Rust f32::acosh

Time bar (total: 3.9s)

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)

sample633.0ms (16.1%)

Results
374.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 230.0ms
ival-acosh: 173.0ms (75.3% of total)
ival->=: 47.0ms (20.5% of total)
const: 7.0ms (3% of total)
backward-pass: 3.0ms (1.3% of total)
Bogosity

preprocess261.0ms (6.6%)

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)))

explain107.0ms (2.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1180-0-(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
63.0ms512×0valid
Compiler

Compiled 80 to 43 computations (46.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-sqrt: 11.0ms (25.4% of total)
ival-sub: 10.0ms (23.1% of total)
ival-log: 8.0ms (18.5% of total)
ival-add: 7.0ms (16.2% of total)
ival-mult: 5.0ms (11.6% of total)
const: 2.0ms (4.6% 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
56.9%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize277.0ms (7.1%)

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 (*.f32 x x) #s(literal 1 binary32))
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)))))
accuracy60.4%
(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
31.0ms256×0valid
Compiler

Compiled 35 to 18 computations (48.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sqrt: 6.0ms (28.1% of total)
ival-sub: 5.0ms (23.4% of total)
ival-add: 4.0ms (18.7% of total)
ival-log: 3.0ms (14% of total)
ival-mult: 2.0ms (9.4% of total)
const: 1.0ms (4.7% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.2%)

Counts
5 → 60
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 (*.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 #s(literal -1 binary32)>
#<alt (-.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (-.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (-.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (pow.f32 x #s(literal 2 binary32))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (pow.f32 x #s(literal 2 binary32))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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))>
#<alt (pow.f32 x #s(literal 2 binary32))>
Calls

15 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))

rewrite324.0ms (8.3%)

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
012104
1155104
22076104
Stop Event
node limit
Counts
5 → 315
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 (*.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))))
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(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 (pow.f32 x #s(literal 2 binary32)) #s(literal -1 binary32))
(+.f32 (pow.f32 x #s(literal 2 binary32)) (log.f32 (exp.f32 #s(literal -1 binary32))))
(+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 2 binary32)))
(+.f32 #s(literal 0 binary32) (fma.f32 x x #s(literal -1 binary32)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (fma.f32 x x #s(literal -1 binary32)))) (cbrt.f32 (exp.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (cbrt.f32 (exp.f32 (fma.f32 x x #s(literal -1 binary32))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 (fma.f32 x x #s(literal -1 binary32)) (log.f32 (exp.f32 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)))
(*.f32 (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)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 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 binary32)))
(*.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (*.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) (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 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) #s(literal 1 binary32)))
(*.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 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 binary32)))
(*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))
(*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 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 (+.f32 x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (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 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (fma.f32 x x #s(literal -1 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 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (cbrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (*.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (pow.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.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 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 1/3 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1/3 binary32)) (pow.f32 (+.f32 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 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 x x #s(literal 1 binary32))))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) #s(literal 6 binary32))
(pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) #s(literal 2/3 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 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 4 binary32))
(pow.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 x x #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 x x #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))
(log1p.f32 (expm1.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 3 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/3 binary32)))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (*.f32 (cbrt.f32 x) x) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) (*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 x) (pow.f32 x #s(literal 3/2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (sqrt.f32 x) #s(literal -1 binary32))
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (cbrt.f32 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))

simplify265.0ms (6.7%)

Algorithm
egg-herbie
Rules
1172×times-frac
776×fma-neg
672×associate-*r*
656×associate-*l*
528×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
08358589949875
116828589949487
249578589948590
Stop Event
node limit
Counts
375 → 495
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)
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(*.f32 (pow.f32 (*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 1/3 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1/3 binary32)) (pow.f32 (+.f32 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 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 x x #s(literal 1 binary32))))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) #s(literal 6 binary32))
(pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) #s(literal 2/3 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 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 4 binary32))
(pow.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 x x #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 x x #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))
(log1p.f32 (expm1.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 3 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/3 binary32)))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (*.f32 (cbrt.f32 x) x) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) (*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 x) (pow.f32 x #s(literal 3/2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (sqrt.f32 x) #s(literal -1 binary32))
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (cbrt.f32 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)))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (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) (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)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal -1/8 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)))
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 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 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 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 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 x (+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 #s(literal -1 binary32) x)
(neg.f32 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 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 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 (neg.f32 x) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32)))) (neg.f32 x))
(*.f32 x (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 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)))))))
(*.f32 (neg.f32 x) (+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 2 binary32)))) (neg.f32 x))
(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 (fma.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))))))
(fma.f32 x (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 x (fma.f32 (/.f32 (pow.f32 x #s(literal 2 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (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 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 #s(literal 3/40 binary32) (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) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))
(fma.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 3/40 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal -1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (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 (log.f32 #s(literal 2 binary32)) (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (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)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (neg.f32 (neg.f32 (log.f32 x))) (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.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 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))))))
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(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))

eval405.0ms (10.3%)

Compiler

Compiled 8935 to 6677 computations (25.3% saved)

prune94.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4905495
Fresh000
Picked011
Done000
Total4906496
Accuracy
100.0%
Counts
496 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
56.3%
(*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 3 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
56.9%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
97.5%
(log.f32 (+.f32 x x))
98.8%
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))
98.6%
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
Compiler

Compiled 114 to 89 computations (21.9% saved)

localize728.0ms (18.6%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff96
(log.f32 (*.f32 x (-.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 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32)))))
cost-diff96
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))
cost-diff128
(*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 3 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
accuracy97.5%
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))
accuracy97.1%
(/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))
accuracy97.0%
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32)))
accuracy60.4%
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
Rules
1008×fma-define
970×div-sub
782×times-frac
736×unsub-neg
730×sub-neg
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
035610
153598
299598
3221598
4516558
51141558
61908556
74135556
86319556
Stop Event
node limit
Calls
Call 1
Inputs
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32)))))
x
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))
#s(literal 2 binary32)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32)))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))
#s(literal 1/8 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
(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))
(*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 3 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
#s(literal 1/3 binary32)
(*.f32 #s(literal 3 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
#s(literal 3 binary32)
(log.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 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))
(log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))
(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) x)))
(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) x)))
(log.f32 (+.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32)))))
(fma.f32 x #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) x))
(fma.f32 x #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) x))
(+.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32))))
x
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))
(+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))
(+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) x)) (pow.f32 x #s(literal 3 binary32))))
#s(literal 2 binary32)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (fma.f32 x #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) x)) (pow.f32 x #s(literal 3 binary32)))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))
#s(literal 1/8 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
(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 (+.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)))))
(*.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))
(*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 3 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(*.f32 #s(literal 1 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
#s(literal 1/3 binary32)
(*.f32 #s(literal 3 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
#s(literal 3 binary32)
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 #s(literal 1 binary32) (log.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
218.0ms256×0valid
Compiler

Compiled 182 to 133 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-pow: 47.0ms (27.4% of total)
ival-div: 31.0ms (18.1% of total)
ival-log: 27.0ms (15.8% of total)
ival-fma: 16.0ms (9.3% of total)
ival-add: 15.0ms (8.8% of total)
ival-mult: 13.0ms (7.6% of total)
ival-sqrt: 9.0ms (5.3% of total)
ival-sub: 8.0ms (4.7% of total)
const: 6.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.4%)

Counts
8 → 72
Calls
Call 1
Inputs
#<alt (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))>
#<alt (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 3 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))>
#<alt (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 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))))))>
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 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))>
#<alt (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 4 binary32)))>
#<alt (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 4 binary32)))>
#<alt (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 4 binary32)))>
#<alt (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<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))))) (pow.f32 x #s(literal 2 binary32)))>
#<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))))) (pow.f32 x #s(literal 2 binary32)))>
#<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))))) (pow.f32 x #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<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))))) (pow.f32 x #s(literal 2 binary32)))>
#<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))))) (pow.f32 x #s(literal 2 binary32)))>
#<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))))) (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 (+.f32 (log.f32 #s(literal -1/8 binary32)) (*.f32 #s(literal -3 binary32) (log.f32 x)))>
#<alt (+.f32 (log.f32 #s(literal -1/8 binary32)) (+.f32 (*.f32 #s(literal -3 binary32) (log.f32 x)) (*.f32 #s(literal 4 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal -1/8 binary32)) (+.f32 (*.f32 #s(literal -3 binary32) (log.f32 x)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 4 binary32) (*.f32 #s(literal -24 binary32) (pow.f32 x #s(literal 2 binary32)))))))>
#<alt (+.f32 (log.f32 #s(literal -1/8 binary32)) (+.f32 (*.f32 #s(literal -3 binary32) (log.f32 x)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 4 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 256/3 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 24 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 1/48 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 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 1/48 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 -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))>
#<alt (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32)))>
#<alt (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32))) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32)))>
#<alt (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32))) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 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 #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 #s(literal 2 binary32) x)>
#<alt (*.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))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (+.f32 (/.f32 #s(literal 1/8 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))))) #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (+.f32 (/.f32 #s(literal 1/8 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))))) #s(literal 2 binary32))))>
#<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)))))>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@0
(log (* x (- 2 (/ (+ 1/2 (/ 1/8 (pow x 2))) (pow x 2)))))
1.0ms
x
@-inf
(log (* x (- 2 (/ (+ 1/2 (/ 1/8 (pow x 2))) (pow x 2)))))
1.0ms
x
@0
(log (* x (- 2 (/ 1/2 (pow x 2)))))
1.0ms
x
@inf
(log (* x (- 2 (/ 1/2 (pow x 2)))))
1.0ms
x
@inf
(log (* x (- 2 (/ (+ 1/2 (/ 1/8 (pow x 2))) (pow x 2)))))

rewrite199.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
1330×log1p-expm1-u
310×associate-*r*
192×associate-*l*
183×expm1-log1p-u
180×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030263
1429251
25744251
Stop Event
node limit
Counts
8 → 192
Calls
Call 1
Inputs
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32)))
(/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))
(*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 3 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 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))))))
Outputs
(-.f32 (exp.f32 (log1p.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))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) (cbrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 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 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x 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)))))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 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 2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(log.f32 (exp.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)))
(expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))
(*.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))
(*.f32 (cbrt.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))) (pow.f32 (cbrt.f32 (*.f32 (fma.f32 #s(literal 1/8 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 (pow.f32 (cbrt.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) (pow.f32 x #s(literal 2 binary32))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) (pow.f32 x #s(literal -2 binary32))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x) (/.f32 (sqrt.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) x))
(*.f32 (sqrt.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) (/.f32 (sqrt.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) (pow.f32 x #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) (*.f32 (sqrt.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) (pow.f32 x #s(literal -2 binary32))))
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(sqrt.f32 (pow.f32 (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))))))
(log1p.f32 (-.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 1 binary32)))
(+.f32 (*.f32 x #s(literal 2 binary32)) (*.f32 x (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (neg.f32 (pow.f32 x #s(literal -2 binary32))))))
(+.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (neg.f32 (pow.f32 x #s(literal -2 binary32)))) x))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 1 binary32))
(/.f32 (*.f32 x (-.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) #s(literal 3 binary32)))) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))))
(/.f32 (*.f32 x (-.f32 #s(literal 4 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32))))) (+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 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 8 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) #s(literal 3 binary32))) x) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 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 4 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) x) (+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))
(pow.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #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 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #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 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))))) (sqrt.f32 (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))))))
(sqrt.f32 (pow.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 x) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))))))
(cbrt.f32 (pow.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))))
(log1p.f32 (expm1.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))))
(exp.f32 (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #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 (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 (*.f32 (log.f32 x) #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))))) #s(literal 1 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 (*.f32 (log.f32 x) (log.f32 x)) (-.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 (*.f32 (log.f32 x) (log.f32 x)) (*.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))
(sqrt.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 2 binary32)))
(cbrt.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)))
(expm1.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))))))))
(log1p.f32 (-.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)))
(exp.f32 (log.f32 (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(exp.f32 (*.f32 (log.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)))

simplify159.0ms (4.1%)

Algorithm
egg-herbie
Rules
916×distribute-lft-in
864×distribute-rgt-in
626×associate-+l+
622×associate-+r+
500×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063711531
1139310765
2386610414
Stop Event
node limit
Counts
264 → 386
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)))))))
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 4 binary32)))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 4 binary32)))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 4 binary32)))
(/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 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 (+.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 (+.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 1/2 binary32) (pow.f32 x #s(literal 2 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 (+.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 (+.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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(/.f32 (*.f32 x (-.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) #s(literal 3 binary32)))) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))))
(/.f32 (*.f32 x (-.f32 #s(literal 4 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32))))) (+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 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 8 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) #s(literal 3 binary32))) x) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 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 4 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) x) (+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))
(pow.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #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 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #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 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))))) (sqrt.f32 (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))))))
(sqrt.f32 (pow.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 x) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))))))
(cbrt.f32 (pow.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))))
(log1p.f32 (expm1.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))))))
(exp.f32 (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -2 binary32)) #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 (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 (*.f32 (log.f32 x) #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))))) #s(literal 1 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 (*.f32 (log.f32 x) (log.f32 x)) (-.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 (*.f32 (log.f32 x) (log.f32 x)) (*.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))
(sqrt.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 2 binary32)))
(cbrt.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)))
(expm1.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))))))))
(log1p.f32 (-.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)))
(exp.f32 (log.f32 (log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(exp.f32 (*.f32 (log.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)))
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)))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (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) (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)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1/16 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal -1/8 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 (pow.f32 x #s(literal 2 binary32)) (fma.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) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.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 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 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 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 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 x (+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 x (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 #s(literal -1 binary32) x)
(neg.f32 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 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 2 binary32)))) (neg.f32 x))
(*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 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 (neg.f32 x) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32)))) (neg.f32 x))
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(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 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #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 (pow.f32 (cbrt.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #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 #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 #s(literal 2 binary32) (log.f32 (sqrt.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32))))))
(+.f32 (*.f32 (log.f32 x) #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))))) #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) (log.f32 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #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))
(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 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 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))
(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 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 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)))))))
(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 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #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)))
(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 (fma.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))))))))
(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 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #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))))))))
(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 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #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 (*.f32 (log.f32 x) (log.f32 x)) (-.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 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))) (fma.f32 (log.f32 x) (log.f32 x) (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.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 x)))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32))) (fma.f32 (log.f32 x) (log.f32 x) (*.f32 (log.f32 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32))) (-.f32 (log.f32 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32))) (log.f32 x)))))
(/.f32 (-.f32 (*.f32 (log.f32 x) (log.f32 x)) (*.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 (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) (log.f32 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #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))
(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 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #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 3 binary32))
(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 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 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))
(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 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 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))
(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 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32))))
(sqrt.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 2 binary32)))
(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 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32))))
(cbrt.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)))
(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 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32))))
(expm1.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))))))))
(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 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32))))
(log1p.f32 (-.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)))
(log1p.f32 (fma.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))) #s(literal -1 binary32)))
(log1p.f32 (fma.f32 x (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)))
(exp.f32 (log.f32 (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 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))
(log.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.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)))
(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 (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32))))

eval105.0ms (2.7%)

Compiler

Compiled 7407 to 6040 computations (18.5% saved)

prune60.0ms (1.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3860386
Fresh000
Picked055
Done011
Total3866392
Accuracy
100.0%
Counts
392 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
56.3%
(*.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 3 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
56.9%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
97.5%
(log.f32 (+.f32 x x))
98.8%
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))
98.6%
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
Compiler

Compiled 119 to 91 computations (23.5% saved)

regimes20.0ms (0.5%)

Counts
6 → 1
Calls
Call 1
Inputs
(log.f32 (+.f32 x x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 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 #s(literal 1/3 binary32) (*.f32 #s(literal 3 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))
Outputs
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))
Calls

3 calls:

16.0ms
x
2.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
98.8%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(log.f32 (+.f32 x x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 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 #s(literal 1/3 binary32) (*.f32 #s(literal 3 binary32) (log.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:

2.0ms
x
2.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Results
AccuracySegmentsBranch
98.6%1x
98.6%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
98.6%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -13.8b remaining (-1742.5%)

Threshold costs -13.8b (-1742.5%)

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

3 calls:

2.0ms
x
1.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
1.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Results
AccuracySegmentsBranch
97.5%1x
97.5%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
97.5%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
20×+-commutative
18×sub-neg
18×*-commutative
14×neg-sub0
14×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022108
129108
244108
357108
472108
579108
682108
783108
Stop Event
saturated
Calls
Call 1
Inputs
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 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))))))
(log.f32 (+.f32 x x))
Outputs
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 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))))))
(log.f32 (+.f32 x x))

soundness209.0ms (5.3%)

Rules
1172×times-frac
776×fma-neg
672×associate-*r*
656×associate-*l*
528×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
08358589949875
116828589949487
249578589948590
Stop Event
done
node limit
Compiler

Compiled 158 to 130 computations (17.7% saved)

preprocess37.0ms (0.9%)

Compiler

Compiled 108 to 82 computations (24.1% saved)

end0.0ms (0%)

Profiling

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