Main:bigenough2 from A

Time bar (total: 19.1s)

analyze1.0ms (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 11 to 7 computations (36.4% saved)

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

sample3.3s (17.2%)

Results
2.7s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 883.0ms
ival-add: 582.0ms (65.9% of total)
ival-mult: 278.0ms (31.5% of total)
const: 19.0ms (2.2% of total)
backward-pass: 5.0ms (0.6% of total)
Bogosity

preprocess507.0ms (2.6%)

Algorithm
egg-herbie
Rules
994×fma-neg
513×fma-define
210×distribute-rgt-in
181×unsub-neg
147×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036369
1106313
2363313
3949313
42595313
53322313
63432313
73432313
84189313
94189313
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 (neg.f64 x) (*.f64 y (+.f64 z (neg.f64 x))))
(+.f64 x (*.f64 (neg.f64 y) (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 (neg.f64 z) x)))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 y (+.f64 z (neg.f64 x)))))
(neg.f64 (+.f64 x (*.f64 (neg.f64 y) (+.f64 z x))))
(neg.f64 (+.f64 x (*.f64 y (+.f64 (neg.f64 z) x))))
(+.f64 y (*.f64 x (+.f64 z y)))
(+.f64 z (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 z (+.f64 y x)))
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 (neg.f64 x) (*.f64 y (+.f64 z (neg.f64 x))))
(+.f64 (neg.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) (neg.f64 x))
(-.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 x (*.f64 (neg.f64 y) (+.f64 z x)))
(+.f64 x (*.f64 (+.f64 x z) (neg.f64 y)))
(-.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 (neg.f64 z) x)))
(+.f64 x (*.f64 y (+.f64 x (neg.f64 z))))
(fma.f64 y (-.f64 x z) x)
(neg.f64 (+.f64 (neg.f64 x) (*.f64 y (+.f64 z (neg.f64 x)))))
(+.f64 x (*.f64 y (+.f64 x (neg.f64 z))))
(fma.f64 y (-.f64 x z) x)
(neg.f64 (+.f64 x (*.f64 (neg.f64 y) (+.f64 z x))))
(neg.f64 (+.f64 x (*.f64 (+.f64 x z) (neg.f64 y))))
(-.f64 (*.f64 y (+.f64 x z)) x)
(fma.f64 y (+.f64 x z) (neg.f64 x))
(neg.f64 (+.f64 x (*.f64 y (+.f64 (neg.f64 z) x))))
(+.f64 (neg.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) (neg.f64 x))
(-.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 y (*.f64 x (+.f64 z y)))
(+.f64 y (*.f64 x (+.f64 y z)))
(fma.f64 x (+.f64 y z) y)
(+.f64 z (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) z)
(+.f64 x (*.f64 z (+.f64 y x)))
(+.f64 x (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) x)

explain270.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 x (*.f64 y (+.f64 z x)))
00-0-z
00-0-(*.f64 y (+.f64 z x))
00-0-y
00-0-(+.f64 z x)
Results
106.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 11.0ms (49% of total)
ival-add: 10.0ms (44.5% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 16 to 7 computations (56.3% saved)

prune2.0ms (0%)

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

Compiled 19 to 11 computations (42.1% saved)

localize228.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x z)
cost-diff0
(fma.f64 y (+.f64 x z) x)
cost-diff-6272
(+.f64 x (*.f64 y (+.f64 z x)))
cost-diff0
(+.f64 z x)
cost-diff0
(*.f64 y (+.f64 z x))
accuracy100.0%
(+.f64 x z)
accuracy100.0%
(fma.f64 y (+.f64 x z) x)
accuracy100.0%
(+.f64 z x)
accuracy100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
accuracy100.0%
(*.f64 y (+.f64 z x))
Rules
65×fma-define
associate-*r*
associate-*l*
+-commutative
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015126
125126
240126
355126
468126
575126
681126
7100126
8116126
9130126
10148126
11155126
12156126
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
x
(*.f64 y (+.f64 z x))
y
(+.f64 z x)
z
(fma.f64 y (+.f64 x z) x)
y
(+.f64 x z)
x
z
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 y (+.f64 x z) x)
x
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
y
(+.f64 z x)
(+.f64 x z)
z
(fma.f64 y (+.f64 x z) x)
y
(+.f64 x z)
x
z
Results
107.0ms256×0valid
Compiler

Compiled 34 to 9 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-add: 31.0ms (78.3% of total)
ival-fma: 5.0ms (12.6% of total)
ival-mult: 3.0ms (7.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series41.0ms (0.2%)

Counts
5 → 150
Calls
Call 1
Inputs
#<alt (*.f64 y (+.f64 z x))>
#<alt (+.f64 x (*.f64 y (+.f64 z x)))>
#<alt (+.f64 z x)>
#<alt (fma.f64 y (+.f64 x z) x)>
#<alt (+.f64 x z)>
Outputs
#<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 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 x y)>
#<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 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.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 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.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 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt x>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt z>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt x>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
Calls

39 calls:

TimeVariablePointExpression
17.0ms
y
@inf
(+ x (* y (+ z x)))
1.0ms
z
@-inf
(* y (+ z x))
1.0ms
z
@inf
(+ (* y (+ x z)) x)
1.0ms
y
@0
(* y (+ z x))
1.0ms
z
@inf
(* y (+ z x))

rewrite816.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
977×log1p-expm1-u
977×expm1-log1p-u
527×fma-define
407×log-prod
227×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015102
1203102
22733102
Stop Event
node limit
Counts
5 → 277
Calls
Call 1
Inputs
(*.f64 y (+.f64 z x))
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 z x)
(fma.f64 y (+.f64 x z) x)
(+.f64 x z)
Outputs
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 z x)))
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 z x))) (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 z x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 z x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 z x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y z) (*.f64 y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 y z) (*.f64 y x)))
(/.f64 (*.f64 y (+.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 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (pow.f64 z #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 y (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #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 z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 x (-.f64 x z) (pow.f64 z #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 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y) (-.f64 z x))
(pow.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 y x)) (exp.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 z x))))
(exp.f64 (log.f64 (*.f64 y (+.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 z x))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 y x))
(fma.f64 y x (*.f64 y z))
(fma.f64 z y (*.f64 y x))
(fma.f64 x y (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 y x))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.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 (sqrt.f64 y)) (sqrt.f64 y) (*.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 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (+.f64 z x)))) (/.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (+.f64 z x)))))
(*.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) x))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) (sqrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (+.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y x) (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (+.f64 z x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 z x) (neg.f64 x)))
(pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (+.f64 z x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 z x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 y z (fma.f64 y x x))
(fma.f64 y (+.f64 z x) x)
(fma.f64 z y (fma.f64 y x x))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (+.f64 z x)))
(fma.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64) x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (+.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z x)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (fma.f64 y x x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 z x)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 z x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (+.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (+.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (fma.f64 y x x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (fma.f64 y x x))
(fma.f64 (sqrt.f64 (+.f64 z x)) (*.f64 (sqrt.f64 (+.f64 z x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (+.f64 z x)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 y x x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 z x)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 y x x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (fma.f64 y x x))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 y x x))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 y x x))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 y x x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 z x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)) x)
(fma.f64 (*.f64 (+.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (+.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (fma.f64 y x x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y x x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y x x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y x x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z)))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z x)))
(*.f64 (+.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z x))
(*.f64 (cbrt.f64 (+.f64 z x)) (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z x)))
(*.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (+.f64 z x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (pow.f64 z #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 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z x) (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 (fma.f64 x (-.f64 x z) (pow.f64 z #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 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x z) (pow.f64 z #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 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 z x)))
(pow.f64 (+.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z x))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(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 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z x)))
(log1p.f64 (expm1.f64 (+.f64 z x)))
(exp.f64 (log.f64 (+.f64 z x)))
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z x)
(fma.f64 #s(literal 1 binary64) x z)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 (*.f64 y (+.f64 z x)) x)
(+.f64 (*.f64 y z) (fma.f64 y x x))
(+.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 z x) x))
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x))) (cbrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (+.f64 z x)))) (/.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (+.f64 z x)))))
(*.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) x))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) (sqrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (+.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y x) (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (+.f64 z x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 z x) (neg.f64 x)))
(pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (+.f64 z x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 z x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z)))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z x)))
(*.f64 (+.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z x))
(*.f64 (cbrt.f64 (+.f64 z x)) (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z x)))
(*.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (+.f64 z x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (pow.f64 z #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 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z x) (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 (fma.f64 x (-.f64 x z) (pow.f64 z #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 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x z) (pow.f64 z #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 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 z x)))
(pow.f64 (+.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z x))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(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 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z x)))
(log1p.f64 (expm1.f64 (+.f64 z x)))
(exp.f64 (log.f64 (+.f64 z x)))
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z x)
(fma.f64 #s(literal 1 binary64) x z)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)

simplify1.4s (7.3%)

Algorithm
egg-herbie
Rules
496×associate-/l*
362×cancel-sign-sub-inv
304×associate-/r*
291×distribute-lft-neg-in
277×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045814233
1110113204
2336013059
Stop Event
node limit
Counts
427 → 256
Calls
Call 1
Inputs
(*.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 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.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 (*.f64 y z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 x (*.f64 x y))
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(*.f64 y z)
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
x
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
z
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z x) (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 (fma.f64 x (-.f64 x z) (pow.f64 z #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 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x z) (pow.f64 z #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 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 z x)))
(pow.f64 (+.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z x))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(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 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z x)))
(log1p.f64 (expm1.f64 (+.f64 z x)))
(exp.f64 (log.f64 (+.f64 z x)))
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z x)
(fma.f64 #s(literal 1 binary64) x z)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 (*.f64 y (+.f64 z x)) x)
(+.f64 (*.f64 y z) (fma.f64 y x x))
(+.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 z x) x))
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x))) (cbrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (+.f64 z x)))) (/.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (+.f64 z x)))))
(*.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) x))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) (sqrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (+.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y x) (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (+.f64 z x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 z x) (neg.f64 x)))
(pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (+.f64 z x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 z x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z)))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z x)))
(*.f64 (+.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z x))
(*.f64 (cbrt.f64 (+.f64 z x)) (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z x)))
(*.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (+.f64 z x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (pow.f64 z #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 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z x) (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 (fma.f64 x (-.f64 x z) (pow.f64 z #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 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x z) (pow.f64 z #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 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 z x)))
(pow.f64 (+.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z x))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(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 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z x)))
(log1p.f64 (expm1.f64 (+.f64 z x)))
(exp.f64 (log.f64 (+.f64 z x)))
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z x)
(fma.f64 #s(literal 1 binary64) x z)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
Outputs
(*.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 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 x y)
(*.f64 y x)
(+.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 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 y 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 y x)
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
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(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(/.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 z x) (pow.f64 x #s(literal 2 binary64)))))
(*.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 z x) (pow.f64 x #s(literal 2 binary64)))))
(/.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 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x z) (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 x (-.f64 x z) (pow.f64 z #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 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 z x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(pow.f64 (+.f64 z x) #s(literal 1 binary64))
(+.f64 x z)
(pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64))
(+.f64 x z)
(pow.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x z)
(pow.f64 (sqrt.f64 (+.f64 z x)) #s(literal 2 binary64))
(+.f64 x z)
(sqrt.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)))
(+.f64 x z)
(log.f64 (exp.f64 (+.f64 z x)))
(+.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z x))))
(+.f64 x z)
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 x z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 x)))
(+.f64 x z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 x z)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(+.f64 x z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 z)))
(+.f64 x z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(+.f64 x z)
(cbrt.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)))
(+.f64 x z)
(expm1.f64 (log1p.f64 (+.f64 z x)))
(expm1.f64 (log1p.f64 (+.f64 x z)))
(+.f64 #s(literal 0 binary64) (+.f64 x z))
(log1p.f64 (expm1.f64 (+.f64 z x)))
(+.f64 x z)
(exp.f64 (log.f64 (+.f64 z x)))
(+.f64 x z)
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) #s(literal 1 binary64)))
(+.f64 x z)
(fma.f64 z #s(literal 1 binary64) x)
(+.f64 x z)
(fma.f64 x #s(literal 1 binary64) z)
(+.f64 x z)
(fma.f64 #s(literal 1 binary64) z x)
(+.f64 x z)
(fma.f64 #s(literal 1 binary64) x z)
(+.f64 x z)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z)
(+.f64 x z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(+.f64 x z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(+.f64 x z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(+.f64 x z)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(+.f64 x z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(+.f64 x z)

eval138.0ms (0.7%)

Compiler

Compiled 3432 to 764 computations (77.7% saved)

prune238.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2506256
Fresh000
Picked022
Done000
Total2508258
Accuracy
100.0%
Counts
258 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y (+.f64 x z) x)
96.5%
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
91.0%
(+.f64 x (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
75.7%
(+.f64 x (*.f64 y z))
60.9%
(+.f64 x (*.f64 y x))
60.9%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
35.8%
x
Compiler

Compiled 127 to 81 computations (36.2% saved)

localize377.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 x (*.f64 y z))
cost-diff0
(*.f64 y z)
cost-diff-6272
(+.f64 x (*.f64 y x))
cost-diff0
(*.f64 y x)
cost-diff-6272
(*.f64 x (+.f64 y #s(literal 1 binary64)))
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff-6272
(+.f64 x (*.f64 y z))
cost-diff-6144
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 y z)
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(+.f64 x (*.f64 y z))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(+.f64 x (*.f64 y x))
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(+.f64 x (*.f64 y z))
accuracy96.6%
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
Rules
66×fma-define
associate-*r*
associate-*l*
+-commutative
*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017229
137210
257206
386206
4105206
5119206
6137206
7144206
8145206
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
(+.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 y x)
x
(*.f64 x (+.f64 y #s(literal 1 binary64)))
x
(+.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(+.f64 x (*.f64 y x))
x
(*.f64 y x)
y
(+.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
Outputs
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 x y))
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
x
(*.f64 y z)
y
z
(*.f64 y x)
(*.f64 x y)
x
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
x
(+.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(+.f64 x (*.f64 y x))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
x
(*.f64 y x)
(*.f64 x y)
y
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
x
(*.f64 y z)
y
z
Results
112.0ms256×0valid
Compiler

Compiled 60 to 12 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 10.0ms (51% of total)
ival-add: 9.0ms (45.9% of total)
const: 1.0ms (5.1% of total)
backward-pass: 0.0ms (0% of total)

series56.0ms (0.3%)

Counts
7 → 147
Calls
Call 1
Inputs
#<alt (+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (*.f64 y x)>
#<alt (*.f64 y z)>
#<alt (*.f64 x (+.f64 y #s(literal 1 binary64)))>
#<alt (+.f64 y #s(literal 1 binary64))>
#<alt (+.f64 x (*.f64 y x))>
Outputs
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<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 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 y z)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt x>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 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 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt x>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
Calls

45 calls:

TimeVariablePointExpression
16.0ms
x
@0
(+ x (* y x))
12.0ms
y
@inf
(+ x (* y z))
3.0ms
y
@0
(* x (+ y 1))
1.0ms
x
@0
(* x (+ y 1))
1.0ms
x
@0
(+ (+ x (* y z)) (* y x))

rewrite788.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
903×fma-define
835×log1p-expm1-u
835×expm1-log1p-u
416×fma-neg
205×log1p-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017136
1257121
23624117
Stop Event
node limit
Counts
7 → 335
Calls
Call 1
Inputs
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
(+.f64 x (*.f64 y z))
(*.f64 y x)
(*.f64 y z)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
(+.f64 x (*.f64 y x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (fma.f64 y z (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y z (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) x))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) (sqrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (fma.f64 y z x)) (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (fma.f64 y z x)) (pow.f64 (fma.f64 y z x) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z (*.f64 x (-.f64 #s(literal 1 binary64) y))) (-.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (fma.f64 y z x)) (pow.f64 (fma.f64 y z x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (*.f64 (fma.f64 y z x) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 y z (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (fma.f64 y z x)) (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y z (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y (+.f64 z x)) (*.f64 y (+.f64 z x))) (*.f64 x (*.f64 y (+.f64 z x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 z x)) (*.f64 y (+.f64 z x)))) (-.f64 x (*.f64 y (+.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 y z x) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (fma.f64 y z x)))
(pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 z x) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 x y (fma.f64 y z x))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (+.f64 z x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y x (fma.f64 y z x))
(fma.f64 y z (fma.f64 x y x))
(fma.f64 y (+.f64 z x) x)
(fma.f64 z y (fma.f64 x y x))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (fma.f64 x y x))
(fma.f64 (fma.f64 y z x) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (fma.f64 y z x))
(fma.f64 #s(literal 1 binary64) x (*.f64 y (+.f64 z x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (fma.f64 x y x))
(fma.f64 #s(literal 1 binary64) (fma.f64 y z x) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (fma.f64 y z x))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y x) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z x)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x (*.f64 y z))
(fma.f64 (fma.f64 x y x) #s(literal 1 binary64) (*.f64 y z))
(fma.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y x)) (*.f64 y z))
(fma.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y z x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 x y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (fma.f64 x y x))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (fma.f64 y z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (fma.f64 y z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (fma.f64 x y x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (+.f64 z x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (+.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 y (+.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (fma.f64 y z x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (fma.f64 y z x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (fma.f64 x y x))
(fma.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)) (*.f64 y z))
(fma.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) x) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 x y x))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (fma.f64 y z x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 x y x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (+.f64 z x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 y (+.f64 z x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal 1 binary64))) (*.f64 y z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (fma.f64 y z x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (fma.f64 y z x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 x y x))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y z))
(fma.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 y z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (cbrt.f64 (*.f64 y (+.f64 z x)))) (cbrt.f64 (*.f64 y (+.f64 z x))) x)
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 y z))
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y z x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y z x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y z x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y z x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (fma.f64 x y x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x y x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 x y x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x y x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 x (*.f64 y z))))
(*.f64 (fma.f64 y z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y z x))
(*.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y z x)))
(*.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 x (*.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y z) x))
(pow.f64 (fma.f64 y z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z x))))
(cbrt.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y z x)))
(log1p.f64 (expm1.f64 (fma.f64 y z x)))
(exp.f64 (log.f64 (fma.f64 y z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y z x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y z x)
(fma.f64 z y x)
(fma.f64 (*.f64 y z) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) x)
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) x)
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) x)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) x)
(-.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 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 x y) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x y) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal -1 binary64)))
(pow.f64 (fma.f64 x y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y x))))
(cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y x x)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 y))
(exp.f64 (*.f64 (log1p.f64 y) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 x y x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x y) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal -1 binary64)))
(pow.f64 (fma.f64 x y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y x))))
(cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y x x)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)

simplify918.0ms (4.8%)

Algorithm
egg-herbie
Rules
770×distribute-lft-in
615×cancel-sign-sub-inv
386×fma-neg
384×distribute-lft-neg-in
354×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058114459
1134113526
2378613319
Stop Event
node limit
Counts
482 → 364
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x y) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal -1 binary64)))
(pow.f64 (fma.f64 x y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y x))))
(cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y x x)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
Outputs
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 z x) x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 y (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 y (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 y (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) y)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) y)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) y)) (neg.f64 x))
x
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 z x) x)
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 z x) x)
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 z x) x)
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 z x) (/.f64 x y)))
(*.f64 y (+.f64 z (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (/.f64 x y) (+.f64 z x)))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 z x) (/.f64 x y)))
(*.f64 y (+.f64 z (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (/.f64 x y) (+.f64 z x)))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 z x) (/.f64 x y)))
(*.f64 y (+.f64 z (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (/.f64 x y) (+.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (+.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
(*.f64 y (+.f64 (+.f64 z x) (/.f64 x y)))
(*.f64 y (+.f64 z (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (/.f64 x y) (+.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
(*.f64 y (+.f64 (+.f64 z x) (/.f64 x y)))
(*.f64 y (+.f64 z (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (/.f64 x y) (+.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
(*.f64 y (+.f64 (+.f64 z x) (/.f64 x y)))
(*.f64 y (+.f64 z (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (/.f64 x y) (+.f64 z x)))
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 z x) x)
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 z x) x)
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 z x) x)
(*.f64 y z)
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 (+.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z))))
(*.f64 z (+.f64 y (fma.f64 x (/.f64 y z) (/.f64 x z))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 (+.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z))))
(*.f64 z (+.f64 y (fma.f64 x (/.f64 y z) (/.f64 x z))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 (+.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z))))
(*.f64 z (+.f64 y (fma.f64 x (/.f64 y z) (/.f64 x z))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (fma.f64 y x x) z))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (*.f64 x (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64))) z) y))
(*.f64 z (+.f64 y (/.f64 (fma.f64 y x x) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (fma.f64 y x x) z))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (*.f64 x (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64))) z) y))
(*.f64 z (+.f64 y (/.f64 (fma.f64 y x x) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (fma.f64 y x x) z))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (*.f64 x (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64))) z) y))
(*.f64 z (+.f64 y (/.f64 (fma.f64 y x x) z)))
(*.f64 y z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (*.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (*.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (*.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)))
x
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
x
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal -1 binary64)))
(*.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(pow.f64 (fma.f64 x y x) #s(literal 1 binary64))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 3 binary64))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(log.f64 (exp.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y x))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 y x x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)

eval180.0ms (0.9%)

Compiler

Compiled 5668 to 856 computations (84.9% saved)

prune312.0ms (1.6%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New4534457
Fresh011
Picked055
Done202
Total45510465
Accuracy
100.0%
Counts
465 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.7%
(fma.f64 z y x)
96.5%
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
91.0%
(+.f64 x (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
75.7%
(+.f64 x (*.f64 y z))
60.9%
(+.f64 x (*.f64 y x))
65.8%
(*.f64 y (+.f64 z x))
41.7%
(*.f64 y z)
60.9%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
28.0%
(*.f64 x y)
35.8%
x
Compiler

Compiled 122 to 78 computations (36.1% saved)

localize882.0ms (4.6%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 z y x)
cost-diff0
(+.f64 z x)
cost-diff0
(*.f64 y (+.f64 z x))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 z x)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 z x))
cost-diff256
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
cost-diff256
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))
accuracy100.0%
(fma.f64 z y x)
accuracy100.0%
(+.f64 z x)
accuracy100.0%
(*.f64 y (+.f64 z x))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 z x))
accuracy100.0%
(+.f64 x (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
accuracy100.0%
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))
accuracy85.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
Rules
1032×fma-define
643×cube-prod
572×distribute-rgt-out
408×associate-/r/
406×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021305
146301
289296
3223226
4431226
5667226
61164226
72402226
83398226
94470226
105640226
116317226
126799226
137475226
147778226
157931226
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
x
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))
y
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(+.f64 #s(literal 1 binary64) (/.f64 z x))
#s(literal 1 binary64)
(/.f64 z x)
z
(*.f64 x y)
x
y
(*.f64 y z)
y
z
(*.f64 y (+.f64 z x))
y
(+.f64 z x)
z
x
(fma.f64 z y x)
z
y
x
Outputs
(+.f64 x (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(fma.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) x)
(fma.f64 y (fma.f64 x (/.f64 z x) x) x)
(fma.f64 y (+.f64 x z) x)
x
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 y (fma.f64 x (/.f64 z x) x))
(*.f64 y (+.f64 x z))
y
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(fma.f64 x (/.f64 z x) x)
(+.f64 x z)
(+.f64 #s(literal 1 binary64) (/.f64 z x))
#s(literal 1 binary64)
(/.f64 z x)
z
(*.f64 x y)
x
y
(*.f64 y z)
y
z
(*.f64 y (+.f64 z x))
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 y (fma.f64 x (/.f64 z x) x))
(*.f64 y (+.f64 x z))
y
(+.f64 z x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(fma.f64 x (/.f64 z x) x)
(+.f64 x z)
z
x
(fma.f64 z y x)
(fma.f64 y z x)
z
y
x
Results
192.0ms256×0valid
Compiler

Compiled 71 to 15 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-fma: 38.0ms (56.9% of total)
ival-mult: 17.0ms (25.4% of total)
ival-add: 7.0ms (10.5% of total)
ival-div: 4.0ms (6% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series100.0ms (0.5%)

Counts
7 → 144
Calls
Call 1
Inputs
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (+.f64 x (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 z x))>
#<alt (*.f64 x y)>
#<alt (fma.f64 z y x)>
#<alt (/.f64 z x)>
Outputs
#<alt z>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt x>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.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 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.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 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x y)>
#<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 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))>
#<alt (+.f64 x (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))>
#<alt (+.f64 x (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 x y)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 z x)>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 z x)>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 z x)>
#<alt (/.f64 (+.f64 x z) x)>
#<alt (/.f64 (+.f64 x z) x)>
#<alt (/.f64 (+.f64 x z) x)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt x>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
Calls

51 calls:

TimeVariablePointExpression
32.0ms
y
@inf
(+ x (* y (* x (+ 1 (/ z x)))))
17.0ms
x
@-inf
(* y (* x (+ 1 (/ z x))))
13.0ms
z
@-inf
(+ x (* y (* x (+ 1 (/ z x)))))
9.0ms
z
@0
(+ x (* y (* x (+ 1 (/ z x)))))
2.0ms
y
@0
(* y (* x (+ 1 (/ z x))))

rewrite733.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
802×log1p-expm1-u
802×expm1-log1p-u
608×fma-define
248×fma-neg
211×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018174
1247170
23525167
Stop Event
node limit
Counts
7 → 339
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(+.f64 x (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(+.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 x y)
(fma.f64 z y x)
(/.f64 z x)
Outputs
(+.f64 x (*.f64 x (/.f64 z x)))
(+.f64 x (*.f64 (*.f64 x (/.f64 z x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 z x)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 z x) x))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 z x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (/.f64 z x)) (*.f64 x (/.f64 z x))) (*.f64 x (*.f64 x (/.f64 z x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 z x)) (*.f64 x (/.f64 z x)))) (-.f64 x (*.f64 x (/.f64 z x))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64)))) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) x) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(pow.f64 (fma.f64 x (/.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 z x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 z x) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 x (/.f64 z x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (/.f64 z x))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (*.f64 x (/.f64 z x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 z x) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 z x) x)))
(exp.f64 (+.f64 (log1p.f64 (/.f64 z x)) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 z x)) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 z x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 z x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z x)) x)
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(fma.f64 (/.f64 z x) x x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 z x)) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (/.f64 z x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 x (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 z x)) (*.f64 (sqrt.f64 (/.f64 z x)) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 z x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z x)) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 z x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 z x))) (cbrt.f64 (*.f64 x (/.f64 z x)))) (cbrt.f64 (*.f64 x (/.f64 z x))) x)
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 z x))) (sqrt.f64 (*.f64 x (/.f64 z x))) x)
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 z x))) x)
(fma.f64 (*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 x)) x)
(fma.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) x)
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)) x)
(fma.f64 (*.f64 (/.f64 z x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 (/.f64 z x) (sqrt.f64 x)) (sqrt.f64 x) x)
(+.f64 (*.f64 x y) (*.f64 y (*.f64 x (/.f64 z x))))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x y) (/.f64 z x)))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x (/.f64 z x)) y))
(+.f64 (*.f64 x y) (*.f64 (/.f64 z x) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 x y) (/.f64 z x)) (*.f64 x y))
(+.f64 (*.f64 (/.f64 z x) (*.f64 x y)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64)))) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(pow.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x (/.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y)))
(exp.f64 (+.f64 (log.f64 (*.f64 x y)) (log1p.f64 (/.f64 z x))))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 x y)) (log1p.f64 (/.f64 z x))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 y (*.f64 x (/.f64 z x))))
(fma.f64 x y (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 x y (*.f64 (*.f64 x (/.f64 z x)) y))
(fma.f64 x y (*.f64 (/.f64 z x) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y (*.f64 x (/.f64 z x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 x (/.f64 z x)) y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (/.f64 z x) (*.f64 x y)))
(fma.f64 (/.f64 z x) (*.f64 x y) (*.f64 x y))
(fma.f64 y x (*.f64 y (*.f64 x (/.f64 z x))))
(fma.f64 y x (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 y x (*.f64 (*.f64 x (/.f64 z x)) y))
(fma.f64 y x (*.f64 (/.f64 z x) (*.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 y (*.f64 x (/.f64 z x))))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 z x)) y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (/.f64 z x) (*.f64 x y)))
(fma.f64 (*.f64 x y) (/.f64 z x) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (/.f64 z x))))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 z x)) y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (/.f64 z x) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y (*.f64 x (/.f64 z x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (*.f64 x (/.f64 z x)) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (/.f64 z x) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y (*.f64 x (/.f64 z x))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 x (/.f64 z x)) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (/.f64 z x) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y (*.f64 x (/.f64 z x))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (*.f64 x (/.f64 z x)) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (/.f64 z x) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y (*.f64 x (/.f64 z x))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 x (/.f64 z x)) y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (/.f64 z x) (*.f64 x y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x (/.f64 z x))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 x (/.f64 z x)) y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (/.f64 z x) (*.f64 x y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y (*.f64 x (/.f64 z x))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 x (/.f64 z x)) y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (/.f64 z x) (*.f64 x y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (*.f64 x (/.f64 z x))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 x y) (/.f64 z x)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 x (/.f64 z x)) y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (/.f64 z x) (*.f64 x y)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y x)))
(*.f64 (sqrt.f64 (fma.f64 z y x)) (sqrt.f64 (fma.f64 z y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (*.f64 z y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z y) x))))
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z y) x))
(pow.f64 (fma.f64 z y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z y x))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 z y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 z y))))
(log.f64 (*.f64 (exp.f64 (*.f64 z y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z y x)))
(log1p.f64 (expm1.f64 (fma.f64 z y x)))
(exp.f64 (log.f64 (fma.f64 z y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z y x)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 z) x))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 z x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal -1 binary64))

simplify710.0ms (3.7%)

Algorithm
egg-herbie
Rules
498×distribute-lft-neg-in
466×distribute-rgt-neg-in
464×fma-neg
370×associate-*r*
329×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068415171
1159611845
2492511836
Stop Event
node limit
Counts
483 → 437
Calls
Call 1
Inputs
z
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
x
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
x
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.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 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.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 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.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 z x))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.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 z x))))
(*.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 (*.f64 y z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(+.f64 x (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(+.f64 x (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))
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(*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 x y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
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(+.f64 x (*.f64 x y))
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
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(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(*.f64 y z)
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
#s(literal 1 binary64)
(/.f64 z x)
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(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
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(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 z x)
(/.f64 (+.f64 x z) x)
(/.f64 (+.f64 x z) x)
(/.f64 (+.f64 x z) x)
#s(literal 1 binary64)
#s(literal 1 binary64)
x
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y z))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
x
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y z))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y z)
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y z))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(+.f64 x (*.f64 x (/.f64 z x)))
(+.f64 x (*.f64 (*.f64 x (/.f64 z x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 z x)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 z x) x))) #s(literal 1 binary64))
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(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64)))) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) x) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(pow.f64 (fma.f64 x (/.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 z x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 z x) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 x (/.f64 z x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (/.f64 z x))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (*.f64 x (/.f64 z x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 z x) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 z x) x)))
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(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 x (/.f64 z x) x) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (/.f64 z x) x) y) x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (*.f64 x y) x)
(fma.f64 (fma.f64 x (/.f64 z x) x) y x)
(fma.f64 y (fma.f64 x (/.f64 z x) x) x)
(fma.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y) #s(literal 1 binary64) x)
(fma.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(fma.f64 (cbrt.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y)) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z x) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x (/.f64 z x) x)) y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 x (/.f64 z x) x) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (fma.f64 x (/.f64 z x) x) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (/.f64 z x) x) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (fma.f64 x (/.f64 z x) x)) x)
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y)) (sqrt.f64 (*.f64 (fma.f64 x (/.f64 z x) x) y)) x)
(fma.f64 (sqrt.f64 (fma.f64 x (/.f64 z x) x)) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 z x) x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 x (/.f64 z x) x) y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (/.f64 z x) x) y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (fma.f64 x (/.f64 z x) x)) x)
(fma.f64 (*.f64 (fma.f64 x (/.f64 z x) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (fma.f64 x (/.f64 z x) x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))) x x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 z x) x)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x (/.f64 z x) x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (fma.f64 x (/.f64 z x) x))) (sqrt.f64 (fma.f64 x (/.f64 z x) x)) x)
(fma.f64 (*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) x)
(fma.f64 (*.f64 (*.f64 x y) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 z x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(exp.f64 (log1p.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 z x) #s(literal 1 binary64))
(fma.f64 z (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 z x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) z #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)) #s(literal 1 binary64))
(-.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))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 x (*.f64 z y))
(+.f64 (*.f64 z y) x)
(+.f64 (*.f64 (*.f64 z y) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z y x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z y x))
(*.f64 (fma.f64 z y x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z y x)) (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y x)))
(*.f64 (sqrt.f64 (fma.f64 z y x)) (sqrt.f64 (fma.f64 z y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (*.f64 z y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z y) x))))
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z y) x))
(pow.f64 (fma.f64 z y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z y x))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 z y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 z y))))
(log.f64 (*.f64 (exp.f64 (*.f64 z y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z y x)))
(log1p.f64 (expm1.f64 (fma.f64 z y x)))
(exp.f64 (log.f64 (fma.f64 z y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z y x)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 z) x))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 z x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal -1 binary64))
Outputs
z
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
x
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(+.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(+.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(+.f64 z x)
x
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 (*.f64 x y) (+.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 y (+.f64 z x))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 (*.f64 x y) (+.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 y (+.f64 z x))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 (*.f64 x y) (+.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 y (+.f64 z x))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))
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(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) z #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (/.f64 z x)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.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)
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 x) y))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 x y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.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)
(+.f64 x (*.f64 z y))
(fma.f64 z y x)
(+.f64 (*.f64 z y) x)
(fma.f64 z y x)
(+.f64 (*.f64 (*.f64 z y) #s(literal 1 binary64)) x)
(fma.f64 z y x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z y x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 z y x)))
(*.f64 #s(literal 1 binary64) (fma.f64 z y x))
(fma.f64 z y x)
(*.f64 (fma.f64 z y x) #s(literal 1 binary64))
(fma.f64 z y x)
(*.f64 (cbrt.f64 (fma.f64 z y x)) (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)))
(fma.f64 z y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y x)))
(fma.f64 z y x)
(*.f64 (sqrt.f64 (fma.f64 z y x)) (sqrt.f64 (fma.f64 z y x)))
(fma.f64 z y x)
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (*.f64 z y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z y) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (*.f64 z y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 z (*.f64 y (*.f64 z y)) (*.f64 x (-.f64 x (*.f64 z y)))))
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z y) x))
(/.f64 (-.f64 (*.f64 z (*.f64 y (*.f64 z y))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z y) x))
(/.f64 (*.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) (fma.f64 z y (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
(pow.f64 (fma.f64 z y x) #s(literal 1 binary64))
(fma.f64 z y x)
(pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 3 binary64))
(fma.f64 z y x)
(pow.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 z y x)
(pow.f64 (sqrt.f64 (fma.f64 z y x)) #s(literal 2 binary64))
(fma.f64 z y x)
(sqrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)))
(fma.f64 z y x)
(log.f64 (exp.f64 (fma.f64 z y x)))
(fma.f64 z y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z y x))))
(fma.f64 z y x)
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 z y))))
(fma.f64 z y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 z y))))
(fma.f64 z y x)
(log.f64 (*.f64 (exp.f64 (*.f64 z y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 z y x)
(cbrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)))
(fma.f64 z y x)
(expm1.f64 (log1p.f64 (fma.f64 z y x)))
(log1p.f64 (expm1.f64 (fma.f64 z y x)))
(fma.f64 z y x)
(exp.f64 (log.f64 (fma.f64 z y x)))
(fma.f64 z y x)
(exp.f64 (*.f64 (log.f64 (fma.f64 z y x)) #s(literal 1 binary64)))
(fma.f64 z y x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 1 binary64))
(/.f64 z x)
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 z x)
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(/.f64 z x)
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 z x)
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(/.f64 z x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(/.f64 z x)
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(/.f64 z x)
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(/.f64 z x)
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(/.f64 z x)
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 z x)
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 z x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(/.f64 (/.f64 z (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(/.f64 z x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (cbrt.f64 (/.f64 z x)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(/.f64 z x)
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(/.f64 (/.f64 z (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 z x)
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(/.f64 z x)
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 z x)
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(/.f64 z x)
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(/.f64 z x)
(neg.f64 (/.f64 z (neg.f64 x)))
(/.f64 z x)
(neg.f64 (/.f64 (neg.f64 z) x))
(/.f64 z x)
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(/.f64 z x)
(log.f64 (exp.f64 (/.f64 z x)))
(/.f64 z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(/.f64 z x)
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)))
(/.f64 z x)
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 z x)) #s(literal 1 binary64)))
(/.f64 z x)
(log1p.f64 (expm1.f64 (/.f64 z x)))
(/.f64 z x)
(exp.f64 (log.f64 (/.f64 z x)))
(/.f64 z x)
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(/.f64 z x)
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal -1 binary64))
(/.f64 z x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 z x)
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 z x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal -1 binary64))
(/.f64 z x)
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal -1 binary64))
(/.f64 z x)
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) (+.f64 (/.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (fma.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 z x))))

eval749.0ms (3.9%)

Compiler

Compiled 8520 to 1767 computations (79.3% saved)

prune318.0ms (1.7%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New5992601
Fresh000
Picked145
Done145
Total60110611
Accuracy
100.0%
Counts
611 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.7%
(fma.f64 z y x)
62.3%
(+.f64 (*.f64 y z) (*.f64 y x))
75.7%
(+.f64 x (*.f64 y z))
60.9%
(+.f64 x (*.f64 y x))
65.8%
(*.f64 y (+.f64 z x))
56.9%
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))
41.7%
(*.f64 y z)
60.9%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
28.0%
(*.f64 x y)
35.8%
x
Compiler

Compiled 77 to 50 computations (35.1% saved)

localize623.0ms (3.3%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 y z)
cost-diff128
(+.f64 (*.f64 y z) (*.f64 y x))
cost-diff0
(/.f64 z x)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 z x))
cost-diff256
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
cost-diff256
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 y x)
accuracy96.6%
(+.f64 (*.f64 y z) (*.f64 y x))
accuracy100.0%
(/.f64 z x)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 z x))
accuracy100.0%
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))
accuracy85.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
Rules
1925×fma-define
645×cube-prod
414×associate-/r/
384×*-commutative
317×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017185
140185
281182
3176140
4297140
5444140
6864140
71992140
82876140
93697140
104648140
114991140
125438140
136090140
146393140
156545140
167932140
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))
y
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(+.f64 #s(literal 1 binary64) (/.f64 z x))
#s(literal 1 binary64)
(/.f64 z x)
z
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y z)
y
z
(*.f64 y x)
x
Outputs
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 y (fma.f64 x (/.f64 z x) x))
(*.f64 y (+.f64 x z))
y
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(fma.f64 x (/.f64 z x) x)
(+.f64 x z)
x
(+.f64 #s(literal 1 binary64) (/.f64 z x))
#s(literal 1 binary64)
(/.f64 z x)
z
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 y (fma.f64 x (/.f64 z x) x))
(*.f64 y (+.f64 x z))
(*.f64 y z)
y
z
(*.f64 y x)
x
Results
78.0ms256×0valid
Compiler

Compiled 48 to 12 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 28.0ms (76.2% of total)
ival-div: 4.0ms (10.9% of total)
ival-add: 4.0ms (10.9% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0%)

Counts
1 → 36
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 y z) (*.f64 y x))>
Outputs
#<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 x y)>
#<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 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.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 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.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 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
Calls

9 calls:

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

rewrite234.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
688×unpow-prod-down
679×log1p-expm1-u
679×expm1-log1p-u
366×log-prod
344×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
114022
2186222
Stop Event
node limit
Counts
1 → 96
Calls
Call 1
Inputs
(+.f64 (*.f64 y z) (*.f64 y x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 z x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(*.f64 y (+.f64 z x))
(*.f64 y (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64)))
(*.f64 y (pow.f64 (sqrt.f64 (+.f64 z x)) #s(literal 2 binary64)))
(*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))
(*.f64 (*.f64 y (+.f64 z x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z x)))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 z x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 y) (+.f64 z x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 z x)))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 (sqrt.f64 y) (+.f64 z x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x))) #s(literal 1 binary64)))
(*.f64 (+.f64 z x) y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 y (+.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y (+.f64 z x))))
(*.f64 (pow.f64 (*.f64 (*.f64 y (+.f64 z x)) (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (*.f64 y (+.f64 z x)) (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) y) #s(literal 1/3 binary64)) (pow.f64 (+.f64 z x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 z x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 y (-.f64 z x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 y z)))
(pow.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (-.f64 z x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 z) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 z x))))
(exp.f64 (log.f64 (*.f64 y (+.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 z x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)))
(fma.f64 y z (*.f64 y x))
(fma.f64 y x (*.f64 y z))
(fma.f64 z y (*.f64 y x))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y (*.f64 y z))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 y x))
(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))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.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 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))

simplify425.0ms (2.2%)

Algorithm
egg-herbie
Rules
671×times-frac
453×fma-define
321×exp-prod
308×associate-/l*
277×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02704293
16434182
217344153
371454122
Stop Event
node limit
Counts
132 → 120
Calls
Call 1
Inputs
(*.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 x y)
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.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 (*.f64 y z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 z x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(*.f64 y (+.f64 z x))
(*.f64 y (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64)))
(*.f64 y (pow.f64 (sqrt.f64 (+.f64 z x)) #s(literal 2 binary64)))
(*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))
(*.f64 (*.f64 y (+.f64 z x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z x)))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 z x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 y) (+.f64 z x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 z x)))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 (sqrt.f64 y) (+.f64 z x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x))) #s(literal 1 binary64)))
(*.f64 (+.f64 z x) y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 y (+.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y (+.f64 z x))))
(*.f64 (pow.f64 (*.f64 (*.f64 y (+.f64 z x)) (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (*.f64 y (+.f64 z x)) (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) y) #s(literal 1/3 binary64)) (pow.f64 (+.f64 z x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 z x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 y (-.f64 z x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 y z)))
(pow.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (-.f64 z x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 z) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 z x))))
(exp.f64 (log.f64 (*.f64 y (+.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 z x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)))
(fma.f64 y z (*.f64 y x))
(fma.f64 y x (*.f64 y z))
(fma.f64 z y (*.f64 y x))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y (*.f64 y z))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 y x))
(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))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.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 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))
Outputs
(*.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 x y)
(*.f64 y x)
(+.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 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 y x) z)))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (fma.f64 y (/.f64 x z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 y x) z)))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (fma.f64 y (/.f64 x z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 y x) z)))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (fma.f64 y (/.f64 x z) y))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y x) z)))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (fma.f64 y (/.f64 x z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y x) z)))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (fma.f64 y (/.f64 x z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y x) z)))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (fma.f64 y (/.f64 x z) y))
(*.f64 y 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 y x)
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 z x)))) #s(literal 1 binary64))
(*.f64 y (+.f64 x z))
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 y (-.f64 z x)))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64)))
(*.f64 y (+.f64 x z))
(*.f64 y (pow.f64 (sqrt.f64 (+.f64 z x)) #s(literal 2 binary64)))
(*.f64 y (+.f64 x z))
(*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))
(*.f64 y (+.f64 x z))
(*.f64 (*.f64 y (+.f64 z x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y (+.f64 x z))
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z x)))
(*.f64 y (+.f64 x z))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)))
(*.f64 y (+.f64 x z))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 y (+.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 z x))))
(*.f64 y (+.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)))
(*.f64 y (+.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 z x)))
(*.f64 y (+.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 y) (+.f64 z x)) #s(literal 1 binary64)))
(*.f64 y (+.f64 x z))
(*.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))))
(*.f64 y (+.f64 x z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 z x)))
(*.f64 y (+.f64 x z))
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(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))
(*.f64 y (+.f64 x z))

eval361.0ms (1.9%)

Compiler

Compiled 5964 to 1158 computations (80.6% saved)

prune364.0ms (1.9%)

Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New4360436
Fresh000
Picked022
Done088
Total43610446
Accuracy
100.0%
Counts
446 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.7%
(fma.f64 z y x)
62.3%
(+.f64 (*.f64 y z) (*.f64 y x))
75.7%
(+.f64 x (*.f64 y z))
60.9%
(+.f64 x (*.f64 y x))
65.8%
(*.f64 y (+.f64 z x))
56.9%
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))
41.7%
(*.f64 y z)
60.9%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
28.0%
(*.f64 x y)
35.8%
x
Compiler

Compiled 160 to 74 computations (53.8% saved)

regimes98.0ms (0.5%)

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

4 calls:

36.0ms
x
26.0ms
z
23.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
10.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes70.0ms (0.4%)

Counts
13 → 1
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 y z)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 z x))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
(+.f64 x (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(fma.f64 z y x)
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
Calls

4 calls:

24.0ms
x
20.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
15.0ms
y
9.0ms
z
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes75.0ms (0.4%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 y z)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 z x))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 y z))
Outputs
(*.f64 y (+.f64 z x))
(+.f64 x (*.f64 y z))
(*.f64 y (+.f64 z x))
Calls

3 calls:

45.0ms
z
24.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
86.2%3x
99.3%3y
91.0%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes34.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 y z)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 z x))
(+.f64 x (*.f64 y x))
Outputs
(*.f64 y (+.f64 z x))
(+.f64 x (*.f64 y x))
(*.f64 y (+.f64 z x))
Calls

2 calls:

29.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
84.6%3z
86.8%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes17.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 y z)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 z x))
Outputs
(*.f64 y (+.f64 z x))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 z x))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
86.8%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.2%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 y z)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
Outputs
(*.f64 y z)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y z)
Calls

3 calls:

20.0ms
z
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
78.4%3z
76.9%3x
66.1%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

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

3 calls:

4.0ms
z
4.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
67.2%4y
57.7%3x
64.3%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes40.0ms (0.2%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
Outputs
(*.f64 x y)
x
(*.f64 x y)
Calls

2 calls:

37.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
39.6%3z
60.3%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes20.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

15.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
35.8%1z
35.8%1x
35.8%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch102.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
58.0ms
1.1916814189160442e-15
3.947525306586353e-7
40.0ms
-262781872957280.34
-3.416059457245307e-10
Results
65.0ms320×0valid
Compiler

Compiled 376 to 251 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-add: 26.0ms (82.1% of total)
ival-mult: 5.0ms (15.8% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch64.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
55.0ms
1.1916814189160442e-15
3.947525306586353e-7
6.0ms
-3.416059457245307e-10
-2.5935409683608503e-10
Results
32.0ms192×0valid
Compiler

Compiled 232 to 155 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 18.0ms (80% of total)
ival-add: 4.0ms (17.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch57.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
39.0ms
1.1916814189160442e-15
3.947525306586353e-7
6.0ms
-3.416059457245307e-10
-2.5935409683608503e-10
Results
36.0ms192×0valid
Compiler

Compiled 232 to 167 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 12.0ms (81.9% of total)
ival-mult: 2.0ms (13.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch74.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
2.720112578473958e-63
2.7399949754711558e-55
23.0ms
-0.215203191032383
-0.002353964898616911
Results
53.0ms256×0valid
Compiler

Compiled 272 to 203 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 4.0ms (49.6% of total)
ival-mult: 3.0ms (37.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch193.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
50.0ms
7.543592327954764e+43
1.154388030503675e+50
27.0ms
1.1916814189160442e-15
3.947525306586353e-7
113.0ms
-3.416059457245307e-10
-2.5935409683608503e-10
Results
156.0ms336×0valid
Compiler

Compiled 286 to 209 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-add: 25.0ms (84.1% of total)
ival-mult: 4.0ms (13.5% of total)
const: 1.0ms (3.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch54.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
34.0ms
744.5982184729239
21575855.52618781
17.0ms
-3.416059457245307e-10
-2.5935409683608503e-10
Results
26.0ms176×0valid
Compiler

Compiled 148 to 110 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 13.0ms (75.4% of total)
ival-add: 4.0ms (23.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify49.0ms (0.3%)

Algorithm
egg-herbie
Rules
10×if-if-or-not
+-commutative
*-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061474
194474
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 7366891713276647/18889465931478580854784 binary64)) (+.f64 x (*.f64 y z)) (*.f64 y (+.f64 z x))))
(if (<=.f64 y #s(literal -6576556458703583/19342813113834066795298816 binary64)) (*.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 1662273001970115/302231454903657293676544 binary64)) (+.f64 x (*.f64 y x)) (*.f64 y (+.f64 z x))))
(if (<=.f64 y #s(literal -6576556458703583/19342813113834066795298816 binary64)) (*.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 3929008913747545/604462909807314587353088 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y (+.f64 z x))))
(if (<=.f64 z #s(literal -7566047373982433/36028797018963968 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 379596049073481/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y z)))
(if (<=.f64 y #s(literal -3191564163782621/9671406556917033397649408 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 4835703278458517/4835703278458516698824704 binary64)) x (if (<=.f64 y #s(literal 229999999999999985745652375985520882829129416704 binary64)) (*.f64 y z) (*.f64 x y))))
(if (<=.f64 y #s(literal -6576556458703583/19342813113834066795298816 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 750 binary64)) x (*.f64 x y)))
x
Outputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 7366891713276647/18889465931478580854784 binary64)) (+.f64 x (*.f64 y z)) (*.f64 y (+.f64 z x))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 7366891713276647/18889465931478580854784 binary64)))) (*.f64 y (+.f64 x z)) (+.f64 x (*.f64 y z)))
(if (<=.f64 y #s(literal -6576556458703583/19342813113834066795298816 binary64)) (*.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 1662273001970115/302231454903657293676544 binary64)) (+.f64 x (*.f64 y x)) (*.f64 y (+.f64 z x))))
(if (or (<=.f64 y #s(literal -6576556458703583/19342813113834066795298816 binary64)) (not (<=.f64 y #s(literal 1662273001970115/302231454903657293676544 binary64)))) (*.f64 y (+.f64 x z)) (+.f64 x (*.f64 y x)))
(if (<=.f64 y #s(literal -6576556458703583/19342813113834066795298816 binary64)) (*.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 3929008913747545/604462909807314587353088 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y (+.f64 z x))))
(if (or (<=.f64 y #s(literal -6576556458703583/19342813113834066795298816 binary64)) (not (<=.f64 y #s(literal 3929008913747545/604462909807314587353088 binary64)))) (*.f64 y (+.f64 x z)) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -7566047373982433/36028797018963968 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 379596049073481/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y z)))
(if (or (<=.f64 z #s(literal -7566047373982433/36028797018963968 binary64)) (not (<=.f64 z #s(literal 379596049073481/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)))) (*.f64 y z) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -3191564163782621/9671406556917033397649408 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 4835703278458517/4835703278458516698824704 binary64)) x (if (<=.f64 y #s(literal 229999999999999985745652375985520882829129416704 binary64)) (*.f64 y z) (*.f64 x y))))
(if (<=.f64 y #s(literal -3191564163782621/9671406556917033397649408 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 4835703278458517/4835703278458516698824704 binary64)) x (if (<=.f64 y #s(literal 229999999999999985745652375985520882829129416704 binary64)) (*.f64 y z) (*.f64 y x))))
(if (<=.f64 y #s(literal -6576556458703583/19342813113834066795298816 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 750 binary64)) x (*.f64 x y)))
(if (or (<=.f64 y #s(literal -6576556458703583/19342813113834066795298816 binary64)) (not (<=.f64 y #s(literal 750 binary64)))) (*.f64 y x) x)
x

soundness2.6s (13.8%)

Rules
994×fma-neg
977×log1p-expm1-u
977×expm1-log1p-u
770×distribute-lft-in
615×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045814233
1110113204
2336013059
058114459
1134113526
2378613319
015102
1203102
22733102
036369
1106313
2363313
3949313
42595313
53322313
63432313
73432313
84189313
94189313
Stop Event
done
saturated
node limit
node limit
node limit
Compiler

Compiled 242 to 103 computations (57.4% saved)

preprocess446.0ms (2.3%)

Compiler

Compiled 272 to 120 computations (55.9% saved)

end0.0ms (0%)

Profiling

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