Rust f32::acosh

Time bar (total: 5.7s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 6 to 4 computations (33.3% saved)

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

sample589.0ms (10.2%)

Results
419.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 246.0ms
ival-acosh: 194.0ms (78.9% of total)
ival->=: 42.0ms (17.1% of total)
const: 7.0ms (2.8% of total)
backward-pass: 3.0ms (1.2% of total)
Bogosity

preprocess258.0ms (4.5%)

Algorithm
egg-herbie
Rules
1036×sub-neg
986×unsub-neg
832×fma-define
818×distribute-neg-in
778×distribute-rgt-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01668
13468
24268
36068
410368
518968
651568
7122968
8301668
9441068
10553168
11598168
12617868
13625168
14633068
15703368
16785668
Stop Event
node limit
Calls
Call 1
Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(acosh.f32 x)
(acosh.f32 (neg.f32 x))
(neg.f32 (acosh.f32 (neg.f32 x)))
Outputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(acosh.f32 x)
(acosh.f32 (neg.f32 x))
(neg.f32 (acosh.f32 (neg.f32 x)))

explain258.0ms (4.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-0-(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
10-0-(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
00-0-x
00-0-(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
00-0-#s(literal 1 binary32)
00-0-(-.f32 (*.f32 x x) #s(literal 1 binary32))
00-0-(*.f32 x x)
Results
221.0ms512×0valid
Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 203.0ms
ival-log: 119.0ms (58.6% of total)
ival-sub: 49.0ms (24.1% of total)
ival-mult: 27.0ms (13.3% of total)
ival-sqrt: 4.0ms (2% of total)
ival-add: 3.0ms (1.5% of total)
const: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize318.0ms (5.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff-3136
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
cost-diff-3136
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
cost-diff-3136
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
cost-diff0
(*.f32 x x)
accuracy100.0%
(*.f32 x x)
accuracy99.9%
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy99.6%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy57.9%
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
Rules
1734×fma-neg
1520×unsub-neg
1044×sub-neg
858×distribute-neg-in
660×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012112
126112
230112
345112
484112
5160112
6369112
7766112
82568112
94519112
105858112
116536112
126837112
137022112
147124112
157443112
167989112
Stop Event
node limit
Calls
Call 1
Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
x
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
Outputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
x
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
Results
92.0ms256×0valid
Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 3.0ms (29.1% of total)
ival-mult: 2.0ms (19.4% of total)
ival-sqrt: 2.0ms (19.4% of total)
ival-sub: 1.0ms (9.7% of total)
ival-add: 1.0ms (9.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.2%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))>
#<alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))>
#<alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))>
#<alt (*.f32 x x)>
Outputs
#<alt (sqrt.f32 #s(literal -1 binary32))>
#<alt (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))>
#<alt (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))>
#<alt (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))>
#<alt x>
#<alt (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) x)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))>
#<alt (log.f32 (sqrt.f32 #s(literal -1 binary32)))>
#<alt (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))>
#<alt (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))>
#<alt (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/32 binary32) (*.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (*.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))))))>
#<alt (sqrt.f32 #s(literal -1 binary32))>
#<alt (+.f32 x (sqrt.f32 #s(literal -1 binary32)))>
#<alt (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))))>
#<alt (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (/.f32 #s(literal 1/2 binary32) x)>
#<alt (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) x)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1/2 binary32)) x))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/16 binary32) (*.f32 #s(literal 5/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) x))>
#<alt (pow.f32 x #s(literal 2 binary32))>
#<alt (pow.f32 x #s(literal 2 binary32))>
#<alt (pow.f32 x #s(literal 2 binary32))>
#<alt (pow.f32 x #s(literal 2 binary32))>
#<alt (pow.f32 x #s(literal 2 binary32))>
#<alt (pow.f32 x #s(literal 2 binary32))>
#<alt (pow.f32 x #s(literal 2 binary32))>
#<alt (pow.f32 x #s(literal 2 binary32))>
#<alt (pow.f32 x #s(literal 2 binary32))>
#<alt (pow.f32 x #s(literal 2 binary32))>
#<alt (pow.f32 x #s(literal 2 binary32))>
#<alt (pow.f32 x #s(literal 2 binary32))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(log (+ x (sqrt (- (* x x) 1))))
1.0ms
x
@0
(log (+ x (sqrt (- (* x x) 1))))
1.0ms
x
@inf
(log (+ x (sqrt (- (* x x) 1))))
1.0ms
x
@0
(sqrt (- (* x x) 1))
1.0ms
x
@inf
(sqrt (- (* x x) 1))

rewrite458.0ms (8%)

Algorithm
batch-egg-rewrite
Rules
1196×unpow-prod-down
812×fma-define
693×log1p-expm1-u
693×expm1-log1p-u
622×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01289
115589
2207689
Stop Event
node limit
Counts
4 → 230
Calls
Call 1
Inputs
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(*.f32 x x)
Outputs
(+.f32 #s(literal 0 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (cbrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (exp.f32 #s(literal 1 binary32))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) (pow.f32 (*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)))
(*.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32))) #s(literal 3 binary32)))
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(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32))) (sqrt.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(+.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 2 binary32)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32)))) (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32)))))) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))))
(-.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 x) #s(literal 6 binary32))
(pow.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 x) #s(literal 4 binary32))
(pow.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2/3 binary32))
(sqrt.f32 (pow.f32 x #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 x #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 x #s(literal 6 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 x #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 x #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (cbrt.f32 x))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) #s(literal 1/3 binary32)))
(fma.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (*.f32 (cbrt.f32 (fma.f32 x x #s(literal 1 binary32))) (cbrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (cbrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal -1 binary32))
(fma.f32 (hypot.f32 #s(literal 1 binary32) x) (hypot.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))

simplify171.0ms (3%)

Algorithm
egg-herbie
Rules
1296×distribute-lft-in
1206×distribute-rgt-in
646×times-frac
528×unswap-sqr
422×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06724294979686
113474294979390
237184294978653
Stop Event
node limit
Counts
278 → 389
Calls
Call 1
Inputs
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
x
(*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 #s(literal -1 binary32) x)
(*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
(*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
(*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/32 binary32) (*.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (*.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 x (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) x)
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1/2 binary32)) x))
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/16 binary32) (*.f32 #s(literal 5/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) x))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(+.f32 #s(literal 0 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (cbrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (exp.f32 #s(literal 1 binary32))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) (pow.f32 (*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)))
(*.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32))) (cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))) (hypot.f32 #s(literal 1 binary32) x))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (hypot.f32 (pow.f32 x #s(literal 2 binary32)) (hypot.f32 #s(literal 1 binary32) x)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
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(*.f32 (pow.f32 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32))) #s(literal 1/3 binary32)) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (pow.f32 x #s(literal 2 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (-.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (pow.f32 x #s(literal 2 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))) (pow.f32 (exp.f32 #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (-.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 x x #s(literal -1 binary32))))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(pow.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(pow.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(pow.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32))) (cbrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32)))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(log.f32 (*.f32 (exp.f32 x) (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 x)) (exp.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 x)) (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(log.f32 (*.f32 (exp.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (expm1.f32 x))))
(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (exp.f32 x)))
(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (expm1.f32 x))))
(cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(log1p.f32 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(exp.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 3 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1 binary32))) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 x #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32) x)
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(fma.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) x)
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (cbrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) x)
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x)
(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32))) (sqrt.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(+.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 2 binary32)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32)))) (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32)))))) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))))
(-.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 x) #s(literal 6 binary32))
(pow.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 x) #s(literal 4 binary32))
(pow.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2/3 binary32))
(sqrt.f32 (pow.f32 x #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 x #s(literal 2 binary32)))))
(cbrt.f32 (pow.f32 x #s(literal 6 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 x #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 x #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (cbrt.f32 x))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) #s(literal 1/3 binary32)))
(fma.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (*.f32 (cbrt.f32 (fma.f32 x x #s(literal 1 binary32))) (cbrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (cbrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal -1 binary32))
(fma.f32 (hypot.f32 #s(literal 1 binary32) x) (hypot.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))
Outputs
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
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(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x)
(fma.f32 (fabs.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x)
(fma.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x)
(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal -1 binary32) x)) x)
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32))) (sqrt.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32))) (fabs.f32 (cbrt.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(+.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 2 binary32)))
(pow.f32 x #s(literal 2 binary32))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32)))) (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32)))))) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))))
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))))
(-.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 (cbrt.f32 x) #s(literal 6 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/3 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 (sqrt.f32 x) #s(literal 4 binary32))
(pow.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2/3 binary32))
(sqrt.f32 (pow.f32 x #s(literal 4 binary32)))
(log.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))
(pow.f32 x #s(literal 2 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 x #s(literal 2 binary32)))))
(pow.f32 x #s(literal 2 binary32))
(cbrt.f32 (pow.f32 x #s(literal 6 binary32)))
(pow.f32 x #s(literal 2 binary32))
(expm1.f32 (log1p.f32 (pow.f32 x #s(literal 2 binary32))))
(pow.f32 x #s(literal 2 binary32))
(log1p.f32 (expm1.f32 (pow.f32 x #s(literal 2 binary32))))
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (cbrt.f32 x))) #s(literal 3 binary32)))
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 (*.f32 #s(literal 6 binary32) (log.f32 x)) #s(literal 1/3 binary32)))
(pow.f32 x #s(literal 2 binary32))
(fma.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 x #s(literal 2 binary32))
(fma.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32) #s(literal -1 binary32))
(pow.f32 x #s(literal 2 binary32))
(fma.f32 (*.f32 (cbrt.f32 (fma.f32 x x #s(literal 1 binary32))) (cbrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (cbrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 x #s(literal 2 binary32))
(fma.f32 (hypot.f32 #s(literal 1 binary32) x) (hypot.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))
(pow.f32 x #s(literal 2 binary32))

eval41.0ms (0.7%)

Compiler

Compiled 7207 to 1455 computations (79.8% saved)

prune481.0ms (8.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3845389
Fresh000
Picked011
Done000
Total3846390
Accuracy
100.0%
Counts
390 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
96.5%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
54.6%
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
54.7%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
97.2%
(log.f32 (+.f32 x x))
98.7%
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
Compiler

Compiled 102 to 75 computations (26.5% saved)

localize198.0ms (3.4%)

Algorithm
egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
cost-diff0
(sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
cost-diff0
(log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
cost-diff0
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
cost-diff0
(log.f32 #s(literal 2 binary32))
cost-diff0
(+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32))))
cost-diff0
(log.f32 x)
cost-diff0
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
cost-diff0
(log.f32 x)
cost-diff0
(log.f32 #s(literal 2 binary32))
cost-diff0
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
cost-diff0
(+.f32 x x)
cost-diff0
(log.f32 (+.f32 x x))
cost-diff0
(/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))
cost-diff0
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))
cost-diff96
(*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))
cost-diff96
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
accuracy99.9%
(log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
accuracy99.9%
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
accuracy99.6%
(sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
accuracy57.9%
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy100.0%
(log.f32 #s(literal 2 binary32))
accuracy100.0%
(+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32))))
accuracy98.9%
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
accuracy97.1%
(/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))
accuracy100.0%
(log.f32 x)
accuracy100.0%
(log.f32 #s(literal 2 binary32))
accuracy98.9%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
accuracy100.0%
(+.f32 x x)
accuracy99.6%
(log.f32 (+.f32 x x))
accuracy100.0%
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))
accuracy99.9%
(*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))
accuracy99.6%
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
accuracy96.8%
(/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))
Rules
1656×fma-define
1466×fma-neg
912×sub-neg
850×times-frac
544×associate-+r+
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030472
143472
273472
3126472
4235452
5455452
6740452
71784452
83876452
96619452
Stop Event
node limit
Calls
Call 1
Inputs
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))
x
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))
#s(literal 2 binary32)
(/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))
#s(literal 1/2 binary32)
(pow.f32 x #s(literal 2 binary32))
(log.f32 (+.f32 x x))
(+.f32 x x)
x
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(log.f32 x)
x
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
(log.f32 x)
x
(+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32))))
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))
#s(literal -1/4 binary32)
(pow.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
#s(literal 2 binary32)
(log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
x
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)
Outputs
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
(*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))
(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))
x
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 2 binary32))))
#s(literal 2 binary32)
(/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))
#s(literal 1/2 binary32)
(pow.f32 x #s(literal 2 binary32))
(log.f32 (+.f32 x x))
(log.f32 (*.f32 #s(literal 2 binary32) x))
(log.f32 (*.f32 x #s(literal 2 binary32)))
(+.f32 x x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
x
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(log.f32 x)
x
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32))) (log.f32 x)))
(+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32))) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
(log.f32 x)
x
(+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32))))
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))
#s(literal -1/4 binary32)
(pow.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
#s(literal 2 binary32)
(log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
x
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)
Results
76.0ms256×0valid
Compiler

Compiled 139 to 25 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-log: 15.0ms (33.2% of total)
ival-add: 7.0ms (15.5% of total)
ival-mult: 7.0ms (15.5% of total)
ival-div: 4.0ms (8.8% of total)
ival-sqrt: 4.0ms (8.8% of total)
ival-pow: 4.0ms (8.8% of total)
ival-fma: 3.0ms (6.6% of total)
ival-sub: 1.0ms (2.2% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series178.0ms (3.1%)

Counts
17 → 160
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))>
#<alt (log.f32 (+.f32 x x))>
#<alt (+.f32 x x)>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))>
#<alt (log.f32 #s(literal 2 binary32))>
#<alt (log.f32 x)>
#<alt (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32))))>
#<alt (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))>
#<alt (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))>
#<alt (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))>
#<alt (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))>
Outputs
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 x)))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 x #s(literal 2 binary32))) (*.f32 #s(literal -1 binary32) (log.f32 x))))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 x)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 4 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 x)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -64/3 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 8 binary32))) #s(literal 4 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/32 binary32) (*.f32 #s(literal 1/192 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/32 binary32) (*.f32 #s(literal 1/192 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal -1/2 binary32) x)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) x)>
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#<alt (/.f32 #s(literal 1/2 binary32) x)>
#<alt (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) x)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1/2 binary32)) x))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/16 binary32) (*.f32 #s(literal 5/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) x))>
#<alt (log.f32 (sqrt.f32 (sqrt.f32 #s(literal -1 binary32))))>
#<alt (+.f32 (log.f32 (sqrt.f32 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))>
#<alt (+.f32 (log.f32 (sqrt.f32 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x (+.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))>
#<alt (+.f32 (log.f32 (sqrt.f32 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 3/80 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/12 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))>
#<alt (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))))>
#<alt (-.f32 (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))))) (/.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))))>
#<alt (-.f32 (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 4 binary32)))))))>
#<alt (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/2 binary32)))))>
#<alt (-.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/2 binary32))))) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1/2 binary32)) #s(literal 2 binary32))))))>
#<alt (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1/2 binary32)) #s(literal 2 binary32)))) (*.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (pow.f32 (sqrt.f32 #s(literal -1/2 binary32)) #s(literal 2 binary32)))))) (pow.f32 x #s(literal 3 binary32)))))>
#<alt (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1/2 binary32)) #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1/256 binary32) (*.f32 x (pow.f32 (sqrt.f32 #s(literal -1/2 binary32)) #s(literal 4 binary32)))) (/.f32 #s(literal 1/32 binary32) (*.f32 x (pow.f32 (sqrt.f32 #s(literal -1/2 binary32)) #s(literal 2 binary32)))))) (pow.f32 x #s(literal 3 binary32)))))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (sqrt.f32 #s(literal -1 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))>
#<alt (+.f32 (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 x (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))>
#<alt (-.f32 (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))))) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))))>
#<alt (-.f32 (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 4 binary32))))))))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/2 binary32))))))>
#<alt (-.f32 (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/2 binary32)))))) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1/2 binary32)) #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (pow.f32 (sqrt.f32 #s(literal -1/2 binary32)) #s(literal 2 binary32))))) (*.f32 #s(literal -1/8 binary32) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1/2 binary32)) #s(literal 2 binary32))))) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/128 binary32) (*.f32 x (pow.f32 (sqrt.f32 #s(literal -1/2 binary32)) #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1/2 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal -1/16 binary32) (*.f32 x (pow.f32 (sqrt.f32 #s(literal -1/2 binary32)) #s(literal 2 binary32)))))) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/2 binary32)))))))>
Calls

48 calls:

TimeVariablePointExpression
36.0ms
x
@-inf
(+ (log 2) (log x))
28.0ms
x
@0
(log (+ x x))
23.0ms
x
@-inf
(log (+ x x))
21.0ms
x
@0
(+ (log 2) (log x))
6.0ms
x
@inf
(log (+ x x))

rewrite269.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
1029×log1p-expm1-u
308×associate-*r*
206×expm1-log1p-u
205×add-exp-log
201×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030389
1471363
26694363
Stop Event
node limit
Counts
17 → 504
Calls
Call 1
Inputs
(/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))
(log.f32 (+.f32 x x))
(+.f32 x x)
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 #s(literal 2 binary32))
(log.f32 x)
(/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))
(*.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32))))
(*.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))) (cbrt.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32)))))
(*.f32 (cbrt.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))
(*.f32 (/.f32 (sqrt.f32 #s(literal 1/2 binary32)) x) (/.f32 (sqrt.f32 #s(literal 1/2 binary32)) x))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))) #s(literal 3 binary32))
(pow.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (sqrt.f32 #s(literal 1/2 binary32)) x) #s(literal 2 binary32))
(pow.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(neg.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))
(sqrt.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))))
(log.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))
(cbrt.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))
(exp.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))) #s(literal 1 binary32)))
(+.f32 (log.f32 x) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))
(+.f32 (log.f32 x) (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 1 binary32)))
(+.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) (log.f32 x))
(+.f32 #s(literal 0 binary32) (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(+.f32 (log.f32 (sqrt.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) (log.f32 (sqrt.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))) #s(literal 1 binary32))
(*.f32 (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(*.f32 (cbrt.f32 (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(*.f32 (sqrt.f32 (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) (sqrt.f32 (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) (*.f32 (log.f32 x) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) (-.f32 (log.f32 x) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(pow.f32 (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 2 binary32))
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(exp.f32 (log.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 1 binary32)))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 #s(literal 0 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 1 binary32)))

simplify156.0ms (2.7%)

Algorithm
egg-herbie
Rules
432×*-commutative
272×+-commutative
180×sub-neg
142×associate-*r/
98×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012528917
145288917
Stop Event
unsound
Counts
664 → 644
Calls
Call 1
Inputs
(+.f32 (log.f32 #s(literal -1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 x)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 x #s(literal 2 binary32))) (*.f32 #s(literal -1 binary32) (log.f32 x))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 x)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 4 binary32)))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 x)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -64/3 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 8 binary32))) #s(literal 4 binary32)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/32 binary32) (*.f32 #s(literal 1/192 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))
(-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/32 binary32) (*.f32 #s(literal 1/192 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 2 binary32)))
#s(literal 2 binary32)
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
#s(literal 2 binary32)
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 2 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 2 binary32)))
(log.f32 #s(literal 2 binary32))
(-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(log.f32 #s(literal 2 binary32))
(-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
x
(*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 #s(literal -1 binary32) x)
(*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
(*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
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(sqrt.f32 (sqrt.f32 #s(literal -1 binary32)))
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(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(+.f32 #s(literal 0 binary32) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/4 binary32))) (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/4 binary32))))
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(pow.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(log1p.f32 (-.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 1 binary32)))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 #s(literal 0 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 1 binary32)))
Outputs
(+.f32 (log.f32 #s(literal -1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 x)))
(log.f32 x)
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (*.f32 #s(literal -4 binary32) (pow.f32 x #s(literal 2 binary32))) (*.f32 #s(literal -1 binary32) (log.f32 x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 x)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 4 binary32)))))
(+.f32 (log.f32 x) (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 #s(literal -8 binary32) (pow.f32 x #s(literal -4 binary32)) #s(literal -4 binary32))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 x)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -64/3 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 8 binary32))) #s(literal 4 binary32)))))
(+.f32 (log.f32 x) (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 #s(literal -64/3 binary32) (pow.f32 x #s(literal -4 binary32)) #s(literal -8 binary32)) #s(literal -4 binary32))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(log.f32 x)
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(log.f32 x)
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))
(log.f32 x)
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/32 binary32) (*.f32 #s(literal 1/192 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 x) (/.f32 #s(literal 193/192 binary32) (pow.f32 x #s(literal -4 binary32))))
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log.f32 x)
(-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(log.f32 x)
(+.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))
(log.f32 x)
(-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/32 binary32) (*.f32 #s(literal 1/192 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 x) (/.f32 #s(literal 193/192 binary32) (pow.f32 x #s(literal -4 binary32))))
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -4 binary32) x)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)
(/.f32 #s(literal -4 binary32) x)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)
(/.f32 #s(literal -4 binary32) x)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)
(/.f32 #s(literal -4 binary32) x)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(literal -4 binary32)
(*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(literal -4 binary32)
(*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))))
#s(literal -4 binary32)
(*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))))
#s(literal -4 binary32)
(*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))))
#s(literal -4 binary32)
(/.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 2 binary32)))
#s(literal -4 binary32)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 2 binary32)))
#s(literal -4 binary32)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 2 binary32)))
#s(literal -4 binary32)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 2 binary32)))
#s(literal -4 binary32)
#s(literal 2 binary32)
#s(literal -4 binary32)
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
#s(literal -4 binary32)
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
#s(literal -4 binary32)
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
#s(literal -4 binary32)
#s(literal 2 binary32)
#s(literal -4 binary32)
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
#s(literal -4 binary32)
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
#s(literal -4 binary32)
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
#s(literal -4 binary32)
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 x)
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 x)
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 x)
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 x)
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log.f32 x)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(log.f32 x)
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(log.f32 x)
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(log.f32 x)
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(log.f32 x)
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(log.f32 x)
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(log.f32 x)
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(log.f32 x)
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(log.f32 x)
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log.f32 x)
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log.f32 x)
(/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))
#s(literal -4 binary32)
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) (log.f32 x) #s(literal -4 binary32)) (pow.f32 x #s(literal -4 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) (log.f32 x) #s(literal -4 binary32)) (pow.f32 x #s(literal -4 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) (log.f32 x) #s(literal -4 binary32)) (pow.f32 x #s(literal -4 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(log.f32 x)
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(log.f32 x)
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x
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(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))) (log.f32 x))
(log.f32 x)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))))
#s(literal -4 binary32)
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(log.f32 x)
(fma.f32 (sqrt.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))) (sqrt.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))) (log.f32 x))
(log.f32 x)
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#s(literal -4 binary32)
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#s(literal -4 binary32)
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#s(literal -4 binary32)
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#s(literal -4 binary32)
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#s(literal -4 binary32)
(pow.f32 (pow.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
#s(literal -4 binary32)
(pow.f32 (sqrt.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))) #s(literal 2 binary32))
#s(literal -4 binary32)
(sqrt.f32 (pow.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)))
#s(literal -4 binary32)
(log.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (pow.f32 x #s(literal -2 binary32)))))
(log.f32 (*.f32 #s(literal -4 binary32) (pow.f32 #s(literal -4 binary32) (pow.f32 x #s(literal -4 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))))))
#s(literal -4 binary32)
(cbrt.f32 (pow.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 3 binary32)))
#s(literal -4 binary32)
(expm1.f32 (log1p.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))))
#s(literal -4 binary32)
(log1p.f32 (expm1.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))))
#s(literal -4 binary32)
(exp.f32 (log.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))))
#s(literal -4 binary32)
(exp.f32 (*.f32 (log.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))) #s(literal 1 binary32)))
#s(literal -4 binary32)
(fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))
#s(literal -4 binary32)
(fma.f32 #s(literal 1 binary32) (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))))
#s(literal -4 binary32)
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))) (log.f32 #s(literal 2 binary32)))
#s(literal -4 binary32)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 #s(literal 2 binary32))) (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))))
#s(literal -4 binary32)
(fma.f32 (cbrt.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) (cbrt.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)))) (log.f32 #s(literal 2 binary32)))
#s(literal -4 binary32)
(fma.f32 (sqrt.f32 (log.f32 #s(literal 2 binary32))) (sqrt.f32 (log.f32 #s(literal 2 binary32))) (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))))
#s(literal -4 binary32)
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1/4 binary32)) x) (/.f32 (sqrt.f32 #s(literal -1/4 binary32)) x) (log.f32 #s(literal 2 binary32)))
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(*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 2 binary32)))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(pow.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 1 binary32))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 3 binary32))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(pow.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(pow.f32 (sqrt.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 2 binary32))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(sqrt.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32)))
(sqrt.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32)))))
(cbrt.f32 (pow.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 3 binary32)))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(expm1.f32 (log1p.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(log1p.f32 (-.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32)))
(log1p.f32 (expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))))
(exp.f32 (log.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(exp.f32 (*.f32 (log.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 1 binary32)))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(+.f32 #s(literal 0 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #s(literal 1 binary32))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(neg.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal -4 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))) (log.f32 (fma.f32 x x (+.f32 (fma.f32 x x #s(literal -4 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -4 binary32)))))))
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 3 binary32))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 2 binary32))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)))
(sqrt.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32)))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32)))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)))
(log1p.f32 (expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 1 binary32)))
(log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -4 binary32))))

eval66.0ms (1.2%)

Compiler

Compiled 10782 to 2333 computations (78.4% saved)

prune93.0ms (1.6%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New6823685
Fresh000
Picked145
Done011
Total6838691
Accuracy
100.0%
Counts
691 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
96.5%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
2.2%
(+.f32 #s(literal -4 binary32) (/.f32 x #s(literal -4 binary32)))
97.2%
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x x))))
54.7%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
97.2%
(log.f32 (+.f32 x x))
98.7%
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
44.0%
(log.f32 x)
Compiler

Compiled 61 to 44 computations (27.9% saved)

localize51.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 x #s(literal -4 binary32))
cost-diff0
(+.f32 #s(literal -4 binary32) (/.f32 x #s(literal -4 binary32)))
cost-diff0
(+.f32 x x)
cost-diff0
(sqrt.f32 (+.f32 x x))
cost-diff0
(log.f32 (sqrt.f32 (+.f32 x x)))
cost-diff0
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x x))))
cost-diff0
(log.f32 x)
accuracy100.0%
(/.f32 x #s(literal -4 binary32))
accuracy100.0%
(+.f32 #s(literal -4 binary32) (/.f32 x #s(literal -4 binary32)))
accuracy100.0%
(+.f32 x x)
accuracy100.0%
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x x))))
accuracy99.9%
(log.f32 (sqrt.f32 (+.f32 x x)))
accuracy99.6%
(sqrt.f32 (+.f32 x x))
accuracy100.0%
(log.f32 x)
Rules
*-commutative
count-2
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015114
118114
219114
Stop Event
saturated
Calls
Call 1
Inputs
(log.f32 x)
x
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x x))))
#s(literal 2 binary32)
(log.f32 (sqrt.f32 (+.f32 x x)))
(sqrt.f32 (+.f32 x x))
(+.f32 x x)
x
(+.f32 #s(literal -4 binary32) (/.f32 x #s(literal -4 binary32)))
#s(literal -4 binary32)
(/.f32 x #s(literal -4 binary32))
x
Outputs
(log.f32 x)
x
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x x))))
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) x))))
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (*.f32 x #s(literal 2 binary32)))))
#s(literal 2 binary32)
(log.f32 (sqrt.f32 (+.f32 x x)))
(log.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) x)))
(log.f32 (sqrt.f32 (*.f32 x #s(literal 2 binary32))))
(sqrt.f32 (+.f32 x x))
(sqrt.f32 (*.f32 #s(literal 2 binary32) x))
(sqrt.f32 (*.f32 x #s(literal 2 binary32)))
(+.f32 x x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
x
(+.f32 #s(literal -4 binary32) (/.f32 x #s(literal -4 binary32)))
#s(literal -4 binary32)
(/.f32 x #s(literal -4 binary32))
x
Results
29.0ms256×0valid
Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-log: 7.0ms (41.6% of total)
ival-add: 3.0ms (17.8% of total)
ival-div: 2.0ms (11.9% of total)
ival-mult: 2.0ms (11.9% of total)
ival-sqrt: 2.0ms (11.9% of total)
const: 1.0ms (5.9% of total)
backward-pass: 0.0ms (0% of total)

series55.0ms (1%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (sqrt.f32 (+.f32 x x))>
#<alt (log.f32 (sqrt.f32 (+.f32 x x)))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x x))))>
#<alt (+.f32 #s(literal -4 binary32) (/.f32 x #s(literal -4 binary32)))>
#<alt (/.f32 x #s(literal -4 binary32))>
Outputs
#<alt (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))>
#<alt (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32))))>
#<alt (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32))))>
#<alt (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32))))>
#<alt (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32))))>
#<alt (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))>
#<alt (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))>
#<alt (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))>
#<alt (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))>
#<alt (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))>
#<alt (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))>
#<alt (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))>
#<alt (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))>
#<alt #s(literal -4 binary32)>
#<alt (-.f32 (*.f32 #s(literal -1/4 binary32) x) #s(literal 4 binary32))>
#<alt (-.f32 (*.f32 #s(literal -1/4 binary32) x) #s(literal 4 binary32))>
#<alt (-.f32 (*.f32 #s(literal -1/4 binary32) x) #s(literal 4 binary32))>
#<alt (*.f32 #s(literal -1/4 binary32) x)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))>
#<alt (*.f32 #s(literal -1/4 binary32) x)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))>
#<alt (*.f32 #s(literal -1/4 binary32) x)>
#<alt (*.f32 #s(literal -1/4 binary32) x)>
#<alt (*.f32 #s(literal -1/4 binary32) x)>
#<alt (*.f32 #s(literal -1/4 binary32) x)>
#<alt (*.f32 #s(literal -1/4 binary32) x)>
#<alt (*.f32 #s(literal -1/4 binary32) x)>
#<alt (*.f32 #s(literal -1/4 binary32) x)>
#<alt (*.f32 #s(literal -1/4 binary32) x)>
#<alt (*.f32 #s(literal -1/4 binary32) x)>
#<alt (*.f32 #s(literal -1/4 binary32) x)>
#<alt (*.f32 #s(literal -1/4 binary32) x)>
#<alt (*.f32 #s(literal -1/4 binary32) x)>
Calls

15 calls:

TimeVariablePointExpression
22.0ms
x
@-inf
(log (sqrt (+ x x)))
17.0ms
x
@0
(log (sqrt (+ x x)))
6.0ms
x
@inf
(log (sqrt (+ x x)))
1.0ms
x
@0
(sqrt (+ x x))
1.0ms
x
@-inf
(sqrt (+ x x))

rewrite132.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1190×unpow-prod-down
633×log1p-expm1-u
633×expm1-log1p-u
584×log-prod
546×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01476
117251
2233251
Stop Event
node limit
Counts
5 → 551
Calls
Call 1
Inputs
(sqrt.f32 (+.f32 x x))
(log.f32 (sqrt.f32 (+.f32 x x)))
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x x))))
(+.f32 #s(literal -4 binary32) (/.f32 x #s(literal -4 binary32)))
(/.f32 x #s(literal -4 binary32))
Outputs
(+.f32 x x)
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) x) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) x))
(+.f32 (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (cbrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 0 binary32)) (/.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 0 binary32)))
(*.f32 x #s(literal 2 binary32))
(*.f32 x (log.f32 (exp.f32 #s(literal 2 binary32))))
(*.f32 x (pow.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x)) #s(literal 2 binary32)))
(*.f32 x (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (log.f32 (exp.f32 #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 (cbrt.f32 x) (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 x) (pow.f32 #s(literal 2 binary32) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 x) (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (+.f32 (cbrt.f32 x) (cbrt.f32 x)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x)) #s(literal 1 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 4 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x)) #s(literal 3 binary32)))
(*.f32 (sqrt.f32 x) (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 x) (+.f32 (sqrt.f32 x) (sqrt.f32 x)))
(*.f32 (sqrt.f32 x) (pow.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 x) (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 3/2 binary32)))
(*.f32 #s(literal 4 binary32) (pow.f32 x #s(literal 2 binary32)))
(*.f32 #s(literal 4 binary32) (pow.f32 (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 2 binary32)))
(*.f32 #s(literal 16 binary32) (pow.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 0 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 0 binary32))) #s(literal 1 binary32)))
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)))
(*.f32 #s(literal 0 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) #s(literal 2 binary32)))
(*.f32 #s(literal 0 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32)))
(*.f32 #s(literal 0 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 0 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) #s(literal 3 binary32)))
(*.f32 #s(literal 0 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) #s(literal 1/3 binary32)))
(*.f32 #s(literal 0 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) #s(literal 3/2 binary32)))
(*.f32 #s(literal 0 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 x))
(*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)) (pow.f32 (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32)))
(*.f32 (cbrt.f32 #s(literal 2 binary32)) (cbrt.f32 x))
(*.f32 #s(literal 64 binary32) (pow.f32 x #s(literal 6 binary32)))
(*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 x))
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x)) #s(literal 3 binary32)))
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 #s(literal 2 binary32) #s(literal 3/2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (cbrt.f32 x))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 2 binary32)) x)
(*.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 x)))
(*.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 x)))
(*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 1 binary32)) (sqrt.f32 x))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x)) #s(literal 2 binary32)))
(*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/3 binary32)) (cbrt.f32 x))
(*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/3 binary32)) (pow.f32 (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 1 binary32)) (cbrt.f32 x))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal 3/2 binary32)) (pow.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x)) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 x) #s(literal 3/2 binary32)) (pow.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x)) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) x)
(*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) x)
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 1/3 binary32)) (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 x) #s(literal 1/3 binary32)) (pow.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x)) #s(literal 1/3 binary32)))
(*.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)))
(*.f32 #s(literal 8 binary32) (pow.f32 (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 0 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32)) x)
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) #s(literal 2 binary32)) x)
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 2 binary32)))
(*.f32 (pow.f32 #s(literal 4 binary32) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 0 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 x))
(*.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 x))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)) (cbrt.f32 x))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) #s(literal 1 binary32)) (sqrt.f32 x))
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) x)
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 0 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 3 binary32)) x)
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(*.f32 (pow.f32 #s(literal 4 binary32) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 0 binary32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 1/3 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 x))
(*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 3/2 binary32)) (pow.f32 (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 #s(literal 4 binary32) #s(literal 3/2 binary32)) (pow.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 3/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 0 binary32))) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)) #s(literal 3/2 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 3/2 binary32)) (sqrt.f32 x))
(*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3/2 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 3/2 binary32)) (sqrt.f32 x))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) #s(literal 3/2 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 2 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(*.f32 (pow.f32 x #s(literal 1/4 binary32)) (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) (pow.f32 (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/4 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (pow.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (sqrt.f32 x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 4 binary32) #s(literal 1/4 binary32)) (pow.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 0 binary32))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (cbrt.f32 #s(literal 2 binary32)) #s(literal 1/4 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 1/4 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 1/4 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) #s(literal 1/4 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 1/4 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal 0 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x #s(literal 0 binary32)))
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(-.f32 (exp.f32 (log1p.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 1 binary32))
(*.f32 x #s(literal -1/4 binary32))
(*.f32 x (pow.f32 (cbrt.f32 #s(literal -1/4 binary32)) #s(literal 3 binary32)))
(*.f32 x (pow.f32 #s(literal -1/64 binary32) #s(literal 1/3 binary32)))
(*.f32 x (pow.f32 (sqrt.f32 #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(*.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x #s(literal -1/4 binary32)) (log.f32 (exp.f32 #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (*.f32 x #s(literal -1/4 binary32)))
(*.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))) (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32))))
(*.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))) (pow.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32))) (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))))
(*.f32 (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32))) (pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (*.f32 (cbrt.f32 x) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (/.f32 (cbrt.f32 x) #s(literal -4 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (*.f32 (cbrt.f32 x) #s(literal -1/4 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (/.f32 (cbrt.f32 x) #s(literal -4 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32))) (sqrt.f32 (*.f32 x #s(literal -1/4 binary32))))
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) #s(literal -1/4 binary32)))
(*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) #s(literal -4 binary32)))
(*.f32 (sqrt.f32 x) (pow.f32 (*.f32 (sqrt.f32 x) #s(literal -1/4 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 x) (pow.f32 (/.f32 (sqrt.f32 x) #s(literal -4 binary32)) #s(literal 1 binary32)))
(*.f32 (neg.f32 x) #s(literal 1/4 binary32))
(*.f32 #s(literal -1/4 binary32) x)
(*.f32 #s(literal -1/4 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (*.f32 x #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) (cbrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))))
(*.f32 (pow.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 x #s(literal -1/4 binary32)) (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (*.f32 x #s(literal -1/4 binary32)) (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)) x) #s(literal 1/3 binary32)) (pow.f32 #s(literal -1/4 binary32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)) (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)))) #s(literal 1/3 binary32)) (pow.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)) (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal -4 binary32) x)) (cbrt.f32 (/.f32 #s(literal -4 binary32) x))) #s(literal -1 binary32)) (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))))
(pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal -4 binary32) x) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal -4 binary32) x) #s(literal 1 binary32)) #s(literal -1 binary32))
(neg.f32 (/.f32 x #s(literal 4 binary32)))
(sqrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)))
(log.f32 (exp.f32 (*.f32 x #s(literal -1/4 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x #s(literal -1/4 binary32)))))
(cbrt.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 x #s(literal -1/4 binary32))))
(log1p.f32 (expm1.f32 (*.f32 x #s(literal -1/4 binary32))))
(exp.f32 (log.f32 (*.f32 x #s(literal -1/4 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 3 binary32) (log.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -4 binary32) x)) #s(literal -1 binary32)))

simplify95.0ms (1.7%)

Algorithm
egg-herbie
Rules
400×*-commutative
96×unpow1/3
78×unpow2
72×fma-undefine
72×cube-mult
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010334294972348
124814294972348
Stop Event
unsound
Counts
611 → 595
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32))))
(log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32))))
(log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32))))
(log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32))))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))))
(*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))))
(*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))))
(*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))))
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(literal -4 binary32)
(-.f32 (*.f32 #s(literal -1/4 binary32) x) #s(literal 4 binary32))
(-.f32 (*.f32 #s(literal -1/4 binary32) x) #s(literal 4 binary32))
(-.f32 (*.f32 #s(literal -1/4 binary32) x) #s(literal 4 binary32))
(*.f32 #s(literal -1/4 binary32) x)
(*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal -1/4 binary32) x)
(*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal -1/4 binary32) x)
(*.f32 #s(literal -1/4 binary32) x)
(*.f32 #s(literal -1/4 binary32) x)
(*.f32 #s(literal -1/4 binary32) x)
(*.f32 #s(literal -1/4 binary32) x)
(*.f32 #s(literal -1/4 binary32) x)
(*.f32 #s(literal -1/4 binary32) x)
(*.f32 #s(literal -1/4 binary32) x)
(*.f32 #s(literal -1/4 binary32) x)
(*.f32 #s(literal -1/4 binary32) x)
(*.f32 #s(literal -1/4 binary32) x)
(*.f32 #s(literal -1/4 binary32) x)
(+.f32 x x)
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) x) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) x))
(+.f32 (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (cbrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 0 binary32)) (/.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 0 binary32)))
(*.f32 x #s(literal 2 binary32))
(*.f32 x (log.f32 (exp.f32 #s(literal 2 binary32))))
(*.f32 x (pow.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x)) #s(literal 2 binary32)))
(*.f32 x (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (log.f32 (exp.f32 #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 (cbrt.f32 x) (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 x) (pow.f32 #s(literal 2 binary32) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 x) (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (+.f32 (cbrt.f32 x) (cbrt.f32 x)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x)) #s(literal 1 binary32)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 4 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x)) #s(literal 3 binary32)))
(*.f32 (sqrt.f32 x) (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)))
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(*.f32 (pow.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)) x) #s(literal 1/3 binary32)) (pow.f32 #s(literal -1/4 binary32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)) (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)))) #s(literal 1/3 binary32)) (pow.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)) (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal -4 binary32) x)) (cbrt.f32 (/.f32 #s(literal -4 binary32) x))) #s(literal -1 binary32)) (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))))
(pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal -4 binary32) x) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal -4 binary32) x) #s(literal 1 binary32)) #s(literal -1 binary32))
(neg.f32 (/.f32 x #s(literal 4 binary32)))
(sqrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)))
(log.f32 (exp.f32 (*.f32 x #s(literal -1/4 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x #s(literal -1/4 binary32)))))
(cbrt.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 x #s(literal -1/4 binary32))))
(log1p.f32 (expm1.f32 (*.f32 x #s(literal -1/4 binary32))))
(exp.f32 (log.f32 (*.f32 x #s(literal -1/4 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 3 binary32) (log.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -4 binary32) x)) #s(literal -1 binary32)))
Outputs
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) #s(literal -4 binary32))
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) #s(literal -4 binary32))
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) #s(literal -4 binary32))
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) #s(literal -4 binary32))
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) #s(literal -4 binary32))
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) #s(literal -4 binary32))
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) #s(literal -4 binary32))
(*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 x) #s(literal -4 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 x) #s(literal -4 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 x) #s(literal -4 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 x) #s(literal -4 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 x) #s(literal -4 binary32))
(log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32))))
(log.f32 (*.f32 (sqrt.f32 x) #s(literal -4 binary32)))
(log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32))))
(log.f32 (*.f32 (sqrt.f32 x) #s(literal -4 binary32)))
(log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32))))
(log.f32 (*.f32 (sqrt.f32 x) #s(literal -4 binary32)))
(log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32))))
(log.f32 (*.f32 (sqrt.f32 x) #s(literal -4 binary32)))
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
#s(literal -4 binary32)
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
#s(literal -4 binary32)
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
#s(literal -4 binary32)
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
#s(literal -4 binary32)
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(literal -4 binary32)
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(literal -4 binary32)
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(literal -4 binary32)
(+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))))
(*.f32 #s(literal -4 binary32) (log.f32 (*.f32 (sqrt.f32 x) #s(literal -4 binary32))))
(*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))))
(*.f32 #s(literal -4 binary32) (log.f32 (*.f32 (sqrt.f32 x) #s(literal -4 binary32))))
(*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))))
(*.f32 #s(literal -4 binary32) (log.f32 (*.f32 (sqrt.f32 x) #s(literal -4 binary32))))
(*.f32 #s(literal 2 binary32) (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal 2 binary32)))))
(*.f32 #s(literal -4 binary32) (log.f32 (*.f32 (sqrt.f32 x) #s(literal -4 binary32))))
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(literal -4 binary32)
#s(literal -4 binary32)
(-.f32 (*.f32 #s(literal -1/4 binary32) x) #s(literal 4 binary32))
#s(literal -1/4 binary32)
(-.f32 (*.f32 #s(literal -1/4 binary32) x) #s(literal 4 binary32))
#s(literal -1/4 binary32)
(-.f32 (*.f32 #s(literal -1/4 binary32) x) #s(literal 4 binary32))
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))
#s(literal 5/4 binary32)
(*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))
#s(literal 5/4 binary32)
(*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))
#s(literal 5/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))
#s(literal 5/4 binary32)
(*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))
#s(literal 5/4 binary32)
(*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))))
#s(literal 5/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(+.f32 x x)
#s(literal -4 binary32)
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
#s(literal -4 binary32)
(+.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) x) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) x))
#s(literal -4 binary32)
(+.f32 (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
#s(literal -4 binary32)
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (cbrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))))
#s(literal -4 binary32)
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))))
#s(literal -4 binary32)
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal 1 binary32))
#s(literal -4 binary32)
(-.f32 (/.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 0 binary32)) (/.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 0 binary32)))
#s(literal -4 binary32)
(*.f32 x #s(literal 2 binary32))
#s(literal -4 binary32)
(*.f32 x (log.f32 (exp.f32 #s(literal 2 binary32))))
#s(literal -4 binary32)
(*.f32 x (pow.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x)) #s(literal 2 binary32)))
(*.f32 x (*.f32 (sqrt.f32 x) #s(literal -4 binary32)))
(*.f32 x (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 3 binary32)))
(*.f32 x (*.f32 #s(literal -4 binary32) (pow.f32 (cbrt.f32 x) #s(literal -4 binary32))))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
#s(literal -4 binary32)
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1 binary32))
#s(literal -4 binary32)
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (log.f32 (exp.f32 #s(literal 1 binary32))))
#s(literal -4 binary32)
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
#s(literal -4 binary32)
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)))
#s(literal -4 binary32)
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 1/4 binary32)))
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
#s(literal -4 binary32)
(*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1 binary32)))
#s(literal -4 binary32)
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
#s(literal -4 binary32)
(*.f32 (cbrt.f32 x) (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))))
(*.f32 #s(literal -4 binary32) (*.f32 (pow.f32 (cbrt.f32 x) #s(literal -4 binary32)) (cbrt.f32 x)))
(*.f32 (cbrt.f32 x) (pow.f32 #s(literal 2 binary32) #s(literal 1/3 binary32)))
(*.f32 #s(literal -4 binary32) (cbrt.f32 x))
(*.f32 (cbrt.f32 x) (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 1 binary32)))
(*.f32 #s(literal -4 binary32) (*.f32 (pow.f32 (cbrt.f32 x) #s(literal -4 binary32)) (cbrt.f32 x)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (+.f32 (cbrt.f32 x) (cbrt.f32 x)))
(*.f32 #s(literal -4 binary32) (*.f32 (pow.f32 (cbrt.f32 x) #s(literal -4 binary32)) (cbrt.f32 x)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal -4 binary32)) (*.f32 #s(literal -4 binary32) (pow.f32 (cbrt.f32 x) #s(literal -4 binary32))))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x)) #s(literal 1 binary32)))
(*.f32 #s(literal -4 binary32) (*.f32 (pow.f32 (cbrt.f32 x) #s(literal -4 binary32)) (cbrt.f32 x)))
(*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 4 binary32))
#s(literal -4 binary32)
(*.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x)) #s(literal 3 binary32)))
(*.f32 (pow.f32 x #s(literal -4 binary32)) (*.f32 #s(literal -4 binary32) (cbrt.f32 x)))
(*.f32 (sqrt.f32 x) (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 x) #s(literal -4 binary32))
(*.f32 (sqrt.f32 x) (+.f32 (sqrt.f32 x) (sqrt.f32 x)))
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) #s(literal -4 binary32)))
(*.f32 (sqrt.f32 x) (pow.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) #s(literal -4 binary32)))
(*.f32 (sqrt.f32 x) (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) #s(literal 3/2 binary32)))
(*.f32 (sqrt.f32 x) (pow.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (cbrt.f32 x) #s(literal -4 binary32))) #s(literal 3/2 binary32)))
(*.f32 #s(literal 4 binary32) (pow.f32 x #s(literal 2 binary32)))
#s(literal -4 binary32)
(*.f32 #s(literal 4 binary32) (pow.f32 (*.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 2 binary32)))
#s(literal -4 binary32)
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(*.f32 #s(literal -1/4 binary32) (cbrt.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32))))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (*.f32 (cbrt.f32 x) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal -4 binary32)) (*.f32 (cbrt.f32 x) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (/.f32 (cbrt.f32 x) #s(literal -4 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal -4 binary32)) (/.f32 (cbrt.f32 x) #s(literal -4 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (*.f32 (cbrt.f32 x) #s(literal -1/4 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal -4 binary32)) (*.f32 (cbrt.f32 x) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (/.f32 (cbrt.f32 x) #s(literal -4 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal -4 binary32)) (/.f32 (cbrt.f32 x) #s(literal -4 binary32)))
(*.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32))) (sqrt.f32 (*.f32 x #s(literal -1/4 binary32))))
#s(literal -1/4 binary32)
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) #s(literal -1/4 binary32)))
(*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) #s(literal -4 binary32)))
(*.f32 (sqrt.f32 x) (pow.f32 (*.f32 (sqrt.f32 x) #s(literal -1/4 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) #s(literal -1/4 binary32)))
(*.f32 (sqrt.f32 x) (pow.f32 (/.f32 (sqrt.f32 x) #s(literal -4 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) #s(literal -4 binary32)))
(*.f32 (neg.f32 x) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
(*.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
(*.f32 #s(literal -1/4 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
#s(literal -1/4 binary32)
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (*.f32 x #s(literal -1/4 binary32)))
#s(literal -1/4 binary32)
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)))
#s(literal -1/4 binary32)
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)))
#s(literal -1/4 binary32)
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)))
(*.f32 #s(literal -1/4 binary32) (cbrt.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32))))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) (cbrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)))
#s(literal -1/4 binary32)
(*.f32 (pow.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))))
(*.f32 #s(literal -1/4 binary32) (cbrt.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32))))
(*.f32 (pow.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (pow.f32 #s(literal -1/4 binary32) #s(literal 3/2 binary32))) (cbrt.f32 (pow.f32 #s(literal -1/4 binary32) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (*.f32 (*.f32 x #s(literal -1/4 binary32)) (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (*.f32 x #s(literal -1/4 binary32)) (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 1/3 binary32)))
#s(literal -1/4 binary32)
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
#s(literal -1/4 binary32)
(*.f32 (pow.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)) x) #s(literal 1/3 binary32)) (pow.f32 #s(literal -1/4 binary32) #s(literal 1/3 binary32)))
(*.f32 #s(literal -1/4 binary32) (cbrt.f32 (*.f32 x (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32)))))
(*.f32 (pow.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)) (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)))) #s(literal 1/3 binary32)) (pow.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 1/3 binary32)))
(*.f32 #s(literal -1/4 binary32) (cbrt.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (*.f32 #s(literal 1/16 binary32) (cbrt.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32)))))))
(*.f32 (pow.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)) (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 1/3 binary32)))
#s(literal -1/4 binary32)
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 2 binary32)))
(*.f32 #s(literal -1/4 binary32) (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32)))) #s(literal -4 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 2 binary32)))
#s(literal -1/4 binary32)
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal -4 binary32) x)) (cbrt.f32 (/.f32 #s(literal -4 binary32) x))) #s(literal -1 binary32)) (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))))
#s(literal -1/4 binary32)
(pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 1 binary32))
#s(literal -1/4 binary32)
(pow.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 3 binary32))
#s(literal -1/4 binary32)
(pow.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
#s(literal -1/4 binary32)
(pow.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 2 binary32))
#s(literal -1/4 binary32)
(pow.f32 (/.f32 #s(literal -4 binary32) x) #s(literal -1 binary32))
#s(literal -4 binary32)
(pow.f32 (/.f32 (/.f32 #s(literal -4 binary32) x) #s(literal 1 binary32)) #s(literal -1 binary32))
#s(literal -4 binary32)
(neg.f32 (/.f32 x #s(literal 4 binary32)))
#s(literal -4 binary32)
(sqrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)))
(sqrt.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32)))
(log.f32 (exp.f32 (*.f32 x #s(literal -1/4 binary32))))
#s(literal -1/4 binary32)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x #s(literal -1/4 binary32)))))
#s(literal -1/4 binary32)
(cbrt.f32 (pow.f32 (*.f32 x #s(literal -1/4 binary32)) #s(literal 3 binary32)))
#s(literal -1/4 binary32)
(expm1.f32 (log1p.f32 (*.f32 x #s(literal -1/4 binary32))))
#s(literal -1/4 binary32)
(log1p.f32 (expm1.f32 (*.f32 x #s(literal -1/4 binary32))))
#s(literal -1/4 binary32)
(exp.f32 (log.f32 (*.f32 x #s(literal -1/4 binary32))))
#s(literal -1/4 binary32)
(exp.f32 (*.f32 (log.f32 (*.f32 x #s(literal -1/4 binary32))) #s(literal 1 binary32)))
#s(literal -1/4 binary32)
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 3 binary32)))
#s(literal -1/4 binary32)
(exp.f32 (*.f32 (*.f32 #s(literal 3 binary32) (log.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 1/3 binary32)))
#s(literal -1/4 binary32)
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 x #s(literal -1/4 binary32)))) #s(literal 2 binary32)))
#s(literal -1/4 binary32)
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -4 binary32) x)) #s(literal -1 binary32)))
#s(literal -4 binary32)

eval80.0ms (1.4%)

Compiler

Compiled 8120 to 2213 computations (72.7% saved)

prune180.0ms (3.1%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New6744678
Fresh000
Picked123
Done055
Total67511686
Accuracy
100.0%
Counts
686 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
96.5%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
97.2%
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x x))))
22.9%
(*.f32 #s(literal 2 binary32) #s(literal 3/2 binary32))
21.5%
(*.f32 #s(literal 2 binary32) #s(literal 2/3 binary32))
54.7%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
97.2%
(log.f32 (+.f32 x x))
98.7%
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
44.0%
(log.f32 x)
30.9%
#s(literal 255/4 binary32)
21.4%
#s(literal 5/4 binary32)
Compiler

Compiled 67 to 52 computations (22.4% saved)

localize36.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff64
(*.f32 #s(literal 2 binary32) #s(literal 3/2 binary32))
cost-diff64
(*.f32 #s(literal 2 binary32) #s(literal 2/3 binary32))
accuracy100.0%
(*.f32 #s(literal 2 binary32) #s(literal 3/2 binary32))
accuracy100.0%
(*.f32 #s(literal 2 binary32) #s(literal 2/3 binary32))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118
Stop Event
saturated
Calls
Call 1
Inputs
#s(literal 5/4 binary32)
#s(literal 255/4 binary32)
(*.f32 #s(literal 2 binary32) #s(literal 2/3 binary32))
#s(literal 2 binary32)
#s(literal 2/3 binary32)
(*.f32 #s(literal 2 binary32) #s(literal 3/2 binary32))
#s(literal 2 binary32)
#s(literal 3/2 binary32)
Outputs
#s(literal 5/4 binary32)
#s(literal 255/4 binary32)
(*.f32 #s(literal 2 binary32) #s(literal 2/3 binary32))
#s(literal 4/3 binary32)
#s(literal 2 binary32)
#s(literal 2/3 binary32)
(*.f32 #s(literal 2 binary32) #s(literal 3/2 binary32))
#s(literal 3 binary32)
#s(literal 2 binary32)
#s(literal 3/2 binary32)
Results
14.0ms256×0valid
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (88.8% of total)
const: 1.0ms (22.2% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
2 → 0
Calls
Call 1
Inputs
#<alt (*.f32 #s(literal 2 binary32) #s(literal 2/3 binary32))>
#<alt (*.f32 #s(literal 2 binary32) #s(literal 3/2 binary32))>
Outputs

rewrite23.0ms (0.4%)

Algorithm
batch-egg-rewrite
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092
Stop Event
saturated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) #s(literal 2/3 binary32))
(*.f32 #s(literal 2 binary32) #s(literal 3/2 binary32))
Outputs
#s(literal 4/3 binary32)
#s(literal 3 binary32)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
Stop Event
saturated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 4/3 binary32)
#s(literal 3 binary32)
Outputs
#s(literal 4/3 binary32)
#s(literal 3 binary32)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune57.0ms (1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New022
Fresh000
Picked314
Done077
Total31013
Accuracy
100.0%
Counts
13 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
96.5%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
97.2%
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x x))))
54.7%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
97.2%
(log.f32 (+.f32 x x))
98.7%
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
44.0%
(log.f32 x)
30.9%
#s(literal 255/4 binary32)
22.9%
#s(literal 3 binary32)
21.5%
#s(literal 4/3 binary32)
Compiler

Compiled 136 to 90 computations (33.8% saved)

regimes15.0ms (0.3%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 5/4 binary32)
#s(literal 4/3 binary32)
#s(literal 3 binary32)
#s(literal 255/4 binary32)
(*.f32 #s(literal 2 binary32) #s(literal 2/3 binary32))
(*.f32 #s(literal 2 binary32) #s(literal 3/2 binary32))
(+.f32 #s(literal -4 binary32) (/.f32 x #s(literal -4 binary32)))
(log.f32 x)
(log.f32 (+.f32 x x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x x))))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
Outputs
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
Calls

3 calls:

5.0ms
x
5.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
5.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
98.7%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 5/4 binary32)
#s(literal 4/3 binary32)
#s(literal 3 binary32)
#s(literal 255/4 binary32)
(*.f32 #s(literal 2 binary32) #s(literal 2/3 binary32))
(*.f32 #s(literal 2 binary32) #s(literal 3/2 binary32))
(+.f32 #s(literal -4 binary32) (/.f32 x #s(literal -4 binary32)))
(log.f32 x)
(log.f32 (+.f32 x x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 x x))))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Outputs
(log.f32 (+.f32 x x))
Calls

3 calls:

5.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
4.0ms
x
4.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Results
AccuracySegmentsBranch
97.2%1x
97.2%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
97.2%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 5/4 binary32)
#s(literal 4/3 binary32)
#s(literal 3 binary32)
#s(literal 255/4 binary32)
(*.f32 #s(literal 2 binary32) #s(literal 2/3 binary32))
(*.f32 #s(literal 2 binary32) #s(literal 3/2 binary32))
(+.f32 #s(literal -4 binary32) (/.f32 x #s(literal -4 binary32)))
(log.f32 x)
Outputs
(log.f32 x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
44.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 5/4 binary32)
#s(literal 4/3 binary32)
#s(literal 3 binary32)
#s(literal 255/4 binary32)
(*.f32 #s(literal 2 binary32) #s(literal 2/3 binary32))
(*.f32 #s(literal 2 binary32) #s(literal 3/2 binary32))
(+.f32 #s(literal -4 binary32) (/.f32 x #s(literal -4 binary32)))
Outputs
#s(literal 255/4 binary32)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
30.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 5/4 binary32)
#s(literal 4/3 binary32)
#s(literal 3 binary32)
Outputs
#s(literal 3 binary32)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
22.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 5/4 binary32)
#s(literal 4/3 binary32)
Outputs
#s(literal 4/3 binary32)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
21.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 5/4 binary32)
Outputs
#s(literal 5/4 binary32)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
21.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02064
12364
23264
33864
44364
54564
Stop Event
saturated
Calls
Call 1
Inputs
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
(log.f32 (+.f32 x x))
(log.f32 x)
#s(literal 255/4 binary32)
#s(literal 3 binary32)
#s(literal 4/3 binary32)
#s(literal 5/4 binary32)
Outputs
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
(log.f32 (+.f32 x x))
(log.f32 x)
#s(literal 255/4 binary32)
#s(literal 3 binary32)
#s(literal 4/3 binary32)
#s(literal 5/4 binary32)

soundness1.4s (24.3%)

Rules
1296×distribute-lft-in
1206×distribute-rgt-in
1196×unpow-prod-down
1190×unpow-prod-down
812×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092
01289
115589
2207689
06724294979686
113474294979390
237184294978653
012528917
145288917
010334294972348
124814294972348
01476
117251
2233251
Stop Event
fuel
node limit
unsound
unsound
node limit
node limit
saturated
Compiler

Compiled 928 to 292 computations (68.5% saved)

preprocess45.0ms (0.8%)

Compiler

Compiled 88 to 62 computations (29.5% saved)

end0.0ms (0%)

Profiling

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