Linear.Quaternion:$c/ from linear-1.19.1.3, C

Time bar (total: 4.7s)

analyze0.0ms (0%)

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

Compiled 19 to 10 computations (47.4% saved)

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

sample2.0s (41.6%)

Results
696.0ms5814×0valid
587.0ms1566×1valid
255.0ms873×2valid
1.0ms3valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 441.0ms (42.7% of total)
backward-pass: 293.0ms (28.4% of total)
ival-sub: 225.0ms (21.8% of total)
ival-add: 67.0ms (6.5% of total)
const: 8.0ms (0.8% of total)
Bogosity

preprocess206.0ms (4.4%)

Algorithm
egg-herbie
Rules
615×sub-neg
573×unsub-neg
421×distribute-lft-out
374×distribute-lft-out--
360×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049617
1193480
2637440
32684250
45729250
56647250
67111250
77224250
87264250
97271250
107706250
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (-.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) (neg.f64 y)))
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y (neg.f64 z))) (*.f64 y y))
(neg.f64 (-.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y)))
(neg.f64 (-.f64 (-.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y (neg.f64 z))) (*.f64 y y)))
(-.f64 (-.f64 (+.f64 (*.f64 y x) (*.f64 x x)) (*.f64 x z)) (*.f64 x x))
(-.f64 (-.f64 (+.f64 (*.f64 z y) (*.f64 y y)) (*.f64 y x)) (*.f64 y y))
(-.f64 (-.f64 (+.f64 (*.f64 x z) (*.f64 z z)) (*.f64 z y)) (*.f64 z z))
Outputs
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (+.f64 x y) (+.f64 y z)))
(*.f64 y (+.f64 x (-.f64 y (+.f64 y z))))
(*.f64 y (-.f64 x z))
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (+.f64 x y) (+.f64 y z)))
(*.f64 y (+.f64 x (-.f64 y (+.f64 y z))))
(*.f64 y (-.f64 x z))
(-.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (*.f64 y (+.f64 (neg.f64 x) y)) (*.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (fma.f64 #s(literal -1 binary64) x y) (+.f64 y z)))
(*.f64 y (-.f64 (-.f64 y x) (+.f64 y z)))
(*.f64 y (neg.f64 (+.f64 x z)))
(-.f64 (-.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) (neg.f64 y)))
(-.f64 (+.f64 (*.f64 y (+.f64 (neg.f64 x) y)) (*.f64 y z)) (*.f64 y y))
(*.f64 y (-.f64 (+.f64 y z) (+.f64 x y)))
(*.f64 y (+.f64 z (-.f64 y (+.f64 x y))))
(*.f64 y (-.f64 z x))
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y (neg.f64 z))) (*.f64 y y))
(-.f64 (*.f64 y (+.f64 x y)) (+.f64 (*.f64 y (neg.f64 z)) (*.f64 y y)))
(fma.f64 y (+.f64 x y) (neg.f64 (*.f64 y (-.f64 y z))))
(*.f64 y (-.f64 (+.f64 x y) (-.f64 y z)))
(*.f64 y (+.f64 x z))
(neg.f64 (-.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y)))
(-.f64 (*.f64 y (+.f64 x y)) (+.f64 (*.f64 y (neg.f64 z)) (*.f64 y y)))
(fma.f64 y (+.f64 x y) (neg.f64 (*.f64 y (-.f64 y z))))
(*.f64 y (-.f64 (+.f64 x y) (-.f64 y z)))
(*.f64 y (+.f64 x z))
(neg.f64 (-.f64 (-.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) (neg.f64 y))))
(-.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (+.f64 x y) (+.f64 y z)))
(*.f64 y (+.f64 x (-.f64 y (+.f64 y z))))
(*.f64 y (-.f64 x z))
(neg.f64 (-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y (neg.f64 z))) (*.f64 y y)))
(-.f64 (*.f64 y (+.f64 (neg.f64 x) y)) (*.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (fma.f64 #s(literal -1 binary64) x y) (+.f64 y z)))
(*.f64 y (-.f64 (-.f64 y x) (+.f64 y z)))
(*.f64 y (neg.f64 (+.f64 x z)))
(-.f64 (-.f64 (+.f64 (*.f64 y x) (*.f64 x x)) (*.f64 x z)) (*.f64 x x))
(-.f64 (*.f64 x (+.f64 y x)) (+.f64 (*.f64 x z) (*.f64 x x)))
(-.f64 (*.f64 x (+.f64 x y)) (*.f64 x (+.f64 x z)))
(*.f64 x (-.f64 (+.f64 x y) (+.f64 x z)))
(*.f64 x (-.f64 y z))
(-.f64 (-.f64 (+.f64 (*.f64 z y) (*.f64 y y)) (*.f64 y x)) (*.f64 y y))
(-.f64 (+.f64 (*.f64 y (+.f64 (neg.f64 x) y)) (*.f64 y z)) (*.f64 y y))
(*.f64 y (-.f64 (+.f64 y z) (+.f64 x y)))
(*.f64 y (+.f64 z (-.f64 y (+.f64 x y))))
(*.f64 y (-.f64 z x))
(-.f64 (-.f64 (+.f64 (*.f64 x z) (*.f64 z z)) (*.f64 z y)) (*.f64 z z))
(-.f64 (*.f64 z (+.f64 x z)) (+.f64 (*.f64 y z) (*.f64 z z)))
(-.f64 (*.f64 z (-.f64 (+.f64 x z) y)) (*.f64 z z))
(*.f64 z (-.f64 (+.f64 x z) (+.f64 y z)))
(*.f64 z (-.f64 x y))
Symmetry

(negabs y)

explain111.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
820-0-(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
130-0-(-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z))
90-0-(+.f64 (*.f64 x y) (*.f64 y y))
00-0-x
00-0-(*.f64 y z)
00-0-(*.f64 y y)
00-0-y
00-0-(*.f64 x y)
00-0-z
Results
35.0ms378×0valid
17.0ms86×1valid
16.0ms48×2valid
Compiler

Compiled 116 to 29 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 14.0ms (45.2% of total)
ival-sub: 8.0ms (25.9% of total)
backward-pass: 5.0ms (16.2% of total)
ival-add: 4.0ms (12.9% of total)
const: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 37 to 16 computations (56.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 y (-.f64 x z))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize46.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x z)
cost-diff0
(*.f64 y (-.f64 x z))
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(*.f64 y (-.f64 x z))
Rules
190×fma-define
96×fma-neg
43×distribute-lft-in
41×distribute-rgt-in
32×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
11547
22647
34647
47747
511447
618647
730847
855047
968547
1075147
1175347
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 y (-.f64 x z))
y
(-.f64 x z)
x
z
Outputs
(*.f64 y (-.f64 x z))
y
(-.f64 x z)
x
z
Results
15.0ms256×0valid
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 2.0ms (50.7% of total)
ival-mult: 2.0ms (50.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
2 → 45
Calls
Call 1
Inputs
#<alt (*.f64 y (-.f64 x z))>
#<alt (-.f64 x z)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
Calls

15 calls:

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

rewrite217.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
577×log1p-expm1-u
577×expm1-log1p-u
498×unpow-prod-down
359×prod-diff
356×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
111735
2153035
Stop Event
node limit
Counts
2 → 130
Calls
Call 1
Inputs
(*.f64 y (-.f64 x z))
(-.f64 x z)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 x z)))
(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 x z)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 x z))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (+.f64 x z))
(pow.f64 (*.f64 y (-.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (-.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 x z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 x z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (-.f64 x z))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y (neg.f64 z)))
(fma.f64 x y (*.f64 (neg.f64 z) y))
(+.f64 x (neg.f64 z))
(+.f64 x (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (-.f64 x z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(+.f64 (-.f64 x z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (-.f64 x z) (+.f64 (neg.f64 z) z))
(+.f64 (-.f64 x z) (fma.f64 #s(literal -1 binary64) z z))
(+.f64 (-.f64 x z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) z))
(+.f64 (neg.f64 z) x)
(+.f64 #s(literal 0 binary64) (-.f64 x z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x z)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x z)))))
(*.f64 (-.f64 x z) #s(literal 1 binary64))
(*.f64 (-.f64 x z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x z))
(*.f64 (cbrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x z)))
(*.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 (-.f64 x z)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 x z))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x z))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (-.f64 x z)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x z) (cbrt.f64 (-.f64 x z))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 x z))))
(*.f64 (pow.f64 (pow.f64 (-.f64 x z) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 x z))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 x z)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (neg.f64 z) #s(literal 2 binary64)) (*.f64 x (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (neg.f64 z) #s(literal 2 binary64))) (-.f64 x (neg.f64 z)))
(pow.f64 (-.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 z))))
(log.f64 (*.f64 (exp.f64 (neg.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x z)))
(log1p.f64 (expm1.f64 (-.f64 x z)))
(exp.f64 (log.f64 (-.f64 x z)))
(exp.f64 (*.f64 (log.f64 (-.f64 x z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 z))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 x z) #s(literal 1 binary64) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 x z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 x z) #s(literal 1 binary64) (+.f64 (neg.f64 z) z))
(fma.f64 #s(literal 1 binary64) x (neg.f64 z))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) (-.f64 x z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 #s(literal 1 binary64) (-.f64 x z) (+.f64 (neg.f64 z) z))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) x)
(fma.f64 (cbrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (cbrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (cbrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (+.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x z)) (+.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 z))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 (-.f64 x z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 (-.f64 x z)) (+.f64 (neg.f64 z) z))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 z) z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 z)) x)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) x)
(fma.f64 #s(literal -1 binary64) z x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)

simplify122.0ms (2.6%)

Algorithm
egg-herbie
Rules
840×fma-define
425×distribute-lft-in
413×div-sub
404×distribute-rgt-in
365×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03174611
16754416
218844347
372734347
Stop Event
node limit
Counts
175 → 177
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
x
(+.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 #s(literal -1 binary64) z)
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 x z)))
(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 x z)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 x z))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (+.f64 x z))
(pow.f64 (*.f64 y (-.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (-.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 x z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 x z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (-.f64 x z))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y (neg.f64 z)))
(fma.f64 x y (*.f64 (neg.f64 z) y))
(+.f64 x (neg.f64 z))
(+.f64 x (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (-.f64 x z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(+.f64 (-.f64 x z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (-.f64 x z) (+.f64 (neg.f64 z) z))
(+.f64 (-.f64 x z) (fma.f64 #s(literal -1 binary64) z z))
(+.f64 (-.f64 x z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) z))
(+.f64 (neg.f64 z) x)
(+.f64 #s(literal 0 binary64) (-.f64 x z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x z)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x z)))))
(*.f64 (-.f64 x z) #s(literal 1 binary64))
(*.f64 (-.f64 x z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x z))
(*.f64 (cbrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x z)))
(*.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 (-.f64 x z)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 x z))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x z))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (-.f64 x z)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x z) (cbrt.f64 (-.f64 x z))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 x z))))
(*.f64 (pow.f64 (pow.f64 (-.f64 x z) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 x z))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 x z)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (neg.f64 z) #s(literal 2 binary64)) (*.f64 x (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (neg.f64 z) #s(literal 2 binary64))) (-.f64 x (neg.f64 z)))
(pow.f64 (-.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 z))))
(log.f64 (*.f64 (exp.f64 (neg.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x z)))
(log1p.f64 (expm1.f64 (-.f64 x z)))
(exp.f64 (log.f64 (-.f64 x z)))
(exp.f64 (*.f64 (log.f64 (-.f64 x z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 z))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 x z) #s(literal 1 binary64) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 x z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 x z) #s(literal 1 binary64) (+.f64 (neg.f64 z) z))
(fma.f64 #s(literal 1 binary64) x (neg.f64 z))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) (-.f64 x z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 #s(literal 1 binary64) (-.f64 x z) (+.f64 (neg.f64 z) z))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) x)
(fma.f64 (cbrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (cbrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (cbrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (+.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x z)) (+.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 z))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 (-.f64 x z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 (-.f64 x z)) (+.f64 (neg.f64 z) z))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 z) z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 z)) x)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) x)
(fma.f64 #s(literal -1 binary64) z x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (neg.f64 (*.f64 y (/.f64 z x)))))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (neg.f64 (*.f64 y (/.f64 z x)))))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (neg.f64 (*.f64 y (/.f64 z x)))))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (neg.f64 (*.f64 y (/.f64 z x)))))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (neg.f64 (*.f64 y (/.f64 z x)))))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (neg.f64 (*.f64 y (/.f64 z x)))))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) (neg.f64 y)))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) (neg.f64 y)))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) (neg.f64 y)))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) (neg.f64 y)))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) (neg.f64 y)))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) (neg.f64 y)))
(*.f64 z (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(-.f64 x z)
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(-.f64 x z)
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(-.f64 x z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 x z)))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) y))
(*.f64 y (-.f64 x z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 x z)))) #s(literal 1 binary64))
(*.f64 y (-.f64 x z))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(*.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 x z))
(*.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 z x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(*.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (+.f64 x z))
(*.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 z x)))
(pow.f64 (*.f64 y (-.f64 x z)) #s(literal 1 binary64))
(*.f64 y (-.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) #s(literal 3 binary64))
(*.f64 y (-.f64 x z))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 y (-.f64 x z))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 z x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 z x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 (neg.f64 z) z))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 z x))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) x)
(-.f64 x z)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 z)) x)
(-.f64 x z)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) x)
(-.f64 x z)
(fma.f64 #s(literal -1 binary64) z x)
(-.f64 x z)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (fma.f64 #s(literal -1 binary64) z z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (fma.f64 #s(literal -1 binary64) z z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (fma.f64 #s(literal -1 binary64) z z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(-.f64 x z)

eval21.0ms (0.4%)

Compiler

Compiled 2127 to 493 computations (76.8% saved)

prune26.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1743177
Fresh000
Picked011
Done000
Total1744178
Accuracy
100.0%
Counts
178 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))
51.7%
(*.f64 z (neg.f64 y))
100.0%
(*.f64 y (-.f64 x z))
56.4%
(*.f64 y x)
Compiler

Compiled 32 to 21 computations (34.4% saved)

localize101.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 y (neg.f64 z))
cost-diff0
(*.f64 y x)
cost-diff192
(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 z (neg.f64 y))
cost-diff0
(*.f64 y x)
accuracy100.0%
(*.f64 y (neg.f64 z))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(neg.f64 z)
accuracy97.9%
(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))
accuracy100.0%
(*.f64 z (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(*.f64 y x)
Rules
200×fma-define
124×fma-neg
38×fma-define
35×distribute-rgt-in
30×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
1921
01033
11733
22833
33933
45033
56733
69033
710733
811333
912533
01476
12772
24872
37372
410772
516572
628772
741772
859572
973372
1074572
Stop Event
saturated
saturated
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))
(*.f64 y x)
y
x
(*.f64 y (neg.f64 z))
(neg.f64 z)
z
Outputs
(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))
(*.f64 y (+.f64 x (neg.f64 z)))
(*.f64 y (-.f64 x z))
(*.f64 y x)
y
x
(*.f64 y (neg.f64 z))
(neg.f64 z)
z
Call 2
Inputs
(*.f64 z (neg.f64 y))
z
(neg.f64 y)
y
Outputs
(*.f64 z (neg.f64 y))
z
(neg.f64 y)
y
Call 3
Inputs
(*.f64 y x)
y
x
Outputs
(*.f64 y x)
y
x
Results
33.0ms256×0valid
Compiler

Compiled 37 to 10 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (59.1% of total)
ival-neg: 2.0ms (19.7% of total)
ival-add: 1.0ms (9.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
6 → 132
Calls
Call 1
Inputs
#<alt (*.f64 y x)>
#<alt (neg.f64 y)>
#<alt (*.f64 z (neg.f64 y))>
#<alt (+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))>
#<alt (neg.f64 z)>
#<alt (*.f64 y (neg.f64 z))>
Outputs
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
Calls

33 calls:

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

rewrite144.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
782×unpow-prod-down
701×log1p-expm1-u
701×expm1-log1p-u
392×log-prod
292×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01689
120869
2292569
Stop Event
node limit
Counts
6 → 362
Calls
Call 1
Inputs
(*.f64 y x)
(neg.f64 y)
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))
(neg.f64 z)
(*.f64 y (neg.f64 z))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(neg.f64 (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 y) (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) y)
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.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 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))

simplify223.0ms (4.8%)

Algorithm
egg-herbie
Rules
686×fma-neg
520×associate-*l*
501×prod-exp
495×associate-*r*
349×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070013469
1139712419
2542912207
Stop Event
node limit
Counts
494 → 457
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
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(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
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(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(neg.f64 (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 y) (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
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(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) y)
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 y))
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(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)
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(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 y))
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(*.f64 (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64)))
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(*.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
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(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
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(-.f64 (*.f64 y x) (*.f64 y z))
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(fma.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y z (*.f64 y z)))
(fma.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 y x))
(fma.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64) (fma.f64 y z (*.f64 y z)))
(fma.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(fma.f64 (+.f64 x z) y (fma.f64 y z (*.f64 y z)))
(fma.f64 (+.f64 x z) y (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (+.f64 x z) y (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y z))) (fma.f64 y z (*.f64 y z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(+.f64 #s(literal 0 binary64) z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (log.f64 (cbrt.f64 (exp.f64 z))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 z))) (log.f64 (sqrt.f64 (exp.f64 z))))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 z (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 z (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 z) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) z)
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) z)
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 z (sqrt.f64 z)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 z)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 z)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 z)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) (cbrt.f64 (pow.f64 (exp.f64 y) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(neg.f64 (*.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.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 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
Outputs
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 x z))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 x z))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 x z))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 x z))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 x z))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 x z))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 x z))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 y (neg.f64 z)) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 y (neg.f64 z)) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 y (neg.f64 z)) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (neg.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (neg.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (*.f64 y (/.f64 z x))))
(*.f64 x (neg.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
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(log.f64 (exp.f64 z))
z
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
z
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(neg.f64 z)
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
z
(exp.f64 (log.f64 z))
z
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
z
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
z
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 z)) #s(literal 1/3 binary64)))
z
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
z
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(*.f64 y z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) (cbrt.f64 (pow.f64 (exp.f64 y) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.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 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 y z)
(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)
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y z))
(log.f64 (pow.f64 (exp.f64 y) z))
(*.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(*.f64 y z)
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(*.f64 y (neg.f64 z))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(*.f64 y z)
(expm1.f64 (log1p.f64 (*.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 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #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)

eval112.0ms (2.4%)

Compiler

Compiled 6581 to 1186 computations (82% saved)

prune99.0ms (2.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4852487
Fresh000
Picked123
Done011
Total4865491
Accuracy
100.0%
Counts
491 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(-.f64 (*.f64 y x) (*.f64 y z))
51.7%
(*.f64 z (neg.f64 y))
100.0%
(*.f64 y (-.f64 x z))
8.2%
(*.f64 y (neg.f64 x))
56.4%
(*.f64 y x)
Compiler

Compiled 38 to 25 computations (34.2% saved)

localize71.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 y x)
cost-diff128
(-.f64 (*.f64 y x) (*.f64 y z))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 y (neg.f64 x))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 y x)
accuracy97.9%
(-.f64 (*.f64 y x) (*.f64 y z))
accuracy100.0%
(*.f64 y (neg.f64 x))
accuracy100.0%
(neg.f64 x)
Rules
192×fma-define
134×fma-neg
38×fma-define
34×cancel-sign-sub-inv
28×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
11733
22833
33933
45033
56733
69033
710733
811333
912533
01260
12460
24160
36060
49660
514860
625960
742660
861860
969760
1071160
Stop Event
saturated
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y x)
y
x
(*.f64 y z)
z
Outputs
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (-.f64 x z))
(*.f64 y x)
y
x
(*.f64 y z)
z
Call 2
Inputs
(*.f64 y (neg.f64 x))
y
(neg.f64 x)
x
Outputs
(*.f64 y (neg.f64 x))
y
(neg.f64 x)
x
Results
26.0ms256×0valid
Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 10.0ms (80.1% of total)
ival-sub: 1.0ms (8% of total)
ival-neg: 1.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts
4 → 72
Calls
Call 1
Inputs
#<alt (neg.f64 x)>
#<alt (*.f64 y (neg.f64 x))>
#<alt (-.f64 (*.f64 y x) (*.f64 y z))>
#<alt (*.f64 y z)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (-.f64 x z))>
#<alt (*.f64 y (-.f64 x z))>
#<alt (*.f64 y (-.f64 x z))>
#<alt (*.f64 y (-.f64 x z))>
#<alt (*.f64 y (-.f64 x z))>
#<alt (*.f64 y (-.f64 x z))>
#<alt (*.f64 y (-.f64 x z))>
#<alt (*.f64 y (-.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (-.f64 (*.f64 x y) (*.f64 y z))>
#<alt (-.f64 (*.f64 x y) (*.f64 y z))>
#<alt (-.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x y) z) y))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x y) z) y))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x y) z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))>
Calls

24 calls:

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

rewrite157.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
778×log1p-expm1-u
778×expm1-log1p-u
491×fma-define
428×log-prod
242×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01560
119552
2266652
Stop Event
node limit
Counts
4 → 315
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y (neg.f64 x))
(-.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y z)
Outputs
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(+.f64 (*.f64 x y) (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 x y) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(+.f64 (*.f64 y (-.f64 x z)) (fma.f64 y (neg.f64 z) (*.f64 y z)))
(+.f64 (*.f64 y (-.f64 x z)) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(+.f64 (*.f64 y (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(+.f64 (*.f64 y (-.f64 x z)) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (-.f64 x z)) (+.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(+.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) (*.f64 y (-.f64 x z)))
(+.f64 (*.f64 y (neg.f64 z)) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 x z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))
(*.f64 y (-.f64 x z))
(*.f64 (*.f64 y (-.f64 x z)) #s(literal 1 binary64))
(*.f64 (*.f64 y (-.f64 x z)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z)))
(*.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (-.f64 x z))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (-.f64 x z)))
(*.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 x z)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))))
(*.f64 (-.f64 x z) y)
(*.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))))
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(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 x z)) (fma.f64 y (neg.f64 z) (*.f64 y z)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 x z)) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 x z)) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 x z)) (+.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 y (neg.f64 z) (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y (neg.f64 z)))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 x y))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))) (fma.f64 y (neg.f64 z) (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))) (+.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (neg.f64 y) x (*.f64 y (neg.f64 z)))
(fma.f64 (neg.f64 y) x (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) x (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (neg.f64 y) x (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (neg.f64 y) z (*.f64 x y))
(fma.f64 (-.f64 x z) y (fma.f64 y (neg.f64 z) (*.f64 y z)))
(fma.f64 (-.f64 x z) y (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (-.f64 x z) y (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (-.f64 x z) y (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (-.f64 x z) y (+.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (neg.f64 z))) (cbrt.f64 (*.f64 y (neg.f64 z)))) (cbrt.f64 (*.f64 y (neg.f64 z))) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 y (neg.f64 z) (*.f64 y z))) (cbrt.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)))) (cbrt.f64 (fma.f64 y (neg.f64 z) (*.f64 y z))) (*.f64 y (-.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) (sqrt.f64 (*.f64 y (neg.f64 z))) (*.f64 x y))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 z) (*.f64 y z))) (sqrt.f64 (fma.f64 y (neg.f64 z) (*.f64 y z))) (*.f64 y (-.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))) (fma.f64 y (neg.f64 z) (*.f64 y z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 y z))) (+.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)) (*.f64 x y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (*.f64 y (neg.f64 z)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 y (neg.f64 z)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) z (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) (cbrt.f64 (pow.f64 (exp.f64 y) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (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 y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(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 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))

simplify175.0ms (3.7%)

Algorithm
egg-herbie
Rules
651×fma-neg
353×distribute-lft-neg-in
320×distribute-rgt-neg-in
243×associate-+r+
212×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056110130
111959606
236159368
Stop Event
node limit
Counts
387 → 353
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(-.f64 (*.f64 x y) (*.f64 y z))
(-.f64 (*.f64 x y) (*.f64 y z))
(-.f64 (*.f64 x y) (*.f64 y z))
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
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(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) z (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 y (neg.f64 z)))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) (cbrt.f64 (pow.f64 (exp.f64 y) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (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 y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(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 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (-.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (-.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (-.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (-.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(-.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 x z))
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 y (*.f64 y (/.f64 z x))))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) y))
(*.f64 z (*.f64 y (+.f64 (/.f64 x z) #s(literal -1 binary64))))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) y))
(*.f64 z (*.f64 y (+.f64 (/.f64 x z) #s(literal -1 binary64))))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) y))
(*.f64 z (*.f64 y (+.f64 (/.f64 x z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) y))
(*.f64 z (*.f64 y (+.f64 (/.f64 x z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) y))
(*.f64 z (*.f64 y (+.f64 (/.f64 x z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) y))
(*.f64 z (*.f64 y (+.f64 (/.f64 x z) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) x)
x
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) x)
(neg.f64 x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
x
(*.f64 x #s(literal 1 binary64))
x
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
x
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(neg.f64 x)
(*.f64 #s(literal 1 binary64) x)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(neg.f64 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(neg.f64 x)
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
x
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(neg.f64 x)
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
x
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 x y)
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(*.f64 x (neg.f64 y))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 x y) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 x y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y (-.f64 x z)) (fma.f64 y (neg.f64 z) (*.f64 y z)))
(*.f64 y (-.f64 x z))
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(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 y (-.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(*.f64 y (-.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(*.f64 y (-.f64 x z))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 y (neg.f64 z)))
(fma.f64 x (neg.f64 y) (*.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (+.f64 x z)))
(*.f64 y (-.f64 (neg.f64 x) z))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 x (neg.f64 y) (*.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (+.f64 x z)))
(*.f64 y (-.f64 (neg.f64 x) z))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 x (neg.f64 y) (*.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (+.f64 x z)))
(*.f64 y (-.f64 (neg.f64 x) z))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 x (neg.f64 y) (*.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (+.f64 x z)))
(*.f64 y (-.f64 (neg.f64 x) z))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(*.f64 y z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) (cbrt.f64 (pow.f64 (exp.f64 y) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(*.f64 y z)
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 y z)
(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 y) z))
(*.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 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #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)

eval43.0ms (0.9%)

Compiler

Compiled 5559 to 745 computations (86.6% saved)

prune80.0ms (1.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3830383
Fresh000
Picked022
Done033
Total3835388
Accuracy
100.0%
Counts
388 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(-.f64 (*.f64 y x) (*.f64 y z))
51.7%
(*.f64 z (neg.f64 y))
100.0%
(*.f64 y (-.f64 x z))
8.2%
(*.f64 y (neg.f64 x))
56.4%
(*.f64 y x)
Compiler

Compiled 87 to 45 computations (48.3% saved)

regimes63.0ms (1.3%)

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

4 calls:

56.0ms
z
3.0ms
y
3.0ms
x
2.0ms
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
Compiler

Compiled 30 to 18 computations (40% saved)

regimes14.0ms (0.3%)

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

3 calls:

6.0ms
y
4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
80.2%3x
69.6%10y
82.4%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -32.4b remaining (-116.1%)

Threshold costs -32.4b (-116.1%)

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

2 calls:

2.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
56.4%1x
56.4%1z
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch36.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
9345983470277300.0
196422450590910980.0
18.0ms
-4.969353268868003e-21
-8.56175089457979e-26
Results
11.0ms163×0valid
7.0ms45×1valid
8.0ms32×2valid
Compiler

Compiled 249 to 179 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (47.4% of total)
ival-sub: 4.0ms (27.1% of total)
backward-pass: 2.0ms (13.5% of total)
ival-add: 2.0ms (13.5% of total)
const: 0.0ms (0% of total)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02496
14096
25096
35696
45896
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 y (-.f64 x z))
(if (<=.f64 z #s(literal -5988969657808517/10889035741470030830827987437816582766592 binary64)) (*.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 58000000000000000 binary64)) (*.f64 y x) (*.f64 z (neg.f64 y))))
(*.f64 y x)
Outputs
(*.f64 y (-.f64 x z))
(if (<=.f64 z #s(literal -5988969657808517/10889035741470030830827987437816582766592 binary64)) (*.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 58000000000000000 binary64)) (*.f64 y x) (*.f64 z (neg.f64 y))))
(if (or (<=.f64 z #s(literal -5988969657808517/10889035741470030830827987437816582766592 binary64)) (not (<=.f64 z #s(literal 58000000000000000 binary64)))) (*.f64 z (neg.f64 y)) (*.f64 y x))
(*.f64 y x)

soundness590.0ms (12.6%)

Rules
840×fma-define
615×sub-neg
573×unsub-neg
425×distribute-lft-in
421×distribute-lft-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049617
1193480
2637440
32684250
45729250
56647250
67111250
77224250
87264250
97271250
107706250
03174611
16754416
218844347
372734347
Stop Event
done
node limit
node limit
Compiler

Compiled 200 to 63 computations (68.5% saved)

preprocess52.0ms (1.1%)

Remove

(negabs y)

Compiler

Compiled 138 to 78 computations (43.5% saved)

end0.0ms (0%)

Profiling

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