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

Time bar (total: 5.1s)

analyze0.0ms (0%)

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

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
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)

sample937.0ms (18.5%)

Results
699.0ms8255×0valid
0.0ms1×2valid
Precisions
Click to see histograms. Total time spent on operations: 225.0ms
ival-add: 139.0ms (61.7% of total)
ival-mult: 71.0ms (31.5% of total)
const: 11.0ms (4.9% of total)
backward-pass: 3.0ms (1.3% of total)
Bogosity

preprocess248.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
2564×fma-neg
818×unsub-neg
747×fma-define
332×distribute-lft-in
320×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034328
1120312
2449308
31443308
43917308
55374308
66275308
76394308
86404308
96409308
106484308
116520308
126520308
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 (neg.f64 x) y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 x (neg.f64 y)) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 x y) (+.f64 (neg.f64 z) #s(literal 1 binary64)))
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) (+.f64 z #s(literal 1 binary64))))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) (+.f64 z #s(literal 1 binary64))))
(neg.f64 (*.f64 (+.f64 x y) (+.f64 (neg.f64 z) #s(literal 1 binary64))))
(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 z y) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x z) (+.f64 y #s(literal 1 binary64)))
Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 (neg.f64 x) y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y (neg.f64 x)))
(*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 y x))
(*.f64 (+.f64 x (neg.f64 y)) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 x y))
(*.f64 (+.f64 x y) (+.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.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 z #s(literal 1 binary64))))
(*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 x y))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) (+.f64 z #s(literal 1 binary64))))
(*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y (neg.f64 x)))
(*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 y x))
(neg.f64 (*.f64 (+.f64 x y) (+.f64 (neg.f64 z) #s(literal 1 binary64))))
(*.f64 (neg.f64 (+.f64 x y)) (+.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (+.f64 x y)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal -1 binary64)))
(*.f64 (+.f64 y x) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 z y) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 y z) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x z) (+.f64 y #s(literal 1 binary64)))
Symmetry

(sort x y)

explain85.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-z
00-0-(+.f64 x y)
00-0-#s(literal 1 binary64)
00-0-y
00-0-(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
00-0-(+.f64 z #s(literal 1 binary64))
Results
64.0ms512×0valid
Compiler

Compiled 52 to 29 computations (44.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 9.0ms (65.8% of total)
ival-mult: 4.0ms (29.3% of total)
const: 1.0ms (7.3% 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 z #s(literal 1 binary64)))
Compiler

Compiled 10 to 7 computations (30% saved)

localize136.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 z #s(literal 1 binary64))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 z #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Rules
186×fma-define
33×distribute-rgt-in
33×distribute-lft-in
26×associate-+r+
22×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01364
12864
26164
313264
426264
541064
643264
743464
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
x
y
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
x
y
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
Results
113.0ms256×0valid
Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 5.0ms (64.2% of total)
ival-mult: 2.0ms (25.7% of total)
const: 1.0ms (12.8% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.2%)

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

18 calls:

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

rewrite259.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
815×log1p-expm1-u
815×expm1-log1p-u
676×prod-diff
360×log-prod
321×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01351
115751
2222051
Stop Event
1×node limit
Counts
3 → 161
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 z #s(literal 1 binary64))
Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))))
(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
(+.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) x) (*.f64 (+.f64 z #s(literal 1 binary64)) y))
(+.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) y) (*.f64 (+.f64 z #s(literal 1 binary64)) x))
(+.f64 (*.f64 (*.f64 (+.f64 x y) z) #s(literal 1 binary64)) (+.f64 x y))
(+.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 y (+.f64 z #s(literal 1 binary64))))
(+.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64))))
(+.f64 (fma.f64 (+.f64 x y) z x) y)
(+.f64 (fma.f64 (+.f64 x y) z y) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))))) #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 z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 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 3 binary64)))) (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (-.f64 x y) (+.f64 z #s(literal -1 binary64))))
(/.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 z (-.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 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (-.f64 x y)))
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 z #s(literal -1 binary64)) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (+.f64 z #s(literal -1 binary64)) (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x y) z) (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (fma.f64 (+.f64 x y) z (neg.f64 (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (+.f64 x y) (fma.f64 z z #s(literal -1 binary64))) (+.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.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 z #s(literal 1 binary64)) (-.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 z #s(literal 1 binary64))) (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 z #s(literal 1 binary64))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 x y)) (+.f64 z #s(literal -1 binary64)))
(pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))))))
(log.f64 (*.f64 (exp.f64 (+.f64 x y)) (exp.f64 (*.f64 (+.f64 x y) z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (exp.f64 (*.f64 (+.f64 x y) z))))
(log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 x y) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 x y))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 z #s(literal 1 binary64)) (*.f64 y (+.f64 z #s(literal 1 binary64))))
(fma.f64 y (+.f64 z #s(literal 1 binary64)) (*.f64 x (+.f64 z #s(literal 1 binary64))))
(fma.f64 (+.f64 x y) z (+.f64 x y))
(fma.f64 (+.f64 x y) #s(literal 1 binary64) (*.f64 (+.f64 x y) z))
(fma.f64 z (+.f64 x y) (+.f64 x y))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (*.f64 (+.f64 x y) z))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) z) (+.f64 x y))
(fma.f64 (+.f64 z #s(literal 1 binary64)) x (*.f64 (+.f64 z #s(literal 1 binary64)) y))
(fma.f64 (+.f64 z #s(literal 1 binary64)) y (*.f64 (+.f64 z #s(literal 1 binary64)) x))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) z))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) z))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) z))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) z) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (+.f64 x y)) (+.f64 x y))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) z))
(fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) z))
(fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) z) (+.f64 x y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 x y)) (+.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) 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 (+.f64 x y) z))
(fma.f64 (*.f64 (+.f64 x y) z) #s(literal 1 binary64) (+.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) (cbrt.f64 (*.f64 (+.f64 x y) z))) (cbrt.f64 (*.f64 (+.f64 x y) z)) (+.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)) (+.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x y))) (+.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) (+.f64 x y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)) (+.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (+.f64 x y))
(fma.f64 (*.f64 (+.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (+.f64 x y))
(fma.f64 (*.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.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 #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)) (*.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) #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 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))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (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))) #s(literal 1 binary64)) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(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)))
(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 (exp.f64 (log1p.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 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 z (-.f64 #s(literal 1 binary64) z))))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z 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) (-.f64 (pow.f64 z #s(literal 2 binary64)) z)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (neg.f64 (+.f64 z #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) z))
(pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 z #s(literal 1 binary64))))
(exp.f64 (log1p.f64 z))
(fma.f64 z #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) z #s(literal 1 binary64))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))

simplify109.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
934×times-frac
244×distribute-rgt-in
237×distribute-lft-in
231×cancel-sign-sub-inv
231×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04037261
110407133
238816874
Stop Event
1×node limit
Counts
227 → 245
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 #s(literal 1 binary64) (+.f64 z (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) x))))
(*.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 #s(literal 1 binary64) (+.f64 z (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 z (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 z (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) 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 #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 z (+.f64 x y))))
(+.f64 x (+.f64 y (*.f64 z (+.f64 x y))))
(+.f64 x (+.f64 y (*.f64 z (+.f64 x y))))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x (+.f64 y (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (+.f64 x (+.f64 y (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (+.f64 x (+.f64 y (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) 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))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
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))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) z)
(+.f64 #s(literal 1 binary64) z)
(+.f64 #s(literal 1 binary64) z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))))
(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
(+.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) x) (*.f64 (+.f64 z #s(literal 1 binary64)) y))
(+.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) y) (*.f64 (+.f64 z #s(literal 1 binary64)) x))
(+.f64 (*.f64 (*.f64 (+.f64 x y) z) #s(literal 1 binary64)) (+.f64 x y))
(+.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 y (+.f64 z #s(literal 1 binary64))))
(+.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64))))
(+.f64 (fma.f64 (+.f64 x y) z x) y)
(+.f64 (fma.f64 (+.f64 x y) z y) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))))) #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 z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 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 3 binary64)))) (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (-.f64 x y) (+.f64 z #s(literal -1 binary64))))
(/.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 z (-.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 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (-.f64 x y)))
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 z #s(literal -1 binary64)) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (+.f64 z #s(literal -1 binary64)) (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x y) z) (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (fma.f64 (+.f64 x y) z (neg.f64 (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (+.f64 x y) (fma.f64 z z #s(literal -1 binary64))) (+.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.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 z #s(literal 1 binary64)) (-.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 z #s(literal 1 binary64))) (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 z #s(literal 1 binary64))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 x y)) (+.f64 z #s(literal -1 binary64)))
(pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))) (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))))))
(log.f64 (*.f64 (exp.f64 (+.f64 x y)) (exp.f64 (*.f64 (+.f64 x y) z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (exp.f64 (*.f64 (+.f64 x y) z))))
(log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 x y) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 x y))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 z #s(literal 1 binary64)) (*.f64 y (+.f64 z #s(literal 1 binary64))))
(fma.f64 y (+.f64 z #s(literal 1 binary64)) (*.f64 x (+.f64 z #s(literal 1 binary64))))
(fma.f64 (+.f64 x y) z (+.f64 x y))
(fma.f64 (+.f64 x y) #s(literal 1 binary64) (*.f64 (+.f64 x y) z))
(fma.f64 z (+.f64 x y) (+.f64 x y))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (*.f64 (+.f64 x y) z))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) z) (+.f64 x y))
(fma.f64 (+.f64 z #s(literal 1 binary64)) x (*.f64 (+.f64 z #s(literal 1 binary64)) y))
(fma.f64 (+.f64 z #s(literal 1 binary64)) y (*.f64 (+.f64 z #s(literal 1 binary64)) x))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) z))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) z))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) z))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) z) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (+.f64 x y)) (+.f64 x y))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) z))
(fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) z))
(fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) z) (+.f64 x y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 x y)) (+.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) 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 (+.f64 x y) z))
(fma.f64 (*.f64 (+.f64 x y) z) #s(literal 1 binary64) (+.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) (cbrt.f64 (*.f64 (+.f64 x y) z))) (cbrt.f64 (*.f64 (+.f64 x y) z)) (+.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)) (+.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x y))) (+.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) (+.f64 x y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)) (+.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (+.f64 x y))
(fma.f64 (*.f64 (+.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (+.f64 x y))
(fma.f64 (*.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.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 #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)) (*.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) #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 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))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (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))) #s(literal 1 binary64)) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(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)))
(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 (exp.f64 (log1p.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 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 z (-.f64 #s(literal 1 binary64) z))))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z 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) (-.f64 (pow.f64 z #s(literal 2 binary64)) z)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (neg.f64 (+.f64 z #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) z))
(pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 z #s(literal 1 binary64))))
(exp.f64 (log1p.f64 z))
(fma.f64 z #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) z #s(literal 1 binary64))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 #s(literal 1 binary64) z)))
(*.f64 (+.f64 y 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 y 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 y x) (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 z x x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) z)) x))))
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(-.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 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 x y) #s(literal 1 binary64))
(+.f64 y x)
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(+.f64 y x)
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(+.f64 y x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(+.f64 y x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 y x)
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(+.f64 y x)
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)))
(+.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 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.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))) (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 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.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 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.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 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 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))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #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 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #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 (-.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))
(+.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)
(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)))
(expm1.f64 (log1p.f64 (+.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)
(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 (exp.f64 (log1p.f64 (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) z))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) z)
(*.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) z)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) z)
(*.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64))))
(+.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 z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (+.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 z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z 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 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) (-.f64 (pow.f64 z #s(literal 2 binary64)) z)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 z #s(literal -1 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 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 z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (neg.f64 (+.f64 z #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 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 (pow.f64 z #s(literal 2 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))
(pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
(pow.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) z)
(pow.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) z)
(pow.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) z)
(sqrt.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) z)
(log.f64 (exp.f64 (+.f64 z #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) z)
(cbrt.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) z)
(expm1.f64 (log1p.f64 (+.f64 z #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) z))
(log1p.f64 (expm1.f64 (+.f64 z #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) z)
(exp.f64 (log1p.f64 z))
(+.f64 #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) #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 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
(fma.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 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)

eval47.0ms (0.9%)

Compiler

Compiled 3465 to 1791 computations (48.3% saved)

prune50.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2387245
Fresh000
Picked011
Done000
Total2388246
Accuracy
100.0%
Counts
246 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(fma.f64 y z y)
▶100.0%
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
97.2%
(+.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) y) (*.f64 (+.f64 z #s(literal 1 binary64)) x))
▶50.3%
(+.f64 y x)
✓100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
▶51.8%
(*.f64 (+.f64 x y) z)
▶51.8%
(*.f64 y (+.f64 z #s(literal 1 binary64)))
▶51.9%
(*.f64 x (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 136 to 89 computations (34.6% saved)

localize136.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y x)
✓cost-diff0
(*.f64 (+.f64 x y) z)
cost-diff0
(+.f64 x y)
✓cost-diff128
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
✓accuracy100.0%
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
✓accuracy100.0%
(*.f64 x (+.f64 z #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 (+.f64 x y) z)
✓accuracy100.0%
(*.f64 y (+.f64 z #s(literal 1 binary64)))
Rules
184×fma-define
32×distribute-rgt-in
23×associate-+r+
17×associate-+l+
14×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017231
142217
273217
3144217
4296217
5362217
6375217
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(+.f64 x y)
x
y
(*.f64 (+.f64 x y) z)
z
(+.f64 y x)
y
x
(*.f64 x (+.f64 z #s(literal 1 binary64)))
x
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(*.f64 y (+.f64 z #s(literal 1 binary64)))
y
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(*.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(+.f64 x (+.f64 y (*.f64 (+.f64 x y) z)))
(*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
x
y
(*.f64 (+.f64 x y) z)
z
(+.f64 y x)
(+.f64 x y)
y
x
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 x z x)
x
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
y
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(*.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
Results
92.0ms256×0valid
Compiler

Compiled 62 to 20 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-add: 55.0ms (85.8% of total)
ival-mult: 8.0ms (12.5% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.3%)

Counts
5 → 144
Calls
Call 1
Inputs
#<alt (*.f64 y (+.f64 z #s(literal 1 binary64)))>
#<alt (*.f64 (+.f64 x y) z)>
#<alt (*.f64 x (+.f64 z #s(literal 1 binary64)))>
#<alt (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))>
#<alt (+.f64 y x)>
Outputs
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt y>
#<alt (+.f64 y (*.f64 y z))>
#<alt (+.f64 y (*.f64 y z))>
#<alt (+.f64 y (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 y z)))>
#<alt (*.f64 z (+.f64 y (/.f64 y z)))>
#<alt (*.f64 z (+.f64 y (/.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 x z)>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.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 (+.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 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.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 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<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 x>
#<alt (+.f64 x (*.f64 x z))>
#<alt (+.f64 x (*.f64 x z))>
#<alt (+.f64 x (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (/.f64 x z)))>
#<alt (*.f64 z (+.f64 x (/.f64 x z)))>
#<alt (*.f64 z (+.f64 x (/.f64 x z)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 y (*.f64 y z))>
#<alt (+.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 y z)))>
#<alt (+.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 y z)))>
#<alt (+.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 y x) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 y x) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 y x) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 y z)) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 y z)) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 y z)) x))) #s(literal 1 binary64))))>
#<alt (+.f64 x (*.f64 x z))>
#<alt (+.f64 x (+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) z))))>
#<alt (+.f64 x (+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) z))))>
#<alt (+.f64 x (+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 x y) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 x y) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 x y) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x z)) y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x z)) y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x z)) y))) #s(literal 1 binary64))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (*.f64 z (+.f64 x y))))>
#<alt (+.f64 x (+.f64 y (*.f64 z (+.f64 x y))))>
#<alt (+.f64 x (+.f64 y (*.f64 z (+.f64 x y))))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x (+.f64 y (+.f64 (/.f64 x z) (/.f64 y z)))))>
#<alt (*.f64 z (+.f64 x (+.f64 y (+.f64 (/.f64 x z) (/.f64 y z)))))>
#<alt (*.f64 z (+.f64 x (+.f64 y (+.f64 (/.f64 x z) (/.f64 y z)))))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)))))>
#<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))))>
Calls

36 calls:

TimeVariablePointExpression
4.0ms
z
@0
(* (+ x y) z)
1.0ms
z
@0
(* y (+ z 1))
1.0ms
z
@inf
(+ (+ x y) (* (+ x y) z))
0.0ms
y
@0
(* y (+ z 1))
0.0ms
z
@inf
(* (+ x y) z)

rewrite151.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
855×log1p-expm1-u
855×expm1-log1p-u
811×fma-define
375×fma-neg
121×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017113
126299
2391299
Stop Event
1×node limit
Counts
5 → 278
Calls
Call 1
Inputs
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 x y) z)
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(+.f64 y x)
Outputs
(+.f64 y (*.f64 y z))
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z y))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y z) y))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 y z) y))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) z))
(/.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (+.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) y) (-.f64 (fma.f64 z z #s(literal 1 binary64)) z))
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) y) (+.f64 z #s(literal -1 binary64)))
(pow.f64 (fma.f64 y z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z y))))
(cbrt.f64 (pow.f64 (fma.f64 y z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(log1p.f64 (expm1.f64 (fma.f64 y z y)))
(exp.f64 (+.f64 (log1p.f64 z) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y z y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y z))
(fma.f64 z y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) y)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) y)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) y)
(fma.f64 (*.f64 y z) #s(literal 1 binary64) y)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) y)
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) y)
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) y)
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) y)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) y)
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) y)
(+.f64 (*.f64 z x) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y x)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 z x))
(fma.f64 z y (*.f64 z x))
(fma.f64 z x (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 z x))
(fma.f64 x z (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 y z))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #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 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.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))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 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 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 x #s(literal 1 binary64) 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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) y)

simplify223.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
406×cancel-sign-sub-inv
405×fma-neg
316×associate-+r+
305×distribute-lft-neg-in
280×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060913739
1147212378
2422612044
Stop Event
1×node limit
Counts
422 → 376
Calls
Call 1
Inputs
(*.f64 y (+.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 #s(literal 1 binary64) z))
(*.f64 y (+.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 #s(literal 1 binary64) z))
(*.f64 y (+.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 #s(literal 1 binary64) z))
y
(+.f64 y (*.f64 y z))
(+.f64 y (*.f64 y z))
(+.f64 y (*.f64 y z))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.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 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
x
(+.f64 x (*.f64 x z))
(+.f64 x (*.f64 x z))
(+.f64 x (*.f64 x z))
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 x z)))
(*.f64 z (+.f64 x (/.f64 x z)))
(*.f64 z (+.f64 x (/.f64 x z)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 y (*.f64 y z))
(+.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 y z)))
(+.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 y z)))
(+.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 y x) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 y x) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 y x) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 y z)) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 y z)) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 y z)) x))) #s(literal 1 binary64))))
(+.f64 x (*.f64 x z))
(+.f64 x (+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) z))))
(+.f64 x (+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) z))))
(+.f64 x (+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) z))))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 x y) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 x y) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 x y) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x z)) y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x z)) y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x z)) y))) #s(literal 1 binary64))))
(+.f64 x y)
(+.f64 x (+.f64 y (*.f64 z (+.f64 x y))))
(+.f64 x (+.f64 y (*.f64 z (+.f64 x y))))
(+.f64 x (+.f64 y (*.f64 z (+.f64 x y))))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x (+.f64 y (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (+.f64 x (+.f64 y (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (+.f64 x (+.f64 y (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)))))
x
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
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))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
y
(+.f64 x y)
(+.f64 x y)
(+.f64 x 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))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(+.f64 y (*.f64 y z))
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z y))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y z) y))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 y z) y))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) z))
(/.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (+.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) y) (-.f64 (fma.f64 z z #s(literal 1 binary64)) z))
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) y) (+.f64 z #s(literal -1 binary64)))
(pow.f64 (fma.f64 y z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z y))))
(cbrt.f64 (pow.f64 (fma.f64 y z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(log1p.f64 (expm1.f64 (fma.f64 y z y)))
(exp.f64 (+.f64 (log1p.f64 z) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y z y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y z))
(fma.f64 z y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) y)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) y)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) y)
(fma.f64 (*.f64 y z) #s(literal 1 binary64) y)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) y)
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) y)
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) y)
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) y)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) y)
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) y)
(+.f64 (*.f64 z x) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
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(fma.f64 (*.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) y)) (cbrt.f64 (fma.f64 z (+.f64 y x) y))) (cbrt.f64 (fma.f64 z (+.f64 y x) y)) x)
(fma.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) y)) (sqrt.f64 (fma.f64 z (+.f64 y x) y)) x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y x)) (+.f64 y x))
(fma.f64 (*.f64 z (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)) (+.f64 y x))
(fma.f64 (*.f64 (+.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (+.f64 y x))
(fma.f64 (*.f64 (+.f64 y x) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.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 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.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 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #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 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.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))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 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 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 x #s(literal 1 binary64) 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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) y)
Outputs
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
y
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x z)
(*.f64 z x)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 z x x)
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 z x x)
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 z x x)
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 z x x)
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 z x x)
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 z x x)
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 z x x)
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 z x x)
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 z x x)
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 z x x)
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 z x x)
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 z x x)
x
(+.f64 x (*.f64 x z))
(fma.f64 z x x)
(+.f64 x (*.f64 x z))
(fma.f64 z x x)
(+.f64 x (*.f64 x z))
(fma.f64 z x x)
(*.f64 x z)
(*.f64 z x)
(*.f64 z (+.f64 x (/.f64 x z)))
(*.f64 z (+.f64 x (/.f64 x z)))
(*.f64 z (+.f64 x (/.f64 x z)))
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 x (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 x (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 x (/.f64 x z)))
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(+.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 y z)))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 y z)))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 y z)))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 z x x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 y x) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 z (/.f64 y x)) (*.f64 y (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 y (/.f64 z x) (/.f64 y x)))))
(*.f64 x (+.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 y x) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 z (/.f64 y x)) (*.f64 y (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 y (/.f64 z x) (/.f64 y x)))))
(*.f64 x (+.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 y x) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 z (/.f64 y x)) (*.f64 y (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 y (/.f64 z x) (/.f64 y x)))))
(*.f64 x (+.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))
(fma.f64 z x x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 y z)) x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (fma.f64 y z y) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (fma.f64 y z y) x)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (fma.f64 y z y) x))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 y z)) x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (fma.f64 y z y) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (fma.f64 y z y) x)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (fma.f64 y z y) x))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 y z)) x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (fma.f64 y z y) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (fma.f64 y z y) x)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (fma.f64 y z y) x))) (neg.f64 x))
(+.f64 x (*.f64 x z))
(fma.f64 z x x)
(+.f64 x (+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) z))))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 x (+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) z))))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 x (+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) z))))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
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(fma.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))) (+.f64 y x))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 x (*.f64 z (+.f64 y x))))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (+.f64 x (*.f64 z (+.f64 y x))))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 y x)) (+.f64 y x))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 z (+.f64 y x) y))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 z (+.f64 y x) y) #s(literal 1 binary64)))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 z (+.f64 y x) y))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 z (+.f64 y x) y) #s(literal 1 binary64)))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))) (*.f64 z (+.f64 y x)))
(+.f64 (*.f64 z (+.f64 y x)) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 z (+.f64 y x)))
(+.f64 (*.f64 z (+.f64 y x)) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 z (+.f64 y x)))
(+.f64 (*.f64 z (+.f64 y x)) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x)))
(-.f64 (*.f64 z (+.f64 y x)) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.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 z (+.f64 y x)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 z (+.f64 y x)))
(+.f64 (*.f64 z (+.f64 y x)) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x)))
(-.f64 (*.f64 z (+.f64 y x)) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 x y)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) y)) (cbrt.f64 (fma.f64 z (+.f64 y x) y))) (cbrt.f64 (fma.f64 z (+.f64 y x) y)) x)
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(fma.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) y)) (sqrt.f64 (fma.f64 z (+.f64 y x) y)) x)
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y x)) (+.f64 y x))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(fma.f64 (*.f64 z (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)) (+.f64 y x))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(fma.f64 (*.f64 (+.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (+.f64 y x))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(fma.f64 (*.f64 (+.f64 y x) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 y x))
(+.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(+.f64 #s(literal 0 binary64) (+.f64 y x))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(/.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)) (-.f64 x y)) (/.f64 (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 #s(literal 1 binary64) (+.f64 y x))
(+.f64 y x)
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(+.f64 y x)
(*.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(+.f64 y x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y x)))
(+.f64 y x)
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)))
(+.f64 y x)
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (-.f64 (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 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #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 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.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 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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 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))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.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 y x) #s(literal 1 binary64))
(+.f64 y x)
(pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64))
(+.f64 y x)
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64))
(+.f64 y x)
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y x)
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(+.f64 y x)
(log.f64 (exp.f64 (+.f64 y x)))
(+.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y x))))
(+.f64 y x)
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(+.f64 y x)
(expm1.f64 (log1p.f64 (+.f64 y x)))
(+.f64 #s(literal 0 binary64) (+.f64 y x))
(log1p.f64 (expm1.f64 (+.f64 y x)))
(+.f64 y x)
(exp.f64 (log.f64 (+.f64 y x)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 y x)
(fma.f64 x #s(literal 1 binary64) 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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) 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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) y)
(+.f64 y x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 y x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) x)
(+.f64 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 y x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) y)
(+.f64 y x)

eval187.0ms (3.7%)

Compiler

Compiled 8084 to 3065 computations (62.1% saved)

prune166.0ms (3.3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New6317638
Fresh202
Picked235
Done011
Total63511646
Accuracy
100.0%
Counts
646 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(+.f64 (*.f64 z x) (*.f64 y z))
▶51.8%
(+.f64 (*.f64 y z) y)
✓50.3%
(+.f64 y x)
✓100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
✓51.8%
(*.f64 (+.f64 x y) z)
▶27.4%
(*.f64 z x)
▶29.0%
(*.f64 y z)
42.7%
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
✓51.9%
(*.f64 x (+.f64 z #s(literal 1 binary64)))
▶24.7%
y
▶27.3%
x
Compiler

Compiled 132 to 86 computations (34.8% saved)

localize56.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 (*.f64 y z) y)
✓cost-diff0
(*.f64 z x)
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(*.f64 y z)
✓accuracy100.0%
(*.f64 z x)
✓accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(+.f64 (*.f64 y z) y)
Rules
14×fma-define
6×associate-*r*
6×associate-*l*
4×*-rgt-identity
4×*-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01289
11789
22189
32989
43589
54189
65489
75889
86689
96689
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 y z) y)
(*.f64 y z)
y
z
x
y
(*.f64 y z)
y
z
(*.f64 z x)
z
x
Outputs
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(*.f64 y z)
y
z
x
y
(*.f64 y z)
y
z
(*.f64 z x)
z
x
Results
37.0ms256×0valid
Compiler

Compiled 26 to 7 computations (73.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (67.9% of total)
ival-add: 1.0ms (17% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
3 → 48
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 y z) y)>
#<alt (*.f64 y z)>
#<alt (*.f64 z x)>
Outputs
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 y z))>
#<alt (+.f64 y (*.f64 y z))>
#<alt (+.f64 y (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 y z)))>
#<alt (*.f64 z (+.f64 y (/.f64 y z)))>
#<alt (*.f64 z (+.f64 y (/.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y 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 x z)>
Calls

18 calls:

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

rewrite97.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
791×prod-diff
652×log1p-expm1-u
652×expm1-log1p-u
637×unpow-prod-down
351×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
113844
2180144
Stop Event
1×node limit
Counts
3 → 121
Calls
Call 1
Inputs
(+.f64 (*.f64 y z) y)
(*.f64 y z)
(*.f64 z x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (-.f64 z #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (-.f64 z #s(literal 1 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 y z y) #s(literal 1 binary64))
(*.f64 (fma.f64 y z y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y z y))
(*.f64 (cbrt.f64 (fma.f64 y z y)) (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y z y)) (pow.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y z y)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z y))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y z y)) (sqrt.f64 (fma.f64 y z y)))
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 z #s(literal 1 binary64)) y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y z y))
(*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z y))) (cbrt.f64 (cbrt.f64 (fma.f64 y z y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 y z y)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y z y) (sqrt.f64 (fma.f64 y z y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 y z y) (sqrt.f64 (fma.f64 y z y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y z y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y z y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y z y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y z y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 z #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (-.f64 z #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 z #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 y (*.f64 y z)))
(pow.f64 (fma.f64 y z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (-.f64 z #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 z) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 y z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(log1p.f64 (expm1.f64 (fma.f64 y z y)))
(exp.f64 (+.f64 (log.f64 y) (log1p.f64 z)))
(exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y z y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 y) (log1p.f64 z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y z y))) #s(literal 2 binary64)))
(fma.f64 y z y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y z))
(fma.f64 z y y)
(fma.f64 (*.f64 y z) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) y)
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) y)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) y)
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) y)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) y)
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) y)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) y)
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) (cbrt.f64 (pow.f64 (exp.f64 z) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 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)))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x)) (cbrt.f64 (pow.f64 (exp.f64 z) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.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))
(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)))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))

simplify179.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
887×prod-exp
564×fma-define
483×times-frac
280×distribute-lft-in
260×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03034239
16284124
216433953
370533926
Stop Event
1×node limit
Counts
169 → 149
Calls
Call 1
Inputs
(*.f64 y (+.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 #s(literal 1 binary64) z))
(*.f64 y (+.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 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 y z))
(+.f64 y (*.f64 y z))
(+.f64 y (*.f64 y z))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y 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 x z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (-.f64 z #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (-.f64 z #s(literal 1 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 y z y) #s(literal 1 binary64))
(*.f64 (fma.f64 y z y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y z y))
(*.f64 (cbrt.f64 (fma.f64 y z y)) (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y z y)) (pow.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y z y)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z y))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y z y)) (sqrt.f64 (fma.f64 y z y)))
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 z #s(literal 1 binary64)) y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y z y))
(*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z y))) (cbrt.f64 (cbrt.f64 (fma.f64 y z y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 y z y)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y z y) (sqrt.f64 (fma.f64 y z y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 y z y) (sqrt.f64 (fma.f64 y z y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y z y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y z y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y z y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y z y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 z #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (-.f64 z #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 z #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 y (*.f64 y z)))
(pow.f64 (fma.f64 y z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (-.f64 z #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 z) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 y z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(log1p.f64 (expm1.f64 (fma.f64 y z y)))
(exp.f64 (+.f64 (log.f64 y) (log1p.f64 z)))
(exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y z y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 y) (log1p.f64 z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y z y))) #s(literal 2 binary64)))
(fma.f64 y z y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y z))
(fma.f64 z y y)
(fma.f64 (*.f64 y z) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) y)
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) y)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) y)
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) y)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) y)
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) y)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) y)
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) (cbrt.f64 (pow.f64 (exp.f64 z) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 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)))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x)) (cbrt.f64 (pow.f64 (exp.f64 z) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.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))
(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)))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
Outputs
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 z #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 z #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 z #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 z #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) z)))
y
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z y))) #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (-.f64 z #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (-.f64 z #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 z #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 z (*.f64 y z)) y) (+.f64 z #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 y (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 (fma.f64 y z y) #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 (fma.f64 y z y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 #s(literal 1 binary64) (fma.f64 y z y))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 (cbrt.f64 (fma.f64 y z y)) (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 (cbrt.f64 (fma.f64 y z y)) (pow.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y z y)) (cbrt.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z y))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y z y)) (sqrt.f64 (fma.f64 y z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
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(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y z)
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 y z)
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(log.f64 (pow.f64 (exp.f64 z) y))
(*.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(*.f64 y z)
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(*.f64 y z)
(expm1.f64 (log1p.f64 (*.f64 y z)))
(*.f64 y z)
(log1p.f64 (expm1.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (log.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 y z)
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(*.f64 z x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x)) (cbrt.f64 (pow.f64 (exp.f64 z) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z)) (cbrt.f64 (pow.f64 (exp.f64 x) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(*.f64 z x)
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 z x)
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(*.f64 z x)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z x)
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(*.f64 z x)
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(*.f64 z x)
(log.f64 (pow.f64 (exp.f64 z) x))
(*.f64 z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(*.f64 z x)
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(*.f64 z x)
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)
(log1p.f64 (expm1.f64 (*.f64 z x)))
(*.f64 z x)
(exp.f64 (log.f64 (*.f64 z x)))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(*.f64 z x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z x))) #s(literal 1/3 binary64)))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(*.f64 z x)

eval81.0ms (1.6%)

Compiler

Compiled 1826 to 748 computations (59% saved)

prune39.0ms (0.8%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New1710171
Fresh022
Picked055
Done044
Total17111182
Accuracy
100.0%
Counts
182 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.1%
(+.f64 (*.f64 z x) (*.f64 y z))
✓51.8%
(+.f64 (*.f64 y z) y)
✓50.3%
(+.f64 y x)
✓100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
✓51.8%
(*.f64 (+.f64 x y) z)
✓27.4%
(*.f64 z x)
✓29.0%
(*.f64 y z)
▶42.7%
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
✓51.9%
(*.f64 x (+.f64 z #s(literal 1 binary64)))
✓24.7%
y
✓27.3%
x
Compiler

Compiled 82 to 54 computations (34.1% saved)

localize259.0ms (5.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 z x)
✓cost-diff0
(*.f64 y (/.f64 z x))
✓cost-diff128
(+.f64 (*.f64 z x) (*.f64 y z))
✓cost-diff256
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
accuracy100.0%
(*.f64 y z)
✓accuracy97.5%
(+.f64 (*.f64 z x) (*.f64 y z))
✓accuracy92.8%
(*.f64 y (/.f64 z x))
✓accuracy89.9%
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
Rules
1028×fma-define
787×times-frac
757×associate-/r*
619×cube-prod
580×associate-/l/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
016196
130184
259184
383178
4105156
5129156
6270156
7675156
83011156
93733156
104329156
114779156
124903156
135056156
146767156
156911156
167267156
177875156
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
x
(+.f64 z (*.f64 y (/.f64 z x)))
z
(*.f64 y (/.f64 z x))
y
(/.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y z))
(*.f64 z x)
z
x
(*.f64 y z)
y
Outputs
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(fma.f64 x z (*.f64 y (*.f64 z #s(literal 1 binary64))))
(*.f64 z (+.f64 x y))
x
(+.f64 z (*.f64 y (/.f64 z x)))
(fma.f64 y (/.f64 z x) z)
(fma.f64 z (/.f64 y x) z)
z
(*.f64 y (/.f64 z x))
(*.f64 z (/.f64 y x))
y
(/.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y z))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(fma.f64 x z (*.f64 y (*.f64 z #s(literal 1 binary64))))
(*.f64 z (+.f64 x y))
(*.f64 z x)
(*.f64 x z)
z
x
(*.f64 y z)
(*.f64 z y)
y
Results
67.0ms256×0valid
Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (57.1% of total)
ival-add: 3.0ms (24.5% of total)
ival-div: 2.0ms (16.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.5%)

Counts
4 → 108
Calls
Call 1
Inputs
#<alt (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))>
#<alt (*.f64 y (/.f64 z x))>
#<alt (+.f64 (*.f64 z x) (*.f64 y z))>
#<alt (/.f64 z x)>
Outputs
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 x z)>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.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 (+.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 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.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 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 x z)>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.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 (+.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 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.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 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
Calls

33 calls:

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

rewrite153.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
831×log1p-expm1-u
831×expm1-log1p-u
654×fma-define
306×fma-neg
214×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016102
124093
2362893
Stop Event
1×node limit
Counts
4 → 192
Calls
Call 1
Inputs
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 y (/.f64 z x))
(+.f64 (*.f64 z x) (*.f64 y z))
(/.f64 z x)
Outputs
(+.f64 (*.f64 x z) (*.f64 y (*.f64 (/.f64 z x) x)))
(+.f64 (*.f64 x z) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (*.f64 (/.f64 z x) x)) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) (*.f64 y (*.f64 (/.f64 z x) x))) (*.f64 (*.f64 x z) (*.f64 y (*.f64 (/.f64 z x) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) (*.f64 y (*.f64 (/.f64 z x) x)))) (-.f64 (*.f64 x z) (*.f64 y (*.f64 (/.f64 z x) x))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 z (/.f64 y x)) (-.f64 (*.f64 z (/.f64 y x)) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)))) (-.f64 z (*.f64 z (/.f64 y x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 (*.f64 z (/.f64 y x)) (-.f64 (*.f64 z (/.f64 y x)) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64))) x) (-.f64 z (*.f64 z (/.f64 y x))))
(pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 z (/.f64 y x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 x z (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 z (/.f64 y x)) (*.f64 x z))
(fma.f64 z x (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 z x (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 (/.f64 z x) x) (*.f64 x z))
(fma.f64 (/.f64 z x) (*.f64 y x) (*.f64 x z))
(fma.f64 (*.f64 z (/.f64 y x)) x (*.f64 x z))
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (/.f64 z x) x)) (*.f64 x z))
(fma.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x z)) (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x z)) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) x) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 z (/.f64 y x))) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (*.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) x) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 z (/.f64 y x))) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (*.f64 (/.f64 z x) x))) (cbrt.f64 (*.f64 y (*.f64 (/.f64 z x) x)))) (cbrt.f64 (*.f64 y (*.f64 (/.f64 z x) x))) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 (/.f64 z x) x))) (sqrt.f64 (*.f64 y (*.f64 (/.f64 z x) x))) (*.f64 x z))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 y x)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 y x)))) (*.f64 x z))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 x)) (*.f64 x z))
(fma.f64 (*.f64 x y) (/.f64 z x) (*.f64 x z))
(fma.f64 (*.f64 x (/.f64 z x)) y (*.f64 x z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (/.f64 y x))) (*.f64 x z))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 z (/.f64 y x)))) (sqrt.f64 (*.f64 z (/.f64 y x))) (*.f64 x z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 z (/.f64 y x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x z))
(fma.f64 (*.f64 (*.f64 z (/.f64 y x)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 y x)))) #s(literal 1 binary64))
(/.f64 y (/.f64 x z))
(/.f64 (*.f64 z y) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y)))
(/.f64 (neg.f64 (*.f64 z y)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 x))
(/.f64 (*.f64 y (neg.f64 z)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (*.f64 z (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 z x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 z (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (-.f64 x y))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (-.f64 x y))))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 (*.f64 z (+.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 x y)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 x (*.f64 z (*.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 z (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (neg.f64 (*.f64 z (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (-.f64 (*.f64 z y) (*.f64 x z)))
(pow.f64 (*.f64 z (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 z (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 z (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 z y))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 x z))
(fma.f64 y z (*.f64 x z))
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 z y))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 z y))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 x z))
(fma.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x z)) (*.f64 z y))
(fma.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 z y))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 x z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 z y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 z y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z y))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z y))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 z) x))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(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))))
(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)))

simplify137.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
476×cancel-sign-sub-inv
373×distribute-lft-neg-in
355×fma-neg
345×distribute-rgt-neg-in
326×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04238769
110028385
228717708
Stop Event
1×node limit
Counts
300 → 225
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
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(pow.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 z (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 z (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 z y))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 x z))
(fma.f64 y z (*.f64 x z))
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 z y))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 z y))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 x z))
(fma.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x z)) (*.f64 z y))
(fma.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 z y))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 x z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 z y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 z y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z y))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z y))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 z) x))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(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))))
(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 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (+.f64 y x))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (+.f64 y x))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (+.f64 y x))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (+.f64 y x))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(+.f64 (*.f64 x z) (*.f64 y (*.f64 (/.f64 z x) x)))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y (*.f64 (/.f64 z x) x)) (*.f64 x z))
(*.f64 z (+.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y (/.f64 z x) z))))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (/.f64 z x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 (/.f64 z x) x)) (*.f64 y (*.f64 (/.f64 z x) x))) (*.f64 (*.f64 x z) (*.f64 y (*.f64 (/.f64 z x) x))))))
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(pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 x y)))))
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(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
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(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)))
(/.f64 z x)
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 z x)
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(exp.f64 (log.f64 (/.f64 z x)))
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(/.f64 z x)

eval71.0ms (1.4%)

Compiler

Compiled 3429 to 1104 computations (67.8% saved)

prune42.0ms (0.8%)

Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New2470247
Fresh000
Picked022
Done099
Total24711258
Accuracy
100.0%
Counts
258 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.1%
(+.f64 (*.f64 z x) (*.f64 y z))
✓51.8%
(+.f64 (*.f64 y z) y)
✓50.3%
(+.f64 y x)
✓100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
✓51.8%
(*.f64 (+.f64 x y) z)
✓27.4%
(*.f64 z x)
✓29.0%
(*.f64 y z)
✓42.7%
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
✓51.9%
(*.f64 x (+.f64 z #s(literal 1 binary64)))
✓24.7%
y
✓27.3%
x
Compiler

Compiled 163 to 86 computations (47.2% saved)

regimes34.0ms (0.7%)

Counts
15 → 1
Calls
Call 1
Inputs
x
y
(*.f64 y z)
(*.f64 z x)
(+.f64 y x)
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 x y) z)
(+.f64 (*.f64 y z) y)
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 z x) (*.f64 y z))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(+.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) y) (*.f64 (+.f64 z #s(literal 1 binary64)) x))
(fma.f64 y z y)
Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
Calls

6 calls:

11.0ms
y
5.0ms
x
5.0ms
(+.f64 x y)
4.0ms
z
4.0ms
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
100.0%1(+.f64 x y)
100.0%1(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes28.0ms (0.6%)

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

6 calls:

7.0ms
(+.f64 x y)
5.0ms
z
5.0ms
x
4.0ms
y
3.0ms
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
100.0%1(+.f64 x y)
100.0%1(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes90.0ms (1.8%)

Counts
9 → 2
Calls
Call 1
Inputs
x
y
(*.f64 y z)
(*.f64 z x)
(+.f64 y x)
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 x y) z)
(+.f64 (*.f64 y z) y)
Outputs
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 y z) y)
Calls

5 calls:

59.0ms
(+.f64 x y)
9.0ms
x
8.0ms
z
8.0ms
y
5.0ms
(+.f64 z #s(literal 1 binary64))
Results
AccuracySegmentsBranch
88.3%4x
85.7%4y
98.5%3z
97.7%2(+.f64 x y)
98.5%3(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 24 to 18 computations (25% saved)

regimes6.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
x
y
(*.f64 y z)
(*.f64 z x)
(+.f64 y x)
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 x y) z)
Outputs
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
Calls

1 calls:

6.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
97.7%2(+.f64 x y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes38.0ms (0.7%)

Counts
6 → 7
Calls
Call 1
Inputs
x
y
(*.f64 y z)
(*.f64 z x)
(+.f64 y x)
(*.f64 x (+.f64 z #s(literal 1 binary64)))
Outputs
(*.f64 z x)
(*.f64 y z)
(+.f64 y x)
(*.f64 y z)
(*.f64 z x)
(*.f64 y z)
(*.f64 z x)
Calls

4 calls:

12.0ms
x
10.0ms
z
8.0ms
y
6.0ms
(+.f64 z #s(literal 1 binary64))
Results
AccuracySegmentsBranch
74.3%7y
73.5%6x
84.5%7z
84.5%7(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes25.0ms (0.5%)

Counts
4 → 8
Calls
Call 1
Inputs
x
y
(*.f64 y z)
(*.f64 z x)
Outputs
(*.f64 z x)
(*.f64 y z)
y
x
y
x
(*.f64 y z)
(*.f64 z x)
Calls

3 calls:

9.0ms
z
8.0ms
y
8.0ms
x
Results
AccuracySegmentsBranch
57.3%10y
55.6%7x
63.9%8z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.3%)

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

1 calls:

15.0ms
z
Results
AccuracySegmentsBranch
57.5%6z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.2%)

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

3 calls:

4.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
41.7%2y
44.1%2x
31.6%4z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
y
0.0ms
x
Results
AccuracySegmentsBranch
27.3%1y
27.3%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.021377727680658e-236
3.913534924893564e-301
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.021377727680658e-236
3.913534924893564e-301
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
6×left-value
Steps
TimeLeftRight
0.0ms
4.2352694164646626e+142
1.6964263751479063e+153
0.0ms
2.7481530767592567e+79
1.0268430722553104e+91
0.0ms
2.978259871382719e+41
4.196290621870032e+46
0.0ms
1.066875703703968
6567061333392821000.0
0.0ms
-329665.2026238167
0.9976704315307292
0.0ms
-8.790361082483846e+196
-2.622714580244253e+192
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch92.0ms (1.8%)

Algorithm
7×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
4.2352694164646626e+142
1.6964263751479063e+153
9.0ms
1.5451697402631958e-15
5.849468134327426e-14
13.0ms
1.0307736086779409e-153
2.5103728582736834e-149
10.0ms
7.337946584751083e-256
4.2675710990529266e-252
14.0ms
-2.4371540522544574e-60
-5.260389014276036e-64
14.0ms
-329666.2026238167
-0.0023295684692707687
10.0ms
-8.790361082483846e+196
-2.622714580244253e+192
Results
55.0ms928×0valid
Compiler

Compiled 700 to 528 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-add: 19.0ms (70.7% of total)
ival-mult: 6.0ms (22.3% of total)
const: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch113.0ms (2.2%)

Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.5451697402631958e-15
5.849468134327426e-14
10.0ms
1.0307736086779409e-153
2.5103728582736834e-149
62.0ms
7.337946584751083e-256
4.2675710990529266e-252
10.0ms
-2.4371540522544574e-60
-5.260389014276036e-64
15.0ms
-329666.2026238167
-0.0023295684692707687
Results
85.0ms640×0valid
Compiler

Compiled 448 to 348 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-add: 60.0ms (92% of total)
ival-mult: 5.0ms (7.7% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-1.2537089668850168e-121
-1.5088945025654801e-123
Results
9.0ms112×0valid
Compiler

Compiled 86 to 68 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (43.4% of total)
ival-mult: 1.0ms (43.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify24.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
6×*-commutative
4×not-or
4×+-commutative
4×if-if-or-not
3×1-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
081660
1102654
2105654
3108650
4109650
5110650
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -2291112313477997/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (*.f64 x (+.f64 z #s(literal 1 binary64))) (+.f64 (*.f64 y z) y))
(if (<=.f64 (+.f64 x y) #s(literal -2291112313477997/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 y (+.f64 z #s(literal 1 binary64))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -49999999999999997557164623196175660266945802305931083497332919452867558618749795916391939445861701140479377243835691283534741266252762465463178679631382269968851832691867125003886182691145431121920 binary64)) (*.f64 z x) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -200000 binary64)) (*.f64 y z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 y x) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 500000000000000022442856339037958392774656 binary64)) (*.f64 y z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (*.f64 z x) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000000000001187271617932555267870432896391434109373673249433511871477101028628408881410804164706467298456692005803789670658494504078671872 binary64)) (*.f64 y z) (*.f64 z x)))))))
(if (<=.f64 z #s(literal -99999999999999994465967438754696170766327875910118237148971115117854351613178134068619377108456504406004528089686414709538562749489776621177115003729674648080379472553427423904462708600804999168 binary64)) (*.f64 z x) (if (<=.f64 z #s(literal -1 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal -7873862068137501/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) y (if (<=.f64 z #s(literal 7396123435899313/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) x (if (<=.f64 z #s(literal 5159714252685701/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) y (if (<=.f64 z #s(literal 1148808356456833/19807040628566084398385987584 binary64)) x (if (<=.f64 z #s(literal 5799999999999999964431651797625482349319329472463625222568779723298841143188745532481598505801681665951806239467549042152651111297639233815052288 binary64)) (*.f64 y z) (*.f64 z x))))))))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal -8684406692798715/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) y (if (<=.f64 z #s(literal 825460204899477/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) x (if (<=.f64 z #s(literal 138206631768367/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) y (if (<=.f64 z #s(literal 1148808356456833/19807040628566084398385987584 binary64)) x (*.f64 y z))))))
(if (<=.f64 x #s(literal -5582121402590261/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 binary64)) x y)
x
Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -2291112313477997/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (*.f64 x (+.f64 z #s(literal 1 binary64))) (+.f64 (*.f64 y z) y))
(if (<=.f64 (+.f64 x y) #s(literal -2291112313477997/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (*.f64 x (+.f64 z #s(literal 1 binary64))) (+.f64 y (*.f64 y z)))
(if (<=.f64 (+.f64 x y) #s(literal -2291112313477997/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (*.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 y (+.f64 z #s(literal 1 binary64))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -49999999999999997557164623196175660266945802305931083497332919452867558618749795916391939445861701140479377243835691283534741266252762465463178679631382269968851832691867125003886182691145431121920 binary64)) (*.f64 z x) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -200000 binary64)) (*.f64 y z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 y x) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 500000000000000022442856339037958392774656 binary64)) (*.f64 y z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (*.f64 z x) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000000000001187271617932555267870432896391434109373673249433511871477101028628408881410804164706467298456692005803789670658494504078671872 binary64)) (*.f64 y z) (*.f64 z x)))))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -49999999999999997557164623196175660266945802305931083497332919452867558618749795916391939445861701140479377243835691283534741266252762465463178679631382269968851832691867125003886182691145431121920 binary64)) (*.f64 x z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -200000 binary64)) (*.f64 y z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 x y) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 500000000000000022442856339037958392774656 binary64)) (*.f64 y z) (if (or (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (not (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000000000001187271617932555267870432896391434109373673249433511871477101028628408881410804164706467298456692005803789670658494504078671872 binary64)))) (*.f64 x z) (*.f64 y z))))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -49999999999999997557164623196175660266945802305931083497332919452867558618749795916391939445861701140479377243835691283534741266252762465463178679631382269968851832691867125003886182691145431121920 binary64)) (*.f64 x z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -200000 binary64)) (*.f64 y z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 x y) (if (or (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 500000000000000022442856339037958392774656 binary64)) (not (or (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (not (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000000000001187271617932555267870432896391434109373673249433511871477101028628408881410804164706467298456692005803789670658494504078671872 binary64)))))) (*.f64 y z) (*.f64 x z)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -49999999999999997557164623196175660266945802305931083497332919452867558618749795916391939445861701140479377243835691283534741266252762465463178679631382269968851832691867125003886182691145431121920 binary64)) (*.f64 x z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -200000 binary64)) (*.f64 y z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 x y) (if (or (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 500000000000000022442856339037958392774656 binary64)) (and (not (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64))) (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000000000001187271617932555267870432896391434109373673249433511871477101028628408881410804164706467298456692005803789670658494504078671872 binary64)))) (*.f64 y z) (*.f64 x z)))))
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(if (<=.f64 x #s(literal -5582121402590261/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 binary64)) x y)
x

soundness604.0ms (11.9%)

Rules
934×times-frac
855×log1p-expm1-u
855×expm1-log1p-u
815×log1p-expm1-u
815×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04037261
110407133
238816874
01351
115751
2222051
060913739
1147212378
2422612044
017113
126299
2391299
Stop Event
1×done
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 259 to 133 computations (48.6% saved)

preprocess71.0ms (1.4%)

Remove

(sort x y)

Compiler

Compiled 460 to 244 computations (47% saved)

end0.0ms (0%)

Profiling

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