Optimisation.CirclePacking:place from circle-packing-0.1.0.4, H

Time bar (total: 4.8s)

analyze0.0ms (0%)

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

Compiled 12 to 9 computations (25% saved)

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

sample1.0s (20.9%)

Results
718.0ms8252×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 359.0ms
ival-mult: 190.0ms (52.9% of total)
ival-sub: 77.0ms (21.4% of total)
ival-add: 68.0ms (18.9% of total)
ival-true: 10.0ms (2.8% of total)
ival-assert: 7.0ms (1.9% of total)
const: 4.0ms (1.1% of total)
backward-pass: 3.0ms (0.8% of total)
Bogosity

preprocess316.0ms (6.5%)

Algorithm
egg-herbie
Rules
3057×fmm-def
586×unsub-neg
457×sub-neg
415×fma-define
333×distribute-lft-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034328
179312
2246308
3932308
43194308
55683308
66648308
76902308
86954308
96977308
106980308
117043308
127051308
137051308
147051308
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (neg.f64 z)))
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) z)))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) z)))
(neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (neg.f64 z))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 z y) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 x z) (-.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y (neg.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 y x))
(*.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) z))
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y (neg.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 y x))
(neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (neg.f64 z))))
(*.f64 (+.f64 x y) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 z))))
(*.f64 (+.f64 x y) (+.f64 #s(literal -1 binary64) (neg.f64 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) z))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 z y) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 y z) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 x z) (-.f64 #s(literal 1 binary64) y))
Symmetry

(sort x y)

explain69.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
00-0-y
00-0-(-.f64 #s(literal 1 binary64) z)
00-0-#s(literal 1 binary64)
00-0-(+.f64 x y)
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
34.0ms512×0valid
Compiler

Compiled 64 to 32 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (34.5% of total)
ival-add: 3.0ms (25.9% of total)
ival-sub: 3.0ms (25.9% of total)
ival-true: 1.0ms (8.6% of total)
ival-assert: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

simplify83.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Rules
673×fmm-def
459×fma-define
151×associate-+l-
135×distribute-lft-in
131×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01364
12364
24164
39464
426964
571964
6125064
7203664
8253464
9285664
10289164
11289164
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z

localize25.0ms (0.5%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
18.0ms256×0valid
Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (27.6% of total)
ival-add: 2.0ms (27.6% of total)
ival-mult: 2.0ms (27.6% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
3 → 66
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 x y)>
#<alt (-.f64 #s(literal 1 binary64) z)>
Outputs
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))>
Calls

18 calls:

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

rewrite396.0ms (8.2%)

Algorithm
batch-egg-rewrite
Rules
785×log1p-expm1-u
785×expm1-log1p-u
587×prod-diff
353×log-prod
238×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01351
115351
2204651
Stop Event
node limit
Counts
3 → 159
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x y)
(-.f64 #s(literal 1 binary64) z)
Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(+.f64 (+.f64 x y) (*.f64 (neg.f64 z) (+.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 x y) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) z) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) z)) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) z)) (-.f64 x y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 x y)) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))) #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (+.f64 x y) #s(literal 1 binary64) (*.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (+.f64 x y) #s(literal 1 binary64) (*.f64 (neg.f64 z) (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (*.f64 (neg.f64 z) (+.f64 x y)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (+.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 (neg.f64 z) (+.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (neg.f64 z) (+.f64 x y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 z) (+.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (neg.f64 z) (+.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 #s(literal 1 binary64) (neg.f64 z))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))
(+.f64 (neg.f64 z) #s(literal 1 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (neg.f64 z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z))) (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) z)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 #s(literal 1 binary64) (neg.f64 z)))
(pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) z)))
(exp.f64 (log1p.f64 (neg.f64 z)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 z))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))

simplify113.0ms (2.3%)

Algorithm
egg-herbie
Rules
382×associate-/l*
360×associate-/r*
304×associate-+r+
291×associate-+l+
200×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04056912
19706714
232826624
Stop Event
node limit
Counts
225 → 230
Calls
Call 1
Inputs
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(+.f64 x y)
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
y
x
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) z)))
(exp.f64 (log1p.f64 (neg.f64 z)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 z))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))
Outputs
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.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) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.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) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(+.f64 x y)
(+.f64 y x)
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(neg.f64 (*.f64 z (+.f64 y x)))
(*.f64 z (neg.f64 (+.f64 y x)))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (+.f64 y x) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (+.f64 y x)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) (+.f64 y x))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (+.f64 y x) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (+.f64 y x)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) (+.f64 y x))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (+.f64 y x) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (+.f64 y x)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) (+.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(neg.f64 (*.f64 z (+.f64 y x)))
(*.f64 z (neg.f64 (+.f64 y x)))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 (neg.f64 z) (+.f64 (+.f64 y x) (/.f64 (neg.f64 (+.f64 y x)) z)))
(*.f64 z (neg.f64 (+.f64 x (-.f64 y (/.f64 (+.f64 y x) z)))))
(*.f64 z (neg.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 (neg.f64 z) (+.f64 (+.f64 y x) (/.f64 (neg.f64 (+.f64 y x)) z)))
(*.f64 z (neg.f64 (+.f64 x (-.f64 y (/.f64 (+.f64 y x) z)))))
(*.f64 z (neg.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 (neg.f64 z) (+.f64 (+.f64 y x) (/.f64 (neg.f64 (+.f64 y x)) z)))
(*.f64 z (neg.f64 (+.f64 x (-.f64 y (/.f64 (+.f64 y x) z)))))
(*.f64 z (neg.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 x))
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) z)
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) z)
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
(-.f64 #s(literal 1 binary64) z)
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (+.f64 x y) (*.f64 (neg.f64 z) (+.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y)))))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(+.f64 y x)
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(+.f64 y x)
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 y x)
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(+.f64 y x)
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y x)
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(+.f64 y x)
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 y x)
(log.f64 (exp.f64 (+.f64 x y)))
(+.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(+.f64 y x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(+.f64 y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(+.f64 y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(+.f64 y x)
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(+.f64 y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 y x)
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(+.f64 y x)
(expm1.f64 (log1p.f64 (+.f64 x y)))
(+.f64 y x)
(log1p.f64 (expm1.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (log.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(+.f64 y x)
(fma.f64 x #s(literal 1 binary64) y)
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(+.f64 y x)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(+.f64 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 y x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 y x)
(+.f64 #s(literal 1 binary64) (neg.f64 z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 (neg.f64 z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(+.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (neg.f64 z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z))) (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) z)
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) z)
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) z)
(pow.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) z)
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) z))))
(-.f64 #s(literal 1 binary64) z)
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) z)
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) z)
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) z)
(exp.f64 (log1p.f64 (neg.f64 z)))
(-.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 z))) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 z))) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 z))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)

eval33.0ms (0.7%)

Compiler

Compiled 3140 to 619 computations (80.3% saved)

prune53.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2255230
Fresh000
Picked101
Done000
Total2265231
Accuracy
100.0%
Counts
231 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(+.f64 y x)
49.3%
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
45.0%
(*.f64 (+.f64 x y) (neg.f64 z))
53.3%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
89.0%
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
Compiler

Compiled 90 to 62 computations (31.1% saved)

simplify97.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 z)
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) (neg.f64 z))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 y (-.f64 #s(literal 1 binary64) z))
cost-diff0
(+.f64 y x)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
cost-diff256
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
Rules
776×fma-define
500×unsub-neg
499×div-sub
485×fmm-def
429×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
022288
146288
2124288
3403287
41303273
53326273
66002273
77871273
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
y
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
x
(+.f64 y x)
y
x
(*.f64 y (-.f64 #s(literal 1 binary64) z))
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
(*.f64 (+.f64 x y) (neg.f64 z))
(+.f64 x y)
x
y
(neg.f64 z)
z
Outputs
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 y (/.f64 x y) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
y
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
x
(+.f64 y x)
y
x
(*.f64 y (-.f64 #s(literal 1 binary64) z))
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 (neg.f64 z) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(neg.f64 z)
z

localize105.0ms (2.2%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(*.f64 (+.f64 x y) (neg.f64 z))
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy89.0%
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
Results
84.0ms255×0valid
0.0ms1valid
Compiler

Compiled 81 to 17 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 10.0ms (50.3% of total)
ival-add: 4.0ms (20.1% of total)
ival-div: 2.0ms (10.1% of total)
ival-sub: 2.0ms (10.1% of total)
ival-neg: 1.0ms (5% of total)
const: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.5%)

Counts
8 → 195
Calls
Call 1
Inputs
#<alt (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x y))>
#<alt (+.f64 y x)>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) z) x)>
#<alt (*.f64 (+.f64 x y) (neg.f64 z))>
#<alt (neg.f64 z)>
Outputs
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x y))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)) (/.f64 x y)))))>
#<alt (-.f64 #s(literal 1 binary64) z)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))) z)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))) z)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))) z)>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)>
#<alt (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)>
#<alt (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) y)>
#<alt (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) y)>
#<alt (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) y)>
#<alt (-.f64 #s(literal 1 binary64) z)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z)>
#<alt (-.f64 #s(literal 1 binary64) z)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z)>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x y) y)>
#<alt (/.f64 (+.f64 x y) y)>
#<alt (/.f64 (+.f64 x y) y)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt x>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
Calls

54 calls:

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

rewrite178.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
1023×log1p-expm1-u
817×expm1-log1p-u
153×associate-*r*
152×add-cube-cbrt
150×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022181
1345173
25090173
Stop Event
node limit
Counts
8 → 244
Calls
Call 1
Inputs
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 y x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 (+.f64 x y) (neg.f64 z))
(neg.f64 z)
Outputs
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y))))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) (/.f64 x y)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y)) y))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 x y) (*.f64 y (+.f64 #s(literal 1 binary64) z))))
(+.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) (/.f64 x y)) (*.f64 y (+.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 (/.f64 x y) (*.f64 y (+.f64 #s(literal 1 binary64) z))) (*.f64 y (+.f64 #s(literal 1 binary64) z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (+.f64 #s(literal 1 binary64) z))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (+.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (+.f64 #s(literal 1 binary64) z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (+.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (+.f64 #s(literal 1 binary64) z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (+.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) z)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (+.f64 #s(literal 1 binary64) z))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (+.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (+.f64 #s(literal 1 binary64) z)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (+.f64 #s(literal 1 binary64) z)))))
(exp.f64 (+.f64 (+.f64 (log1p.f64 z) (log.f64 y)) (log1p.f64 (/.f64 x y))))
(exp.f64 (*.f64 (+.f64 (+.f64 (log1p.f64 z) (log.f64 y)) (log1p.f64 (/.f64 x y))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 z (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y))))
(+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y)) (+.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) (-.f64 z (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y)) (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y))) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y)) (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y)))) (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(exp.f64 (+.f64 (log1p.f64 z) (log1p.f64 (/.f64 x y))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log1p.f64 (/.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(fma.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(exp.f64 (log1p.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y x)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y x))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 y x)))
(exp.f64 (log.f64 (+.f64 y x)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 y (*.f64 z y))
(+.f64 y (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z))))
(exp.f64 (+.f64 (log1p.f64 z) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 y)) #s(literal 1 binary64)))
(+.f64 x (*.f64 z x))
(+.f64 x (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) x) (+.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) z)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x)))
(exp.f64 (+.f64 (log1p.f64 z) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 z y) (*.f64 z x))
(+.f64 (*.f64 z x) (*.f64 z y))
(+.f64 (*.f64 y z) (*.f64 x z))
(+.f64 (*.f64 x z) (*.f64 y z))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y x) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y x) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x))
(pow.f64 (*.f64 (+.f64 y x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64))
(neg.f64 (*.f64 (+.f64 y x) z))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y x) z))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) z)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) z)))
(exp.f64 (log.f64 (*.f64 (+.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) z)
(-.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) z)
(*.f64 #s(literal 1 binary64) z)
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))

simplify241.0ms (5%)

Algorithm
egg-herbie
Rules
517×associate-*l*
482×associate-*r*
428×distribute-lft-in
425×distribute-rgt-in
408×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063714895
1162614193
2684114193
Stop Event
node limit
Counts
439 → 433
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x))
(pow.f64 (*.f64 (+.f64 y x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64))
(neg.f64 (*.f64 (+.f64 y x) z))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y x) z))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) z)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) z)))
(exp.f64 (log.f64 (*.f64 (+.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) z)
(-.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) z)
(*.f64 #s(literal 1 binary64) z)
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))
(*.f64 y (neg.f64 (neg.f64 (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))
(*.f64 y (neg.f64 (neg.f64 (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)))))
(*.f64 y (neg.f64 (neg.f64 (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 y) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z))))
(*.f64 z (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z) (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z))))
(*.f64 z (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z) (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z))))
(*.f64 z (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z) (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 y) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))) (neg.f64 z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+.f64 (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 x (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(+.f64 (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 x (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(+.f64 (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 x (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)))))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)))))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)))))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (fma.f64 x (/.f64 z y) z)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (fma.f64 x (/.f64 z y) z)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (fma.f64 x (/.f64 z y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 z y)))))
(*.f64 z (+.f64 (/.f64 (/.f64 x y) z) (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 z y)))))
(*.f64 z (+.f64 (/.f64 (/.f64 x y) z) (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 z y)))))
(*.f64 z (+.f64 (/.f64 (/.f64 x y) z) (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
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(*.f64 x (/.f64 (fma.f64 z z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z z z))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) z)))
(*.f64 x (/.f64 (fma.f64 z z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) z)))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 x z x)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x)) #s(literal 3 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 x z x)
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 x z x)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 x z x)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x z x))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) z)) x))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 x z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 x z x)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 x z x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 x z x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 x z x)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z))))
(expm1.f64 (log1p.f64 (fma.f64 x z x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 x z x)
(exp.f64 (+.f64 (log1p.f64 z) (log.f64 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 x z x)
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 x z x)
(+.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 z x) (*.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 x z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y x) z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 x y))))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 z (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(*.f64 z (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (-.f64 x y)))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (-.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 z (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y))
(*.f64 z (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (-.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (-.f64 x y)))
(pow.f64 (*.f64 (+.f64 y x) z) #s(literal 1 binary64))
(*.f64 z (+.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) #s(literal 3 binary64))
(*.f64 z (+.f64 x y))
(pow.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (+.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64))
(*.f64 z (+.f64 x y))
(neg.f64 (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 z (+.f64 x y)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))
(*.f64 z (+.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y x) z))))
(*.f64 z (+.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 3 binary64)))
(*.f64 z (+.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(*.f64 z (+.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 z (+.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) z)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) z)))
(*.f64 z (+.f64 x y))
(exp.f64 (log.f64 (*.f64 (+.f64 y x) z)))
(*.f64 z (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 1 binary64)))
(*.f64 z (+.f64 x y))
(+.f64 #s(literal 0 binary64) z)
z
(-.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
z
(-.f64 #s(literal 0 binary64) z)
(neg.f64 z)
(*.f64 #s(literal 1 binary64) z)
z
(*.f64 z #s(literal 1 binary64))
z
(*.f64 z #s(literal -1 binary64))
(neg.f64 z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
z
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
z
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(neg.f64 z)
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
z
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(neg.f64 z)
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(neg.f64 z)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(neg.f64 z)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(neg.f64 z)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
z
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
z
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
z
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
z
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(fabs.f64 z)
(log.f64 (exp.f64 z))
z
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
z
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
z
(log1p.f64 (expm1.f64 z))
z
(exp.f64 (log.f64 z))
z
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
z

eval78.0ms (1.6%)

Compiler

Compiled 8403 to 1571 computations (81.3% saved)

prune120.0ms (2.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New6556661
Fresh000
Picked145
Done000
Total65610666
Accuracy
100.0%
Counts
666 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.2%
(+.f64 y (*.f64 z y))
55.9%
(+.f64 y x)
49.3%
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
45.0%
(*.f64 (+.f64 x y) (neg.f64 z))
23.7%
(*.f64 (neg.f64 z) x)
25.1%
(*.f64 (neg.f64 y) z)
53.3%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
40.4%
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
30.0%
y
27.4%
x
Compiler

Compiled 115 to 80 computations (30.4% saved)

simplify155.0ms (3.2%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) x)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) z)
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 x y))
cost-diff0
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
cost-diff192
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
Rules
802×fmm-def
595×fma-define
563×associate-*r/
541×associate-/l*
494×distribute-rgt-neg-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
019184
135184
275184
3173184
4439184
51061173
63264173
74439173
84876173
95272173
105430173
115510173
126205173
137821173
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
y
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
z
(-.f64 #s(literal -1 binary64) (/.f64 x y))
#s(literal -1 binary64)
(/.f64 x y)
x
x
y
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(*.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
Outputs
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (*.f64 y z) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 z (-.f64 (neg.f64 x) y))
y
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
z
(-.f64 #s(literal -1 binary64) (/.f64 x y))
#s(literal -1 binary64)
(/.f64 x y)
x
x
y
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(neg.f64 y)
y
z
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(neg.f64 z)
z
x

localize58.0ms (1.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (neg.f64 z) x)
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(*.f64 (neg.f64 y) z)
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 #s(literal -1 binary64) (/.f64 x y))
accuracy96.9%
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
accuracy91.8%
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
Results
39.0ms256×0valid
Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (41.9% of total)
ival-neg: 6.0ms (31.4% of total)
ival-div: 2.0ms (10.5% of total)
ival-sub: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.4%)

Counts
7 → 156
Calls
Call 1
Inputs
#<alt (*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (-.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (*.f64 (neg.f64 y) z)>
#<alt (neg.f64 y)>
#<alt (*.f64 (neg.f64 z) x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) y) x) y)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) y) x) y)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) y) x) y)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.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))>
Calls

45 calls:

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

rewrite131.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1029×log1p-expm1-u
1029×expm1-log1p-u
442×prod-diff
133×associate-*r*
111×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019139
1252127
23550127
Stop Event
node limit
Counts
7 → 177
Calls
Call 1
Inputs
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 x y)
(*.f64 (neg.f64 y) z)
(neg.f64 y)
(*.f64 (neg.f64 z) x)
Outputs
(+.f64 (*.f64 y z) (*.f64 (/.f64 x y) (*.f64 y z)))
(+.f64 (*.f64 (*.f64 y z) #s(literal -1 binary64)) (*.f64 (*.f64 y z) (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y z) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))
(/.f64 (*.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z))))
(exp.f64 (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 z (*.f64 z (/.f64 x y)))
(+.f64 z (*.f64 (/.f64 x y) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))))) #s(literal 1 binary64))
(/.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))
(/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) z) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) z) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(exp.f64 (log.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y)))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 (/.f64 x y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(neg.f64 (*.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #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 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(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))
(neg.f64 (*.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 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)))

simplify343.0ms (7.1%)

Algorithm
egg-herbie
Rules
522×fmm-def
488×cancel-sign-sub-inv
280×exp-prod
256×distribute-lft-neg-in
251×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03938076
18337568
232697302
Stop Event
node limit
Counts
333 → 258
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
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(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
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(*.f64 #s(literal -1 binary64) z)
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(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
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#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
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(*.f64 #s(literal -1 binary64) y)
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(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(+.f64 (*.f64 y z) (*.f64 (/.f64 x y) (*.f64 y z)))
(+.f64 (*.f64 (*.f64 y z) #s(literal -1 binary64)) (*.f64 (*.f64 y z) (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y z) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))
(/.f64 (*.f64 (*.f64 y z) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z))))
(exp.f64 (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 z (*.f64 z (/.f64 x y)))
(+.f64 z (*.f64 (/.f64 x y) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))))) #s(literal 1 binary64))
(/.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))
(/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) z) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) z) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(exp.f64 (log.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x y)))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 (/.f64 x y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(neg.f64 (*.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #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 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(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))
(neg.f64 (*.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 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)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x z) (*.f64 z y)))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 (neg.f64 z) (+.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x z) (*.f64 z y)))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 (neg.f64 z) (+.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x z) (*.f64 z y)))
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 (neg.f64 z) (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
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(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(neg.f64 (/.f64 x y))
(/.f64 x (neg.f64 y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(log.f64 (exp.f64 (/.f64 x y)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y))))
(/.f64 x (neg.f64 y))
(neg.f64 (/.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(log1p.f64 (expm1.f64 (/.f64 x y)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (log.f64 (/.f64 x y)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(log.f64 (pow.f64 (exp.f64 z) y))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(expm1.f64 (log1p.f64 (*.f64 y z)))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(log1p.f64 (expm1.f64 (*.f64 y z)))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(exp.f64 (log.f64 (*.f64 y z)))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(+.f64 #s(literal 0 binary64) y)
y
(-.f64 #s(literal 0 binary64) y)
(neg.f64 y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
y
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
(*.f64 y #s(literal 1 binary64))
y
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal 1 binary64) y)
y
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(neg.f64 y)
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
y
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(neg.f64 y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(neg.f64 y)
(pow.f64 y #s(literal 1 binary64))
y
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
y
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
y
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
y
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
y
(log.f64 (exp.f64 y))
y
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
y
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
y
(log1p.f64 (expm1.f64 y))
y
(exp.f64 (log.f64 y))
y
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
y
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(+.f64 #s(literal 0 binary64) (*.f64 x z))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 x z)
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x z)
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(*.f64 x z)
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(*.f64 x z)
(log.f64 (pow.f64 (exp.f64 z) x))
(*.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(*.f64 x z)
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(*.f64 x z)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x z)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 x z)
(expm1.f64 (log1p.f64 (*.f64 z x)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(+.f64 #s(literal 0 binary64) (*.f64 x z))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(*.f64 x z)
(exp.f64 (log.f64 (*.f64 z x)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(*.f64 x z)

eval35.0ms (0.7%)

Compiler

Compiled 3173 to 836 computations (73.7% saved)

prune54.0ms (1.1%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New2922294
Fresh101
Picked055
Done044
Total29311304
Accuracy
100.0%
Counts
304 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(+.f64 y x)
49.3%
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
45.0%
(*.f64 (+.f64 x y) (neg.f64 z))
23.7%
(*.f64 (neg.f64 z) x)
25.1%
(*.f64 (neg.f64 y) z)
2.7%
(*.f64 z y)
3.4%
(*.f64 z x)
53.3%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
40.4%
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
30.0%
y
27.4%
x
Compiler

Compiled 77 to 54 computations (29.9% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 z x)
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01142
11342
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 z x)
z
x
(*.f64 z y)
z
y
Outputs
(*.f64 z x)
z
x
(*.f64 z y)
z
y

localize20.0ms (0.4%)

Localize:

Found 2 expressions of interest:

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

Compiled 15 to 7 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (85.4% of total)
ival-true: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (*.f64 z x)>
#<alt (*.f64 z y)>
Outputs
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
Calls

12 calls:

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

rewrite70.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
438×unpow-prod-down
423×log1p-expm1-u
423×expm1-log1p-u
404×add-exp-log
389×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
110526
2117626
Stop Event
node limit
Counts
2 → 42
Calls
Call 1
Inputs
(*.f64 z x)
(*.f64 z y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) z) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64))
(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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (E.f64) (log.f64 (*.f64 z x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z x)))) (sqrt.f64 (log.f64 (*.f64 z x))))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(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 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z y)))) (sqrt.f64 (log.f64 (*.f64 z y))))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) z))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z y))) #s(literal 2 binary64)))

simplify91.0ms (1.9%)

Algorithm
egg-herbie
Rules
877×fma-define
715×prod-exp
277×*-commutative
234×exp-sum
232×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01191478
12001478
24641478
319311478
444261478
571251478
Stop Event
node limit
Counts
90 → 53
Calls
Call 1
Inputs
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) z) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64))
(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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (E.f64) (log.f64 (*.f64 z x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z x)))) (sqrt.f64 (log.f64 (*.f64 z x))))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(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 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z y)))) (sqrt.f64 (log.f64 (*.f64 z y))))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) z))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z y))) #s(literal 2 binary64)))
Outputs
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(*.f64 x z)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) z) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 z #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 z #s(literal 2 binary64))) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64))
(*.f64 x z)
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 x z)
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x z)
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(*.f64 x z)
(pow.f64 (E.f64) (log.f64 (*.f64 z x)))
(pow.f64 (E.f64) (log.f64 (*.f64 x z)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x z)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 x z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z x)))) (sqrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x z)))) (sqrt.f64 (log.f64 (*.f64 x z))))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(*.f64 x z)
(log.f64 (pow.f64 (exp.f64 x) z))
(*.f64 x z)
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(*.f64 x z)
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 x z)
(log1p.f64 (expm1.f64 (*.f64 z x)))
(*.f64 x z)
(exp.f64 (log.f64 (*.f64 z x)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(*.f64 x z)
(+.f64 #s(literal 0 binary64) (*.f64 z y))
(*.f64 z y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))
(*.f64 z y)
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 z y)
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(*.f64 z y)
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 z y)
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z y)
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(*.f64 z y)
(pow.f64 (E.f64) (log.f64 (*.f64 z y)))
(*.f64 z y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z y)))) (sqrt.f64 (log.f64 (*.f64 z y))))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(*.f64 z y)
(log.f64 (pow.f64 (exp.f64 y) z))
(*.f64 z y)
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(*.f64 z y)
(expm1.f64 (log1p.f64 (*.f64 z y)))
(*.f64 z y)
(log1p.f64 (expm1.f64 (*.f64 z y)))
(*.f64 z y)
(exp.f64 (log.f64 (*.f64 z y)))
(*.f64 z y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z y))) #s(literal 3 binary64)))
(*.f64 z y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z y))) #s(literal 1/3 binary64)))
(*.f64 z y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z y))) #s(literal 2 binary64)))
(*.f64 z y)

eval6.0ms (0.1%)

Compiler

Compiled 425 to 139 computations (67.3% saved)

prune13.0ms (0.3%)

Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New53053
Fresh000
Picked022
Done099
Total531164
Accuracy
100.0%
Counts
64 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(+.f64 y x)
49.3%
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
45.0%
(*.f64 (+.f64 x y) (neg.f64 z))
23.7%
(*.f64 (neg.f64 z) x)
25.1%
(*.f64 (neg.f64 y) z)
2.7%
(*.f64 z y)
3.4%
(*.f64 z x)
53.3%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
40.4%
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
30.0%
y
27.4%
x
Compiler

Compiled 147 to 80 computations (45.6% saved)

regimes41.0ms (0.8%)

Counts
14 → 1
Calls
Call 1
Inputs
x
y
(*.f64 z x)
(*.f64 z y)
(+.f64 y x)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+.f64 y (*.f64 z y))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Calls

6 calls:

15.0ms
(-.f64 #s(literal 1 binary64) z)
5.0ms
z
5.0ms
(+.f64 x y)
5.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
5.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
100.0%1(+.f64 x y)
100.0%1(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes22.0ms (0.4%)

Counts
11 → 2
Calls
Call 1
Inputs
x
y
(*.f64 z x)
(*.f64 z y)
(+.f64 y x)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+.f64 y (*.f64 z y))
(*.f64 (+.f64 x y) (neg.f64 z))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
Calls

5 calls:

5.0ms
z
4.0ms
y
4.0ms
x
4.0ms
(+.f64 x y)
3.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
80.1%2x
83.6%2y
97.0%3z
98.0%2(+.f64 x y)
97.0%3(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 24 to 18 computations (25% saved)

regimes14.0ms (0.3%)

Counts
8 → 5
Calls
Call 1
Inputs
x
y
(*.f64 z x)
(*.f64 z y)
(+.f64 y x)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
(+.f64 y x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 z) x)
Calls

4 calls:

4.0ms
z
3.0ms
x
3.0ms
y
3.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
69.0%2x
69.8%2y
84.3%5(-.f64 #s(literal 1 binary64) z)
84.3%5z
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes68.0ms (1.4%)

Counts
7 → 5
Calls
Call 1
Inputs
x
y
(*.f64 z x)
(*.f64 z y)
(+.f64 y x)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
Outputs
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
(+.f64 y x)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
Calls

1 calls:

68.0ms
z
Results
AccuracySegmentsBranch
83.7%5z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0.1%)

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

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
77.3%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.2%)

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

3 calls:

7.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
55.9%1x
55.9%1y
55.9%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
x
y
(*.f64 z x)
(*.f64 z y)
Outputs
x
y
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
30.0%1z
45.6%2y
45.2%2x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

4.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
27.4%1z
27.4%1x
27.4%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.3434524335395385e-247
3.5338463073835903e-268
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch76.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
50.0ms
6.495063740519322e+161
1.638450880208726e+186
12.0ms
5.032897604690235e-9
0.00040022713668897553
0.0ms
-303217.7237382873
-293702.36408520717
10.0ms
-3.1276623239971716e+121
-1.2829387751261537e+117
Results
58.0ms448×0valid
Compiler

Compiled 476 to 360 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-add: 40.0ms (86.2% of total)
ival-mult: 3.0ms (6.5% of total)
ival-sub: 2.0ms (4.3% of total)
ival-true: 1.0ms (2.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch42.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
6.495063740519322e+161
1.638450880208726e+186
11.0ms
0.0008678185322959025
6.677683361713486
0.0ms
-303217.7237382873
-293702.36408520717
11.0ms
-3.1276623239971716e+121
-1.2829387751261537e+117
Results
22.0ms432×0valid
Compiler

Compiled 441 to 329 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 3.0ms (32.3% of total)
ival-mult: 3.0ms (32.3% of total)
ival-sub: 2.0ms (21.5% of total)
ival-true: 1.0ms (10.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.0008678185322959025
6.677683361713486
10.0ms
-11029.10028291444
-0.24758110359613392
Results
12.0ms256×0valid
Compiler

Compiled 257 to 189 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (36.2% of total)
ival-mult: 2.0ms (36.2% of total)
ival-sub: 1.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
1.55539641397252e-128
3.4430478698593428e-124
Results
6.0ms128×0valid
Compiler

Compiled 97 to 77 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (35.6% of total)
ival-add: 1.0ms (35.6% of total)
ival-mult: 1.0ms (35.6% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
055445
182445
298445
3110445
4114445
5115445
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -3148880786512287/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 z #s(literal -150000000000000000584111839593616914142228427844062122722930042350055118034096870361785409127756378572620400511732940800 binary64)) (*.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal -300000 binary64)) (*.f64 (neg.f64 z) x) (if (<=.f64 z #s(literal 4073041091475069/590295810358705651712 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 2000000000000000014897961004148639782883989877166307744719285082625279704935632320527439752747814116816931205205569292567450867665619546366181138482232477674193077794720878428160 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 z) x)))))
(if (<=.f64 z #s(literal -9500000000000000410284540203896439655248180524864647459393152221278413292157651950211721108118061539745540911010938880 binary64)) (*.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal -300000 binary64)) (*.f64 (neg.f64 z) x) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 104999999999999998921267926997898560112690709440242490226450292851480670657516514628969468579740626803766033680988594369320572941999352591811666873294015856401631865208832 binary64)) (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 z) x)))))
(if (<=.f64 z #s(literal -28 binary64)) (*.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (*.f64 (neg.f64 y) z)))
(+.f64 y x)
(if (<=.f64 y #s(literal 506112340501517/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) x y)
x
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -3148880786512287/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
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(if (or (<=.f64 z #s(literal -28 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) (*.f64 z (neg.f64 y)) (+.f64 x y))
(if (or (<=.f64 z #s(literal -28 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) (*.f64 y (neg.f64 z)) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 y #s(literal 506112340501517/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) x y)
x

soundness490.0ms (10.1%)

Rules
517×associate-*l*
482×associate-*r*
428×distribute-lft-in
425×distribute-rgt-in
408×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04056912
19706714
232826624
063714895
1162614193
2684114193
Stop Event
done
node limit
node limit
Compiler

Compiled 174 to 74 computations (57.5% saved)

preprocess54.0ms (1.1%)

Remove

(sort x y)

Compiler

Compiled 346 to 158 computations (54.3% saved)

end0.0ms (0%)

Profiling

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