)
✓cost-diff128
(/.f64 (+.f64 x (*.f64 y z)) z)
Rules
1221×fma-neg
596×fma-define
540×div-sub
438×associate-*r/
363×associate-*l/
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
020251
141243
269240
3122240
4271240
5533240
61177240
72464239
84040235
94983235
105645235
115820235
125874235
137776235
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 y z)) z)
(+.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
y
(/.f64 x z)
x
z
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
x
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z
x
Outputs
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (fma.f64 y z x) z)
(-.f64 (/.f64 x z) (neg.f64 y))
(+.f64 (/.f64 x z) y)
(+.f64 y (/.f64 x z))
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
x
(*.f64 y z)
y
z
y
(/.f64 x z)
x
z
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))
x
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (-.f64 z x) (/.f64 y z))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z
x

localize170.0ms (2.4%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 z x)
accuracy100.0%
(*.f64 y (-.f64 z x))
✓accuracy82.6%
(/.f64 (*.f64 y (-.f64 z x)) z)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
✓accuracy95.8%
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(+.f64 x (*.f64 y z))
✓accuracy86.4%
(/.f64 (+.f64 x (*.f64 y z)) z)
Results
151.0ms256×0valid
Compiler

Compiled 65 to 15 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 117.0ms (91.1% of total)
ival-div: 7.0ms (5.5% of total)
ival-sub: 3.0ms (2.3% of total)
ival-add: 1.0ms (0.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series30.0ms (0.4%)

Counts
8 → 144
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 x (*.f64 y z)) z)>
#<alt (*.f64 y z)>
#<alt (+.f64 x (*.f64 y z))>
#<alt (/.f64 x z)>
#<alt (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) y) z)>
#<alt (-.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 (*.f64 y (-.f64 z x)) z)>
Outputs
#<alt y>
#<alt (+.f64 y (/.f64 x z))>
#<alt (+.f64 y (/.f64 x z))>
#<alt (+.f64 y (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 x z)>
#<alt (+.f64 y (/.f64 x z))>
#<alt (+.f64 y (/.f64 x z))>
#<alt (+.f64 y (/.f64 x z))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))>
#<alt (/.f64 x z)>
#<alt y>
#<alt (+.f64 y (/.f64 x z))>
#<alt (+.f64 y (/.f64 x z))>
#<alt (+.f64 y (/.f64 x z))>
#<alt y>
#<alt (+.f64 y (/.f64 x z))>
#<alt (+.f64 y (/.f64 x z))>
#<alt (+.f64 y (/.f64 x z))>
#<alt (*.f64 y z)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt x>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y z)) z)>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 y x)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y z))))>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
(* x (/ (- 1 y) z))
2.0ms
z
@inf
(/ (+ x (* y z)) z)
1.0ms
y
@0
(/ (+ x (* y z)) z)
1.0ms
x
@0
(* x (/ (- 1 y) z))
1.0ms
z
@0
(* x (/ (- 1 y) z))

rewrite217.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
1256×log1p-expm1-u
638×expm1-log1p-u
154×add-cube-cbrt
151×add-exp-log
150×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020167
1326159
25071159
Stop Event
1×node limit
Counts
8 → 261
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 y z)) z)
(*.f64 y z)
(+.f64 x (*.f64 y z))
(/.f64 x z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
(/.f64 (*.f64 y (-.f64 z x)) z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y z x) z))) #s(literal 1 binary64))
(*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (fma.f64 y z x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) z))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 y z x) z)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 y z x)) z))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (neg.f64 y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 #s(literal 1 binary64) (neg.f64 y)))
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) y)))
(exp.f64 (log1p.f64 (neg.f64 y)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 z x) (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 y (/.f64 (-.f64 z x) z))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (/.f64 y z)))
(*.f64 (-.f64 z x) (/.f64 y z))
(*.f64 (*.f64 y (-.f64 z x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (-.f64 z x) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 (-.f64 z x) z)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))) (sqrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(*.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (/.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) z))
(*.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (*.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (-.f64 z x) z)))
(*.f64 (*.f64 (-.f64 z x) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (-.f64 z x)))
(*.f64 (/.f64 (-.f64 z x) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y (-.f64 z x)) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 y (-.f64 z x)) (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 z x) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 z x) z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (-.f64 z x) (cbrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (-.f64 z x) (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 z x) #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 (-.f64 z x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (cbrt.f64 z)))
(pow.f64 (*.f64 (-.f64 z x) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 z x) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z y) (-.f64 z x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 y (-.f64 z x)) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (-.f64 z x) (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 z x) (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (-.f64 z x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 z x) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 z x) (/.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 z x) (/.f64 y z))) #s(literal 1 binary64)))

simplify158.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
364×cube-prod
353×exp-prod
324×associate-*r*
296×associate-*l*
262×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061211743
1138810840
2489610438
Stop Event
1×node limit
Counts
405 → 350
Calls
Call 1
Inputs
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
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(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
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y
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(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(/.f64 x z)
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
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y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
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(*.f64 y z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
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x
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
x
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
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(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
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(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/.f64 x z)
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))
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(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))
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#s(literal 1 binary64)
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y
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y
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y
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
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(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 y x)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y z x) z))) #s(literal 1 binary64))
(*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (fma.f64 y z x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) z))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 y z x) z)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 y z x)) z))
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(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) y)))
(exp.f64 (log1p.f64 (neg.f64 y)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 z x) (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 y (/.f64 (-.f64 z x) z))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (/.f64 y z)))
(*.f64 (-.f64 z x) (/.f64 y z))
(*.f64 (*.f64 y (-.f64 z x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (-.f64 z x) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 (-.f64 z x) z)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))) (sqrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(*.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (/.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) z))
(*.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (*.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (-.f64 z x) z)))
(*.f64 (*.f64 (-.f64 z x) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (-.f64 z x)))
(*.f64 (/.f64 (-.f64 z x) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y (-.f64 z x)) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 y (-.f64 z x)) (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 z x) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 z x) z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (-.f64 z x) (cbrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (-.f64 z x) (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 z x) #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 (-.f64 z x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (cbrt.f64 z)))
(pow.f64 (*.f64 (-.f64 z x) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 z x) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 z x) (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z y) (-.f64 z x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 y (-.f64 z x)) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (-.f64 z x) (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 z x) (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (-.f64 z x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 z x) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 z x) (/.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 z x) (/.f64 y z))) #s(literal 1 binary64)))
Outputs
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (neg.f64 y))
(/.f64 x z)
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(*.f64 y z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 z (/.f64 y x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 z (/.f64 y x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 z (/.f64 y x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
x
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
x
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(/.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 y (/.f64 (neg.f64 x) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x (*.f64 y z))))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 x z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x (*.f64 y z))))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 x z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x (*.f64 y z))))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(/.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 y (/.f64 (neg.f64 x) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x (*.f64 y z))))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x (*.f64 y z))))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x (*.f64 y z))))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 x z)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 #s(literal 1 binary64) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(/.f64 (neg.f64 y) z)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
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(pow.f64 (/.f64 (/.f64 z y) (-.f64 z x)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y z)) z)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(neg.f64 (/.f64 (*.f64 y (-.f64 z x)) (neg.f64 z)))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y z)) z)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(neg.f64 (/.f64 (*.f64 (-.f64 z x) (neg.f64 y)) z))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y z)) z)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 z x) (/.f64 y z)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y z)) z)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (-.f64 z x) z)))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y z)) z)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 z x) (/.f64 y z)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y z)) z)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 z x) (/.f64 y z)) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y z)) z)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y z)) z)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (-.f64 z x) z))))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y z)) z)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(exp.f64 (log.f64 (*.f64 (-.f64 z x) (/.f64 y z))))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y z)) z)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 z x) (/.f64 y z))) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y z)) z)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))

eval76.0ms (1.1%)

Compiler

Compiled 6111 to 1420 computations (76.8% saved)

prune96.0ms (1.3%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New4985503
Fresh101
Picked055
Done000
Total49910509
Accuracy
100.0%
Counts
509 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶28.0%
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
✓68.8%
(/.f64 (+.f64 x (*.f64 y z)) z)
▶26.5%
(/.f64 (*.f64 (neg.f64 x) y) z)
✓52.8%
(/.f64 (*.f64 y (-.f64 z x)) z)
▶29.8%
(/.f64 (*.f64 y z) z)
✓41.2%
(/.f64 x z)
▶80.9%
(+.f64 y (/.f64 x z))
▶31.5%
(*.f64 y (/.f64 (neg.f64 x) z))
✓59.2%
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
✓41.9%
y
Compiler

Compiled 136 to 88 computations (35.3% saved)

simplify66.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓cost-diff0
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z))
✓cost-diff12928
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(*.f64 (neg.f64 x) y)
✓cost-diff0
(/.f64 (*.f64 (neg.f64 x) y) z)
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(/.f64 (neg.f64 x) z)
✓cost-diff0
(*.f64 y (/.f64 (neg.f64 x) z))
cost-diff0
(*.f64 y z)
✓cost-diff256
(/.f64 (*.f64 y z) z)
cost-diff0
(/.f64 x z)
✓cost-diff0
(+.f64 y (/.f64 x z))
Rules
682×fma-neg
465×associate-/r*
393×times-frac
383×associate-*r/
334×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025325
152308
2102308
3211308
4778308
53873308
66379308
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 y (/.f64 x z))
y
(/.f64 x z)
x
z
(/.f64 (*.f64 y z) z)
(*.f64 y z)
y
z
(*.f64 y (/.f64 (neg.f64 x) z))
y
(/.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
(/.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
z
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 z)
z
Outputs
(+.f64 y (/.f64 x z))
y
(/.f64 x z)
x
z
(/.f64 (*.f64 y z) z)
y
(*.f64 y z)
y
z
(*.f64 y (/.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(/.f64 (*.f64 y x) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y x)) z)
y
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(neg.f64 x)
x
z
(/.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 (neg.f64 x) (/.f64 y z))
(*.f64 y (/.f64 (neg.f64 x) z))
(/.f64 (*.f64 y x) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 x) y)
(neg.f64 (*.f64 x y))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(neg.f64 x)
x
y
z
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (sqrt.f64 z)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 z)
z

localize332.0ms (4.7%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓accuracy99.1%
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
✓accuracy98.0%
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z))
✓accuracy100.0%
(*.f64 (neg.f64 x) y)
✓accuracy100.0%
(neg.f64 x)
✓accuracy95.6%
(/.f64 (*.f64 (neg.f64 x) y) z)
✓accuracy100.0%
(/.f64 (neg.f64 x) z)
✓accuracy100.0%
(neg.f64 x)
✓accuracy95.6%
(*.f64 y (/.f64 (neg.f64 x) z))
accuracy100.0%
(*.f64 y z)
✓accuracy88.8%
(/.f64 (*.f64 y z) z)
accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(+.f64 y (/.f64 x z))
Results
179.0ms127×0valid
30.0ms129×0invalid
Compiler

Compiled 88 to 19 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 181.0ms
ival-div: 163.0ms (90.3% of total)
ival-mult: 11.0ms (6.1% of total)
ival-sqrt: 2.0ms (1.1% of total)
ival-sub: 1.0ms (0.6% of total)
ival-add: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series77.0ms (1.1%)

Counts
11 → 268
Calls
Call 1
Inputs
#<alt (+.f64 y (/.f64 x z))>
#<alt (/.f64 (*.f64 y z) z)>
#<alt (*.f64 y (/.f64 (neg.f64 x) z))>
#<alt (/.f64 (neg.f64 x) z)>
#<alt (neg.f64 x)>
#<alt (/.f64 (*.f64 (neg.f64 x) y) z)>
#<alt (*.f64 (neg.f64 x) y)>
#<alt (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 z)>
Outputs
#<alt (/.f64 x z)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))>
#<alt y>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 x z)>
#<alt (/.f64 (+.f64 x (*.f64 y z)) z)>
#<alt (/.f64 (+.f64 x (*.f64 y z)) z)>
#<alt (/.f64 (+.f64 x (*.f64 y z)) z)>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) 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) (/.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)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

75 calls:

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

rewrite490.0ms (6.9%)

Algorithm
1×batch-egg-rewrite
Rules
1124×log1p-expm1-u
189×times-frac
176×add-exp-log
176×expm1-log1p-u
175×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025225
1414187
26327187
Stop Event
1×node limit
Counts
11 → 428
Calls
Call 1
Inputs
(+.f64 y (/.f64 x z))
(/.f64 (*.f64 y z) z)
(*.f64 y (/.f64 (neg.f64 x) z))
(/.f64 (neg.f64 x) z)
(neg.f64 x)
(/.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 (neg.f64 x) y)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(sqrt.f64 z)
Outputs
(-.f64 y (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 y (/.f64 x z))))
(*.f64 (+.f64 y (/.f64 x z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 x z)))
(*.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (/.f64 x z))))
(*.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 x z))))
(*.f64 (sqrt.f64 (+.f64 y (/.f64 x z))) (sqrt.f64 (+.f64 y (/.f64 x z))))
(*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) y)))))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) y))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 x z)) (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 2 binary64)) (+.f64 y (/.f64 x z)))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 z x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) y)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 2 binary64))) (neg.f64 (+.f64 y (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 x z) y))
(pow.f64 (+.f64 y (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (/.f64 x z)))))
(log.f64 (/.f64 (exp.f64 y) (exp.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y (/.f64 x z))))
(log1p.f64 (expm1.f64 (+.f64 y (/.f64 x z))))
(exp.f64 (log.f64 (+.f64 y (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 x z))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 x z))
(-.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 z (/.f64 y z))
(*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y z)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 y z)) (/.f64 (sqrt.f64 (*.f64 y z)) z))
(*.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (*.f64 y (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 y z) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 z (sqrt.f64 z)))
(*.f64 (/.f64 z (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y z) (cbrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 z)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y z)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y z)) (sqrt.f64 z)))
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(*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 x (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (cbrt.f64 z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 z)))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) z)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) z)) (cbrt.f64 z)) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) z)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) (cbrt.f64 z)) (/.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) (cbrt.f64 (sqrt.f64 z))))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #s(literal -1 binary64))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))) #s(literal 1 binary64))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(*.f64 x (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (sqrt.f64 z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) z)) (cbrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) z)) (neg.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) (sqrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) (neg.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 (-.f64 #s(literal 1 binary64) y) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 x (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 x (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (cbrt.f64 z)) (/.f64 x (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 z)) (cbrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 z)) (/.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) z))) (cbrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))) (sqrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))))
(pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 z) x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) z))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) #s(literal 1 binary64)))
(+.f64 x (*.f64 y x))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))

simplify320.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
822×fma-neg
729×times-frac
325×*-commutative
318×associate-/l*
313×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082818008
1178517113
2679517092
Stop Event
1×node limit
Counts
696 → 558
Calls
Call 1
Inputs
(/.f64 x z)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
y
(/.f64 x z)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(/.f64 x z)
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(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
Outputs
(/.f64 x z)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 x (*.f64 z y)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 x (*.f64 z y)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 x (*.f64 z y)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal -1 binary64)) (neg.f64 y))
y
(/.f64 x z)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 #s(literal -1 binary64) z)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 #s(literal -1 binary64) z)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 #s(literal -1 binary64) z)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 #s(literal -1 binary64) z))))
(/.f64 x z)
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 x (*.f64 z y)) z)
(/.f64 (fma.f64 z y x) z)
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 x (*.f64 z y)) z)
(/.f64 (fma.f64 z y x) z)
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 x (*.f64 z y)) z)
(/.f64 (fma.f64 z y x) z)
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 y (/.f64 x (neg.f64 z)))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))
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(+.f64 x (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(+.f64 x (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) y))))
(*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(+.f64 x (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(+.f64 x (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 x (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(+.f64 x (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(+.f64 x (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(fabs.f64 (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(log.f64 (exp.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (log.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)

eval282.0ms (4%)

Compiler

Compiled 8596 to 1771 computations (79.4% saved)

prune103.0ms (1.5%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New7103713
Fresh000
Picked145
Done055
Total71112723
Accuracy
100.0%
Counts
723 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶33.1%
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #s(literal 2 binary64))
✓68.8%
(/.f64 (+.f64 x (*.f64 y z)) z)
✓26.5%
(/.f64 (*.f64 (neg.f64 x) y) z)
✓52.8%
(/.f64 (*.f64 y (-.f64 z x)) z)
✓29.8%
(/.f64 (*.f64 y z) z)
✓41.2%
(/.f64 x z)
▶45.3%
(-.f64 y (/.f64 x z))
✓80.9%
(+.f64 y (/.f64 x z))
▶37.9%
(*.f64 z (/.f64 y z))
✓31.5%
(*.f64 y (/.f64 (neg.f64 x) z))
✓59.2%
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
✓41.9%
y
Compiler

Compiled 103 to 68 computations (34% saved)

simplify123.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
✓cost-diff0
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
✓cost-diff12864
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #s(literal 2 binary64))
cost-diff0
(/.f64 x z)
✓cost-diff0
(-.f64 y (/.f64 x z))
✓cost-diff0
(/.f64 y z)
✓cost-diff256
(*.f64 z (/.f64 y z))
Rules
648×div-sub
557×fma-neg
381×unsub-neg
298×fma-define
293×distribute-lft-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
020289
136269
257269
3106221
4212197
5453197
61166197
72365197
84352197
95948197
107213197
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 z (/.f64 y z))
z
(/.f64 y z)
y
(-.f64 y (/.f64 x z))
y
(/.f64 x z)
x
z
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 x z)
x
z
#s(literal 2 binary64)
Outputs
(*.f64 z (/.f64 y z))
(/.f64 (*.f64 z y) z)
(*.f64 y #s(literal 1 binary64))
y
z
(/.f64 y z)
y
(/.f64 (*.f64 z y) z)
(*.f64 z (/.f64 y z))
(*.f64 y #s(literal 1 binary64))
(-.f64 y (/.f64 x z))
y
(/.f64 (*.f64 z y) z)
(*.f64 z (/.f64 y z))
(*.f64 y #s(literal 1 binary64))
(/.f64 x z)
x
z
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 (*.f64 z y) z)
(*.f64 z (/.f64 y z))
(*.f64 y #s(literal 1 binary64))
(/.f64 x z)
x
z
#s(literal 2 binary64)

localize197.0ms (2.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy99.7%
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #s(literal 2 binary64))
✓accuracy97.1%
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
✓accuracy86.2%
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(-.f64 y (/.f64 x z))
✓accuracy100.0%
(/.f64 y z)
✓accuracy86.2%
(*.f64 z (/.f64 y z))
Results
161.0ms138×0valid
15.0ms118×0invalid
Compiler

Compiled 61 to 14 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 4.0ms (25.3% of total)
ival-mult: 4.0ms (25.3% of total)
ival-sub: 3.0ms (19% of total)
ival-pow: 3.0ms (19% of total)
ival-sqrt: 2.0ms (12.6% of total)
const: 1.0ms (6.3% of total)
backward-pass: 0.0ms (0% of total)

series24.0ms (0.3%)

Counts
6 → 165
Calls
Call 1
Inputs
#<alt (*.f64 z (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (-.f64 y (/.f64 x z))>
#<alt (pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))>
Outputs
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 x (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (/.f64 (-.f64 (*.f64 y z) x) z)>
#<alt (/.f64 (-.f64 (*.f64 y z) x) z)>
#<alt (/.f64 (-.f64 (*.f64 y z) x) z)>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))) z))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y))) z))>
#<alt (sqrt.f64 (/.f64 x z))>
#<alt (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))>
#<alt (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 5 binary64)) z))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 5 binary64)) z))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 7 binary64)) z))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 5 binary64)) z))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 5 binary64)) z))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 7 binary64)) z))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))>
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x z))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)>
Calls

48 calls:

TimeVariablePointExpression
7.0ms
z
@0
(sqrt (* (- 1 y) (/ x z)))
1.0ms
y
@inf
(sqrt (* (- 1 y) (/ x z)))
1.0ms
y
@-inf
(sqrt (* (- 1 y) (/ x z)))
1.0ms
x
@-inf
(pow (sqrt (* (- 1 y) (/ x z))) 2)
1.0ms
z
@-inf
(pow (sqrt (* (- 1 y) (/ x z))) 2)

rewrite181.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
835×log1p-expm1-u
835×expm1-log1p-u
686×prod-diff
125×fma-neg
110×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020145
1271145
23566145
Stop Event
1×node limit
Counts
6 → 296
Calls
Call 1
Inputs
(*.f64 z (/.f64 y z))
(/.f64 y z)
(-.f64 y (/.f64 x z))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z y) z))) #s(literal 1 binary64))
(/.f64 z (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z y)))
(/.f64 (*.f64 z y) z)
(/.f64 (neg.f64 (*.f64 z y)) (neg.f64 z))
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 z))
(/.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (/.f64 (*.f64 z y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 z y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 z y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 z y) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 z y) z))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 z y) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 z y) z)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 z y) z)))
(exp.f64 (log.f64 (/.f64 (*.f64 z y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(+.f64 y (/.f64 (neg.f64 x) z))
(+.f64 y (*.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64)))
(+.f64 (-.f64 y (/.f64 x z)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x (/.f64 x z)))
(+.f64 (-.f64 y (/.f64 x z)) (fma.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64) (/.f64 x z)))
(+.f64 (-.f64 y (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(+.f64 (-.f64 y (/.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (/.f64 x z)))
(+.f64 (-.f64 y (/.f64 x z)) (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x z)))
(+.f64 (-.f64 y (/.f64 x z)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (/.f64 x z)))
(+.f64 (-.f64 y (/.f64 x z)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(+.f64 (/.f64 (neg.f64 x) z) y)
(+.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 x) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) z) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) z)) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) z) (sqrt.f64 x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z))) (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 x))))
(+.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
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simplify561.0ms (7.9%)

Algorithm
1×egg-herbie
Rules
488×fma-neg
270×associate-*r*
261×*-commutative
245×cube-prod
234×exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072420795
1183716721
2575416721
Stop Event
1×node limit
Counts
461 → 362
Calls
Call 1
Inputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
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(cbrt.f64 (pow.f64 (-.f64 y (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y (/.f64 x z))))
(log1p.f64 (expm1.f64 (-.f64 y (/.f64 x z))))
(exp.f64 (log.f64 (-.f64 y (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (-.f64 y (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (/.f64 (neg.f64 x) z))
(fma.f64 #s(literal 1 binary64) y (/.f64 (neg.f64 x) z))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (neg.f64 x) z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (neg.f64 x) z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (neg.f64 x) z))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (neg.f64 y)))
(+.f64 (/.f64 x z) (*.f64 (neg.f64 y) (/.f64 x z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(*.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x z)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (/.f64 x z)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (/.f64 x z)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (/.f64 x z) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 z x) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (neg.f64 z) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (/.f64 z x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (*.f64 (+.f64 y #s(literal 1 binary64)) z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (neg.f64 x)) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (neg.f64 z))
(/.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)) (neg.f64 z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x z)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))) (cbrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 z))
(pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (neg.f64 y)))
(+.f64 (/.f64 x z) (*.f64 (neg.f64 y) (/.f64 x z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 z x) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (neg.f64 z) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (/.f64 z x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (*.f64 (+.f64 y #s(literal 1 binary64)) z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (neg.f64 x)) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (neg.f64 z))
(/.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)) (neg.f64 z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x z)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) (-.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
Outputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 y z))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 y z))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 y z))))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) z))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (/.f64 z x))
(*.f64 (/.f64 x z) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (/.f64 z x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (/.f64 z x))
(*.f64 (/.f64 x z) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 z)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (/.f64 z x))
(*.f64 (/.f64 x z) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (*.f64 (+.f64 y #s(literal 1 binary64)) z))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (fma.f64 y z z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (fma.f64 y z z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (neg.f64 x)) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (fma.f64 y z z)))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (neg.f64 z))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (/.f64 z x))
(*.f64 (/.f64 x z) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (fma.f64 y z z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)) (neg.f64 z))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)) (neg.f64 z))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (/.f64 z x))
(*.f64 (/.f64 x z) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x z)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (fma.f64 y z z)))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(pow.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(pow.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(exp.f64 (log.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))

eval129.0ms (1.8%)

Compiler

Compiled 8327 to 1428 computations (82.9% saved)

prune80.0ms (1.1%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New4812483
Fresh000
Picked213
Done099
Total48312495
Accuracy
100.0%
Counts
495 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.7%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
✓68.8%
(/.f64 (+.f64 x (*.f64 y z)) z)
✓26.5%
(/.f64 (*.f64 (neg.f64 x) y) z)
✓52.8%
(/.f64 (*.f64 y (-.f64 z x)) z)
✓29.8%
(/.f64 (*.f64 y z) z)
6.4%
(/.f64 (neg.f64 x) z)
✓41.2%
(/.f64 x z)
✓80.9%
(+.f64 y (/.f64 x z))
✓37.9%
(*.f64 z (/.f64 y z))
✓31.5%
(*.f64 y (/.f64 (neg.f64 x) z))
✓59.2%
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
✓41.9%
y
Compiler

Compiled 223 to 113 computations (49.3% saved)

regimes40.0ms (0.6%)

Counts
17 → 3
Calls
Call 1
Inputs
y
(/.f64 x z)
(/.f64 (neg.f64 x) z)
(*.f64 z (/.f64 y z))
(+.f64 y (/.f64 x z))
(-.f64 y (/.f64 x z))
(/.f64 (*.f64 y z) z)
(*.f64 y (/.f64 (neg.f64 x) z))
(/.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) #s(literal 2 binary64))
Outputs
(+.f64 y (/.f64 x z))
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(+.f64 y (/.f64 x z))
Calls

4 calls:

21.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
7.0ms
y
6.0ms
z
5.0ms
x
Results
AccuracySegmentsBranch
89.5%3x
90.5%2y
97.4%3z
86.1%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes15.0ms (0.2%)

Counts
12 → 4
Calls
Call 1
Inputs
y
(/.f64 x z)
(/.f64 (neg.f64 x) z)
(*.f64 z (/.f64 y z))
(+.f64 y (/.f64 x z))
(-.f64 y (/.f64 x z))
(/.f64 (*.f64 y z) z)
(*.f64 y (/.f64 (neg.f64 x) z))
(/.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (+.f64 x (*.f64 y z)) z)
Outputs
(/.f64 (*.f64 y (-.f64 z x)) z)
(+.f64 y (/.f64 x z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(-.f64 y (/.f64 x z))
Calls

3 calls:

5.0ms
z
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
88.7%3x
90.5%4y
88.8%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
y
(/.f64 x z)
(/.f64 (neg.f64 x) z)
(*.f64 z (/.f64 y z))
(+.f64 y (/.f64 x z))
(-.f64 y (/.f64 x z))
(/.f64 (*.f64 y z) z)
(*.f64 y (/.f64 (neg.f64 x) z))
(/.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
Outputs
(+.f64 y (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(+.f64 y (/.f64 x z))
Calls

2 calls:

4.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
88.8%3z
85.4%2y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes125.0ms (1.8%)

Counts
9 → 2
Calls
Call 1
Inputs
y
(/.f64 x z)
(/.f64 (neg.f64 x) z)
(*.f64 z (/.f64 y z))
(+.f64 y (/.f64 x z))
(-.f64 y (/.f64 x z))
(/.f64 (*.f64 y z) z)
(*.f64 y (/.f64 (neg.f64 x) z))
(/.f64 (*.f64 (neg.f64 x) y) z)
Outputs
(+.f64 y (/.f64 x z))
(-.f64 y (/.f64 x z))
Calls

3 calls:

117.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
85.4%2y
82.7%2x
84.4%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

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

3 calls:

4.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
80.9%1x
80.9%1z
80.9%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

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

3 calls:

2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
63.0%3z
63.2%3x
66.6%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
66.0%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
41.9%1z
41.9%1x
41.9%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch26.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
5.537015349357762e-11
1.136049710131532e-9
13.0ms
-1.76049532090285e+83
-4.596471815286367e+73
Results
15.0ms256×0valid
Compiler

Compiled 370 to 236 computations (36.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (28.3% of total)
ival-div: 2.0ms (28.3% of total)
ival-mult: 2.0ms (28.3% of total)
ival-add: 1.0ms (14.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.1164185648433385e+108
1.1462554578739131e+118
16.0ms
2.7991766378354693e-11
34572847100582748.0
20.0ms
-1.8623904087417527e+20
-14491477281.413214
Results
36.0ms496×0valid
Compiler

Compiled 638 to 415 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sub: 9.0ms (45.1% of total)
ival-div: 4.0ms (20.1% of total)
ival-mult: 4.0ms (20.1% of total)
ival-add: 3.0ms (15% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
5.537015349357762e-11
1.136049710131532e-9
14.0ms
-1.6031890798395676
-9.076992200377162e-7
Results
15.0ms256×0valid
Compiler

Compiled 338 to 236 computations (30.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (27.8% of total)
ival-div: 2.0ms (27.8% of total)
ival-mult: 2.0ms (27.8% of total)
ival-add: 1.0ms (13.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch111.0ms (1.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
110.0ms
6.644518827154443e-16
2.7991766378354693e-11
Results
106.0ms128×0valid
Compiler

Compiled 162 to 108 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (27% of total)
ival-div: 1.0ms (27% of total)
ival-add: 1.0ms (27% of total)
ival-mult: 1.0ms (27% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
2.265011907992997e-44
7.959480122430145e-42
11.0ms
-2.782625317094992e-38
-1.5949755656188976e-39
Results
14.0ms240×0valid
Compiler

Compiled 226 to 161 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (30.5% of total)
ival-div: 2.0ms (30.5% of total)
ival-mult: 2.0ms (30.5% of total)
ival-add: 1.0ms (15.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.265011907992997e-44
7.959480122430145e-42
11.0ms
-2.782625317094992e-38
-1.5949755656188976e-39
Results
15.0ms240×0valid
Compiler

Compiled 198 to 147 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (29.4% of total)
ival-mult: 2.0ms (29.4% of total)
ival-sub: 1.0ms (14.7% of total)
ival-add: 1.0ms (14.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
9×+-commutative
7×sub-neg
7×*-commutative
6×if-if-or-not
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061506
189506
2102506
3110506
4115506
5116506
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 z #s(literal -4200000000000000159086051820587205661447942375116082460464186153870236755951616 binary64)) (+.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal 5415987671873539/4835703278458516698824704 binary64)) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (+.f64 y (/.f64 x z))))
(if (<=.f64 y #s(literal -14500000000 binary64)) (/.f64 (*.f64 y (-.f64 z x)) z) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 2799999999999999973574341969450778888030892643615088322133935836623536621636656564023463117382103310340955921692229632 binary64)) (/.f64 (*.f64 y (-.f64 z x)) z) (-.f64 y (/.f64 x z)))))
(if (<=.f64 z #s(literal -48999163945791/576460752303423488 binary64)) (+.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal 7737125245533627/9671406556917033397649408 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) (+.f64 y (/.f64 x z))))
(if (<=.f64 y #s(literal 8510837770086989/309485009821345068724781056 binary64)) (+.f64 y (/.f64 x z)) (-.f64 y (/.f64 x z)))
(+.f64 y (/.f64 x z))
(if (<=.f64 y #s(literal -5267953421726493/191561942608236107294793378393788647952342390272950272 binary64)) (*.f64 z (/.f64 y z)) (if (<=.f64 y #s(literal 3060087096001007/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 x z) y))
(if (<=.f64 y #s(literal -4980610507814139/191561942608236107294793378393788647952342390272950272 binary64)) y (if (<=.f64 y #s(literal 1294652232923503/784637716923335095479473677900958302012794430558004314112 binary64)) (/.f64 x z) y))
y
Outputs
(if (<=.f64 z #s(literal -4200000000000000159086051820587205661447942375116082460464186153870236755951616 binary64)) (+.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal 5415987671873539/4835703278458516698824704 binary64)) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (+.f64 y (/.f64 x z))))
(if (or (<=.f64 z #s(literal -4200000000000000159086051820587205661447942375116082460464186153870236755951616 binary64)) (not (<=.f64 z #s(literal 5415987671873539/4835703278458516698824704 binary64)))) (+.f64 y (/.f64 x z)) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z))
(if (<=.f64 y #s(literal -14500000000 binary64)) (/.f64 (*.f64 y (-.f64 z x)) z) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 2799999999999999973574341969450778888030892643615088322133935836623536621636656564023463117382103310340955921692229632 binary64)) (/.f64 (*.f64 y (-.f64 z x)) z) (-.f64 y (/.f64 x z)))))
(if (<=.f64 z #s(literal -48999163945791/576460752303423488 binary64)) (+.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal 7737125245533627/9671406556917033397649408 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) (+.f64 y (/.f64 x z))))
(if (or (<=.f64 z #s(literal -48999163945791/576460752303423488 binary64)) (not (<=.f64 z #s(literal 7737125245533627/9671406556917033397649408 binary64)))) (+.f64 y (/.f64 x z)) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(if (<=.f64 y #s(literal 8510837770086989/309485009821345068724781056 binary64)) (+.f64 y (/.f64 x z)) (-.f64 y (/.f64 x z)))
(+.f64 y (/.f64 x z))
(if (<=.f64 y #s(literal -5267953421726493/191561942608236107294793378393788647952342390272950272 binary64)) (*.f64 z (/.f64 y z)) (if (<=.f64 y #s(literal 3060087096001007/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 x z) y))
(if (<=.f64 y #s(literal -4980610507814139/191561942608236107294793378393788647952342390272950272 binary64)) y (if (<=.f64 y #s(literal 1294652232923503/784637716923335095479473677900958302012794430558004314112 binary64)) (/.f64 x z) y))
y

soundness408.0ms (5.7%)

Rules
1124×log1p-expm1-u
395×fma-neg
325×distribute-lft-neg-in
313×cancel-sign-sub-inv
300×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025225
1414187
26327187
051711155
1118910253
2397810019
Stop Event
1×fuel
1×node limit
1×node limit
Compiler

Compiled 250 to 108 computations (56.8% saved)

preprocess55.0ms (0.8%)

Compiler

Compiled 318 to 138 computations (56.6% saved)

end0.0ms (0%)

Profiling

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