Rust f32::atanh

Time bar (total: 1.9s)

analyze2.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.6%0.4%0%0%0%0
0%0%99.6%0.4%0%0%0%1
0%0%99.6%0.4%0%0%0%2
0%0%49.8%0.4%0%49.8%0%3
50%24.9%24.9%0.4%0%49.8%0%4
75%37.4%12.5%0.4%0%49.8%0%5
87.5%43.6%6.2%0.4%0%49.8%0%6
93.8%46.7%3.1%0.4%0%49.8%0%7
96.9%48.2%1.6%0.4%0%49.8%0%8
98.4%49%0.8%0.4%0%49.8%0%9
99.2%49.4%0.4%0.4%0%49.8%0%10
99.6%49.4%0.2%0.4%0%50%0%11
99.8%49.5%0.1%0.4%0%50%0%12
Compiler

Compiled 4 to 3 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-atanh: 1.0ms (165.8% of total)
const: 0.0ms (0% of total)

sample410.0ms (21.3%)

Results
259.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-atanh: 123.0ms (92.9% of total)
const: 6.0ms (4.5% of total)
backward-pass: 3.0ms (2.3% of total)
Bogosity

preprocess51.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
252×fma-define
48×sub-neg
44×fma-neg
26×*-commutative
24×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01871
13571
24571
35871
47371
59271
614971
725671
831471
934971
1037271
1138371
1243971
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(atanh.f32 x)
(atanh.f32 (neg.f32 x))
(neg.f32 (atanh.f32 (neg.f32 x)))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(atanh.f32 x)
(atanh.f32 (neg.f32 x))
(neg.f32 (atanh.f32 (neg.f32 x)))

explain152.0ms (7.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
00-0-(*.f32 #s(literal 2 binary32) x)
00-0-(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
00-0-(-.f32 #s(literal 1 binary32) x)
00-0-(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
00-0-#s(literal 1/2 binary32)
00-0-#s(literal 1 binary32)
00-0-#s(literal 2 binary32)
Results
108.0ms512×256valid
Compiler

Compiled 85 to 65 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
<compiled-spec>: 36.0ms (31.1% of total)
ival-log: 27.0ms (23.4% of total)
ival-mult: 19.0ms (16.4% of total)
ival-div: 12.0ms (10.4% of total)
ival-sub: 12.0ms (10.4% of total)
ival-add: 6.0ms (5.2% of total)
const: 4.0ms (3.5% of total)

eval0.0ms (0%)

Compiler

Compiled 11 to 9 computations (18.2% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶99.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize142.0ms (7.4%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓99.9%
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
✓99.8%
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
✓99.9%
(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
✓99.9%
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
✓99.8%
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
Results
102.0ms256×256valid
Compiler

Compiled 74 to 56 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
<compiled-spec>: 34.0ms (30.4% of total)
ival-log: 26.0ms (23.2% of total)
ival-div: 16.0ms (14.3% of total)
ival-mult: 16.0ms (14.3% of total)
ival-sub: 11.0ms (9.8% of total)
ival-add: 5.0ms (4.5% of total)
const: 3.0ms (2.7% of total)

series8.0ms (0.4%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))>
#<alt (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))>
#<alt (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))>
#<alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))>
#<alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))>
Outputs
#<alt #s(literal 2 binary32)>
#<alt (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))>
#<alt (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))))>
#<alt (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))))))>
#<alt (/.f32 #s(literal -2 binary32) x)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x))>
#<alt (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32)) x)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))) x)>
#<alt (/.f32 #s(literal -2 binary32) x)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))) x))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32)) x))) x))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))>
#<alt (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))))>
#<alt (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))))))>
#<alt #s(literal -2 binary32)>
#<alt (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))>
#<alt (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt #s(literal -2 binary32)>
#<alt (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))>
#<alt (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))) x)) #s(literal 2 binary32))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))))))>
#<alt (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/5 binary32) (*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 2 binary32)))))))))>
#<alt (log.f32 #s(literal -1 binary32))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))))))>
#<alt (log.f32 #s(literal -1 binary32))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32)) x)))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))>
#<alt (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))))>
#<alt (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))))))>
#<alt #s(literal -2 binary32)>
#<alt (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))>
#<alt (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt #s(literal -2 binary32)>
#<alt (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))>
#<alt (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))) x)) #s(literal 2 binary32))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))))))>
#<alt (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/5 binary32) (*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 2 binary32)))))))))>
#<alt (log.f32 #s(literal -1 binary32))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))))))>
#<alt (log.f32 #s(literal -1 binary32))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32)) x)))>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log (+ 1 (* x (/ 2 (- 1 x)))))
1.0ms
x
@inf
(log (+ 1 (* x (/ 2 (- 1 x)))))
1.0ms
x
@-inf
(log (+ 1 (* x (/ 2 (- 1 x)))))
0.0ms
x
@-inf
(/ 2 (- 1 x))
0.0ms
x
@inf
(/ 2 (- 1 x))

rewrite225.0ms (11.7%)

Algorithm
1×batch-egg-rewrite
Rules
1800×prod-diff
894×log-prod
793×log1p-expm1-u
793×expm1-log1p-u
256×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015124
1200124
22168124
Stop Event
1×node limit
Counts
5 → 165
Calls
Call 1
Inputs
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
Outputs
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (cbrt.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (cbrt.f32 (/.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (/.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (sqrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x (+.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) x))
(pow.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 x #s(literal 2 binary32))) #s(literal -1 binary32))
(neg.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) x)))
(sqrt.f32 (/.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))))
(log.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(exp.f32 (log.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
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(+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) (log.f32 (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) (log.f32 (sqrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(*.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (sqrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)))
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 1 binary32)))

simplify104.0ms (5.4%)

Algorithm
1×egg-herbie
Rules
1136×associate-/r*
872×distribute-lft-in
752×distribute-rgt-in
518×distribute-lft-neg-out
420×distribute-rgt-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03356903
17596305
228366279
Stop Event
1×node limit
Counts
225 → 223
Calls
Call 1
Inputs
#s(literal 2 binary32)
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))))))
(/.f32 #s(literal -2 binary32) x)
(*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32)) x)
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))) x)
(/.f32 #s(literal -2 binary32) x)
(*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x))
(*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))) x))
(*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32)) x))) x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))))
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))))))
#s(literal -2 binary32)
(*.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))
(-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))
(-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))
#s(literal -2 binary32)
(*.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))
(-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))
(-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))) x)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))))))
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/5 binary32) (*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 2 binary32)))))))))
(log.f32 #s(literal -1 binary32))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))))))
(log.f32 #s(literal -1 binary32))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32)) x)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))))
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))))))
#s(literal -2 binary32)
(*.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))
(-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))
(-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))
#s(literal -2 binary32)
(*.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))
(-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))
(-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))) x)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))))))
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/5 binary32) (*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 2 binary32)))))))))
(log.f32 #s(literal -1 binary32))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))))))
(log.f32 #s(literal -1 binary32))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32)) x)))
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (cbrt.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (cbrt.f32 (/.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (/.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (sqrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x (+.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) x))
(pow.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 x #s(literal 2 binary32))) #s(literal -1 binary32))
(neg.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) x)))
(sqrt.f32 (/.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))))
(log.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(exp.f32 (log.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (cbrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))
(-.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)) #s(literal 1 binary32)))
(/.f32 x (-.f32 #s(literal 1/2 binary32) (/.f32 x #s(literal 2 binary32))))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 x #s(literal -2 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))))
(/.f32 (neg.f32 (*.f32 x #s(literal -2 binary32))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (sqrt.f32 (-.f32 #s(literal 1 binary32) x))) (sqrt.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x))
(/.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (cbrt.f32 (-.f32 #s(literal 1 binary32) x)))
(pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32))
(pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)) #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(neg.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) x)))
(sqrt.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(log1p.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(exp.f32 (log.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (*.f32 (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) (log.f32 (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) (log.f32 (sqrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(*.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (sqrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)))
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (cbrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))
(-.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) x))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
(*.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (/.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (*.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) x))
(*.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(*.f32 (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 4 binary32))) (/.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 4 binary32))) (*.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (*.f32 (cbrt.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (*.f32 (sqrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) x))
(*.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (sqrt.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(*.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) x)) (*.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (*.f32 x #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal 2 binary32) x))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (/.f32 x (cbrt.f32 (-.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) x))) (/.f32 x (sqrt.f32 (-.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 x (sqrt.f32 (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) x) (cbrt.f32 (-.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (sqrt.f32 (-.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 x #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) (cbrt.f32 (-.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 4 binary32))) (pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (cbrt.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(*.f32 (/.f32 (cbrt.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 4 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) x))) (/.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) x)) (sqrt.f32 (-.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) x)) (pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) x)) (cbrt.f32 (-.f32 #s(literal 1 binary32) x))))
(*.f32 (*.f32 x (cbrt.f32 (/.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))))) (cbrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (*.f32 x (sqrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (sqrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (cbrt.f32 x))
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) (sqrt.f32 x)) (sqrt.f32 x))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x (+.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) x))
(pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32))
(pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)) #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(neg.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) x)))
(sqrt.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(log1p.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(exp.f32 (log.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (*.f32 (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) (log.f32 (cbrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) (log.f32 (sqrt.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(*.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (sqrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)))
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 1 binary32)))
Outputs
#s(literal 2 binary32)
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))))
(fma.f32 x (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))))))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
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#s(literal -2 binary32)
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(log1p.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 3 binary32))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 2 binary32))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 1 binary32)))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))

eval56.0ms (2.9%)

Compiler

Compiled 3535 to 2922 computations (17.3% saved)

prune40.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2185223
Fresh000
Picked022
Done000
Total2187225
Accuracy
100.0%
Counts
225 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.5%
(*.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 3 binary32)))
▶99.2%
(*.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/3 binary32)))))
✓99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶99.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))
✓99.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
▶92.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x #s(literal 2 binary32))))
▶-0.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(literal -2 binary32)))
Compiler

Compiled 120 to 104 computations (13.3% saved)

localize649.0ms (33.8%)

Results
278.0ms256×256invalid
Compiler

Compiled 164 to 132 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 306.0ms
<compiled-spec>: 75.0ms (24.5% of total)
ival-log: 55.0ms (18% of total)
ival-pow: 53.0ms (17.3% of total)
ival-div: 40.0ms (13.1% of total)
ival-mult: 37.0ms (12.1% of total)
ival-add: 23.0ms (7.5% of total)
ival-sub: 9.0ms (2.9% of total)
const: 8.0ms (2.6% of total)
ival-cbrt: 6.0ms (2% of total)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New000
Fresh000
Picked055
Done022
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.5%
(*.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 3 binary32)))
✓99.2%
(*.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/3 binary32)))))
✓99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓99.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))
✓99.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
✓92.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x #s(literal 2 binary32))))
✓-0.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(literal -2 binary32)))
Compiler

Compiled 136 to 116 computations (14.7% saved)

regimes15.0ms (0.8%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(literal -2 binary32)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x #s(literal 2 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/3 binary32)))))
(*.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 3 binary32)))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
Calls

4 calls:

7.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.8%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.8%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes2.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(literal -2 binary32)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x #s(literal 2 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(literal -2 binary32)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x #s(literal 2 binary32))))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x #s(literal 2 binary32))))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
92.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(literal -2 binary32)))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(literal -2 binary32)))
Calls

1 calls:

0.0ms
x
Results
AccuracySegmentsBranch
-0.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
14×*-commutative
4×sub-neg
4×+-commutative
3×1-exp
2×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024101
137101
241101
343101
444101
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x #s(literal 2 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(literal -2 binary32)))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x #s(literal 2 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) x)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(literal -2 binary32)))

soundness27.0ms (1.4%)

Rules
252×fma-define
48×sub-neg
44×fma-neg
26×*-commutative
24×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01871
13571
24571
35871
47371
59271
614971
725671
831471
934971
1037271
1138371
1243971
Stop Event
1×done
1×saturated
Compiler

Compiled 62 to 51 computations (17.7% saved)

preprocess27.0ms (1.4%)

Compiler

Compiled 84 to 70 computations (16.7% saved)

end0.0ms (0%)

Profiling

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