Details

Time bar (total: 6.1s)

analyze6.0ms (0.1%)

Algorithm
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)

sample1.1s (17.7%)

Results
1.1s8256×body256valid
Bogosity

preprocess9.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(atanh.f32 x)
Outputs
(atanh.f32 x)
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify50.0ms (0.8%)

Algorithm
egg-herbie
Rules
1616×rational.json-simplify-29
902×rational.json-simplify-31
882×rational.json-simplify-27
766×rational.json-simplify-37
654×rational.json-simplify-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
12529
26829
323129
4114829
5773729
Stop Event
node limit
Counts
1 → 5
Calls
Call 1
Inputs
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
Outputs
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
(*.f32 1/2 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(*.f32 1/2 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))
(*.f32 1/2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(*.f32 1/2 (log1p.f32 (*.f32 x (/.f32 -2 (-.f32 x 1)))))

eval1.0ms (0%)

Compiler

Compiled 51 to 41 computations (19.6% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New325
Fresh011
Picked000
Done000
Total336
Error
0.1b
Counts
6 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
0.1b
(*.f32 1/2 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize40.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))
0.1b
(/.f32 2 (-.f32 1 x))
0.1b
(*.f32 x (/.f32 2 (-.f32 1 x)))
Compiler

Compiled 38 to 29 computations (23.7% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))
0.0ms
x
@-inf
(log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))
0.0ms
x
@inf
(log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))
0.0ms
x
@inf
(*.f32 x (/.f32 2 (-.f32 1 x)))
0.0ms
x
@0
(*.f32 x (/.f32 2 (-.f32 1 x)))

rewrite76.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
990×rational.json-simplify-5
878×rational.json-simplify-1
830×rational.json-simplify-31
682×rational.json-simplify-13
630×rational.json-simplify-19
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01055
16855
225255
3135855
Stop Event
node limit
Counts
3 → 325
Calls
Call 1
Inputs
(*.f32 x (/.f32 2 (-.f32 1 x)))
(/.f32 2 (-.f32 1 x))
(log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))
Outputs
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(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 1 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (/.f32 1 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))))

simplify116.0ms (1.9%)

Algorithm
egg-herbie
Rules
898×rational.json-simplify-11
774×rational.json-simplify-21
768×rational.json-simplify-14
742×rational.json-simplify-13
552×rational.json-simplify-19
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06639983
124339735
Stop Event
node limit
Counts
361 → 440
Calls
Call 1
Inputs
(*.f32 2 x)
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
2
(+.f32 (*.f32 2 x) 2)
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 x) 2))
(+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 x) 2)))
(/.f32 -2 x)
(neg.f32 (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 2 (/.f32 1 (pow.f32 x 2)))))))
(/.f32 -2 x)
(neg.f32 (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 2 (/.f32 1 (pow.f32 x 2)))))))
(*.f32 2 x)
(+.f32 (*.f32 2 x) (*.f32 2/3 (pow.f32 x 3)))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 2/7 (pow.f32 x 7)) (+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (/.f32 0 (-.f32 1 x)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 -2 (-.f32 1 x)))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 0 (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (*.f32 x 0) (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 0 (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (*.f32 x 0) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 (*.f32 x 4) 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 0 (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (*.f32 x 0) (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (-.f32 0 (/.f32 0 (-.f32 1 x)))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (-.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x)))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (-.f32 (*.f32 x 0) (/.f32 0 (-.f32 1 x)))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (-.f32 0 (*.f32 x 0))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x 0))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (-.f32 (*.f32 x 0) (*.f32 x 0))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (-.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x)))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (-.f32 (*.f32 x 0) (/.f32 0 (-.f32 1 x)))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x 0))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (-.f32 (*.f32 x 0) (*.f32 x 0))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 x 0) (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 x 0) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 x 0) (-.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x)))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 x 0) (-.f32 (*.f32 x 0) (/.f32 0 (-.f32 1 x)))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 x 0) (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x 0))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 x 0) (-.f32 (*.f32 x 0) (*.f32 x 0))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 x 0) (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 0 (/.f32 0 (-.f32 1 x))) (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x))) (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (*.f32 x 0) (/.f32 0 (-.f32 1 x))) (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 0 (*.f32 x 0)) (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x 0)) (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (*.f32 x 0) (*.f32 x 0)) (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (*.f32 (*.f32 x 4) 0) (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 0 (/.f32 0 (-.f32 1 x))) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x))) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (*.f32 x 0) (/.f32 0 (-.f32 1 x))) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 0 (*.f32 x 0)) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x 0)) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (*.f32 x 0) (*.f32 x 0)) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (*.f32 (*.f32 x 4) 0) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 0 (/.f32 0 (-.f32 1 x))) (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 -2 (-.f32 1 x))))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x))) (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 -2 (-.f32 1 x))))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (*.f32 x 0) (/.f32 0 (-.f32 1 x))) (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 -2 (-.f32 1 x))))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 0 (*.f32 x 0)) (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 -2 (-.f32 1 x))))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x 0)) (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 -2 (-.f32 1 x))))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (*.f32 x 0) (*.f32 x 0)) (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 -2 (-.f32 1 x))))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 0 (/.f32 0 (-.f32 1 x))) (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x))) (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (*.f32 x 0) (/.f32 0 (-.f32 1 x))) (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 0 (*.f32 x 0)) (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x 0)) (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (-.f32 (*.f32 x 0) (*.f32 x 0)) (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (*.f32 (*.f32 x 4) 0) (*.f32 (*.f32 x 4) 0)))
(+.f32 0 (*.f32 2 (/.f32 x (-.f32 1 x))))
(+.f32 (*.f32 x (/.f32 -2 (-.f32 1 x))) (*.f32 x (/.f32 4 (-.f32 1 x))))
(+.f32 (/.f32 0 (-.f32 1 x)) (*.f32 2 (/.f32 x (-.f32 1 x))))
(+.f32 (*.f32 x 0) (*.f32 2 (/.f32 x (-.f32 1 x))))
(+.f32 (*.f32 x (/.f32 4 (-.f32 1 x))) (*.f32 x (/.f32 -2 (-.f32 1 x))))
(+.f32 (*.f32 x (/.f32 4 (-.f32 1 x))) (-.f32 (*.f32 x (/.f32 4 (-.f32 1 x))) (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 4 (-.f32 1 x))))))
(+.f32 (+.f32 (*.f32 x (/.f32 4 (-.f32 1 x))) (*.f32 x (/.f32 4 (-.f32 1 x)))) (-.f32 0 (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 4 (-.f32 1 x))))))
(+.f32 (+.f32 (*.f32 x (/.f32 4 (-.f32 1 x))) (*.f32 x (/.f32 4 (-.f32 1 x)))) (-.f32 (/.f32 0 (-.f32 1 x)) (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 4 (-.f32 1 x))))))
(+.f32 (+.f32 (*.f32 x (/.f32 4 (-.f32 1 x))) (*.f32 x (/.f32 4 (-.f32 1 x)))) (-.f32 (*.f32 x 0) (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 4 (-.f32 1 x))))))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (/.f32 0 (-.f32 1 x)))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x 0))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 -2 (-.f32 1 x)))))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 0 (/.f32 0 (-.f32 1 x))))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x))))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (*.f32 x 0) (/.f32 0 (-.f32 1 x))))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 0 (*.f32 x 0)))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x 0)))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (*.f32 x 0) (*.f32 x 0)))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 (*.f32 x 4) 0))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (*.f32 (*.f32 x 4) 0)))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x))))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x 0)))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (*.f32 (*.f32 x 4) 0)))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 x 0) (/.f32 0 (-.f32 1 x))))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 x 0) (*.f32 x 0)))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 x 0) (*.f32 (*.f32 x 4) 0)))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 -2 (-.f32 1 x)))) (/.f32 0 (-.f32 1 x))))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 (*.f32 x 4) 0) (/.f32 0 (-.f32 1 x))))
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(+.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(+.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (-.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))
(+.f32 (+.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) (-.f32 0 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))
(-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (+.f32 (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(-.f32 0 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (-.f32 0 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (/.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1))
(-.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(-.f32 (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(-.f32 (+.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(-.f32 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(-.f32 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) (-.f32 (+.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(-.f32 (-.f32 (+.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(*.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(*.f32 1/2 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(*.f32 -1 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(*.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(*.f32 -1/2 (-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(*.f32 -1/2 (-.f32 0 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(*.f32 -1/2 (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))
(*.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1/2)
(*.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1/2)
(/.f32 1 (/.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(/.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(/.f32 1/2 (/.f32 1 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(/.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(/.f32 -1 (/.f32 1 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(/.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(/.f32 (*.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1/2) -1)
(neg.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
Outputs
(*.f32 2 x)
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 3))))
(+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 4)))))
(+.f32 (+.f32 (*.f32 2 (pow.f32 x 4)) (*.f32 2 x)) (+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 (pow.f32 x 3))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (/.f32 2 x)))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 2)))))
(neg.f32 (+.f32 (/.f32 2 (pow.f32 x 2)) (+.f32 2 (/.f32 2 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 (pow.f32 x 3))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (/.f32 2 x)))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 2)))))
(neg.f32 (+.f32 (/.f32 2 (pow.f32 x 2)) (+.f32 2 (/.f32 2 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 (pow.f32 x 3))))))
2
(+.f32 (*.f32 2 x) 2)
(+.f32 2 (*.f32 2 x))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 x) 2))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 2 (pow.f32 x 2)) 2))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 2 (*.f32 2 x)))
(+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 x) 2)))
(+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (+.f32 (*.f32 2 (pow.f32 x 2)) 2)))
(+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 2 (*.f32 2 x))))
(/.f32 -2 x)
(neg.f32 (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 2))))
(neg.f32 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 (pow.f32 x 3)))))
(neg.f32 (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 2 (/.f32 1 (pow.f32 x 2)))))))
(neg.f32 (+.f32 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 (pow.f32 x 3)))) (/.f32 2 (pow.f32 x 4))))
(neg.f32 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (pow.f32 x 2)) (+.f32 (/.f32 2 (pow.f32 x 4)) (/.f32 2 (pow.f32 x 3))))))
(/.f32 -2 x)
(neg.f32 (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 2))))
(neg.f32 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 (pow.f32 x 3)))))
(neg.f32 (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 2 (/.f32 1 (pow.f32 x 2)))))))
(neg.f32 (+.f32 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 (pow.f32 x 3)))) (/.f32 2 (pow.f32 x 4))))
(neg.f32 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (pow.f32 x 2)) (+.f32 (/.f32 2 (pow.f32 x 4)) (/.f32 2 (pow.f32 x 3))))))
(*.f32 2 x)
(+.f32 (*.f32 2 x) (*.f32 2/3 (pow.f32 x 3)))
(+.f32 (*.f32 2 x) (*.f32 (pow.f32 x 3) 2/3))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 2 x))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 (*.f32 2 x) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 2/7 (pow.f32 x 7)) (+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5)))))
(+.f32 (+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 (*.f32 2 x) (*.f32 2/5 (pow.f32 x 5)))) (*.f32 2/7 (pow.f32 x 7)))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 (*.f32 2/7 (pow.f32 x 7)) (+.f32 (*.f32 2 x) (*.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (/.f32 2 x) (log.f32 -1))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (+.f32 (/.f32 2 x) (log.f32 -1)) (/.f32 2/3 (pow.f32 x 3)))
(+.f32 (/.f32 2 x) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (log.f32 -1)))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5)))))
(+.f32 (/.f32 2 x) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (+.f32 (log.f32 -1) (/.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (/.f32 2 x) (log.f32 -1))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (+.f32 (/.f32 2 x) (log.f32 -1)) (/.f32 2/3 (pow.f32 x 3)))
(+.f32 (/.f32 2 x) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (log.f32 -1)))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5)))))
(+.f32 (/.f32 2 x) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (+.f32 (log.f32 -1) (/.f32 2/5 (pow.f32 x 5)))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (/.f32 0 (-.f32 1 x)))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x 0))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (*.f32 x 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 -2 (-.f32 1 x)))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 2 (+.f32 x -1)))))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (/.f32 x (/.f32 (+.f32 x -1) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 0 (/.f32 0 (-.f32 1 x))))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x))))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (*.f32 x 0) (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x 0))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (*.f32 x 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 0 (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x 0))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (*.f32 x 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x 0))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (*.f32 x 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (*.f32 x 0) (*.f32 x 0)))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (-.f32 (*.f32 x 0) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 (*.f32 x 4) 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x 0))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (*.f32 x 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 0 (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x 0))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (*.f32 x 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x 0))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (*.f32 x 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (*.f32 x 0) (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (*.f32 x 0) (*.f32 x 0)))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (-.f32 (*.f32 x 0) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (-.f32 0 (/.f32 0 (-.f32 1 x)))))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (-.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x)))))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (-.f32 (*.f32 x 0) (/.f32 0 (-.f32 1 x)))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x 0))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (*.f32 x 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (-.f32 0 (*.f32 x 0))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x 0))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (*.f32 x 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x 0))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x 0))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (*.f32 x 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (-.f32 (*.f32 x 0) (*.f32 x 0))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (*.f32 x 0) (*.f32 x 0)))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (-.f32 (*.f32 x 0) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (*.f32 (*.f32 x 4) 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x 0))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (*.f32 x 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x))))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x 0)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x 0))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (*.f32 x 0))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (-.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x)))))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (-.f32 (*.f32 x 0) (/.f32 0 (-.f32 1 x)))))
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(/.f32 -2 (+.f32 x -1))
(neg.f32 (/.f32 -2 (-.f32 1 x)))
(/.f32 -2 (+.f32 x -1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(+.f32 0 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(-.f32 (*.f32 2 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))) (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))))
(+.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(-.f32 (*.f32 2 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))) (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))))
(+.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (-.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(-.f32 (*.f32 2 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))) (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))))
(+.f32 (+.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) (-.f32 0 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(-.f32 (*.f32 2 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))) (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))))
(-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (+.f32 (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(-.f32 0 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (-.f32 0 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(-.f32 (*.f32 2 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))) (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (/.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1))
(+.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(-.f32 (*.f32 2 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))) (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))))
(-.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(-.f32 (*.f32 2 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))) (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))))
(-.f32 (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(-.f32 (+.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(-.f32 (*.f32 2 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))) (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))))
(-.f32 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (-.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(+.f32 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))) (-.f32 (*.f32 2 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))) (*.f32 2 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))))))
(-.f32 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) (-.f32 (+.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(-.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (-.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(-.f32 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))) (-.f32 (*.f32 2 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))) (*.f32 2 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))))))
(-.f32 (-.f32 (+.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(-.f32 (-.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(-.f32 (-.f32 (*.f32 2 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))) (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))) (-.f32 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))) (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))))
(*.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(*.f32 1/2 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(*.f32 -1 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(*.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(*.f32 -1/2 (-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(*.f32 -1/2 (-.f32 0 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(*.f32 -1/2 (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))
(*.f32 1/2 (+.f32 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))) (-.f32 (*.f32 2 (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))) (log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1)))))))
(*.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1/2)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(*.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1/2)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(/.f32 1 (/.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(/.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(/.f32 1/2 (/.f32 1 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(/.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(/.f32 -1 (/.f32 1 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(/.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(/.f32 (*.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1/2) -1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))
(neg.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))))

localize76.0ms (1.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
0.1b
(/.f32 (*.f32 2 x) (-.f32 1 x))
Compiler

Compiled 36 to 27 computations (25% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f32 (*.f32 2 x) (-.f32 1 x))
0.0ms
x
@inf
(/.f32 (*.f32 2 x) (-.f32 1 x))
0.0ms
x
@-inf
(/.f32 (*.f32 2 x) (-.f32 1 x))
0.0ms
x
@0
(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
0.0ms
x
@inf
(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))

rewrite55.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
888×rational.json-simplify-5
700×rational.json-simplify-31
598×rational.json-simplify-13
584×rational.json-simplify-19
576×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
16442
221942
3114942
Stop Event
node limit
Counts
2 → 165
Calls
Call 1
Inputs
(/.f32 (*.f32 2 x) (-.f32 1 x))
(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (/.f32 0 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (-.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (/.f32 (-.f32 x x) (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (+.f32 (/.f32 0 (+.f32 x -1)) (-.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (-.f32 (-.f32 x x) (/.f32 0 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (-.f32 (/.f32 0 (+.f32 x -1)) (-.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (*.f32 (*.f32 x -4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (*.f32 (/.f32 1/2 (+.f32 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#<rule egg-rr> (2) ((x *.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (-.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (-.f32 0 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (-.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 1 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (/.f32 1 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))))

simplify146.0ms (2.4%)

Algorithm
egg-herbie
Rules
1428×rational.json-simplify-27
1078×rational.json-simplify-16
1018×rational.json-simplify-7
1002×rational.json-simplify-30
928×rational.json-simplify-23
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03634551
111554441
243794433
Stop Event
node limit
Counts
189 → 241
Calls
Call 1
Inputs
(*.f32 2 x)
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(*.f32 2 x)
(+.f32 (*.f32 2 x) (*.f32 2/3 (pow.f32 x 3)))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 2/7 (pow.f32 x 7)) (+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 0)
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (/.f32 0 (+.f32 x -1)))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (-.f32 x x))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (/.f32 (-.f32 x x) (+.f32 x -1)))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (+.f32 (/.f32 0 (+.f32 x -1)) (-.f32 x x)))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (-.f32 (-.f32 x x) (/.f32 0 (+.f32 x -1))))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (-.f32 (/.f32 0 (+.f32 x -1)) (-.f32 x x)))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (*.f32 (*.f32 x -4) 0))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (*.f32 (/.f32 1/2 (+.f32 x -1)) 0))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (*.f32 (neg.f32 (/.f32 -2 (+.f32 x -1))) 0))
(+.f32 0 (/.f32 (*.f32 x -2) (+.f32 x -1)))
(+.f32 (/.f32 x (-.f32 1 x)) (/.f32 x (-.f32 1 x)))
(+.f32 (*.f32 2 (/.f32 x (+.f32 x -1))) (*.f32 x (/.f32 -4 (+.f32 x -1))))
(+.f32 (/.f32 0 (+.f32 x -1)) (/.f32 (*.f32 x -2) (+.f32 x -1)))
(+.f32 (*.f32 x (/.f32 -4 (+.f32 x -1))) (*.f32 2 (/.f32 x (+.f32 x -1))))
(+.f32 (-.f32 x x) (/.f32 (*.f32 x -2) (+.f32 x -1)))
(+.f32 (/.f32 (-.f32 x x) (+.f32 x -1)) (/.f32 (*.f32 x -2) (+.f32 x -1)))
(+.f32 (/.f32 (*.f32 x 8) (-.f32 1 x)) (-.f32 (/.f32 0 (+.f32 x -1)) (/.f32 (*.f32 x 6) (-.f32 1 x))))
(+.f32 (/.f32 (*.f32 x 8) (-.f32 1 x)) (-.f32 0 (/.f32 (*.f32 x 6) (-.f32 1 x))))
(+.f32 (*.f32 (/.f32 0 (+.f32 x -1)) 2) (/.f32 (*.f32 x -2) (+.f32 x -1)))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 0)
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (/.f32 0 (+.f32 x -1)))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (-.f32 x x))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (/.f32 (-.f32 x x) (+.f32 x -1)))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (+.f32 (/.f32 0 (+.f32 x -1)) (-.f32 x x)))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (+.f32 (/.f32 (-.f32 x x) (+.f32 x -1)) (/.f32 0 (+.f32 x -1))))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (+.f32 (-.f32 x x) (/.f32 0 (+.f32 x -1))))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (+.f32 (/.f32 (-.f32 x x) (+.f32 x -1)) (/.f32 (-.f32 x x) (+.f32 x -1))))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (+.f32 (-.f32 x x) (/.f32 (-.f32 x x) (+.f32 x -1))))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (+.f32 (/.f32 (-.f32 x x) (+.f32 x -1)) (-.f32 x x)))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (+.f32 (-.f32 x x) (-.f32 x x)))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (*.f32 (*.f32 x -4) 0))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (*.f32 (/.f32 1/2 (+.f32 x -1)) 0))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (*.f32 (neg.f32 (/.f32 -2 (+.f32 x -1))) 0))
(-.f32 0 (*.f32 2 (/.f32 x (+.f32 x -1))))
(-.f32 (/.f32 x (-.f32 1 x)) (/.f32 (+.f32 x x) (+.f32 (+.f32 x x) -2)))
(-.f32 (/.f32 x (-.f32 1 x)) (*.f32 (/.f32 1/2 (+.f32 x -1)) (+.f32 x x)))
(-.f32 (*.f32 2 (/.f32 x (+.f32 x -1))) (-.f32 0 (*.f32 x (/.f32 -4 (+.f32 x -1)))))
(-.f32 (*.f32 2 (/.f32 x (+.f32 x -1))) (-.f32 (/.f32 0 (+.f32 x -1)) (*.f32 x (/.f32 -4 (+.f32 x -1)))))
(-.f32 (*.f32 2 (/.f32 x (+.f32 x -1))) (/.f32 (*.f32 x 4) (+.f32 x -1)))
(-.f32 (*.f32 2 (/.f32 x (+.f32 x -1))) (/.f32 (*.f32 x (/.f32 -4 (+.f32 x -1))) -1))
(-.f32 (*.f32 2 (/.f32 x (+.f32 x -1))) (*.f32 (neg.f32 (/.f32 -2 (+.f32 x -1))) (+.f32 x x)))
(-.f32 (*.f32 2 (/.f32 x (+.f32 x -1))) (/.f32 (+.f32 x x) (+.f32 -1/2 (*.f32 x 1/2))))
(-.f32 (*.f32 2 (/.f32 x (+.f32 x -1))) (*.f32 -1 (*.f32 x (/.f32 -4 (+.f32 x -1)))))
(-.f32 (/.f32 0 (+.f32 x -1)) (*.f32 2 (/.f32 x (+.f32 x -1))))
(-.f32 (*.f32 x (/.f32 -4 (+.f32 x -1))) (/.f32 (*.f32 x -2) (+.f32 x -1)))
(-.f32 (-.f32 x x) (*.f32 2 (/.f32 x (+.f32 x -1))))
(-.f32 (/.f32 (-.f32 x x) (+.f32 x -1)) (*.f32 2 (/.f32 x (+.f32 x -1))))
(-.f32 (/.f32 (*.f32 x 8) (-.f32 1 x)) (/.f32 (*.f32 x 6) (-.f32 1 x)))
(-.f32 (/.f32 (*.f32 x 6) (-.f32 1 x)) (*.f32 x (/.f32 -4 (+.f32 x -1))))
(-.f32 (-.f32 (/.f32 (*.f32 x 8) (-.f32 1 x)) (/.f32 (-.f32 x x) (+.f32 x -1))) (/.f32 (*.f32 x 6) (-.f32 1 x)))
(-.f32 (-.f32 (/.f32 (*.f32 x 8) (-.f32 1 x)) (-.f32 x x)) (/.f32 (*.f32 x 6) (-.f32 1 x)))
(-.f32 (-.f32 (/.f32 0 (+.f32 x -1)) (-.f32 x x)) (*.f32 2 (/.f32 x (+.f32 x -1))))
(-.f32 (+.f32 (/.f32 0 (+.f32 x -1)) (/.f32 (*.f32 x 8) (-.f32 1 x))) (/.f32 (*.f32 x 6) (-.f32 1 x)))
(-.f32 (/.f32 (*.f32 x 3) (-.f32 1 x)) (/.f32 x (-.f32 1 x)))
(-.f32 (/.f32 (*.f32 x 6) (+.f32 2 (*.f32 x -2))) (/.f32 x (-.f32 1 x)))
(-.f32 (*.f32 (*.f32 x 4) (/.f32 -2 (+.f32 x -1))) (/.f32 (*.f32 x 6) (-.f32 1 x)))
(-.f32 (*.f32 (/.f32 (*.f32 x 6) (-.f32 1 x)) 1/2) (/.f32 x (-.f32 1 x)))
(-.f32 (*.f32 (*.f32 x 6) (/.f32 1/2 (-.f32 1 x))) (/.f32 x (-.f32 1 x)))
(-.f32 (*.f32 (/.f32 0 (+.f32 x -1)) -1) (*.f32 2 (/.f32 x (+.f32 x -1))))
(-.f32 (*.f32 (*.f32 x 3) (/.f32 -1 (+.f32 x -1))) (/.f32 x (-.f32 1 x)))
(-.f32 (*.f32 (*.f32 x 8) (/.f32 -1 (+.f32 x -1))) (*.f32 (/.f32 -1 (+.f32 x -1)) (*.f32 x 6)))
(-.f32 (*.f32 0 (neg.f32 x)) (*.f32 2 (/.f32 x (+.f32 x -1))))
(-.f32 (*.f32 0 (*.f32 x -4)) (*.f32 2 (/.f32 x (+.f32 x -1))))
(-.f32 (+.f32 (/.f32 (*.f32 x 8) (-.f32 1 x)) (/.f32 (*.f32 x 8) (-.f32 1 x))) (+.f32 (/.f32 (*.f32 x 8) (-.f32 1 x)) (/.f32 (*.f32 x 6) (-.f32 1 x))))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(*.f32 (+.f32 x x) (/.f32 -1 (+.f32 x -1)))
(*.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1)))
(*.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 1)
(*.f32 (/.f32 -2 (+.f32 x -1)) x)
(*.f32 (*.f32 x -2) (/.f32 1 (+.f32 x -1)))
(*.f32 (*.f32 x -2) (*.f32 (/.f32 -2 (+.f32 x -1)) -1/2))
(*.f32 (*.f32 x -2) (*.f32 (/.f32 -1 (+.f32 x -1)) -1))
(*.f32 (*.f32 x -2) (-.f32 0 (/.f32 -1 (+.f32 x -1))))
(*.f32 (*.f32 x -2) (/.f32 1/2 (+.f32 -1/2 (*.f32 x 1/2))))
(*.f32 (*.f32 x 4) (/.f32 1/2 (-.f32 1 x)))
(*.f32 1/2 (*.f32 x (/.f32 -4 (+.f32 x -1))))
(*.f32 (/.f32 1/2 (-.f32 1 x)) (*.f32 x 4))
(*.f32 -1 (*.f32 2 (/.f32 x (+.f32 x -1))))
(*.f32 (/.f32 -1 (+.f32 x -1)) (+.f32 x x))
(*.f32 (/.f32 x (-.f32 1 x)) 2)
(*.f32 (neg.f32 x) (/.f32 2 (+.f32 x -1)))
(*.f32 (neg.f32 x) (neg.f32 (/.f32 -2 (+.f32 x -1))))
(*.f32 (neg.f32 x) (*.f32 1 (/.f32 2 (+.f32 x -1))))
(*.f32 (neg.f32 x) (*.f32 1 (neg.f32 (/.f32 -2 (+.f32 x -1)))))
(*.f32 (neg.f32 x) (*.f32 (/.f32 -1 (+.f32 x -1)) -2))
(*.f32 (*.f32 2 (/.f32 x (+.f32 x -1))) -1)
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(*.f32 -2 (*.f32 x (/.f32 1 (+.f32 x -1))))
(*.f32 -2 (*.f32 (/.f32 -1 (+.f32 x -1)) (neg.f32 x)))
(*.f32 -2 (-.f32 0 (/.f32 x (-.f32 1 x))))
(*.f32 -2 (/.f32 1/2 (*.f32 1/2 (/.f32 (+.f32 x -1) x))))
(*.f32 -1/2 (+.f32 (*.f32 2 (/.f32 x (+.f32 x -1))) (*.f32 2 (/.f32 x (+.f32 x -1)))))
(*.f32 -1/2 (/.f32 (*.f32 x -4) (-.f32 1 x)))
(*.f32 -1/2 (*.f32 (*.f32 x 4) (/.f32 1 (+.f32 x -1))))
(*.f32 -1/2 (*.f32 (/.f32 -1 (+.f32 x -1)) (*.f32 x -4)))
(*.f32 -1/2 (-.f32 0 (*.f32 x (/.f32 -4 (+.f32 x -1)))))
(*.f32 -1/2 (-.f32 (/.f32 0 (+.f32 x -1)) (*.f32 x (/.f32 -4 (+.f32 x -1)))))
(*.f32 -1/2 (-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (/.f32 (*.f32 x 6) (-.f32 1 x))))
(*.f32 -1/2 (/.f32 (*.f32 x -2) (+.f32 1/2 (/.f32 x -2))))
(*.f32 -1/2 (/.f32 (*.f32 x 4) (+.f32 x -1)))
(*.f32 4 (/.f32 x (+.f32 2 (*.f32 x -2))))
(*.f32 (*.f32 x (/.f32 -4 (+.f32 x -1))) 1/2)
(*.f32 (*.f32 x -4) (/.f32 1/2 (+.f32 x -1)))
(*.f32 (*.f32 x -4) (*.f32 (/.f32 -1 (+.f32 x -1)) -1/2))
(*.f32 (/.f32 x (+.f32 2 (*.f32 x -2))) 4)
(*.f32 (/.f32 1/2 (+.f32 2 (*.f32 x -2))) (*.f32 x 8))
(*.f32 (/.f32 1/2 (+.f32 2 (*.f32 x -2))) (/.f32 2 (/.f32 1/4 x)))
(*.f32 (/.f32 1 (+.f32 x -1)) (*.f32 x -2))
(*.f32 (/.f32 2 (+.f32 x -1)) (neg.f32 x))
(*.f32 (neg.f32 (/.f32 -2 (+.f32 x -1))) (neg.f32 x))
(*.f32 (/.f32 1/2 (+.f32 x -1)) (*.f32 x -4))
(*.f32 (/.f32 1/2 (+.f32 x -1)) (/.f32 -1 (/.f32 1/4 x)))
(*.f32 -4 (*.f32 x (/.f32 1/2 (+.f32 x -1))))
(*.f32 (*.f32 x 1/2) (/.f32 -4 (+.f32 x -1)))
(*.f32 (/.f32 -4 (+.f32 x -1)) (*.f32 x 1/2))
(*.f32 (*.f32 x 8) (/.f32 1/2 (+.f32 2 (*.f32 x -2))))
(*.f32 (*.f32 x 8) (*.f32 (/.f32 1/2 (-.f32 1 x)) 1/2))
(*.f32 (*.f32 x 8) (-.f32 (/.f32 1/2 (-.f32 1 x)) (/.f32 1/2 (+.f32 2 (*.f32 x -2)))))
(*.f32 (+.f32 (*.f32 2 (/.f32 x (+.f32 x -1))) (*.f32 2 (/.f32 x (+.f32 x -1)))) -1/2)
(*.f32 (neg.f32 (/.f32 -1 (+.f32 x -1))) (*.f32 x -2))
(*.f32 (+.f32 (*.f32 x -4) (*.f32 x -4)) (/.f32 1/2 (+.f32 (+.f32 x x) -2)))
(neg.f32 (*.f32 2 (/.f32 x (+.f32 x -1))))
(+.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 0)
(+.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 0))
(+.f32 0 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(+.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(+.f32 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(+.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 0) (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(+.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 2) (-.f32 0 (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3)))
(+.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1/2) (*.f32 1/2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(-.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 0)
(-.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 0))
(-.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (+.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 0) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 0)))
(-.f32 0 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(-.f32 0 (*.f32 -1 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(-.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (-.f32 0 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(-.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (/.f32 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) -1))
(-.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (*.f32 -1 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(-.f32 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(-.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 0) (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(-.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 2) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3))
(-.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3) (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(-.f32 (-.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 2) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 0)) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3))
(-.f32 (*.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3) 1/2) (*.f32 1/2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(-.f32 (+.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 2) (*.f32 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 2)) (+.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 2) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3)))
(*.f32 2 (/.f32 1/2 (/.f32 1 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(*.f32 1 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1)
(*.f32 1/2 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(*.f32 -1 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(*.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) -1)
(*.f32 -1/2 (-.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(*.f32 -1/2 (-.f32 0 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(*.f32 -1/2 (-.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3)))
(*.f32 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 1/2)
(*.f32 (-.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) -1/2)
(/.f32 1 (/.f32 1 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(/.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1)
(/.f32 1/2 (/.f32 1 (*.f32 2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(/.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(/.f32 -1 (/.f32 1 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(/.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) -1)
(neg.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
Outputs
(*.f32 2 x)
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2))))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 (+.f32 x (pow.f32 x 3))))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 4)))))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 (+.f32 (pow.f32 x 3) (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (/.f32 2 x)))
(+.f32 -2 (/.f32 -2 x))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 2)))))
(neg.f32 (+.f32 (/.f32 2 (pow.f32 x 2)) (+.f32 2 (/.f32 2 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 (pow.f32 x 3))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 x 2)) (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 3))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (/.f32 2 x)))
(+.f32 -2 (/.f32 -2 x))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 2)))))
(neg.f32 (+.f32 (/.f32 2 (pow.f32 x 2)) (+.f32 2 (/.f32 2 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 (pow.f32 x 3))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 x 2)) (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 3))))))
(*.f32 2 x)
(+.f32 (*.f32 2 x) (*.f32 2/3 (pow.f32 x 3)))
(+.f32 (*.f32 2 x) (*.f32 (pow.f32 x 3) 2/3))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 (*.f32 2 x) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 2/7 (pow.f32 x 7)) (+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5)))))
(+.f32 (+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 (*.f32 2 x) (*.f32 2/5 (pow.f32 x 5)))) (*.f32 2/7 (pow.f32 x 7)))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 (*.f32 2/7 (pow.f32 x 7)) (+.f32 (*.f32 2 x) (*.f32 2/5 (pow.f32 x 5)))))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 (*.f32 2/7 (pow.f32 x 7)) (*.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (/.f32 2 x) (log.f32 -1))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (/.f32 2 x)))
(+.f32 (/.f32 2 x) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (log.f32 -1)))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5)))))
(+.f32 (/.f32 2 x) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (+.f32 (log.f32 -1) (/.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (/.f32 2 x) (log.f32 -1))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (/.f32 2 x)))
(+.f32 (/.f32 2 x) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (log.f32 -1)))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5)))))
(+.f32 (/.f32 2 x) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (+.f32 (log.f32 -1) (/.f32 2/5 (pow.f32 x 5)))))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 0)
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (/.f32 0 (+.f32 x -1)))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (-.f32 x x))
(+.f32 x (-.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) x))
(+.f32 x (-.f32 (/.f32 x (/.f32 (+.f32 x -1) -2)) x))
(+.f32 x (-.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) x))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (/.f32 (-.f32 x x) (+.f32 x -1)))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (+.f32 (/.f32 0 (+.f32 x -1)) (-.f32 x x)))
(+.f32 x (-.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) x))
(+.f32 x (-.f32 (/.f32 x (/.f32 (+.f32 x -1) -2)) x))
(+.f32 x (-.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) x))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (-.f32 (-.f32 x x) (/.f32 0 (+.f32 x -1))))
(+.f32 x (-.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) x))
(+.f32 x (-.f32 (/.f32 x (/.f32 (+.f32 x -1) -2)) x))
(+.f32 x (-.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) x))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (-.f32 (/.f32 0 (+.f32 x -1)) (-.f32 x x)))
(-.f32 (/.f32 (+.f32 0 (*.f32 x -2)) (+.f32 x -1)) (-.f32 x x))
(-.f32 x (-.f32 x (/.f32 x (/.f32 (+.f32 x -1) -2))))
(-.f32 x (-.f32 x (*.f32 -2 (/.f32 x (+.f32 x -1)))))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (*.f32 (*.f32 x -4) 0))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (*.f32 (/.f32 1/2 (+.f32 x -1)) 0))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (*.f32 (neg.f32 (/.f32 -2 (+.f32 x -1))) 0))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) (*.f32 0 (neg.f32 (/.f32 -2 (+.f32 x -1)))))
(+.f32 (/.f32 x (/.f32 (+.f32 x -1) -2)) (*.f32 0 (/.f32 2 (+.f32 x -1))))
(+.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) (*.f32 0 (/.f32 2 (+.f32 x -1))))
(+.f32 0 (/.f32 (*.f32 x -2) (+.f32 x -1)))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (/.f32 x (-.f32 1 x)) (/.f32 x (-.f32 1 x)))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (*.f32 2 (/.f32 x (+.f32 x -1))) (*.f32 x (/.f32 -4 (+.f32 x -1))))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (/.f32 0 (+.f32 x -1)) (/.f32 (*.f32 x -2) (+.f32 x -1)))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (*.f32 x (/.f32 -4 (+.f32 x -1))) (*.f32 2 (/.f32 x (+.f32 x -1))))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (-.f32 x x) (/.f32 (*.f32 x -2) (+.f32 x -1)))
(+.f32 x (-.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) x))
(+.f32 x (-.f32 (/.f32 x (/.f32 (+.f32 x -1) -2)) x))
(+.f32 x (-.f32 (*.f32 -2 (/.f32 x (+.f32 x -1))) x))
(+.f32 (/.f32 (-.f32 x x) (+.f32 x -1)) (/.f32 (*.f32 x -2) (+.f32 x -1)))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (/.f32 (*.f32 x 8) (-.f32 1 x)) (-.f32 (/.f32 0 (+.f32 x -1)) (/.f32 (*.f32 x 6) (-.f32 1 x))))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (/.f32 (*.f32 x 8) (-.f32 1 x)) (-.f32 0 (/.f32 (*.f32 x 6) (-.f32 1 x))))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(+.f32 (*.f32 (/.f32 0 (+.f32 x -1)) 2) (/.f32 (*.f32 x -2) (+.f32 x -1)))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 0)
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (/.f32 0 (+.f32 x -1)))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (-.f32 x x))
(-.f32 (/.f32 (+.f32 0 (*.f32 x -2)) (+.f32 x -1)) (-.f32 x x))
(-.f32 x (-.f32 x (/.f32 x (/.f32 (+.f32 x -1) -2))))
(-.f32 x (-.f32 x (*.f32 -2 (/.f32 x (+.f32 x -1)))))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (/.f32 (-.f32 x x) (+.f32 x -1)))
(*.f32 x (/.f32 -2 (+.f32 x -1)))
(/.f32 x (/.f32 (+.f32 x -1) -2))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(-.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) (+.f32 (/.f32 0 (+.f32 x -1)) (-.f32 x x)))
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eval289.0ms (4.7%)

Compiler

Compiled 12362 to 9897 computations (19.9% saved)

prune148.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New6747681
Fresh000
Picked011
Done101
Total6758683
Error
0b
Counts
683 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(*.f32 1/2 (+.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 2 x)))
0.6b
(*.f32 1/2 (*.f32 -1/2 (-.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3))))
0.3b
(*.f32 1/2 (log1p.f32 (/.f32 (/.f32 4 (-.f32 1 x)) (/.f32 2 x))))
0.1b
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
0.3b
(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))))
1.3b
(*.f32 1/2 (log1p.f32 (*.f32 x (+.f32 (*.f32 2 x) 2))))
2.1b
(*.f32 1/2 (log1p.f32 (*.f32 x 2)))
32.0b
(*.f32 1/2 (log1p.f32 -2))
Compiler

Compiled 177 to 149 computations (15.8% saved)

localize37.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)))
0.0b
(/.f32 (-.f32 1 x) x)
0.3b
(/.f32 2 (/.f32 (-.f32 1 x) x))
Compiler

Compiled 38 to 28 computations (26.3% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/.f32 (-.f32 1 x) x)
0.0ms
x
@inf
(/.f32 (-.f32 1 x) x)
0.0ms
x
@0
(/.f32 (-.f32 1 x) x)
0.0ms
x
@0
(/.f32 2 (/.f32 (-.f32 1 x) x))
0.0ms
x
@inf
(/.f32 2 (/.f32 (-.f32 1 x) x))

rewrite94.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1114×rational.json-simplify-25
1098×rational.json-simplify-14
1056×rational.json-simplify-21
1008×rational.json-simplify-3
762×rational.json-simplify-11
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01055
17255
232755
3206255
Stop Event
node limit
Counts
3 → 467
Calls
Call 1
Inputs
(/.f32 2 (/.f32 (-.f32 1 x) x))
(/.f32 (-.f32 1 x) x)
(log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)))
Outputs
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simplify175.0ms (2.9%)

Algorithm
egg-herbie
Rules
1780×rational.json-simplify-14
1300×rational.json-simplify-3
956×rational.json-simplify-9
700×rational.json-simplify-5
530×rational.json-simplify-39
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101116699
1375316421
Stop Event
node limit
Counts
503 → 756
Calls
Call 1
Inputs
(*.f32 2 x)
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(/.f32 1 x)
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
-1
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
-1
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
(*.f32 2 x)
(+.f32 (*.f32 2 x) (*.f32 2/3 (pow.f32 x 3)))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 2/7 (pow.f32 x 7)) (+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
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(*.f32 -1/2 (-.f32 (/.f32 -1 x) (+.f32 (/.f32 (-.f32 1 x) x) (/.f32 x (neg.f32 x)))))
(*.f32 -1/2 (-.f32 (/.f32 (+.f32 1 x) x) (+.f32 (/.f32 (-.f32 1 x) x) (/.f32 2 x))))
(*.f32 -1/2 (-.f32 (*.f32 (-.f32 1 x) (/.f32 2 x)) (/.f32 (*.f32 (-.f32 1 x) (/.f32 2 x)) 1/2)))
(*.f32 -1/2 (-.f32 (/.f32 (/.f32 -1 x) 1/2) (/.f32 (/.f32 x (neg.f32 x)) 1/2)))
(*.f32 -1/2 (-.f32 (/.f32 (/.f32 (+.f32 1 x) x) 1/2) (/.f32 (/.f32 2 x) 1/2)))
(*.f32 (/.f32 -1 x) (+.f32 x -1))
(*.f32 (*.f32 (-.f32 1 x) (/.f32 2 x)) 1/2)
(*.f32 (/.f32 2 x) (+.f32 (/.f32 x -2) 1/2))
(*.f32 (/.f32 -1/2 x) (+.f32 x (-.f32 x 2)))
(*.f32 (/.f32 -1/2 x) (*.f32 2 (/.f32 (+.f32 x (-.f32 x 2)) 2)))
(*.f32 (/.f32 -1/2 x) (*.f32 1/2 (/.f32 (+.f32 x (-.f32 x 2)) 1/2)))
(*.f32 (+.f32 x (-.f32 x 2)) (/.f32 -1/2 x))
(*.f32 (+.f32 x (-.f32 x 2)) (*.f32 (/.f32 1 x) -1/2))
(*.f32 (neg.f32 (+.f32 x (-.f32 x 2))) (-.f32 0 (/.f32 -1/2 x)))
(*.f32 (neg.f32 (-.f32 2 (+.f32 x x))) (-.f32 0 (/.f32 1/2 x)))
(*.f32 (neg.f32 (-.f32 2 (+.f32 x x))) (*.f32 1 (-.f32 0 (/.f32 1/2 x))))
(*.f32 (neg.f32 (-.f32 2 (+.f32 x x))) (-.f32 (/.f32 1/2 x) (/.f32 1 x)))
(*.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 (+.f32 1 x) (-.f32 3 x)))
(*.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 0 (-.f32 2 (+.f32 x x))))
(*.f32 (neg.f32 (/.f32 1/2 x)) (+.f32 x (-.f32 x 2)))
(*.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 (-.f32 1 x) (-.f32 (-.f32 3 x) (+.f32 x x))))
(*.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 (-.f32 (+.f32 x x) (-.f32 2 x)) x))
(*.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 (/.f32 (+.f32 1 x) 1/2) 4))
(*.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 (-.f32 2 (+.f32 x x)) (/.f32 (-.f32 2 (+.f32 x x)) 1/2)))
(*.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 (+.f32 x 3) (+.f32 (-.f32 1 x) 4)))
(*.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 (/.f32 (+.f32 x 3) 1/2) 8))
(*.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 (-.f32 2 (+.f32 x x)) (+.f32 (-.f32 2 (+.f32 x x)) (-.f32 2 (+.f32 x x)))))
(*.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 (+.f32 (+.f32 1 x) (-.f32 3 x)) (+.f32 (-.f32 3 x) (-.f32 3 x))))
(*.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 (+.f32 x (-.f32 2 x)) (+.f32 (-.f32 2 x) (-.f32 2 x))))
(*.f32 (+.f32 (-.f32 2 (+.f32 x x)) (-.f32 2 (+.f32 x x))) (*.f32 (/.f32 1 x) 1/4))
(*.f32 (+.f32 (-.f32 2 (+.f32 x x)) (-.f32 2 (+.f32 x x))) (/.f32 1/2 (+.f32 x x)))
(*.f32 (+.f32 (-.f32 2 (+.f32 x x)) (-.f32 2 (+.f32 x x))) (*.f32 1 (/.f32 1/2 (+.f32 x x))))
(*.f32 (+.f32 (/.f32 (+.f32 x -1) x) (/.f32 (+.f32 x -1) x)) -1/2)
(*.f32 (neg.f32 (/.f32 1 x)) (+.f32 x -1))
(*.f32 (neg.f32 (/.f32 1 x)) (-.f32 (-.f32 1 (-.f32 2 (+.f32 x x))) x))
(*.f32 (neg.f32 (/.f32 1 x)) (-.f32 (-.f32 2 (-.f32 2 (+.f32 x x))) (+.f32 1 x)))
(*.f32 (neg.f32 (/.f32 1 x)) (-.f32 (-.f32 0 (-.f32 2 (+.f32 x x))) (+.f32 x -1)))
(*.f32 (neg.f32 (/.f32 1 x)) (-.f32 (-.f32 4 (-.f32 2 (+.f32 x x))) (+.f32 x 3)))
(*.f32 (neg.f32 (/.f32 1 x)) (-.f32 (+.f32 1 x) (-.f32 (-.f32 3 x) (-.f32 1 x))))
(*.f32 (neg.f32 (/.f32 1 x)) (-.f32 x (-.f32 (-.f32 2 x) (-.f32 1 x))))
(*.f32 (neg.f32 (/.f32 1 x)) (-.f32 (/.f32 (+.f32 1 x) -1) (/.f32 (+.f32 x x) -1)))
(*.f32 (neg.f32 (/.f32 1 x)) (-.f32 (+.f32 x 7) 8))
(*.f32 (neg.f32 (/.f32 1 x)) (-.f32 -2 (/.f32 (+.f32 1 x) -1)))
(*.f32 (neg.f32 (/.f32 1 x)) (-.f32 (+.f32 1/2 (*.f32 x 1/2)) (*.f32 (-.f32 3 x) 1/2)))
(*.f32 (neg.f32 (/.f32 1 x)) (-.f32 (*.f32 x 1/2) (*.f32 (-.f32 2 x) 1/2)))
(*.f32 (neg.f32 (/.f32 1 x)) (-.f32 (-.f32 (-.f32 3 x) (+.f32 x x)) (+.f32 (-.f32 2 (+.f32 x x)) (-.f32 2 (+.f32 x x)))))
(*.f32 (neg.f32 (/.f32 -1/2 x)) (-.f32 2 (+.f32 x x)))
(*.f32 (neg.f32 (/.f32 -1/2 x)) (-.f32 (+.f32 1 x) (+.f32 (+.f32 x -1) (+.f32 x x))))
(*.f32 (neg.f32 (/.f32 -1/2 x)) (-.f32 (/.f32 (+.f32 1 x) 1/2) (/.f32 (+.f32 x x) 1/2)))
(*.f32 (neg.f32 (neg.f32 (-.f32 2 (+.f32 x x)))) (/.f32 1/2 x))
(*.f32 (neg.f32 (neg.f32 (/.f32 1/2 x))) (-.f32 2 (+.f32 x x)))
(neg.f32 (/.f32 (+.f32 x -1) x))
(+.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 0)
(+.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (-.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)))
(+.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (/.f32 0 (/.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))
(+.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (+.f32 0 (/.f32 0 (/.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))))
(+.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (-.f32 0 (-.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))))
(+.f32 0 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))
(+.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(+.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (+.f32 0 (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))
(+.f32 (+.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)) (-.f32 0 (+.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))))
(-.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 0)
(-.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (-.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)))
(-.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (+.f32 0 (-.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))))
(-.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (+.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)) (-.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))))
(-.f32 0 (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(-.f32 0 (/.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) -1))
(-.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(-.f32 (+.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))
(-.f32 (+.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)) (+.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)))
(*.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)
(*.f32 1/2 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))
(*.f32 -1 (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(*.f32 -1 (/.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) -1))
(*.f32 -1 (*.f32 1 (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))
(*.f32 -1 (-.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)) (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(*.f32 -1 (-.f32 (+.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)) (+.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))))
(*.f32 (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) -1)
(*.f32 -1/2 (-.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (+.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))))
(*.f32 -1/2 (-.f32 0 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)))
(*.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) 1/2)
(*.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) -1/2)
(/.f32 1 (/.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(/.f32 1 (/.f32 -1 (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))
(/.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)
(/.f32 (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) -1)
(/.f32 (-.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))) -1)
(neg.f32 (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
Outputs
(*.f32 2 x)
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2))))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (/.f32 2 x)))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 x 2)) (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 3))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (/.f32 2 x)))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 x 2)) (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 3))))))
(/.f32 1 x)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
-1
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
-1
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(*.f32 2 x)
(+.f32 (*.f32 2 x) (*.f32 2/3 (pow.f32 x 3)))
(+.f32 (*.f32 2 x) (*.f32 (pow.f32 x 3) 2/3))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 (*.f32 2 x) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 2/7 (pow.f32 x 7)) (+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5)))))
(+.f32 (+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 (*.f32 2 x) (*.f32 2/5 (pow.f32 x 5)))) (*.f32 2/7 (pow.f32 x 7)))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (log.f32 -1) (/.f32 2 x))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (/.f32 2 x)))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (+.f32 (/.f32 2/5 (pow.f32 x 5)) (/.f32 2 x))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (log.f32 -1) (/.f32 2 x))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (/.f32 2 x)))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (+.f32 (/.f32 2/5 (pow.f32 x 5)) (/.f32 2 x))))
(+.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(+.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) (/.f32 0 (-.f32 1 x)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (/.f32 0 (-.f32 1 x)))
(+.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) (/.f32 0 (/.f32 (-.f32 1 x) x)))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 0 (/.f32 x (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) (-.f32 0 (/.f32 0 (-.f32 1 x))))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (/.f32 0 (-.f32 1 x)))
(+.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) (+.f32 0 (/.f32 0 (/.f32 (-.f32 1 x) x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (*.f32 0 (/.f32 x (-.f32 1 x)))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 0 (*.f32 x (/.f32 0 (-.f32 1 x)))))
(+.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) (+.f32 0 (-.f32 0 (/.f32 0 (-.f32 1 x)))))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (/.f32 0 (-.f32 1 x)))
(+.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (/.f32 0 (-.f32 1 x)))
(+.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (-.f32 0 (/.f32 0 (-.f32 1 x)))))
(+.f32 (/.f32 0 (-.f32 1 x)) (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) (-.f32 0 (/.f32 0 (/.f32 (-.f32 1 x) x))))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 0 (/.f32 x (-.f32 1 x))))
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (*.f32 x (/.f32 0 (-.f32 1 x))))
(+.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) (-.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (/.f32 (-.f32 1 x) x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 0 (/.f32 x (-.f32 1 x)))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (-.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x (/.f32 0 (-.f32 1 x)))))
(+.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) (-.f32 (/.f32 x (-.f32 1 x)) (/.f32 x (-.f32 1 x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (/.f32 (-.f32 x x) (-.f32 1 x)))
(+.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (/.f32 0 (/.f32 (-.f32 1 x) x))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (*.f32 0 (/.f32 x (-.f32 1 x)))))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) (+.f32 (/.f32 0 (-.f32 1 x)) (*.f32 x (/.f32 0 (-.f32 1 x)))))
(+.f32 0 (*.f32 x (/.f32 2 (-.f32 1 x))))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(+.f32 (/.f32 x (-.f32 1 x)) (/.f32 x (-.f32 1 x)))
(/.f32 (+.f32 x x) (-.f32 1 x))
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(/.f32 (-.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))) -1)
(neg.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (neg.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))
(neg.f32 (-.f32 (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(neg.f32 (neg.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))

localize11.0ms (0.2%)

Compiler

Compiled 9 to 9 computations (0% saved)

localize20.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (*.f32 x 2))
Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(log1p.f32 (*.f32 x 2))
0.0ms
x
@0
(log1p.f32 (*.f32 x 2))
0.0ms
x
@-inf
(log1p.f32 (*.f32 x 2))

rewrite71.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1812×rational.json-1
692×rational.json-simplify-1
686×rational.json-simplify-30
654×rational.json-simplify-19
616×rational.json-simplify-23
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
13811
29811
338511
4201811
5797211
Stop Event
node limit
Counts
1 → 58
Calls
Call 1
Inputs
(log1p.f32 (*.f32 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (+.f32 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (+.f32 x x)) (*.f32 (log1p.f32 (+.f32 x x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log1p.f32 (+.f32 x x))) (*.f32 2 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) (neg.f32 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log1p.f32 (+.f32 x x)) 0) (log1p.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log1p.f32 (+.f32 x x)) -2) (*.f32 (log1p.f32 (+.f32 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x)))) (*.f32 (log1p.f32 (+.f32 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3)) (*.f32 1/2 (neg.f32 (log1p.f32 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log1p.f32 (+.f32 x x)) 1/2) (*.f32 (log1p.f32 (+.f32 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log1p.f32 (+.f32 x x)) -1/2) (*.f32 -1/2 (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (neg.f32 (log1p.f32 (+.f32 x x))) -1/2) (*.f32 -1/2 (neg.f32 (log1p.f32 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (+.f32 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (+.f32 x x)) (*.f32 (log1p.f32 (+.f32 x x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (log1p.f32 (+.f32 x x))) (*.f32 (log1p.f32 (+.f32 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) (log1p.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) (+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 3) (*.f32 (log1p.f32 (+.f32 x x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (log1p.f32 (+.f32 x x)) 0) (neg.f32 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (log1p.f32 (+.f32 x x)) -2) (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (log1p.f32 (+.f32 x x)) 3) (*.f32 2 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0)) (*.f32 (log1p.f32 (+.f32 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x)))) (neg.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3)) (*.f32 (log1p.f32 (+.f32 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 3) 2) (*.f32 (log1p.f32 (+.f32 x x)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2) (+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) (*.f32 (log1p.f32 (+.f32 x x)) 1/2)) (*.f32 (log1p.f32 (+.f32 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0)) (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0))) (+.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0)) (*.f32 (log1p.f32 (+.f32 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3)) (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3))) (*.f32 2 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2) (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2)) (+.f32 (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2) (+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (log1p.f32 (+.f32 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (-.f32 (log1p.f32 (+.f32 x x)) (*.f32 (log1p.f32 (+.f32 x x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (log1p.f32 (+.f32 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (/.f32 1/2 (/.f32 -1 (log1p.f32 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (+.f32 x x)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (*.f32 (log1p.f32 (+.f32 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (+.f32 x x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (/.f32 1 (log1p.f32 (+.f32 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (/.f32 -1 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (-.f32 0 (/.f32 1 (log1p.f32 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (log1p.f32 (+.f32 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 1/2 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 (+.f32 x x)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1/2 (/.f32 -1/2 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 3) (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 1/2) (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 3)) (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (log1p.f32 (+.f32 x x))))))))

simplify48.0ms (0.8%)

Algorithm
egg-herbie
Rules
1596×rational.json-simplify-5
1378×rational.json-simplify-13
1256×rational.json-simplify-14
1022×rational.json-simplify-21
932×rational.json-simplify-31
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01591170
14331154
222251154
Stop Event
node limit
Counts
70 → 94
Calls
Call 1
Inputs
(*.f32 2 x)
(+.f32 (*.f32 -2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 -2 (pow.f32 x 2)) (+.f32 (*.f32 8/3 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (*.f32 -2 (pow.f32 x 2)) (+.f32 (*.f32 8/3 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (*.f32 -4 (pow.f32 x 4)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/24 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (log.f32 -2)))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/24 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log1p.f32 (+.f32 x x)) 0)
(+.f32 (log1p.f32 (+.f32 x x)) (*.f32 (log1p.f32 (+.f32 x x)) 0))
(+.f32 0 (log1p.f32 (+.f32 x x)))
(+.f32 (neg.f32 (log1p.f32 (+.f32 x x))) (*.f32 2 (log1p.f32 (+.f32 x x))))
(+.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) (neg.f32 (log1p.f32 (+.f32 x x))))
(+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 0) (log1p.f32 (+.f32 x x)))
(+.f32 (*.f32 (log1p.f32 (+.f32 x x)) -2) (*.f32 (log1p.f32 (+.f32 x x)) 3))
(+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x)))))
(+.f32 (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x)))) (*.f32 (log1p.f32 (+.f32 x x)) 4))
(+.f32 (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3)) (*.f32 1/2 (neg.f32 (log1p.f32 (+.f32 x x)))))
(+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 1/2) (*.f32 (log1p.f32 (+.f32 x x)) 1/2))
(+.f32 (*.f32 (log1p.f32 (+.f32 x x)) -1/2) (*.f32 -1/2 (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x))))))
(+.f32 (*.f32 (neg.f32 (log1p.f32 (+.f32 x x))) -1/2) (*.f32 -1/2 (neg.f32 (log1p.f32 (+.f32 x x)))))
(-.f32 (log1p.f32 (+.f32 x x)) 0)
(-.f32 (log1p.f32 (+.f32 x x)) (*.f32 (log1p.f32 (+.f32 x x)) 0))
(-.f32 0 (neg.f32 (log1p.f32 (+.f32 x x))))
(-.f32 (neg.f32 (log1p.f32 (+.f32 x x))) (*.f32 (log1p.f32 (+.f32 x x)) -2))
(-.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) (log1p.f32 (+.f32 x x)))
(-.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) (+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 3) (*.f32 (log1p.f32 (+.f32 x x)) -2)))
(-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 0) (neg.f32 (log1p.f32 (+.f32 x x))))
(-.f32 (*.f32 (log1p.f32 (+.f32 x x)) -2) (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x)))))
(-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 3))
(-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 3) (*.f32 2 (log1p.f32 (+.f32 x x))))
(-.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0)) (*.f32 (log1p.f32 (+.f32 x x)) 3))
(-.f32 (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x)))) (neg.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4)))
(-.f32 (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3)) (*.f32 (log1p.f32 (+.f32 x x)) 1/2))
(-.f32 (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 3) 2) (*.f32 (log1p.f32 (+.f32 x x)) 5))
(-.f32 (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2) (+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 3)))
(-.f32 (-.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) (*.f32 (log1p.f32 (+.f32 x x)) 1/2)) (*.f32 (log1p.f32 (+.f32 x x)) 1/2))
(-.f32 (+.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0)) (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0))) (+.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0)) (*.f32 (log1p.f32 (+.f32 x x)) 3)))
(-.f32 (+.f32 (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3)) (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3))) (*.f32 2 (log1p.f32 (+.f32 x x))))
(-.f32 (+.f32 (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2) (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2)) (+.f32 (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2) (+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 3))))
(*.f32 2 (*.f32 (log1p.f32 (+.f32 x x)) 1/2))
(*.f32 2 (-.f32 (log1p.f32 (+.f32 x x)) (*.f32 (log1p.f32 (+.f32 x x)) 1/2)))
(*.f32 (log1p.f32 (+.f32 x x)) 1)
(*.f32 1 (log1p.f32 (+.f32 x x)))
(*.f32 -1 (neg.f32 (log1p.f32 (+.f32 x x))))
(*.f32 (neg.f32 (log1p.f32 (+.f32 x x))) -1)
(*.f32 -2 (/.f32 1/2 (/.f32 -1 (log1p.f32 (+.f32 x x)))))
(*.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) 1/2)
(*.f32 1/2 (*.f32 2 (log1p.f32 (+.f32 x x))))
(*.f32 (*.f32 (log1p.f32 (+.f32 x x)) -2) -1/2)
(*.f32 -1/2 (*.f32 (log1p.f32 (+.f32 x x)) -2))
(*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 1/2) 2)
(/.f32 2 (/.f32 (/.f32 1 (log1p.f32 (+.f32 x x))) 1/2))
(/.f32 (log1p.f32 (+.f32 x x)) 1)
(/.f32 1 (/.f32 1 (log1p.f32 (+.f32 x x))))
(/.f32 -1 (/.f32 -1 (log1p.f32 (+.f32 x x))))
(/.f32 -1 (-.f32 0 (/.f32 1 (log1p.f32 (+.f32 x x)))))
(/.f32 (neg.f32 (log1p.f32 (+.f32 x x))) -1)
(/.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) 2)
(/.f32 1/2 (/.f32 1/2 (log1p.f32 (+.f32 x x))))
(/.f32 (*.f32 (log1p.f32 (+.f32 x x)) -2) -2)
(/.f32 -1/2 (/.f32 -1/2 (log1p.f32 (+.f32 x x))))
(/.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 3) (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0))) -1)
(/.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 1/2) (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3))) -1)
(/.f32 (-.f32 (+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 3)) (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2)) -1)
(neg.f32 (neg.f32 (log1p.f32 (+.f32 x x))))
Outputs
(*.f32 2 x)
(+.f32 (*.f32 -2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 x) (*.f32 -2 (pow.f32 x 2)))
(+.f32 (*.f32 -2 (pow.f32 x 2)) (+.f32 (*.f32 8/3 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (*.f32 -2 (pow.f32 x 2)) (+.f32 (*.f32 2 x) (*.f32 8/3 (pow.f32 x 3))))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 8/3 (pow.f32 x 3)) (*.f32 -2 (pow.f32 x 2))))
(+.f32 (*.f32 -2 (pow.f32 x 2)) (+.f32 (*.f32 8/3 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (*.f32 -4 (pow.f32 x 4)))))
(+.f32 (*.f32 -2 (pow.f32 x 2)) (+.f32 (*.f32 2 x) (+.f32 (*.f32 8/3 (pow.f32 x 3)) (*.f32 -4 (pow.f32 x 4)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (/.f32 1/2 x)))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (/.f32 1/2 x)))
(+.f32 (log.f32 2) (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 1/2 x)))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (/.f32 1/2 x))) (/.f32 1/8 (pow.f32 x 2)))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (+.f32 (log.f32 2) (/.f32 1/2 x)) (/.f32 1/8 (pow.f32 x 2))))
(+.f32 (log.f32 2) (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 2)))))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/24 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(+.f32 (/.f32 1/2 x) (-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 1/24 (pow.f32 x 3)) (log.f32 2))) (/.f32 1/8 (pow.f32 x 2))))
(+.f32 (/.f32 1/2 x) (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (+.f32 (log.f32 2) (/.f32 1/24 (pow.f32 x 3))) (/.f32 1/8 (pow.f32 x 2)))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (+.f32 (/.f32 1/24 (pow.f32 x 3)) (+.f32 (log.f32 2) (/.f32 1/2 x))) (/.f32 1/8 (pow.f32 x 2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (log.f32 -2)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 1/2 x) (log.f32 -2)))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 1/2 x) (log.f32 -2)))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 1/2 x) (log.f32 -2))) (/.f32 1/8 (pow.f32 x 2)))
(+.f32 (/.f32 1/2 x) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (/.f32 1/8 (pow.f32 x 2)))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -2) (-.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 2)))))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/24 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (/.f32 1/2 x) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 1/24 (pow.f32 x 3)) (log.f32 -2)))) (/.f32 1/8 (pow.f32 x 2)))
(+.f32 (+.f32 (/.f32 1/24 (pow.f32 x 3)) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))) (-.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 2))))
(+.f32 (/.f32 1/2 x) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (+.f32 (/.f32 1/24 (pow.f32 x 3)) (log.f32 -2)) (/.f32 1/8 (pow.f32 x 2)))))
(+.f32 (log1p.f32 (+.f32 x x)) 0)
(log1p.f32 (+.f32 x x))
(+.f32 (log1p.f32 (+.f32 x x)) (*.f32 (log1p.f32 (+.f32 x x)) 0))
(log1p.f32 (+.f32 x x))
(+.f32 0 (log1p.f32 (+.f32 x x)))
(log1p.f32 (+.f32 x x))
(+.f32 (neg.f32 (log1p.f32 (+.f32 x x))) (*.f32 2 (log1p.f32 (+.f32 x x))))
(log1p.f32 (+.f32 x x))
(+.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) (neg.f32 (log1p.f32 (+.f32 x x))))
(log1p.f32 (+.f32 x x))
(+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 0) (log1p.f32 (+.f32 x x)))
(log1p.f32 (+.f32 x x))
(+.f32 (*.f32 (log1p.f32 (+.f32 x x)) -2) (*.f32 (log1p.f32 (+.f32 x x)) 3))
(log1p.f32 (+.f32 x x))
(+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x)))))
(log1p.f32 (+.f32 x x))
(+.f32 (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x)))) (*.f32 (log1p.f32 (+.f32 x x)) 4))
(log1p.f32 (+.f32 x x))
(+.f32 (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3)) (*.f32 1/2 (neg.f32 (log1p.f32 (+.f32 x x)))))
(log1p.f32 (+.f32 x x))
(+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 1/2) (*.f32 (log1p.f32 (+.f32 x x)) 1/2))
(log1p.f32 (+.f32 x x))
(+.f32 (*.f32 (log1p.f32 (+.f32 x x)) -1/2) (*.f32 -1/2 (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x))))))
(log1p.f32 (+.f32 x x))
(+.f32 (*.f32 (neg.f32 (log1p.f32 (+.f32 x x))) -1/2) (*.f32 -1/2 (neg.f32 (log1p.f32 (+.f32 x x)))))
(log1p.f32 (+.f32 x x))
(-.f32 (log1p.f32 (+.f32 x x)) 0)
(log1p.f32 (+.f32 x x))
(-.f32 (log1p.f32 (+.f32 x x)) (*.f32 (log1p.f32 (+.f32 x x)) 0))
(log1p.f32 (+.f32 x x))
(-.f32 0 (neg.f32 (log1p.f32 (+.f32 x x))))
(log1p.f32 (+.f32 x x))
(-.f32 (neg.f32 (log1p.f32 (+.f32 x x))) (*.f32 (log1p.f32 (+.f32 x x)) -2))
(log1p.f32 (+.f32 x x))
(-.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) (log1p.f32 (+.f32 x x)))
(log1p.f32 (+.f32 x x))
(-.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) (+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 3) (*.f32 (log1p.f32 (+.f32 x x)) -2)))
(log1p.f32 (+.f32 x x))
(-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 0) (neg.f32 (log1p.f32 (+.f32 x x))))
(log1p.f32 (+.f32 x x))
(-.f32 (*.f32 (log1p.f32 (+.f32 x x)) -2) (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x)))))
(log1p.f32 (+.f32 x x))
(-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 3))
(log1p.f32 (+.f32 x x))
(-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 3) (*.f32 2 (log1p.f32 (+.f32 x x))))
(log1p.f32 (+.f32 x x))
(-.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0)) (*.f32 (log1p.f32 (+.f32 x x)) 3))
(log1p.f32 (+.f32 x x))
(-.f32 (*.f32 3 (neg.f32 (log1p.f32 (+.f32 x x)))) (neg.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4)))
(log1p.f32 (+.f32 x x))
(-.f32 (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3)) (*.f32 (log1p.f32 (+.f32 x x)) 1/2))
(log1p.f32 (+.f32 x x))
(-.f32 (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 3) 2) (*.f32 (log1p.f32 (+.f32 x x)) 5))
(log1p.f32 (+.f32 x x))
(-.f32 (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2) (+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 3)))
(log1p.f32 (+.f32 x x))
(-.f32 (-.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) (*.f32 (log1p.f32 (+.f32 x x)) 1/2)) (*.f32 (log1p.f32 (+.f32 x x)) 1/2))
(log1p.f32 (+.f32 x x))
(-.f32 (+.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0)) (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0))) (+.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0)) (*.f32 (log1p.f32 (+.f32 x x)) 3)))
(log1p.f32 (+.f32 x x))
(-.f32 (+.f32 (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3)) (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3))) (*.f32 2 (log1p.f32 (+.f32 x x))))
(log1p.f32 (+.f32 x x))
(-.f32 (+.f32 (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2) (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2)) (+.f32 (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2) (+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 3))))
(log1p.f32 (+.f32 x x))
(*.f32 2 (*.f32 (log1p.f32 (+.f32 x x)) 1/2))
(log1p.f32 (+.f32 x x))
(*.f32 2 (-.f32 (log1p.f32 (+.f32 x x)) (*.f32 (log1p.f32 (+.f32 x x)) 1/2)))
(log1p.f32 (+.f32 x x))
(*.f32 (log1p.f32 (+.f32 x x)) 1)
(log1p.f32 (+.f32 x x))
(*.f32 1 (log1p.f32 (+.f32 x x)))
(log1p.f32 (+.f32 x x))
(*.f32 -1 (neg.f32 (log1p.f32 (+.f32 x x))))
(log1p.f32 (+.f32 x x))
(*.f32 (neg.f32 (log1p.f32 (+.f32 x x))) -1)
(log1p.f32 (+.f32 x x))
(*.f32 -2 (/.f32 1/2 (/.f32 -1 (log1p.f32 (+.f32 x x)))))
(log1p.f32 (+.f32 x x))
(*.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) 1/2)
(log1p.f32 (+.f32 x x))
(*.f32 1/2 (*.f32 2 (log1p.f32 (+.f32 x x))))
(log1p.f32 (+.f32 x x))
(*.f32 (*.f32 (log1p.f32 (+.f32 x x)) -2) -1/2)
(log1p.f32 (+.f32 x x))
(*.f32 -1/2 (*.f32 (log1p.f32 (+.f32 x x)) -2))
(log1p.f32 (+.f32 x x))
(*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 1/2) 2)
(log1p.f32 (+.f32 x x))
(/.f32 2 (/.f32 (/.f32 1 (log1p.f32 (+.f32 x x))) 1/2))
(log1p.f32 (+.f32 x x))
(/.f32 (log1p.f32 (+.f32 x x)) 1)
(log1p.f32 (+.f32 x x))
(/.f32 1 (/.f32 1 (log1p.f32 (+.f32 x x))))
(log1p.f32 (+.f32 x x))
(/.f32 -1 (/.f32 -1 (log1p.f32 (+.f32 x x))))
(log1p.f32 (+.f32 x x))
(/.f32 -1 (-.f32 0 (/.f32 1 (log1p.f32 (+.f32 x x)))))
(log1p.f32 (+.f32 x x))
(/.f32 (neg.f32 (log1p.f32 (+.f32 x x))) -1)
(log1p.f32 (+.f32 x x))
(/.f32 (*.f32 2 (log1p.f32 (+.f32 x x))) 2)
(log1p.f32 (+.f32 x x))
(/.f32 1/2 (/.f32 1/2 (log1p.f32 (+.f32 x x))))
(log1p.f32 (+.f32 x x))
(/.f32 (*.f32 (log1p.f32 (+.f32 x x)) -2) -2)
(log1p.f32 (+.f32 x x))
(/.f32 -1/2 (/.f32 -1/2 (log1p.f32 (+.f32 x x))))
(log1p.f32 (+.f32 x x))
(/.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 3) (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 0))) -1)
(log1p.f32 (+.f32 x x))
(/.f32 (-.f32 (*.f32 (log1p.f32 (+.f32 x x)) 1/2) (*.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 3))) -1)
(log1p.f32 (+.f32 x x))
(/.f32 (-.f32 (+.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) (*.f32 (log1p.f32 (+.f32 x x)) 3)) (*.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 2)) -1)
(log1p.f32 (+.f32 x x))
(neg.f32 (neg.f32 (log1p.f32 (+.f32 x x))))
(log1p.f32 (+.f32 x x))

localize35.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (*.f32 x (+.f32 (*.f32 2 x) 2)))
0.1b
(*.f32 x (+.f32 (*.f32 2 x) 2))
Compiler

Compiled 37 to 28 computations (24.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log1p.f32 (*.f32 x (+.f32 (*.f32 2 x) 2)))
0.0ms
x
@inf
(*.f32 x (+.f32 (*.f32 2 x) 2))
0.0ms
x
@-inf
(*.f32 x (+.f32 (*.f32 2 x) 2))
0.0ms
x
@0
(*.f32 x (+.f32 (*.f32 2 x) 2))
0.0ms
x
@inf
(log1p.f32 (*.f32 x (+.f32 (*.f32 2 x) 2)))

rewrite63.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1508×rational.json-1
1504×rational.json-2
1504×rational.json-4
1504×rational.json-3
678×rational.json-simplify-13
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
15342
215242
376642
4555142
Stop Event
node limit
Counts
2 → 153
Calls
Call 1
Inputs
(*.f32 x (+.f32 (*.f32 2 x) 2))
(log1p.f32 (*.f32 x (+.f32 (*.f32 2 x) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 x (+.f32 (*.f32 x (+.f32 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 x (*.f32 1/2 (*.f32 x (+.f32 2 (*.f32 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 x x) (*.f32 x (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 x x) (-.f32 (*.f32 x (+.f32 2 (*.f32 x 4))) (*.f32 x (+.f32 x (+.f32 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x (+.f32 x (+.f32 2 x))) (-.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x (+.f32 x (+.f32 2 x))) (*.f32 x (-.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 x (+.f32 x (+.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x (+.f32 x x)) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x (+.f32 x x)) (-.f32 (*.f32 x (+.f32 (+.f32 x x) 4)) (*.f32 x (+.f32 x (+.f32 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x (+.f32 x x)) (-.f32 (+.f32 x x) (*.f32 x (-.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)) (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 x x) (*.f32 x (+.f32 x (+.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x 4) (*.f32 x (-.f32 (+.f32 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x 4) (-.f32 (*.f32 x (-.f32 (+.f32 x x) 2)) (*.f32 x (-.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) (*.f32 (-.f32 x -1) (*.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x (-.f32 x x)) (*.f32 x (+.f32 x (+.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x 3) (-.f32 (*.f32 x (+.f32 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x (+.f32 (+.f32 x x) 4)) (*.f32 x -2))))) (#(struct:change #<rule 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#<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (-.f32 0 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (-.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (/.f32 1 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 1 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))))))

simplify93.0ms (1.5%)

Algorithm
egg-herbie
Rules
936×rational.json-simplify-32
712×rational.json-simplify-51
546×rational.json-simplify-55
510×rational.json-simplify-13
456×rational.json-simplify-41
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03805921
114575367
268785329
Stop Event
node limit
Counts
177 → 301
Calls
Call 1
Inputs
(*.f32 2 x)
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(*.f32 2 (pow.f32 x 2))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(*.f32 2 (pow.f32 x 2))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(*.f32 2 x)
(+.f32 (*.f32 2 x) (*.f32 -4/3 (pow.f32 x 3)))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 -4/3 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 4))))
(+.f32 (*.f32 -8/5 (pow.f32 x 5)) (+.f32 (*.f32 2 x) (+.f32 (*.f32 -4/3 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 4)))))
(+.f32 (log.f32 2) (*.f32 -2 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (+.f32 (*.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x)))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x)))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 (log.f32 2) (*.f32 -2 (log.f32 (/.f32 -1 x))))
(+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (/.f32 1 x)))
(-.f32 (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (/.f32 1 x))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 4))) (/.f32 1 x)))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 x (+.f32 (*.f32 x (+.f32 x x)) x))
(+.f32 x (*.f32 1/2 (*.f32 x (+.f32 2 (*.f32 x 4)))))
(+.f32 (+.f32 x x) (*.f32 x (+.f32 x x)))
(+.f32 (+.f32 x x) (-.f32 (*.f32 x (+.f32 2 (*.f32 x 4))) (*.f32 x (+.f32 x (+.f32 2 x)))))
(+.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 0)
(+.f32 (*.f32 x (+.f32 x (+.f32 2 x))) (-.f32 x x))
(+.f32 (*.f32 x (+.f32 x (+.f32 2 x))) (*.f32 x (-.f32 x x)))
(+.f32 0 (*.f32 x (+.f32 x (+.f32 2 x))))
(+.f32 (*.f32 x (+.f32 x x)) (+.f32 x x))
(+.f32 (*.f32 x (+.f32 x x)) (-.f32 (*.f32 x (+.f32 (+.f32 x x) 4)) (*.f32 x (+.f32 x (+.f32 2 x)))))
(+.f32 (*.f32 x (+.f32 x x)) (-.f32 (+.f32 x x) (*.f32 x (-.f32 x x))))
(+.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)) (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))))
(+.f32 (-.f32 x x) (*.f32 x (+.f32 x (+.f32 2 x))))
(+.f32 (*.f32 x 4) (*.f32 x (-.f32 (+.f32 x x) 2)))
(+.f32 (*.f32 x 4) (-.f32 (*.f32 x (-.f32 (+.f32 x x) 2)) (*.f32 x (-.f32 x x))))
(+.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) (*.f32 (-.f32 x -1) (*.f32 x -2)))
(+.f32 (*.f32 x (-.f32 x x)) (*.f32 x (+.f32 x (+.f32 2 x))))
(+.f32 (*.f32 x 3) (-.f32 (*.f32 x (+.f32 x x)) x))
(+.f32 (*.f32 x (+.f32 (+.f32 x x) 4)) (*.f32 x -2))
(+.f32 (*.f32 x (-.f32 (+.f32 x x) 2)) (*.f32 x 4))
(+.f32 (*.f32 4 (*.f32 x x)) (-.f32 (+.f32 x x) (*.f32 x (+.f32 x x))))
(+.f32 (*.f32 4 (*.f32 x x)) (*.f32 x (-.f32 (*.f32 x -2) -2)))
(+.f32 (*.f32 4 (*.f32 x x)) (/.f32 (-.f32 (*.f32 x -2) -2) (/.f32 1 x)))
(+.f32 (*.f32 (+.f32 x x) 4) (-.f32 (*.f32 x (+.f32 x x)) (*.f32 x 6)))
(+.f32 (*.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) 2) (-.f32 0 (*.f32 x (*.f32 (+.f32 x (+.f32 2 x)) 3))))
(+.f32 (*.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) 2) (-.f32 (-.f32 x x) (*.f32 x (*.f32 (+.f32 x (+.f32 2 x)) 3))))
(+.f32 (*.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 1/2) (*.f32 1/2 (*.f32 x (+.f32 x (+.f32 2 x)))))
(+.f32 (*.f32 (*.f32 x (+.f32 x x)) 1/2) (*.f32 1/2 (*.f32 x (+.f32 (+.f32 x x) 4))))
(-.f32 x (-.f32 (*.f32 x 3) (*.f32 x (+.f32 (+.f32 x x) 4))))
(-.f32 (+.f32 x x) (*.f32 x (*.f32 x -2)))
(-.f32 (+.f32 x x) (-.f32 (*.f32 x (+.f32 (+.f32 x x) 4)) (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x)))))
(-.f32 (+.f32 x x) (-.f32 (*.f32 x 4) (*.f32 x (+.f32 (+.f32 x x) 4))))
(-.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 0)
(-.f32 (*.f32 x (+.f32 x (+.f32 2 x))) (-.f32 x x))
(-.f32 (*.f32 x (+.f32 x (+.f32 2 x))) (*.f32 x (-.f32 x x)))
(-.f32 (*.f32 x (+.f32 x (+.f32 2 x))) (+.f32 (*.f32 x (-.f32 x x)) (-.f32 x x)))
(-.f32 (*.f32 x (+.f32 x (+.f32 2 x))) (+.f32 (*.f32 x (-.f32 x x)) (*.f32 x (-.f32 x x))))
(-.f32 0 (*.f32 (-.f32 x -1) (*.f32 x -2)))
(-.f32 (*.f32 x (+.f32 x x)) (*.f32 x -2))
(-.f32 (*.f32 x -2) (-.f32 0 (*.f32 x (+.f32 (+.f32 x x) 4))))
(-.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)) (*.f32 (+.f32 (*.f32 x -2) -2) (+.f32 x x)))
(-.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)) (*.f32 (neg.f32 x) (+.f32 2 (+.f32 2 (*.f32 x 4)))))
(-.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)) (-.f32 (-.f32 x x) (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x)))))
(-.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)) (-.f32 0 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x)))))
(-.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)) (/.f32 (+.f32 x x) (/.f32 1 (+.f32 (*.f32 x -2) -2))))
(-.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)) (/.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) -1))
(-.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)) (/.f32 (+.f32 2 (+.f32 2 (*.f32 x 4))) (/.f32 -1 x)))
(-.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)) (*.f32 -1 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x)))))
(-.f32 (-.f32 x x) (*.f32 (-.f32 x -1) (*.f32 x -2)))
(-.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) (*.f32 x (+.f32 x (+.f32 2 x))))
(-.f32 (*.f32 x (-.f32 x x)) (*.f32 (-.f32 x -1) (*.f32 x -2)))
(-.f32 (*.f32 x (+.f32 2 (*.f32 x 4))) (*.f32 x (+.f32 x x)))
(-.f32 (*.f32 x (*.f32 (+.f32 x (+.f32 2 x)) 3)) (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))))
(-.f32 (*.f32 x (+.f32 (+.f32 x x) 4)) (+.f32 x x))
(-.f32 (*.f32 x 6) (-.f32 (*.f32 (+.f32 x x) 4) (*.f32 x (+.f32 (+.f32 x x) 4))))
(-.f32 (*.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) 2) (*.f32 x (*.f32 (+.f32 x (+.f32 2 x)) 3)))
(-.f32 (-.f32 (*.f32 x (+.f32 (+.f32 x x) 4)) (*.f32 x (-.f32 x x))) (+.f32 x x))
(-.f32 (-.f32 (*.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) 2) (*.f32 x (-.f32 x x))) (*.f32 x (*.f32 (+.f32 x (+.f32 2 x)) 3)))
(-.f32 (+.f32 (+.f32 x x) (*.f32 4 (*.f32 x x))) (*.f32 x (+.f32 x x)))
(-.f32 (+.f32 (*.f32 x (+.f32 x x)) (*.f32 x 3)) x)
(-.f32 (+.f32 (*.f32 x (+.f32 x x)) (*.f32 (+.f32 x x) 4)) (*.f32 x 6))
(-.f32 (+.f32 (-.f32 x x) (*.f32 x (+.f32 (+.f32 x x) 4))) (+.f32 x x))
(-.f32 (+.f32 (-.f32 x x) (*.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) 2)) (*.f32 x (*.f32 (+.f32 x (+.f32 2 x)) 3)))
(-.f32 (*.f32 (*.f32 x 4) (+.f32 x (+.f32 2 x))) (*.f32 x (*.f32 (+.f32 x (+.f32 2 x)) 3)))
(-.f32 (*.f32 (+.f32 2 (*.f32 x 4)) x) (*.f32 x (+.f32 x x)))
(-.f32 (*.f32 (*.f32 (+.f32 2 (+.f32 2 (*.f32 x 4))) 2) x) (*.f32 x (*.f32 (+.f32 x (+.f32 2 x)) 3)))
(-.f32 (*.f32 (-.f32 x x) -1) (*.f32 (-.f32 x -1) (*.f32 x -2)))
(-.f32 (*.f32 (*.f32 x (*.f32 (+.f32 x (+.f32 2 x)) 3)) 1/2) (*.f32 1/2 (*.f32 x (+.f32 x (+.f32 2 x)))))
(-.f32 (+.f32 (*.f32 x (+.f32 (+.f32 x x) 4)) (*.f32 x (+.f32 (+.f32 x x) 4))) (+.f32 (*.f32 x (+.f32 (+.f32 x x) 4)) (+.f32 x x)))
(-.f32 (+.f32 (*.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) 2) (*.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) 2)) (+.f32 (*.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) 2) (*.f32 x (*.f32 (+.f32 x (+.f32 2 x)) 3))))
(/.f32 x (/.f32 1 (+.f32 x (+.f32 2 x))))
(/.f32 x (neg.f32 (/.f32 1 (+.f32 (*.f32 x -2) -2))))
(/.f32 (+.f32 x x) (/.f32 (/.f32 1 (+.f32 x (+.f32 2 x))) 1/2))
(/.f32 (+.f32 x (+.f32 2 x)) (/.f32 1 x))
(/.f32 (+.f32 x (+.f32 2 x)) (neg.f32 (/.f32 -1 x)))
(/.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 1)
(/.f32 1 (/.f32 (/.f32 1/2 x) (-.f32 x -1)))
(/.f32 -1 (/.f32 1 (*.f32 (-.f32 x -1) (*.f32 x -2))))
(/.f32 (+.f32 (*.f32 x -2) -2) (/.f32 -1 x))
(/.f32 (neg.f32 x) (/.f32 1 (+.f32 (*.f32 x -2) -2)))
(/.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)) -1)
(/.f32 (+.f32 2 (+.f32 2 (*.f32 x 4))) (/.f32 (/.f32 1 x) 1/2))
(/.f32 1/2 (/.f32 (/.f32 1 (+.f32 x (+.f32 2 x))) (+.f32 x x)))
(/.f32 1/2 (/.f32 (/.f32 1 x) (+.f32 2 (+.f32 2 (*.f32 x 4)))))
(/.f32 1/2 (/.f32 (/.f32 1/2 (+.f32 x (+.f32 2 x))) x))
(/.f32 1/2 (/.f32 (/.f32 1/2 x) (+.f32 x (+.f32 2 x))))
(/.f32 1/2 (/.f32 1 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x)))))
(/.f32 1/2 (/.f32 -1 (+.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)) (*.f32 (-.f32 x -1) (*.f32 x -2)))))
(/.f32 (-.f32 x -1) (/.f32 1/2 x))
(/.f32 (*.f32 x 1/2) (/.f32 1/2 (+.f32 x (+.f32 2 x))))
(/.f32 (*.f32 (+.f32 x (+.f32 2 x)) 1/2) (/.f32 1/2 x))
(/.f32 (-.f32 (+.f32 (*.f32 x 4) (*.f32 x 3)) (*.f32 (+.f32 x x) 4)) (/.f32 1 (+.f32 (*.f32 x -2) -2)))
(/.f32 (-.f32 (*.f32 x 1/2) (*.f32 (*.f32 x 3) 1/2)) (/.f32 1 (+.f32 (*.f32 x -2) -2)))
(/.f32 (-.f32 (-.f32 (*.f32 x 3) (+.f32 2 (*.f32 x 4))) x) (/.f32 -1 x))
(/.f32 (-.f32 (*.f32 x -2) 2) (/.f32 -1 x))
(/.f32 (-.f32 (-.f32 (*.f32 x 4) (+.f32 2 (*.f32 x 4))) (+.f32 x x)) (/.f32 -1 x))
(/.f32 (-.f32 (-.f32 0 (+.f32 2 (*.f32 x 4))) (*.f32 x -2)) (/.f32 -1 x))
(/.f32 (-.f32 (*.f32 -1 (+.f32 2 (+.f32 2 (*.f32 x 4)))) (+.f32 (*.f32 x -2) -2)) (/.f32 -1 x))
(/.f32 (-.f32 (-.f32 (*.f32 (+.f32 x x) 4) (+.f32 2 (*.f32 x 4))) (*.f32 x 6)) (/.f32 -1 x))
(/.f32 (-.f32 (*.f32 (+.f32 x (+.f32 2 x)) 3) (-.f32 (*.f32 (+.f32 2 (+.f32 2 (*.f32 x 4))) 2) (-.f32 x x))) (/.f32 -1 x))
(/.f32 (-.f32 x (+.f32 2 (*.f32 x 3))) (/.f32 -1 x))
(/.f32 (-.f32 (*.f32 x 6) (+.f32 2 (*.f32 (+.f32 x x) 4))) (/.f32 -1 x))
(/.f32 (-.f32 (*.f32 (+.f32 x (+.f32 2 x)) 1/2) (*.f32 (*.f32 (+.f32 x (+.f32 2 x)) 3) 1/2)) (/.f32 -1 x))
(/.f32 (-.f32 (+.f32 (+.f32 2 (*.f32 x 4)) (+.f32 x x)) (+.f32 (+.f32 2 (*.f32 x 4)) (+.f32 2 (*.f32 x 4)))) (/.f32 -1 x))
(/.f32 (-.f32 (+.f32 (*.f32 (+.f32 2 (+.f32 2 (*.f32 x 4))) 2) (*.f32 (+.f32 x (+.f32 2 x)) 3)) (+.f32 (*.f32 (+.f32 2 (+.f32 2 (*.f32 x 4))) 2) (*.f32 (+.f32 2 (+.f32 2 (*.f32 x 4))) 2))) (/.f32 -1 x))
(/.f32 (-.f32 (/.f32 (*.f32 x 3) -1) (/.f32 (*.f32 x 4) -1)) (/.f32 1 (+.f32 x (+.f32 2 x))))
(/.f32 (-.f32 (*.f32 x -2) (-.f32 x (*.f32 x 4))) (/.f32 1 (+.f32 x (+.f32 2 x))))
(/.f32 (-.f32 (+.f32 2 (+.f32 x (+.f32 2 x))) (-.f32 (+.f32 x (+.f32 2 x)) (+.f32 x x))) (/.f32 1 x))
(/.f32 (-.f32 (+.f32 2 (*.f32 x 4)) (-.f32 (+.f32 x (+.f32 2 x)) 2)) (/.f32 1 x))
(/.f32 (-.f32 (*.f32 x -2) (/.f32 (+.f32 2 (*.f32 x 4)) -1)) (/.f32 1 x))
(/.f32 (-.f32 (/.f32 (*.f32 (+.f32 x (+.f32 2 x)) 3) -1) (/.f32 (*.f32 (+.f32 2 (+.f32 2 (*.f32 x 4))) 2) -1)) (/.f32 1 x))
(neg.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)))
(+.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0)
(+.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0))
(+.f32 0 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(+.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(+.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0) (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))
(+.f32 (*.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 2) (-.f32 0 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3)))
(+.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/2) (*.f32 1/2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(-.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0)
(-.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0))
(-.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) (+.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0)))
(-.f32 0 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(-.f32 0 (*.f32 -1 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (-.f32 0 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (/.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) -1))
(-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (*.f32 -1 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))
(-.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))
(-.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0) (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(-.f32 (*.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 2) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3))
(-.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3) (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(-.f32 (-.f32 (*.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 2) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0)) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3))
(-.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3) 1/2) (*.f32 1/2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(-.f32 (+.f32 (*.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 2) (*.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 2)) (+.f32 (*.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 2) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3)))
(*.f32 2 (/.f32 1/2 (/.f32 1 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))
(*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1)
(*.f32 1 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))
(*.f32 -1 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(*.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) -1)
(*.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 1/2)
(*.f32 1/2 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(*.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) -1/2)
(*.f32 -1/2 (-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(*.f32 -1/2 (-.f32 0 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))
(*.f32 -1/2 (-.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3)))
(/.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1)
(/.f32 1 (/.f32 1 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(/.f32 -1 (/.f32 1 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))
(/.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) -1)
(/.f32 1/2 (/.f32 1 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))
(/.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))
(neg.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
Outputs
(*.f32 2 x)
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(*.f32 2 (pow.f32 x 2))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(*.f32 2 (pow.f32 x 2))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(*.f32 2 x)
(+.f32 (*.f32 2 x) (*.f32 -4/3 (pow.f32 x 3)))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 -4/3 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 4))))
(+.f32 (*.f32 -4/3 (pow.f32 x 3)) (*.f32 2 (+.f32 x (pow.f32 x 4))))
(+.f32 (*.f32 -8/5 (pow.f32 x 5)) (+.f32 (*.f32 2 x) (+.f32 (*.f32 -4/3 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 4)))))
(+.f32 (+.f32 (*.f32 2 x) (+.f32 (*.f32 -4/3 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 4)))) (*.f32 -8/5 (pow.f32 x 5)))
(+.f32 (*.f32 -4/3 (pow.f32 x 3)) (+.f32 (*.f32 -8/5 (pow.f32 x 5)) (*.f32 2 (+.f32 x (pow.f32 x 4)))))
(+.f32 (log.f32 2) (*.f32 -2 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (+.f32 (*.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x)))
(+.f32 (log.f32 2) (+.f32 (/.f32 1 x) (*.f32 -2 (log.f32 (/.f32 1 x)))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 (log.f32 2) (-.f32 (+.f32 (/.f32 1 x) (*.f32 -2 (log.f32 (/.f32 1 x)))) (/.f32 1/6 (pow.f32 x 3))))
(+.f32 (*.f32 -2 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (-.f32 (/.f32 1 x) (/.f32 1/6 (pow.f32 x 3)))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x)))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 (log.f32 2) (-.f32 (+.f32 (*.f32 -2 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 1 x) (/.f32 1/8 (pow.f32 x 4)))) (/.f32 1/6 (pow.f32 x 3))))
(+.f32 (log.f32 2) (+.f32 (*.f32 -2 (log.f32 (/.f32 1 x))) (-.f32 (+.f32 (/.f32 1 x) (/.f32 1/8 (pow.f32 x 4))) (/.f32 1/6 (pow.f32 x 3)))))
(+.f32 (log.f32 2) (*.f32 -2 (log.f32 (/.f32 -1 x))))
(+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (/.f32 1 x)))
(+.f32 (log.f32 2) (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (/.f32 1 x)))
(+.f32 (log.f32 2) (+.f32 (/.f32 1 x) (*.f32 -2 (log.f32 (/.f32 -1 x)))))
(-.f32 (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (/.f32 1 x))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (-.f32 (+.f32 (log.f32 2) (/.f32 1 x)) (/.f32 1/6 (pow.f32 x 3))))
(+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (-.f32 (/.f32 1 x) (/.f32 1/6 (pow.f32 x 3)))))
(-.f32 (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 4))) (/.f32 1 x)))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (-.f32 (+.f32 (log.f32 2) (+.f32 (/.f32 1 x) (/.f32 1/8 (pow.f32 x 4)))) (/.f32 1/6 (pow.f32 x 3))))
(+.f32 (+.f32 (/.f32 1 x) (+.f32 (log.f32 2) (/.f32 1/8 (pow.f32 x 4)))) (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (/.f32 1/6 (pow.f32 x 3))))
(+.f32 x (+.f32 (*.f32 x (+.f32 x x)) x))
(+.f32 (+.f32 x x) (*.f32 x (+.f32 x x)))
(+.f32 x (*.f32 1/2 (*.f32 x (+.f32 2 (*.f32 x 4)))))
(+.f32 x (*.f32 x (*.f32 1/2 (+.f32 2 (*.f32 x 4)))))
(*.f32 (+.f32 (*.f32 x 4) 4) (*.f32 x 1/2))
(+.f32 (+.f32 x x) (*.f32 x (+.f32 x x)))
(+.f32 (+.f32 x x) (-.f32 (*.f32 x (+.f32 2 (*.f32 x 4))) (*.f32 x (+.f32 x (+.f32 2 x)))))
(+.f32 (+.f32 x x) (-.f32 (*.f32 x (+.f32 2 (*.f32 x 4))) (*.f32 x (+.f32 2 (+.f32 x x)))))
(+.f32 x (+.f32 (*.f32 x (-.f32 (+.f32 2 (*.f32 x 4)) (+.f32 2 (+.f32 x x)))) x))
(+.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 0)
(*.f32 x (+.f32 2 (+.f32 x x)))
(+.f32 (*.f32 x (+.f32 x (+.f32 2 x))) (-.f32 x x))
(+.f32 x (-.f32 (*.f32 x (+.f32 2 (+.f32 x x))) x))
(+.f32 (*.f32 x (+.f32 x (+.f32 2 x))) (*.f32 x (-.f32 x x)))
(+.f32 (*.f32 x (+.f32 2 (+.f32 x x))) (*.f32 x (-.f32 x x)))
(*.f32 x (+.f32 (+.f32 2 (+.f32 x x)) (-.f32 x x)))
(+.f32 0 (*.f32 x (+.f32 x (+.f32 2 x))))
(*.f32 x (+.f32 2 (+.f32 x x)))
(+.f32 (*.f32 x (+.f32 x x)) (+.f32 x x))
(+.f32 (+.f32 x x) (*.f32 x (+.f32 x x)))
(+.f32 (*.f32 x (+.f32 x x)) (-.f32 (*.f32 x (+.f32 (+.f32 x x) 4)) (*.f32 x (+.f32 x (+.f32 2 x)))))
(-.f32 (+.f32 (*.f32 x (+.f32 x x)) (*.f32 x (+.f32 4 (+.f32 x x)))) (*.f32 x (+.f32 2 (+.f32 x x))))
(+.f32 (*.f32 x (+.f32 x (+.f32 x 4))) (-.f32 (*.f32 x x) (*.f32 x (+.f32 2 x))))
(+.f32 (*.f32 x (+.f32 x x)) (-.f32 (+.f32 x x) (*.f32 x (-.f32 x x))))
(+.f32 (+.f32 x x) (*.f32 x (-.f32 (+.f32 x x) (-.f32 x x))))
(+.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)) (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))))
(+.f32 (*.f32 (+.f32 x 1) (*.f32 x -2)) (*.f32 4 (+.f32 x (*.f32 x x))))
(+.f32 (*.f32 -2 (*.f32 x (+.f32 x 1))) (*.f32 x (+.f32 4 (*.f32 x 4))))
(+.f32 (-.f32 x x) (*.f32 x (+.f32 x (+.f32 2 x))))
(+.f32 x (-.f32 (*.f32 x (+.f32 2 (+.f32 x x))) x))
(+.f32 (*.f32 x 4) (*.f32 x (-.f32 (+.f32 x x) 2)))
(+.f32 (*.f32 x 4) (*.f32 x (+.f32 x (-.f32 x 2))))
(*.f32 x (+.f32 4 (+.f32 x (-.f32 x 2))))
(+.f32 (*.f32 x 4) (-.f32 (*.f32 x (-.f32 (+.f32 x x) 2)) (*.f32 x (-.f32 x x))))
(+.f32 (*.f32 x 4) (-.f32 (*.f32 x (+.f32 x (-.f32 x 2))) (*.f32 x (-.f32 x x))))
(+.f32 (*.f32 x 4) (*.f32 x (-.f32 (+.f32 x (-.f32 x 2)) (-.f32 x x))))
(+.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) (*.f32 (-.f32 x -1) (*.f32 x -2)))
(+.f32 (*.f32 (+.f32 x 1) (*.f32 x -2)) (*.f32 4 (+.f32 x (*.f32 x x))))
(+.f32 (*.f32 -2 (*.f32 x (+.f32 x 1))) (*.f32 x (+.f32 4 (*.f32 x 4))))
(+.f32 (*.f32 x (-.f32 x x)) (*.f32 x (+.f32 x (+.f32 2 x))))
(+.f32 (*.f32 x (+.f32 2 (+.f32 x x))) (*.f32 x (-.f32 x x)))
(*.f32 x (+.f32 (+.f32 2 (+.f32 x x)) (-.f32 x x)))
(+.f32 (*.f32 x 3) (-.f32 (*.f32 x (+.f32 x x)) x))
(+.f32 (*.f32 x (+.f32 x x)) (-.f32 (*.f32 x 3) x))
(-.f32 (*.f32 x (+.f32 (+.f32 x x) 3)) x)
(+.f32 (*.f32 x (+.f32 (+.f32 x x) 4)) (*.f32 x -2))
(+.f32 (*.f32 x (+.f32 4 (+.f32 x x))) (*.f32 x -2))
(*.f32 x (+.f32 (+.f32 x (+.f32 x 4)) -2))
(+.f32 (*.f32 x (-.f32 (+.f32 x x) 2)) (*.f32 x 4))
(+.f32 (*.f32 x 4) (*.f32 x (+.f32 x (-.f32 x 2))))
(*.f32 x (+.f32 4 (+.f32 x (-.f32 x 2))))
(+.f32 (*.f32 4 (*.f32 x x)) (-.f32 (+.f32 x x) (*.f32 x (+.f32 x x))))
(+.f32 (+.f32 x x) (-.f32 (*.f32 x (*.f32 x 4)) (*.f32 x (+.f32 x x))))
(+.f32 x (+.f32 (*.f32 x (*.f32 x 4)) (-.f32 x (*.f32 x (+.f32 x x)))))
(+.f32 (*.f32 4 (*.f32 x x)) (*.f32 x (-.f32 (*.f32 x -2) -2)))
(+.f32 (*.f32 x (*.f32 x 4)) (*.f32 x (-.f32 (*.f32 x -2) -2)))
(*.f32 x (+.f32 (-.f32 (*.f32 x -2) -2) (*.f32 x 4)))
(+.f32 (*.f32 4 (*.f32 x x)) (/.f32 (-.f32 (*.f32 x -2) -2) (/.f32 1 x)))
(+.f32 (*.f32 x (*.f32 x 4)) (*.f32 x (-.f32 (*.f32 x -2) -2)))
(*.f32 x (+.f32 (-.f32 (*.f32 x -2) -2) (*.f32 x 4)))
(+.f32 (*.f32 (+.f32 x x) 4) (-.f32 (*.f32 x (+.f32 x x)) (*.f32 x 6)))
(-.f32 (*.f32 (+.f32 x x) (+.f32 x 4)) (*.f32 x 6))
(+.f32 (*.f32 x 8) (*.f32 x (-.f32 (+.f32 x x) 6)))
(+.f32 (*.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) 2) (-.f32 0 (*.f32 x (*.f32 (+.f32 x (+.f32 2 x)) 3))))
(+.f32 (*.f32 2 (*.f32 4 (+.f32 x (*.f32 x x)))) (neg.f32 (*.f32 (+.f32 2 (+.f32 x x)) (*.f32 x 3))))
(-.f32 (*.f32 4 (*.f32 2 (+.f32 x (*.f32 x x)))) (*.f32 x (+.f32 6 (*.f32 x 6))))
(+.f32 (*.f32 (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x))) 2) (-.f32 (-.f32 x x) (*.f32 x (*.f32 (+.f32 x (+.f32 2 x)) 3))))
(+.f32 (-.f32 x x) (-.f32 (*.f32 2 (*.f32 4 (+.f32 x (*.f32 x x)))) (*.f32 (+.f32 2 (+.f32 x x)) (*.f32 x 3))))
(+.f32 (-.f32 x x) (-.f32 (*.f32 4 (*.f32 2 (+.f32 x (*.f32 x x)))) (*.f32 x (+.f32 6 (*.f32 x 6)))))
(+.f32 (*.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 1/2) (*.f32 1/2 (*.f32 x (+.f32 x (+.f32 2 x)))))
(*.f32 x (+.f32 2 (+.f32 x x)))
(+.f32 (*.f32 (*.f32 x (+.f32 x x)) 1/2) (*.f32 1/2 (*.f32 x (+.f32 (+.f32 x x) 4))))
(*.f32 x (+.f32 2 (+.f32 x x)))
(-.f32 x (-.f32 (*.f32 x 3) (*.f32 x (+.f32 (+.f32 x x) 4))))
(-.f32 x (-.f32 (*.f32 x 3) (*.f32 x (+.f32 4 (+.f32 x x)))))
(-.f32 x (*.f32 x (-.f32 3 (+.f32 x (+.f32 x 4)))))
(-.f32 (+.f32 x x) (*.f32 x (*.f32 x -2)))
(+.f32 x (-.f32 x (*.f32 -2 (*.f32 x x))))
(-.f32 (+.f32 x x) (-.f32 (*.f32 x (+.f32 (+.f32 x x) 4)) (+.f32 (*.f32 x 4) (*.f32 4 (*.f32 x x)))))
(-.f32 (+.f32 x x) (-.f32 (*.f32 x (+.f32 4 (+.f32 x x))) (*.f32 4 (+.f32 x (*.f32 x x)))))
(-.f32 (*.f32 x (+.f32 4 (*.f32 x 4))) (-.f32 (*.f32 x (+.f32 x (+.f32 x 4))) (+.f32 x x)))
(-.f32 (+.f32 x x) (-.f32 (*.f32 x 4) (*.f32 x (+.f32 (+.f32 x x) 4))))
(-.f32 (+.f32 x x) (-.f32 (*.f32 x 4) (*.f32 x (+.f32 4 (+.f32 x x)))))
(-.f32 (+.f32 x x) (*.f32 x (-.f32 4 (+.f32 x (+.f32 x 4)))))
(-.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 0)
(*.f32 x (+.f32 2 (+.f32 x x)))
(-.f32 (*.f32 x (+.f32 x (+.f32 2 x))) (-.f32 x x))
(-.f32 x (-.f32 x (*.f32 x (+.f32 2 (+.f32 x x)))))
(-.f32 (*.f32 x (+.f32 x (+.f32 2 x))) (*.f32 x (-.f32 x x)))
(-.f32 (*.f32 x (+.f32 2 (+.f32 x x))) (*.f32 x (-.f32 x x)))
(*.f32 x (-.f32 (+.f32 2 (+.f32 x x)) (-.f32 x x)))
(-.f32 (*.f32 x (+.f32 x (+.f32 2 x))) (+.f32 (*.f32 x (-.f32 x x)) (-.f32 x x)))
(-.f32 (*.f32 x (+.f32 2 (+.f32 x x))) (+.f32 x (-.f32 (*.f32 x (-.f32 x x)) x)))
(-.f32 x (-.f32 (+.f32 x (*.f32 x (-.f32 x x))) (*.f32 x (+.f32 2 (+.f32 x x)))))
(-.f32 (*.f32 x (+.f32 x (+.f32 2 x))) (+.f32 (*.f32 x (-.f32 x x)) (*.f32 x (-.f32 x x))))
(-.f32 (*.f32 x (+.f32 2 (+.f32 x x))) (*.f32 x (-.f32 x x)))
(*.f32 x (-.f32 (+.f32 2 (+.f32 x x)) (-.f32 x x)))
(-.f32 0 (*.f32 (-.f32 x -1) (*.f32 x -2)))
(neg.f32 (*.f32 (+.f32 x 1) (*.f32 x -2)))
(*.f32 (*.f32 x -2) (neg.f32 (+.f32 x 1)))
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(/.f32 (-.f32 (+.f32 2 (+.f32 x (+.f32 2 x))) (-.f32 (+.f32 x (+.f32 2 x)) (+.f32 x x))) (/.f32 1 x))
(*.f32 (-.f32 (+.f32 2 (+.f32 2 (+.f32 x x))) (+.f32 x (-.f32 (+.f32 2 x) (+.f32 x x)))) (/.f32 x 1))
(*.f32 x (-.f32 (+.f32 x (+.f32 x 4)) (+.f32 2 (-.f32 x x))))
(/.f32 (-.f32 (+.f32 2 (*.f32 x 4)) (-.f32 (+.f32 x (+.f32 2 x)) 2)) (/.f32 1 x))
(*.f32 (-.f32 (+.f32 2 (*.f32 x 4)) (+.f32 x (-.f32 (+.f32 2 x) 2))) (/.f32 x 1))
(*.f32 x (+.f32 (*.f32 x 4) (-.f32 2 (+.f32 x (+.f32 x 0)))))
(/.f32 (-.f32 (*.f32 x -2) (/.f32 (+.f32 2 (*.f32 x 4)) -1)) (/.f32 1 x))
(-.f32 (*.f32 x (+.f32 x x)) (*.f32 x -2))
(*.f32 x (/.f32 (+.f32 x 1) 1/2))
(/.f32 (-.f32 (/.f32 (*.f32 (+.f32 x (+.f32 2 x)) 3) -1) (/.f32 (*.f32 (+.f32 2 (+.f32 2 (*.f32 x 4))) 2) -1)) (/.f32 1 x))
(*.f32 x (-.f32 (*.f32 2 (+.f32 2 (+.f32 2 (*.f32 x 4)))) (*.f32 3 (+.f32 2 (+.f32 x x)))))
(*.f32 x (-.f32 (*.f32 2 (+.f32 (*.f32 x 4) 4)) (+.f32 6 (*.f32 x 6))))
(neg.f32 (*.f32 (-.f32 x -1) (*.f32 x -2)))
(neg.f32 (*.f32 (+.f32 x 1) (*.f32 x -2)))
(*.f32 (*.f32 x -2) (neg.f32 (+.f32 x 1)))
(+.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(+.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(+.f32 0 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(+.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(+.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0) (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(+.f32 (*.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 2) (-.f32 0 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3)))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(+.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/2) (*.f32 1/2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) (+.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0)))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 0 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 0 (*.f32 -1 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (-.f32 0 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (/.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) -1))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (*.f32 -1 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0) (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 (*.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 2) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3) (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 (-.f32 (*.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 2) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0)) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3) 1/2) (*.f32 1/2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(-.f32 (+.f32 (*.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 2) (*.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 2)) (+.f32 (*.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 2) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3)))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(*.f32 2 (/.f32 1/2 (/.f32 1 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(*.f32 1 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(*.f32 -1 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(*.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) -1)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(*.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 1/2)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(*.f32 1/2 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(*.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) -1/2)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(*.f32 -1/2 (-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(*.f32 -1/2 (-.f32 0 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(*.f32 -1/2 (-.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 3)))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(/.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(/.f32 1 (/.f32 1 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(/.f32 -1 (/.f32 1 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(/.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) -1)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(/.f32 1/2 (/.f32 1 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(/.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(neg.f32 (neg.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))

localize51.0ms (0.8%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(pow.f32 x 3)
0.1b
(*.f32 (pow.f32 x 3) 2/3)
Compiler

Compiled 37 to 29 computations (21.6% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f32 x 3)
0.0ms
x
@0
(*.f32 (pow.f32 x 3) 2/3)
0.0ms
x
@inf
(pow.f32 x 3)
0.0ms
x
@-inf
(*.f32 (pow.f32 x 3) 2/3)
0.0ms
x
@inf
(*.f32 (pow.f32 x 3) 2/3)

rewrite60.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
750×rational.json-simplify-25
736×rational.json-simplify-3
724×rational.json-simplify-1
710×rational.json-simplify-34
578×rational.json-simplify-15
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
13820
29220
333920
4178620
Stop Event
node limit
Counts
2 → 186
Calls
Call 1
Inputs
(*.f32 (pow.f32 x 3) 2/3)
(pow.f32 x 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 x 3) (*.f32 1/2 (*.f32 (pow.f32 x 3) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 x 3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) -2/3) (*.f32 (pow.f32 x 3) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) 4/3) (*.f32 (pow.f32 x 3) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) 0) (*.f32 (pow.f32 x 3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) -2) (*.f32 (pow.f32 x 3) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) -4/3) (*.f32 (pow.f32 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) 8/3) (*.f32 (pow.f32 x 3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) 8/3) (/.f32 (*.f32 (pow.f32 x 3) -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (pow.f32 x 3) 2/3) -1/2) (pow.f32 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (pow.f32 x 3) 4/3) 1/3) (*.f32 1/3 (*.f32 (pow.f32 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 3 (pow.f32 x 3)) 1/3) (*.f32 1/3 (neg.f32 (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (pow.f32 x 3) 8/3) 1/3) (*.f32 1/3 (*.f32 (pow.f32 x 3) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (pow.f32 x 3) 2/3) 1/3) (*.f32 1/3 (*.f32 (pow.f32 x 3) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 x 3) (*.f32 (pow.f32 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 x 3) (+.f32 (neg.f32 (pow.f32 x 3)) (*.f32 (pow.f32 x 3) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 x 3) (+.f32 (pow.f32 x 3) (*.f32 (pow.f32 x 3) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (pow.f32 x 3) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (pow.f32 x 3)) (+.f32 (*.f32 (pow.f32 x 3) -2) (*.f32 (pow.f32 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (pow.f32 x 3)) (+.f32 (*.f32 (pow.f32 x 3) -3) (*.f32 (pow.f32 x 3) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (pow.f32 x 3)) (+.f32 (neg.f32 (pow.f32 x 3)) (*.f32 (pow.f32 x 3) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) -2/3) (*.f32 (pow.f32 x 3) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) 2) (*.f32 (pow.f32 x 3) 4/3))))) (#(struct:change #<rule 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simplify113.0ms (1.8%)

Algorithm
egg-herbie
Rules
1764×rational.json-simplify-51
1108×rational.json-simplify-3
780×rational.json-simplify-41
498×rational.json-simplify-19
466×rational.json-simplify-15
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03352140
110272112
273672112
Stop Event
node limit
Counts
198 → 190
Calls
Call 1
Inputs
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (pow.f32 x 3) (*.f32 1/2 (*.f32 (pow.f32 x 3) -2/3)))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) 0)
(+.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 0))
(+.f32 0 (*.f32 (pow.f32 x 3) 2/3))
(+.f32 (*.f32 (pow.f32 x 3) -2/3) (*.f32 (pow.f32 x 3) 4/3))
(+.f32 (*.f32 (pow.f32 x 3) 4/3) (*.f32 (pow.f32 x 3) -2/3))
(+.f32 (*.f32 (pow.f32 x 3) 0) (*.f32 (pow.f32 x 3) 2/3))
(+.f32 (*.f32 (pow.f32 x 3) -2) (*.f32 (pow.f32 x 3) 8/3))
(+.f32 (*.f32 (pow.f32 x 3) -4/3) (*.f32 (pow.f32 x 3) 2))
(+.f32 (*.f32 (pow.f32 x 3) 8/3) (*.f32 (pow.f32 x 3) -2))
(+.f32 (*.f32 (pow.f32 x 3) 8/3) (/.f32 (*.f32 (pow.f32 x 3) -3) 3/2))
(+.f32 (*.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 3) 1/3))
(+.f32 (*.f32 (*.f32 (pow.f32 x 3) 2/3) -1/2) (pow.f32 x 3))
(+.f32 (*.f32 (*.f32 (pow.f32 x 3) 4/3) 1/3) (*.f32 1/3 (*.f32 (pow.f32 x 3) 2/3)))
(+.f32 (*.f32 (*.f32 3 (pow.f32 x 3)) 1/3) (*.f32 1/3 (neg.f32 (pow.f32 x 3))))
(+.f32 (*.f32 (*.f32 (pow.f32 x 3) 8/3) 1/3) (*.f32 1/3 (*.f32 (pow.f32 x 3) -2/3)))
(+.f32 (*.f32 (*.f32 (pow.f32 x 3) 2/3) 1/3) (*.f32 1/3 (*.f32 (pow.f32 x 3) 4/3)))
(-.f32 (pow.f32 x 3) (*.f32 (pow.f32 x 3) 1/3))
(-.f32 (pow.f32 x 3) (+.f32 (neg.f32 (pow.f32 x 3)) (*.f32 (pow.f32 x 3) 4/3)))
(-.f32 (pow.f32 x 3) (+.f32 (pow.f32 x 3) (*.f32 (pow.f32 x 3) -2/3)))
(-.f32 (*.f32 (pow.f32 x 3) 2/3) 0)
(-.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 0))
(-.f32 0 (*.f32 (pow.f32 x 3) -2/3))
(-.f32 (neg.f32 (pow.f32 x 3)) (+.f32 (*.f32 (pow.f32 x 3) -2) (*.f32 (pow.f32 x 3) 1/3)))
(-.f32 (neg.f32 (pow.f32 x 3)) (+.f32 (*.f32 (pow.f32 x 3) -3) (*.f32 (pow.f32 x 3) 4/3)))
(-.f32 (neg.f32 (pow.f32 x 3)) (+.f32 (neg.f32 (pow.f32 x 3)) (*.f32 (pow.f32 x 3) -2/3)))
(-.f32 (*.f32 (pow.f32 x 3) -2/3) (*.f32 (pow.f32 x 3) -4/3))
(-.f32 (*.f32 (pow.f32 x 3) 2) (*.f32 (pow.f32 x 3) 4/3))
(-.f32 (*.f32 (pow.f32 x 3) 4/3) (*.f32 (pow.f32 x 3) 2/3))
(-.f32 (*.f32 (pow.f32 x 3) 4/3) (+.f32 (*.f32 (pow.f32 x 3) 2) (*.f32 (pow.f32 x 3) -4/3)))
(-.f32 (*.f32 (pow.f32 x 3) 0) (*.f32 (pow.f32 x 3) -2/3))
(-.f32 (*.f32 (pow.f32 x 3) -2) (*.f32 -2/3 (*.f32 (pow.f32 x 3) 4)))
(-.f32 (*.f32 (pow.f32 x 3) -2) (*.f32 (*.f32 (pow.f32 x 3) 8/3) -1))
(-.f32 (*.f32 (pow.f32 x 3) -2) (*.f32 -1 (*.f32 (pow.f32 x 3) 8/3)))
(-.f32 (*.f32 (pow.f32 x 3) -4/3) (*.f32 (pow.f32 x 3) -2))
(-.f32 (*.f32 (pow.f32 x 3) -4/3) (/.f32 (*.f32 3 (pow.f32 x 3)) -3/2))
(-.f32 (*.f32 (pow.f32 x 3) 8/3) (*.f32 (pow.f32 x 3) 2))
(-.f32 (-.f32 (*.f32 (pow.f32 x 3) 8/3) (*.f32 (pow.f32 x 3) 0)) (*.f32 (pow.f32 x 3) 2))
(-.f32 (*.f32 (pow.f32 x 3) 1/3) (*.f32 -1/2 (*.f32 (pow.f32 x 3) 2/3)))
(-.f32 (*.f32 (pow.f32 x 3) 1/3) (*.f32 1/2 (*.f32 (pow.f32 x 3) -2/3)))
(-.f32 (*.f32 (pow.f32 x 3) 1/3) (*.f32 1/3 (neg.f32 (pow.f32 x 3))))
(-.f32 (*.f32 (*.f32 (pow.f32 x 3) 8/3) 2) (/.f32 14/3 (/.f32 1 (pow.f32 x 3))))
(-.f32 (*.f32 (neg.f32 (pow.f32 x 3)) 1/3) (*.f32 1/3 (*.f32 (pow.f32 x 3) -3)))
(-.f32 (*.f32 (*.f32 (pow.f32 x 3) -2/3) 1/2) (neg.f32 (pow.f32 x 3)))
(-.f32 (-.f32 (*.f32 (pow.f32 x 3) 2/3) (pow.f32 x 3)) (neg.f32 (pow.f32 x 3)))
(-.f32 (/.f32 (*.f32 3 (pow.f32 x 3)) -3/2) (/.f32 (*.f32 (pow.f32 x 3) 4) -3/2))
(-.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 (pow.f32 x 3) 0)) 3/2) (*.f32 (pow.f32 x 3) 2))
(-.f32 (/.f32 (*.f32 1/2 (*.f32 3 (pow.f32 x 3))) 3/2) (*.f32 (pow.f32 x 3) 1/3))
(-.f32 (/.f32 (*.f32 (*.f32 (pow.f32 x 3) 4) 2) 3/2) (/.f32 (+.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 3 (pow.f32 x 3))) 3/2))
(-.f32 (/.f32 (*.f32 -2/3 (*.f32 (pow.f32 x 3) 4)) -1) (*.f32 (pow.f32 x 3) 2))
(-.f32 (*.f32 (*.f32 (pow.f32 x 3) 2/3) -1/2) (neg.f32 (pow.f32 x 3)))
(-.f32 (*.f32 (-.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 (pow.f32 x 3) 0)) 2/3) (*.f32 (pow.f32 x 3) 2))
(-.f32 (*.f32 (*.f32 1/2 (*.f32 3 (pow.f32 x 3))) 2/3) (*.f32 (pow.f32 x 3) 1/3))
(-.f32 (*.f32 (*.f32 (*.f32 (pow.f32 x 3) 4) 2) 2/3) (*.f32 2/3 (+.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 3 (pow.f32 x 3)))))
(-.f32 (*.f32 (*.f32 (*.f32 (pow.f32 x 3) 8/3) -1) -1) (*.f32 (pow.f32 x 3) 2))
(-.f32 (*.f32 (*.f32 -2/3 (*.f32 (pow.f32 x 3) 4)) -1) (*.f32 (pow.f32 x 3) 2))
(-.f32 (*.f32 (*.f32 2 (*.f32 (pow.f32 x 3) -2)) -2/3) (*.f32 (pow.f32 x 3) 2))
(-.f32 (*.f32 (*.f32 (pow.f32 x 3) 10/3) 1/2) (pow.f32 x 3))
(-.f32 (*.f32 (*.f32 (pow.f32 x 3) 4/3) 1/3) (*.f32 1/3 (*.f32 (pow.f32 x 3) -2/3)))
(-.f32 (*.f32 (*.f32 3 (pow.f32 x 3)) 1/3) (*.f32 (pow.f32 x 3) 1/3))
(-.f32 (*.f32 (*.f32 (pow.f32 x 3) 8/3) 1/3) (*.f32 1/3 (*.f32 (pow.f32 x 3) 2/3)))
(-.f32 (*.f32 (*.f32 (pow.f32 x 3) 5) 1/3) (*.f32 1/3 (*.f32 3 (pow.f32 x 3))))
(-.f32 (*.f32 (*.f32 (*.f32 3 (pow.f32 x 3)) 2) 1/3) (*.f32 (pow.f32 x 3) 4/3))
(/.f32 (pow.f32 x 3) 3/2)
(/.f32 2/3 (/.f32 1 (pow.f32 x 3)))
(/.f32 (*.f32 (pow.f32 x 3) 2/3) 1)
(/.f32 1 (/.f32 3/2 (pow.f32 x 3)))
(/.f32 -1 (/.f32 -3/2 (pow.f32 x 3)))
(/.f32 -1 (/.f32 (-.f32 0 (/.f32 1 (pow.f32 x 3))) 2/3))
(/.f32 -1 (*.f32 (/.f32 1 (pow.f32 x 3)) -3/2))
(/.f32 -1 (*.f32 (/.f32 -1 (pow.f32 x 3)) 3/2))
(/.f32 -1 (*.f32 (-.f32 0 (/.f32 1 (pow.f32 x 3))) 3/2))
(/.f32 -1 (-.f32 0 (/.f32 3/2 (pow.f32 x 3))))
(/.f32 (neg.f32 (pow.f32 x 3)) -3/2)
(/.f32 (*.f32 (pow.f32 x 3) -2/3) -1)
(/.f32 -2/3 (/.f32 -1 (pow.f32 x 3)))
(/.f32 -2/3 (-.f32 0 (/.f32 1 (pow.f32 x 3))))
(/.f32 -2/3 (-.f32 (/.f32 1 (pow.f32 x 3)) (/.f32 2 (pow.f32 x 3))))
(/.f32 (*.f32 (pow.f32 x 3) 2) 3)
(/.f32 (*.f32 (pow.f32 x 3) 4/3) 2)
(/.f32 1/2 (/.f32 3/4 (pow.f32 x 3)))
(/.f32 1/3 (/.f32 1/2 (pow.f32 x 3)))
(/.f32 2 (/.f32 (/.f32 3/2 (pow.f32 x 3)) 1/2))
(/.f32 2 (/.f32 (/.f32 1 (pow.f32 x 3)) 1/3))
(/.f32 4/3 (/.f32 2 (pow.f32 x 3)))
(/.f32 (*.f32 (pow.f32 x 3) -2) -3)
(/.f32 (*.f32 (pow.f32 x 3) -4/3) -2)
(/.f32 -1/2 (/.f32 -3/4 (pow.f32 x 3)))
(/.f32 (*.f32 (pow.f32 x 3) 1/2) 3/4)
(/.f32 -1/3 (/.f32 -1/2 (pow.f32 x 3)))
(/.f32 -1/3 (-.f32 0 (/.f32 1/2 (pow.f32 x 3))))
(/.f32 1/4 (/.f32 3/8 (pow.f32 x 3)))
(/.f32 (*.f32 (pow.f32 x 3) 1/3) 1/2)
(/.f32 1/6 (/.f32 1/4 (pow.f32 x 3)))
(/.f32 (*.f32 (neg.f32 (pow.f32 x 3)) 1/2) -3/4)
(/.f32 (-.f32 (*.f32 3 (pow.f32 x 3)) (-.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 (pow.f32 x 3) 0))) -3/2)
(/.f32 (-.f32 (*.f32 (pow.f32 x 3) 1/2) (*.f32 1/2 (*.f32 3 (pow.f32 x 3)))) -3/2)
(/.f32 (-.f32 (+.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 3 (pow.f32 x 3))) (*.f32 (*.f32 (pow.f32 x 3) 4) 2)) -3/2)
(/.f32 (-.f32 (*.f32 (pow.f32 x 3) 2) (-.f32 (*.f32 (pow.f32 x 3) 8/3) (*.f32 (pow.f32 x 3) 0))) -1)
(/.f32 (-.f32 (/.f32 14/3 (/.f32 1 (pow.f32 x 3))) (*.f32 (*.f32 (pow.f32 x 3) 8/3) 2)) -1)
(neg.f32 (*.f32 (pow.f32 x 3) -2/3))
(+.f32 (pow.f32 x 3) 0)
(+.f32 (pow.f32 x 3) (*.f32 (pow.f32 x 3) 0))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 1/3))
(+.f32 0 (pow.f32 x 3))
(+.f32 (neg.f32 (pow.f32 x 3)) (*.f32 (pow.f32 x 3) 2))
(+.f32 (*.f32 (pow.f32 x 3) 2) (neg.f32 (pow.f32 x 3)))
(+.f32 (*.f32 (pow.f32 x 3) 4/3) (*.f32 1/2 (*.f32 (pow.f32 x 3) -2/3)))
(+.f32 (*.f32 (pow.f32 x 3) 0) (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) -2) (*.f32 3 (pow.f32 x 3)))
(+.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 (pow.f32 x 3) -3))
(+.f32 (*.f32 (pow.f32 x 3) 1/2) (*.f32 (pow.f32 x 3) 1/2))
(+.f32 (*.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 3) 2/3))
(+.f32 (*.f32 1/2 (*.f32 3 (pow.f32 x 3))) (*.f32 1/2 (neg.f32 (pow.f32 x 3))))
(+.f32 (*.f32 (pow.f32 x 3) -3) (*.f32 (pow.f32 x 3) 4))
(+.f32 (*.f32 (pow.f32 x 3) -1/2) (*.f32 -1/2 (*.f32 (pow.f32 x 3) -3)))
(-.f32 (pow.f32 x 3) 0)
(-.f32 (pow.f32 x 3) (*.f32 (pow.f32 x 3) 0))
(-.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 1/2 (*.f32 (pow.f32 x 3) -2/3)))
(-.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 (*.f32 (pow.f32 x 3) 2/3) (neg.f32 (pow.f32 x 3))))
(-.f32 0 (neg.f32 (pow.f32 x 3)))
(-.f32 (neg.f32 (pow.f32 x 3)) (*.f32 (pow.f32 x 3) -2))
(-.f32 (*.f32 (pow.f32 x 3) -2/3) (+.f32 (*.f32 (pow.f32 x 3) -2/3) (neg.f32 (pow.f32 x 3))))
(-.f32 (*.f32 (pow.f32 x 3) 2) (pow.f32 x 3))
(-.f32 (*.f32 (pow.f32 x 3) 2) (+.f32 (*.f32 3 (pow.f32 x 3)) (*.f32 (pow.f32 x 3) -2)))
(-.f32 (*.f32 (pow.f32 x 3) 4/3) (*.f32 (pow.f32 x 3) 1/3))
(-.f32 (*.f32 (pow.f32 x 3) 4/3) (+.f32 (*.f32 (pow.f32 x 3) -2/3) (pow.f32 x 3)))
(-.f32 (*.f32 (pow.f32 x 3) 0) (neg.f32 (pow.f32 x 3)))
(-.f32 (*.f32 (pow.f32 x 3) -2) (*.f32 (pow.f32 x 3) -3))
(-.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 3 (pow.f32 x 3)))
(-.f32 (*.f32 3 (pow.f32 x 3)) (*.f32 (pow.f32 x 3) 2))
(-.f32 (*.f32 (pow.f32 x 3) 1/2) (*.f32 -1/2 (pow.f32 x 3)))
(-.f32 (*.f32 (pow.f32 x 3) 1/2) (*.f32 1/2 (neg.f32 (pow.f32 x 3))))
(-.f32 (-.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 (pow.f32 x 3) 0)) (*.f32 3 (pow.f32 x 3)))
(-.f32 (*.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 3) -2/3))
(-.f32 (*.f32 1/2 (*.f32 3 (pow.f32 x 3))) (*.f32 (pow.f32 x 3) 1/2))
(-.f32 (*.f32 (pow.f32 x 3) -3) (*.f32 2 (*.f32 (pow.f32 x 3) -2)))
(-.f32 (*.f32 (pow.f32 x 3) -3) (*.f32 -1 (*.f32 (pow.f32 x 3) 4)))
(-.f32 (*.f32 (*.f32 (pow.f32 x 3) 4) 2) (+.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 3 (pow.f32 x 3))))
(-.f32 (*.f32 (neg.f32 (pow.f32 x 3)) 1/2) (*.f32 1/2 (*.f32 (pow.f32 x 3) -3)))
(-.f32 (*.f32 (pow.f32 x 3) -1/2) (*.f32 -1/2 (*.f32 3 (pow.f32 x 3))))
(-.f32 (-.f32 (pow.f32 x 3) (*.f32 (pow.f32 x 3) 4/3)) (*.f32 (pow.f32 x 3) -4/3))
(-.f32 (-.f32 (*.f32 (pow.f32 x 3) 2) (*.f32 (pow.f32 x 3) 1/2)) (*.f32 (pow.f32 x 3) 1/2))
(-.f32 (*.f32 (*.f32 2 (*.f32 (pow.f32 x 3) -2)) -1) (*.f32 3 (pow.f32 x 3)))
(-.f32 (*.f32 (*.f32 (pow.f32 x 3) 5) 1/2) (*.f32 1/2 (*.f32 3 (pow.f32 x 3))))
(-.f32 (*.f32 (*.f32 (*.f32 3 (pow.f32 x 3)) 2) 1/2) (*.f32 (pow.f32 x 3) 2))
(*.f32 (pow.f32 x 3) 1)
(*.f32 2/3 (*.f32 1/2 (*.f32 3 (pow.f32 x 3))))
(*.f32 (*.f32 (pow.f32 x 3) 2/3) 3/2)
(*.f32 1 (pow.f32 x 3))
(*.f32 -1 (neg.f32 (pow.f32 x 3)))
(*.f32 -1 (-.f32 (*.f32 3 (pow.f32 x 3)) (-.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 (pow.f32 x 3) 0))))
(*.f32 -1 (-.f32 (*.f32 (pow.f32 x 3) 1/2) (*.f32 1/2 (*.f32 3 (pow.f32 x 3)))))
(*.f32 -1 (-.f32 (+.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 3 (pow.f32 x 3))) (*.f32 (*.f32 (pow.f32 x 3) 4) 2)))
(*.f32 (neg.f32 (pow.f32 x 3)) -1)
(*.f32 (*.f32 (pow.f32 x 3) 2) 1/2)
(*.f32 (*.f32 (pow.f32 x 3) 4/3) 3/4)
(*.f32 1/2 (*.f32 (pow.f32 x 3) 2))
(*.f32 2 (*.f32 (pow.f32 x 3) 1/2))
(*.f32 4/3 (*.f32 1/2 (*.f32 1/2 (*.f32 3 (pow.f32 x 3)))))
(*.f32 (*.f32 (pow.f32 x 3) -2) -1/2)
(*.f32 (*.f32 (pow.f32 x 3) 4) 1/4)
(*.f32 -1/2 (*.f32 (pow.f32 x 3) -2))
(*.f32 -1/2 (-.f32 (*.f32 3 (pow.f32 x 3)) (*.f32 (pow.f32 x 3) 5)))
(*.f32 -1/2 (-.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 (*.f32 3 (pow.f32 x 3)) 2)))
(*.f32 (*.f32 (pow.f32 x 3) 1/2) 2)
(*.f32 -2 (-.f32 0 (*.f32 (pow.f32 x 3) 1/2)))
(*.f32 (*.f32 2 (*.f32 (pow.f32 x 3) -2)) -1/4)
(/.f32 (pow.f32 x 3) 1)
(/.f32 1 (/.f32 1 (pow.f32 x 3)))
(/.f32 -1 (/.f32 -1 (pow.f32 x 3)))
(/.f32 -1 (-.f32 0 (/.f32 1 (pow.f32 x 3))))
(/.f32 -1 (-.f32 (/.f32 1 (pow.f32 x 3)) (/.f32 2 (pow.f32 x 3))))
(/.f32 (neg.f32 (pow.f32 x 3)) -1)
(/.f32 (*.f32 (pow.f32 x 3) 2) 2)
(/.f32 1/2 (/.f32 1/2 (pow.f32 x 3)))
(/.f32 2 (/.f32 2 (pow.f32 x 3)))
(/.f32 (*.f32 (pow.f32 x 3) -2) -2)
(/.f32 -1/2 (/.f32 -1/2 (pow.f32 x 3)))
(/.f32 -1/2 (-.f32 0 (/.f32 1/2 (pow.f32 x 3))))
(/.f32 (*.f32 (pow.f32 x 3) 1/2) 1/2)
(/.f32 1/4 (/.f32 1/4 (pow.f32 x 3)))
(/.f32 (-.f32 (*.f32 3 (pow.f32 x 3)) (-.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 (pow.f32 x 3) 0))) -1)
(/.f32 (-.f32 (*.f32 (pow.f32 x 3) 1/2) (*.f32 1/2 (*.f32 3 (pow.f32 x 3)))) -1)
(/.f32 (-.f32 (+.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 3 (pow.f32 x 3))) (*.f32 (*.f32 (pow.f32 x 3) 4) 2)) -1)
(neg.f32 (neg.f32 (pow.f32 x 3)))
Outputs
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (pow.f32 x 3) (*.f32 1/2 (*.f32 (pow.f32 x 3) -2/3)))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) 0)
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 0))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 0 (*.f32 (pow.f32 x 3) 2/3))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) -2/3) (*.f32 (pow.f32 x 3) 4/3))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) 4/3) (*.f32 (pow.f32 x 3) -2/3))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) 0) (*.f32 (pow.f32 x 3) 2/3))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) -2) (*.f32 (pow.f32 x 3) 8/3))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) -4/3) (*.f32 (pow.f32 x 3) 2))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) 8/3) (*.f32 (pow.f32 x 3) -2))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) 8/3) (/.f32 (*.f32 (pow.f32 x 3) -3) 3/2))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 3) 1/3))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (*.f32 (pow.f32 x 3) 2/3) -1/2) (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (*.f32 (pow.f32 x 3) 4/3) 1/3) (*.f32 1/3 (*.f32 (pow.f32 x 3) 2/3)))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (*.f32 3 (pow.f32 x 3)) 1/3) (*.f32 1/3 (neg.f32 (pow.f32 x 3))))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (*.f32 (pow.f32 x 3) 8/3) 1/3) (*.f32 1/3 (*.f32 (pow.f32 x 3) -2/3)))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (*.f32 (pow.f32 x 3) 2/3) 1/3) (*.f32 1/3 (*.f32 (pow.f32 x 3) 4/3)))
(*.f32 2/3 (pow.f32 x 3))
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(/.f32 2 (/.f32 2 (pow.f32 x 3)))
(pow.f32 x 3)
(/.f32 (*.f32 (pow.f32 x 3) -2) -2)
(pow.f32 x 3)
(/.f32 -1/2 (/.f32 -1/2 (pow.f32 x 3)))
(pow.f32 x 3)
(/.f32 -1/2 (-.f32 0 (/.f32 1/2 (pow.f32 x 3))))
(pow.f32 x 3)
(/.f32 (*.f32 (pow.f32 x 3) 1/2) 1/2)
(pow.f32 x 3)
(/.f32 1/4 (/.f32 1/4 (pow.f32 x 3)))
(pow.f32 x 3)
(/.f32 (-.f32 (*.f32 3 (pow.f32 x 3)) (-.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 (pow.f32 x 3) 0))) -1)
(pow.f32 x 3)
(/.f32 (-.f32 (*.f32 (pow.f32 x 3) 1/2) (*.f32 1/2 (*.f32 3 (pow.f32 x 3)))) -1)
(pow.f32 x 3)
(/.f32 (-.f32 (+.f32 (*.f32 (pow.f32 x 3) 4) (*.f32 3 (pow.f32 x 3))) (*.f32 (*.f32 (pow.f32 x 3) 4) 2)) -1)
(pow.f32 x 3)
(neg.f32 (neg.f32 (pow.f32 x 3)))
(pow.f32 x 3)

eval727.0ms (11.9%)

Compiler

Compiled 24866 to 18646 computations (25% saved)

prune730.0ms (11.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New133921341
Fresh112
Picked011
Done415
Total134451349
Error
0b
Counts
1349 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(*.f32 1/2 (+.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 2 x)))
1.1b
(*.f32 1/2 (*.f32 2 x))
0.6b
(*.f32 1/2 (*.f32 -1/2 (-.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3))))
0.1b
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
0.3b
(*.f32 1/2 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1))))
Compiler

Compiled 64 to 54 computations (15.6% saved)

localize38.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1)))
0.0b
(-.f32 (/.f32 1 x) 1)
0.3b
(/.f32 2 (-.f32 (/.f32 1 x) 1))
Compiler

Compiled 38 to 32 computations (15.8% saved)

series1.0ms (0%)

Counts
3 → 27
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1)))
0.0ms
x
@0
(/.f32 2 (-.f32 (/.f32 1 x) 1))
0.0ms
x
@-inf
(log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1)))
0.0ms
x
@inf
(log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1)))
0.0ms
x
@-inf
(/.f32 2 (-.f32 (/.f32 1 x) 1))

rewrite74.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
2010×rational.json-1
2002×rational.json-2
2002×rational.json-3
832×rational.json-simplify-5
586×rational.json-simplify-13
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01055
16855
220855
385655
4631455
Stop Event
node limit
Counts
3 → 186
Calls
Call 1
Inputs
(/.f32 2 (-.f32 (/.f32 1 x) 1))
(-.f32 (/.f32 1 x) 1)
(log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 0 (+.f32 (/.f32 1/2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 (+.f32 -2 (/.f32 2 x))) (/.f32 2 (+.f32 -2 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))) (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 4 (+.f32 (/.f32 1/2 x) -1/2)) (-.f32 0 (/.f32 3 (+.f32 (/.f32 1/2 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 0 (+.f32 (/.f32 1/2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)) (+.f32 (/.f32 0 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 0 (+.f32 (/.f32 1/2 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 -1 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 -4 (/.f32 2 (+.f32 (/.f32 4 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))) (-.f32 0 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))) (/.f32 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))) (*.f32 -1 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 0 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 4 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 3 (+.f32 (/.f32 1/2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 3 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (/.f32 4 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 0 (+.f32 (/.f32 1/2 x) -1/2))) (/.f32 3 (+.f32 (/.f32 1/2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (/.f32 3 (+.f32 (/.f32 1/2 x) -1/2)) 1/2) (/.f32 2 (+.f32 -2 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 4 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 4 (+.f32 (/.f32 1/2 x) -1/2))) (+.f32 (/.f32 4 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 3 (+.f32 (/.f32 1/2 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 2 (+.f32 -2 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (/.f32 1 (+.f32 1 (/.f32 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (-.f32 0 (/.f32 2 (+.f32 -2 (/.f32 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (/.f32 1/2 (-.f32 1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 2 (+.f32 (/.f32 4 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (+.f32 (/.f32 4 x) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (+.f32 -2 (/.f32 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (+.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))) (/.f32 1 (-.f32 1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (*.f32 4 (/.f32 1 (+.f32 1 (/.f32 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (-.f32 0 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (-.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 3 (+.f32 (/.f32 1/2 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -4 (/.f32 1 (+.f32 2 (/.f32 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -4 (neg.f32 (/.f32 2 (+.f32 (/.f32 4 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -4 (*.f32 1 (neg.f32 (/.f32 2 (+.f32 (/.f32 4 x) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 2 (/.f32 -2 x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 (/.f32 4 x) -4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 1 (/.f32 -1 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (/.f32 2 (+.f32 (/.f32 4 x) -4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (/.f32 1 (+.f32 (/.f32 4 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (-.f32 (/.f32 2 (+.f32 (/.f32 4 x) -4)) (/.f32 1 (+.f32 (/.f32 4 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))) (/.f32 1 (-.f32 1/2 (/.f32 1/2 x)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -8 (/.f32 1/2 (+.f32 2 (/.f32 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (-.f32 (+.f32 -2 (/.f32 2 x)) (+.f32 1 (/.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (/.f32 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (/.f32 1 x) (-.f32 2 (/.f32 0 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (/.f32 3 x) (+.f32 2 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (+.f32 -2 (/.f32 2 x)) (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 x) (+.f32 -1 (/.f32 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 x) (-.f32 -1 (-.f32 (+.f32 -1 (/.f32 0 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 x) (+.f32 (+.f32 -2 (/.f32 2 x)) (-.f32 1 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 x) (-.f32 1 (-.f32 2 (/.f32 0 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 x) (/.f32 (-.f32 -2 (/.f32 0 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 1 x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 1 x) -1) (-.f32 (+.f32 -1 (/.f32 0 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 1 x) -1) (/.f32 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 1 x) -1) (/.f32 (-.f32 (+.f32 -1 (/.f32 0 x)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 (/.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (+.f32 1 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (/.f32 -1 x)) (+.f32 -2 (/.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 x) (+.f32 -1 (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 x) (+.f32 (+.f32 -1 (/.f32 0 x)) (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 x) (-.f32 (+.f32 1 (/.f32 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 x) (-.f32 (+.f32 -1 (/.f32 -1 x)) (-.f32 (+.f32 -1 (/.f32 0 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 x) (-.f32 (+.f32 1 (/.f32 -1 x)) (-.f32 2 (/.f32 0 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 x) (-.f32 (-.f32 -2 (/.f32 0 x)) (+.f32 (/.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 x) (*.f32 1/2 (-.f32 0 (+.f32 2 (/.f32 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 x) (/.f32 (-.f32 0 (+.f32 2 (/.f32 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (/.f32 1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (/.f32 1 x)) (-.f32 -2 (/.f32 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (/.f32 1 x)) (+.f32 (+.f32 -2 (/.f32 2 x)) (/.f32 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/2 x) (/.f32 (+.f32 (/.f32 1 x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/2 x) (*.f32 1/2 (+.f32 (/.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 4 (-.f32 (+.f32 -2 (/.f32 2 x)) (+.f32 (/.f32 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 (+.f32 (/.f32 2 x) -1) (+.f32 (/.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 (/.f32 1 x) (-.f32 (+.f32 -1 (/.f32 0 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 (+.f32 -2 (/.f32 2 x)) (+.f32 (/.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 1/2 x) -1/2) (+.f32 (/.f32 1/2 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 -1 (/.f32 0 x)) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 -1 (/.f32 0 x)) (-.f32 (/.f32 1 x) (-.f32 (+.f32 -1 (/.f32 0 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1 x) (-.f32 (+.f32 -2 (/.f32 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1 x) (*.f32 -1 (-.f32 1 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1 x) (/.f32 (-.f32 1 (/.f32 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1/2 (/.f32 (+.f32 (/.f32 2 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1/2 (*.f32 1/2 (+.f32 (/.f32 2 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 -2 (/.f32 2 x)) (+.f32 1 (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 4 x) (-.f32 -1 (/.f32 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 4 x) (+.f32 0 (-.f32 -1 (/.f32 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 4 x) (-.f32 (-.f32 -1 (/.f32 3 x)) (-.f32 (+.f32 -1 (/.f32 0 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 4 x) (-.f32 (-.f32 0 (+.f32 2 (/.f32 2 x))) (+.f32 (/.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 4 x) (-.f32 (/.f32 4 x) (+.f32 1 (+.f32 (/.f32 4 x) (/.f32 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 4 x) (-.f32 (+.f32 -1 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simplify88.0ms (1.4%)

Algorithm
egg-herbie
Rules
1006×rational.json-simplify-23
1000×rational.json-simplify-1
912×rational.json-simplify-19
878×rational.json-simplify-15
626×rational.json-simplify-16
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03876219
112994451
248674427
Stop Event
node limit
Counts
213 → 283
Calls
Call 1
Inputs
(*.f32 2 x)
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(/.f32 1 x)
-1
-1
(*.f32 2 x)
(+.f32 (*.f32 2 x) (*.f32 2/3 (pow.f32 x 3)))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 2/7 (pow.f32 x 7)) (+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)) 0)
(+.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 0 (+.f32 (/.f32 1/2 x) -1/2)))
(+.f32 0 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(+.f32 (/.f32 2 (+.f32 -2 (/.f32 2 x))) (/.f32 2 (+.f32 -2 (/.f32 2 x))))
(+.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))) (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2)))
(+.f32 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))))
(+.f32 (/.f32 0 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(+.f32 (/.f32 4 (+.f32 (/.f32 1/2 x) -1/2)) (-.f32 0 (/.f32 3 (+.f32 (/.f32 1/2 x) -1/2))))
(-.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)) 0)
(-.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 0 (+.f32 (/.f32 1/2 x) -1/2)))
(-.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)) (+.f32 (/.f32 0 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 0 (+.f32 (/.f32 1/2 x) -1/2))))
(-.f32 0 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))))
(-.f32 0 (*.f32 -1 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))
(-.f32 0 (*.f32 -4 (/.f32 2 (+.f32 (/.f32 4 x) -4))))
(-.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))) (-.f32 0 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2))))
(-.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))) (/.f32 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2)) -1))
(-.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))) (*.f32 -1 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2))))
(-.f32 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(-.f32 (/.f32 0 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))))
(-.f32 (/.f32 4 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 3 (+.f32 (/.f32 1/2 x) -1/2)))
(-.f32 (/.f32 3 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2)))
(-.f32 (-.f32 (/.f32 4 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 0 (+.f32 (/.f32 1/2 x) -1/2))) (/.f32 3 (+.f32 (/.f32 1/2 x) -1/2)))
(-.f32 (*.f32 (/.f32 3 (+.f32 (/.f32 1/2 x) -1/2)) 1/2) (/.f32 2 (+.f32 -2 (/.f32 2 x))))
(-.f32 (+.f32 (/.f32 4 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 4 (+.f32 (/.f32 1/2 x) -1/2))) (+.f32 (/.f32 4 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 3 (+.f32 (/.f32 1/2 x) -1/2))))
(*.f32 2 (/.f32 2 (+.f32 -2 (/.f32 2 x))))
(*.f32 1 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(*.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)) 1)
(*.f32 -2 (/.f32 1 (+.f32 1 (/.f32 -1 x))))
(*.f32 -2 (-.f32 0 (/.f32 2 (+.f32 -2 (/.f32 2 x)))))
(*.f32 -2 (/.f32 1/2 (-.f32 1/2 (/.f32 1/2 x))))
(*.f32 1/2 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2)))
(*.f32 4 (/.f32 2 (+.f32 (/.f32 4 x) -4)))
(*.f32 (/.f32 2 (+.f32 (/.f32 4 x) -4)) 4)
(*.f32 -1 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))))
(*.f32 (/.f32 2 (+.f32 -2 (/.f32 2 x))) 2)
(*.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))) -1)
(*.f32 -1/2 (+.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))) (/.f32 1 (-.f32 1/2 (/.f32 1/2 x)))))
(*.f32 -1/2 (*.f32 4 (/.f32 1 (+.f32 1 (/.f32 -1 x)))))
(*.f32 -1/2 (-.f32 0 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2))))
(*.f32 -1/2 (-.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)) (/.f32 3 (+.f32 (/.f32 1/2 x) -1/2))))
(*.f32 (/.f32 2 (+.f32 (/.f32 1/2 x) -1/2)) 1/2)
(*.f32 -4 (/.f32 1 (+.f32 2 (/.f32 -2 x))))
(*.f32 -4 (neg.f32 (/.f32 2 (+.f32 (/.f32 4 x) -4))))
(*.f32 -4 (*.f32 1 (neg.f32 (/.f32 2 (+.f32 (/.f32 4 x) -4)))))
(*.f32 (/.f32 1 (+.f32 2 (/.f32 -2 x))) -4)
(*.f32 (/.f32 1 (+.f32 (/.f32 4 x) -4)) 8)
(*.f32 (/.f32 1 (+.f32 1 (/.f32 -1 x))) -2)
(*.f32 (neg.f32 (/.f32 2 (+.f32 (/.f32 4 x) -4))) -4)
(*.f32 8 (/.f32 1 (+.f32 (/.f32 4 x) -4)))
(*.f32 8 (-.f32 (/.f32 2 (+.f32 (/.f32 4 x) -4)) (/.f32 1 (+.f32 (/.f32 4 x) -4))))
(*.f32 (+.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))) (/.f32 1 (-.f32 1/2 (/.f32 1/2 x)))) -1/2)
(*.f32 -8 (/.f32 1/2 (+.f32 2 (/.f32 -2 x))))
(neg.f32 (/.f32 1 (-.f32 1/2 (/.f32 1/2 x))))
(+.f32 2 (-.f32 (+.f32 -2 (/.f32 2 x)) (+.f32 1 (/.f32 1 x))))
(+.f32 1 (+.f32 (/.f32 1 x) -2))
(+.f32 1 (-.f32 (/.f32 1 x) (-.f32 2 (/.f32 0 x))))
(+.f32 1 (-.f32 (/.f32 3 x) (+.f32 2 (/.f32 2 x))))
(+.f32 1 (+.f32 (+.f32 -2 (/.f32 2 x)) (/.f32 -1 x)))
(+.f32 (/.f32 1 x) -1)
(+.f32 (/.f32 1 x) (+.f32 -1 (/.f32 0 x)))
(+.f32 (/.f32 1 x) (-.f32 -1 (-.f32 (+.f32 -1 (/.f32 0 x)) -1)))
(+.f32 (/.f32 1 x) (+.f32 (+.f32 -2 (/.f32 2 x)) (-.f32 1 (/.f32 2 x))))
(+.f32 (/.f32 1 x) (-.f32 1 (-.f32 2 (/.f32 0 x))))
(+.f32 (/.f32 1 x) (/.f32 (-.f32 -2 (/.f32 0 x)) 2))
(+.f32 (+.f32 (/.f32 1 x) -1) 0)
(+.f32 (+.f32 (/.f32 1 x) -1) (-.f32 (+.f32 -1 (/.f32 0 x)) -1))
(+.f32 (+.f32 (/.f32 1 x) -1) (/.f32 0 x))
(+.f32 (+.f32 (/.f32 1 x) -1) (/.f32 (-.f32 (+.f32 -1 (/.f32 0 x)) -1) 2))
(+.f32 0 (+.f32 (/.f32 1 x) -1))
(+.f32 -2 (+.f32 1 (/.f32 1 x)))
(+.f32 (+.f32 1 (/.f32 -1 x)) (+.f32 -2 (/.f32 2 x)))
(+.f32 (/.f32 2 x) (+.f32 -1 (/.f32 -1 x)))
(+.f32 (/.f32 2 x) (+.f32 (+.f32 -1 (/.f32 0 x)) (/.f32 -1 x)))
(+.f32 (/.f32 2 x) (-.f32 (+.f32 1 (/.f32 -1 x)) 2))
(+.f32 (/.f32 2 x) (-.f32 (+.f32 -1 (/.f32 -1 x)) (-.f32 (+.f32 -1 (/.f32 0 x)) -1)))
(+.f32 (/.f32 2 x) (-.f32 (+.f32 1 (/.f32 -1 x)) (-.f32 2 (/.f32 0 x))))
(+.f32 (/.f32 2 x) (-.f32 (-.f32 -2 (/.f32 0 x)) (+.f32 (/.f32 1 x) -1)))
(+.f32 (/.f32 2 x) (*.f32 1/2 (-.f32 0 (+.f32 2 (/.f32 2 x)))))
(+.f32 (/.f32 2 x) (/.f32 (-.f32 0 (+.f32 2 (/.f32 2 x))) 2))
(+.f32 (+.f32 1 (/.f32 1 x)) -2)
(+.f32 (+.f32 1 (/.f32 1 x)) (-.f32 -2 (/.f32 0 x)))
(+.f32 (+.f32 1 (/.f32 1 x)) (+.f32 (+.f32 -2 (/.f32 2 x)) (/.f32 -2 x)))
(+.f32 (/.f32 1/2 x) (/.f32 (+.f32 (/.f32 1 x) -2) 2))
(+.f32 (/.f32 1/2 x) (*.f32 1/2 (+.f32 (/.f32 1 x) -2)))
(+.f32 4 (-.f32 (+.f32 -2 (/.f32 2 x)) (+.f32 (/.f32 1 x) 3)))
(+.f32 -1 (/.f32 1 x))
(+.f32 -1 (-.f32 (+.f32 (/.f32 2 x) -1) (+.f32 (/.f32 1 x) -1)))
(+.f32 -1 (-.f32 (/.f32 1 x) (-.f32 (+.f32 -1 (/.f32 0 x)) -1)))
(+.f32 -1 (-.f32 (+.f32 -2 (/.f32 2 x)) (+.f32 (/.f32 1 x) -2)))
(+.f32 (+.f32 (/.f32 1/2 x) -1/2) (+.f32 (/.f32 1/2 x) -1/2))
(+.f32 (+.f32 -1 (/.f32 0 x)) (/.f32 1 x))
(+.f32 (+.f32 -1 (/.f32 0 x)) (-.f32 (/.f32 1 x) (-.f32 (+.f32 -1 (/.f32 0 x)) -1)))
(+.f32 (/.f32 -1 x) (-.f32 (+.f32 -2 (/.f32 2 x)) -1))
(+.f32 (/.f32 -1 x) (*.f32 -1 (-.f32 1 (/.f32 2 x))))
(+.f32 (/.f32 -1 x) (/.f32 (-.f32 1 (/.f32 2 x)) -1))
(+.f32 -1/2 (/.f32 (+.f32 (/.f32 2 x) -1) 2))
(+.f32 -1/2 (*.f32 1/2 (+.f32 (/.f32 2 x) -1)))
(+.f32 (+.f32 -2 (/.f32 2 x)) (+.f32 1 (/.f32 -1 x)))
(+.f32 (/.f32 4 x) (-.f32 -1 (/.f32 3 x)))
(+.f32 (/.f32 4 x) (+.f32 0 (-.f32 -1 (/.f32 3 x))))
(+.f32 (/.f32 4 x) (-.f32 (-.f32 -1 (/.f32 3 x)) (-.f32 (+.f32 -1 (/.f32 0 x)) -1)))
(+.f32 (/.f32 4 x) (-.f32 (-.f32 0 (+.f32 2 (/.f32 2 x))) (+.f32 (/.f32 1 x) -1)))
(+.f32 (/.f32 4 x) (-.f32 (/.f32 4 x) (+.f32 1 (+.f32 (/.f32 4 x) (/.f32 3 x)))))
(+.f32 (/.f32 4 x) (-.f32 (+.f32 -1 (/.f32 0 x)) (/.f32 3 x)))
(+.f32 (/.f32 4 x) (*.f32 1 (-.f32 -1 (/.f32 3 x))))
(+.f32 (+.f32 1 (/.f32 3 x)) (-.f32 0 (+.f32 2 (/.f32 2 x))))
(+.f32 (+.f32 1 (/.f32 3 x)) (-.f32 (+.f32 -2 (/.f32 2 x)) (/.f32 4 x)))
(+.f32 (+.f32 2 (/.f32 -2 x)) (*.f32 (+.f32 -2 (/.f32 2 x)) 3/2))
(+.f32 (-.f32 (+.f32 -1 (/.f32 0 x)) -1) (+.f32 (/.f32 1 x) -1))
(+.f32 (+.f32 2 (/.f32 2 x)) (-.f32 (+.f32 -2 (/.f32 2 x)) (+.f32 1 (/.f32 3 x))))
(+.f32 (+.f32 -1 (/.f32 -1 x)) (/.f32 2 x))
(+.f32 (+.f32 (/.f32 2 x) -1) (/.f32 -1 x))
(+.f32 (+.f32 (/.f32 4 x) -4) (-.f32 0 (*.f32 (+.f32 -2 (/.f32 2 x)) 3/2)))
(+.f32 (-.f32 -1 (/.f32 3 x)) (/.f32 4 x))
(+.f32 (/.f32 8 x) (-.f32 0 (+.f32 1 (+.f32 (/.f32 4 x) (/.f32 3 x)))))
(*.f32 2 (+.f32 (/.f32 1/2 x) -1/2))
(*.f32 1 (+.f32 (/.f32 1 x) -1))
(*.f32 (+.f32 (/.f32 1 x) -1) 1)
(*.f32 (+.f32 1 (/.f32 -1 x)) -1)
(*.f32 1/2 (+.f32 -2 (/.f32 2 x)))
(*.f32 -1 (+.f32 1 (/.f32 -1 x)))
(*.f32 -1/2 (+.f32 2 (/.f32 -2 x)))
(*.f32 -1/2 (-.f32 (+.f32 1 (/.f32 1 x)) (+.f32 (/.f32 4 x) (+.f32 -1 (/.f32 -1 x)))))
(*.f32 -1/2 (-.f32 (+.f32 (/.f32 1 x) -1) (*.f32 (+.f32 -2 (/.f32 2 x)) 3/2)))
(*.f32 -1/2 (-.f32 (+.f32 1 (/.f32 3 x)) (+.f32 (+.f32 (/.f32 1 x) -1) (/.f32 4 x))))
(*.f32 -1/2 (-.f32 1 (+.f32 (/.f32 2 x) -1)))
(*.f32 (+.f32 -2 (/.f32 2 x)) 1/2)
(*.f32 (+.f32 2 (/.f32 -2 x)) -1/2)
(*.f32 (+.f32 (/.f32 4 x) -4) 1/4)
(/.f32 1 (/.f32 2 (+.f32 -2 (/.f32 2 x))))
(/.f32 (+.f32 (/.f32 1 x) -1) 1)
(/.f32 (+.f32 1 (/.f32 -1 x)) -1)
(/.f32 1/2 (/.f32 2 (+.f32 (/.f32 4 x) -4)))
(/.f32 -1 (/.f32 1 (+.f32 1 (/.f32 -1 x))))
(/.f32 -1 (-.f32 0 (/.f32 2 (+.f32 -2 (/.f32 2 x)))))
(/.f32 (+.f32 (/.f32 1/2 x) -1/2) 1/2)
(/.f32 (+.f32 -2 (/.f32 2 x)) 2)
(/.f32 (+.f32 2 (/.f32 -2 x)) -2)
(/.f32 (-.f32 1/2 (/.f32 1/2 x)) -1/2)
(/.f32 (/.f32 (+.f32 2 (/.f32 -2 x)) 2) -1)
(/.f32 (-.f32 (+.f32 1 (/.f32 1 x)) (+.f32 (/.f32 4 x) (+.f32 -1 (/.f32 -1 x)))) -2)
(/.f32 (-.f32 (+.f32 (/.f32 1 x) -1) (*.f32 (+.f32 -2 (/.f32 2 x)) 3/2)) -2)
(/.f32 (-.f32 (+.f32 1 (/.f32 3 x)) (+.f32 (+.f32 (/.f32 1 x) -1) (/.f32 4 x))) -2)
(/.f32 (-.f32 1 (+.f32 (/.f32 2 x) -1)) -2)
(neg.f32 (+.f32 1 (/.f32 -1 x)))
(+.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0)
(+.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0))
(+.f32 0 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))
(+.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(+.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(+.f32 (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0) (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))
(+.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) 2) (-.f32 0 (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 3)))
(+.f32 (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 1/2) (*.f32 1/2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(-.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0)
(-.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0))
(-.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) (+.f32 (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0)))
(-.f32 0 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(-.f32 0 (*.f32 -1 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(-.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (-.f32 0 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))
(-.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (/.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) -1))
(-.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (*.f32 -1 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))
(-.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))
(-.f32 (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0) (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(-.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) 2) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 3))
(-.f32 (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 3) (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(-.f32 (-.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) 2) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0)) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 3))
(-.f32 (*.f32 (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 3) 1/2) (*.f32 1/2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(-.f32 (+.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) 2) (*.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) 2)) (+.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) 2) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 3)))
(*.f32 2 (/.f32 1/2 (/.f32 1 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))
(*.f32 1 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))
(*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 1)
(*.f32 1/2 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(*.f32 -1 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(*.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) -1)
(*.f32 -1/2 (-.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(*.f32 -1/2 (-.f32 0 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))
(*.f32 -1/2 (-.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 3)))
(*.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) 1/2)
(*.f32 (-.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) -1/2)
(/.f32 1 (/.f32 1 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(/.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 1)
(/.f32 1/2 (/.f32 1 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))
(/.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))
(/.f32 -1 (/.f32 1 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))
(/.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) -1)
(neg.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
Outputs
(*.f32 2 x)
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 2))))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 (+.f32 x (pow.f32 x 3))))
(+.f32 (*.f32 2 (+.f32 x (pow.f32 x 2))) (*.f32 2 (pow.f32 x 3)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 4)))))
(+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 4)))))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 (+.f32 x (pow.f32 x 4)))))
(+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 (+.f32 x (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (/.f32 2 x)))
(+.f32 -2 (/.f32 -2 x))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 x 2)) (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 3))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 x 3)) (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 x)))))
(neg.f32 (+.f32 (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 (pow.f32 x 3))) (+.f32 2 (/.f32 2 x))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (/.f32 2 x)))
(+.f32 -2 (/.f32 -2 x))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 x 2)) (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 3))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 (pow.f32 x 3)) (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 x)))))
(neg.f32 (+.f32 (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 (pow.f32 x 3))) (+.f32 2 (/.f32 2 x))))
(/.f32 1 x)
-1
-1
(*.f32 2 x)
(+.f32 (*.f32 2 x) (*.f32 2/3 (pow.f32 x 3)))
(+.f32 (*.f32 2 x) (*.f32 (pow.f32 x 3) 2/3))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 (*.f32 2 x) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 2/7 (pow.f32 x 7)) (+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5)))))
(+.f32 (+.f32 (*.f32 2 x) (+.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 2/5 (pow.f32 x 5)))) (*.f32 2/7 (pow.f32 x 7)))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 (*.f32 2/7 (pow.f32 x 7)) (*.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (log.f32 -1) (/.f32 2 x))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (/.f32 2 x)))
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(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(+.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(+.f32 0 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(+.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(+.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(+.f32 (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0) (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(+.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) 2) (-.f32 0 (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 3)))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(+.f32 (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 1/2) (*.f32 1/2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0)
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) (+.f32 (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0)))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 0 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 0 (*.f32 -1 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (-.f32 0 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (/.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) -1))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (*.f32 -1 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0) (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) 2) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 3))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 3) (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 (-.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) 2) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 0)) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 3))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 (*.f32 (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 3) 1/2) (*.f32 1/2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(-.f32 (+.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) 2) (*.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) 2)) (+.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) 2) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 3)))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(*.f32 2 (/.f32 1/2 (/.f32 1 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(*.f32 1 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 1)
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(*.f32 1/2 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(*.f32 -1 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(*.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) -1)
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(*.f32 -1/2 (-.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(*.f32 -1/2 (-.f32 0 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(*.f32 -1/2 (-.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) (*.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 3)))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(*.f32 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) 1/2)
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(*.f32 (-.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) -1/2)
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(/.f32 1 (/.f32 1 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(/.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))) 1)
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(/.f32 1/2 (/.f32 1 (*.f32 2 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(/.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(/.f32 -1 (/.f32 1 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(/.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))) -1)
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
(neg.f32 (neg.f32 (log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))))
(log1p.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) -1/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))

localize87.0ms (1.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))
0.1b
(*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3)
0.1b
(/.f32 (*.f32 x -2) (+.f32 x -1))
0.7b
(-.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3))
Compiler

Compiled 101 to 80 computations (20.8% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3))
0.0ms
x
@inf
(-.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3))
0.0ms
x
@-inf
(-.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3))
0.0ms
x
@inf
(*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3)
0.0ms
x
@0
(*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3)

rewrite80.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1156×rational.json-simplify-5
940×rational.json-simplify-13
782×rational.json-simplify-9
664×rational.json-simplify-1
658×rational.json-simplify-11
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013128
180128
2256100
31279100
Stop Event
node limit
Counts
4 → 272
Calls
Call 1
Inputs
(-.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3))
(/.f32 (*.f32 x -2) (+.f32 x -1))
(*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3)
(log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))
Outputs
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simplify124.0ms (2%)

Algorithm
egg-herbie
Rules
1760×rational.json-simplify-51
672×rational.json-simplify-11
626×rational.json-simplify-3
570×rational.json-simplify-41
536×rational.json-simplify-13
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05689070
118307884
276287884
Stop Event
node limit
Counts
320 → 363
Calls
Call 1
Inputs
(*.f32 -4 x)
(+.f32 (*.f32 -4 x) (*.f32 -4/3 (pow.f32 x 3)))
(+.f32 (*.f32 -4 x) (+.f32 (*.f32 -4/3 (pow.f32 x 3)) (*.f32 -4/5 (pow.f32 x 5))))
(+.f32 (*.f32 -4/7 (pow.f32 x 7)) (+.f32 (*.f32 -4 x) (+.f32 (*.f32 -4/3 (pow.f32 x 3)) (*.f32 -4/5 (pow.f32 x 5)))))
(-.f32 (log.f32 -1) (*.f32 3 (log.f32 -1)))
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(-.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 0)
(-.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (+.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 3) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) -3)))
(-.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (-.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))))
(-.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (+.f32 (neg.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))) (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))))
(-.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (+.f32 (-.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))) (-.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))))))
(-.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 3) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 2))
(-.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 3) (+.f32 (+.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 3) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) -3)) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 2)))
(-.f32 (*.f32 -2 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) -3))
(-.f32 (*.f32 -2 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))) (-.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 4)))
(-.f32 0 (neg.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))))
(-.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 2) (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))))
(-.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 4) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 3))
(-.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 4) (+.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 2)))
(-.f32 (-.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 4)) (*.f32 4 (neg.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))))))
(-.f32 (neg.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))) (*.f32 -2 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))))
(-.f32 (*.f32 4 (neg.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))))) (-.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 6)))
(-.f32 (+.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 2) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 4)) (+.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 4)))
(-.f32 (+.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 3) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) -3)) (neg.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))))
(-.f32 (-.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))) (neg.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))))
(-.f32 (+.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 2)) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 2))
(-.f32 (+.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 4)) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 4))
(-.f32 (-.f32 (+.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 4) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 4)) (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))) (+.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 2) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 4)))
(-.f32 (-.f32 (+.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 6) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 6)) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 2)) (+.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 3) (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 6)))
(*.f32 -1 (neg.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))))
(*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 1)
(*.f32 (*.f32 -2 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))) -1/2)
(*.f32 1 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))))
(*.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 2) 1/2)
(*.f32 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 4) 1/4)
(*.f32 1/2 (*.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 2))
(*.f32 (neg.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))) -1)
(*.f32 -1/2 (*.f32 -2 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))))
(/.f32 -1 (/.f32 1 (neg.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))))))
(/.f32 -1 (-.f32 0 (/.f32 1 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))))))
(/.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 1)
(/.f32 1 (/.f32 1 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))))
(/.f32 1/2 (/.f32 1/2 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))))
(/.f32 (neg.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))) -1)
(/.f32 (*.f32 (*.f32 -2 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))) 1/2) -1)
(neg.f32 (neg.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))))
Outputs
(*.f32 -4 x)
(+.f32 (*.f32 -4 x) (*.f32 -4/3 (pow.f32 x 3)))
(+.f32 (*.f32 -4/3 (pow.f32 x 3)) (*.f32 -4 x))
(+.f32 (*.f32 -4 x) (+.f32 (*.f32 -4/3 (pow.f32 x 3)) (*.f32 -4/5 (pow.f32 x 5))))
(+.f32 (*.f32 -4/3 (pow.f32 x 3)) (+.f32 (*.f32 -4 x) (*.f32 -4/5 (pow.f32 x 5))))
(+.f32 (*.f32 -4/5 (pow.f32 x 5)) (+.f32 (*.f32 -4/3 (pow.f32 x 3)) (*.f32 -4 x)))
(+.f32 (*.f32 -4/7 (pow.f32 x 7)) (+.f32 (*.f32 -4 x) (+.f32 (*.f32 -4/3 (pow.f32 x 3)) (*.f32 -4/5 (pow.f32 x 5)))))
(+.f32 (+.f32 (*.f32 -4/3 (pow.f32 x 3)) (+.f32 (*.f32 -4 x) (*.f32 -4/5 (pow.f32 x 5)))) (*.f32 -4/7 (pow.f32 x 7)))
(+.f32 (+.f32 (*.f32 -4/5 (pow.f32 x 5)) (+.f32 (*.f32 -4/3 (pow.f32 x 3)) (*.f32 -4 x))) (*.f32 -4/7 (pow.f32 x 7)))
(-.f32 (log.f32 -1) (*.f32 3 (log.f32 -1)))
(-.f32 (log.f32 -1) (+.f32 (*.f32 4 (/.f32 1 x)) (*.f32 3 (log.f32 -1))))
(-.f32 (log.f32 -1) (+.f32 (*.f32 3 (log.f32 -1)) (/.f32 4 x)))
(-.f32 (log.f32 -1) (+.f32 (*.f32 4/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 3 (log.f32 -1)) (*.f32 4 (/.f32 1 x)))))
(-.f32 (log.f32 -1) (+.f32 (*.f32 3 (log.f32 -1)) (+.f32 (/.f32 4/3 (pow.f32 x 3)) (/.f32 4 x))))
(-.f32 (log.f32 -1) (+.f32 (*.f32 3 (log.f32 -1)) (+.f32 (/.f32 4 x) (/.f32 4/3 (pow.f32 x 3)))))
(-.f32 (log.f32 -1) (+.f32 (*.f32 4/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 4/5 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 3 (log.f32 -1)) (*.f32 4 (/.f32 1 x))))))
(-.f32 (log.f32 -1) (+.f32 (/.f32 4/3 (pow.f32 x 3)) (+.f32 (*.f32 3 (log.f32 -1)) (+.f32 (/.f32 4/5 (pow.f32 x 5)) (/.f32 4 x)))))
(-.f32 (log.f32 -1) (+.f32 (*.f32 3 (log.f32 -1)) (+.f32 (/.f32 4/5 (pow.f32 x 5)) (+.f32 (/.f32 4 x) (/.f32 4/3 (pow.f32 x 3))))))
(-.f32 (log.f32 -1) (*.f32 3 (log.f32 -1)))
(-.f32 (log.f32 -1) (+.f32 (*.f32 4 (/.f32 1 x)) (*.f32 3 (log.f32 -1))))
(-.f32 (log.f32 -1) (+.f32 (*.f32 3 (log.f32 -1)) (/.f32 4 x)))
(-.f32 (log.f32 -1) (+.f32 (*.f32 4/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 3 (log.f32 -1)) (*.f32 4 (/.f32 1 x)))))
(-.f32 (log.f32 -1) (+.f32 (*.f32 3 (log.f32 -1)) (+.f32 (/.f32 4/3 (pow.f32 x 3)) (/.f32 4 x))))
(-.f32 (log.f32 -1) (+.f32 (*.f32 3 (log.f32 -1)) (+.f32 (/.f32 4 x) (/.f32 4/3 (pow.f32 x 3)))))
(-.f32 (log.f32 -1) (+.f32 (*.f32 4/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 4/5 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 3 (log.f32 -1)) (*.f32 4 (/.f32 1 x))))))
(-.f32 (log.f32 -1) (+.f32 (/.f32 4/3 (pow.f32 x 3)) (+.f32 (*.f32 3 (log.f32 -1)) (+.f32 (/.f32 4/5 (pow.f32 x 5)) (/.f32 4 x)))))
(-.f32 (log.f32 -1) (+.f32 (*.f32 3 (log.f32 -1)) (+.f32 (/.f32 4/5 (pow.f32 x 5)) (+.f32 (/.f32 4 x) (/.f32 4/3 (pow.f32 x 3))))))
(*.f32 2 x)
(*.f32 x 2)
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 x))
(+.f32 (*.f32 x 2) (*.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 x 2) (*.f32 (pow.f32 x 3) 2)))
(+.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 2 (+.f32 x (pow.f32 x 3))))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 2 x) (*.f32 2 (pow.f32 x 4)))))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 x 2) (+.f32 (*.f32 (pow.f32 x 3) 2) (*.f32 2 (pow.f32 x 4)))))
(+.f32 (*.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 x 2) (*.f32 2 (+.f32 (pow.f32 x 3) (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (/.f32 2 x)))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 (/.f32 2 x) (+.f32 2 (/.f32 2 (pow.f32 x 2)))))
(neg.f32 (+.f32 (/.f32 2 (pow.f32 x 2)) (+.f32 2 (/.f32 2 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 (pow.f32 x 3))))))
(neg.f32 (+.f32 (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 (pow.f32 x 3))) (+.f32 2 (/.f32 2 x))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (/.f32 2 x)))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 (/.f32 2 x) (+.f32 2 (/.f32 2 (pow.f32 x 2)))))
(neg.f32 (+.f32 (/.f32 2 (pow.f32 x 2)) (+.f32 2 (/.f32 2 x))))
(neg.f32 (+.f32 2 (+.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 (pow.f32 x 3))))))
(neg.f32 (+.f32 (+.f32 (/.f32 2 (pow.f32 x 2)) (/.f32 2 (pow.f32 x 3))) (+.f32 2 (/.f32 2 x))))
(*.f32 6 x)
(*.f32 x 6)
(+.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 6 x))
(+.f32 (*.f32 (pow.f32 x 3) 2) (*.f32 x 6))
(+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 6 x) (*.f32 6/5 (pow.f32 x 5))))
(+.f32 (*.f32 x 6) (+.f32 (*.f32 (pow.f32 x 3) 2) (*.f32 (pow.f32 x 5) 6/5)))
(+.f32 (*.f32 (pow.f32 x 3) 2) (+.f32 (*.f32 x 6) (*.f32 (pow.f32 x 5) 6/5)))
(+.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 6 x) (+.f32 (*.f32 6/5 (pow.f32 x 5)) (*.f32 6/7 (pow.f32 x 7)))))
(+.f32 (*.f32 (pow.f32 x 3) 2) (+.f32 (*.f32 x 6) (+.f32 (*.f32 (pow.f32 x 5) 6/5) (*.f32 (pow.f32 x 7) 6/7))))
(+.f32 (*.f32 x 6) (+.f32 (*.f32 (pow.f32 x 5) 6/5) (+.f32 (*.f32 (pow.f32 x 3) 2) (*.f32 (pow.f32 x 7) 6/7))))
(*.f32 3 (log.f32 -1))
(+.f32 (*.f32 6 (/.f32 1 x)) (*.f32 3 (log.f32 -1)))
(+.f32 (*.f32 3 (log.f32 -1)) (/.f32 6 x))
(+.f32 (*.f32 6 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 3 (log.f32 -1))))
(+.f32 (/.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 3 (log.f32 -1)) (/.f32 6 x)))
(+.f32 (*.f32 3 (log.f32 -1)) (+.f32 (/.f32 2 (pow.f32 x 3)) (/.f32 6 x)))
(+.f32 (*.f32 6 (/.f32 1 x)) (+.f32 (*.f32 6/5 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 3 (log.f32 -1)))))
(+.f32 (/.f32 6 x) (+.f32 (+.f32 (*.f32 3 (log.f32 -1)) (/.f32 2 (pow.f32 x 3))) (/.f32 6/5 (pow.f32 x 5))))
(+.f32 (/.f32 2 (pow.f32 x 3)) (+.f32 (/.f32 6/5 (pow.f32 x 5)) (+.f32 (*.f32 3 (log.f32 -1)) (/.f32 6 x))))
(*.f32 3 (log.f32 -1))
(+.f32 (*.f32 6 (/.f32 1 x)) (*.f32 3 (log.f32 -1)))
(+.f32 (*.f32 3 (log.f32 -1)) (/.f32 6 x))
(+.f32 (*.f32 6 (/.f32 1 x)) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 3 (log.f32 -1))))
(+.f32 (/.f32 2 (pow.f32 x 3)) (+.f32 (*.f32 3 (log.f32 -1)) (/.f32 6 x)))
(+.f32 (*.f32 3 (log.f32 -1)) (+.f32 (/.f32 2 (pow.f32 x 3)) (/.f32 6 x)))
(+.f32 (*.f32 6 (/.f32 1 x)) (+.f32 (*.f32 6/5 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 3 (log.f32 -1)))))
(+.f32 (/.f32 6 x) (+.f32 (+.f32 (*.f32 3 (log.f32 -1)) (/.f32 2 (pow.f32 x 3))) (/.f32 6/5 (pow.f32 x 5))))
(+.f32 (/.f32 2 (pow.f32 x 3)) (+.f32 (/.f32 6/5 (pow.f32 x 5)) (+.f32 (*.f32 3 (log.f32 -1)) (/.f32 6 x))))
(*.f32 2 x)
(*.f32 x 2)
(+.f32 (*.f32 2 x) (*.f32 2/3 (pow.f32 x 3)))
(+.f32 (*.f32 x 2) (*.f32 (pow.f32 x 3) 2/3))
(+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (*.f32 x 2) (+.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 5) 2/5)))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 (*.f32 x 2) (*.f32 (pow.f32 x 5) 2/5)))
(+.f32 (*.f32 2/7 (pow.f32 x 7)) (+.f32 (*.f32 2 x) (+.f32 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5)))))
(+.f32 (*.f32 x 2) (+.f32 (*.f32 (pow.f32 x 7) 2/7) (+.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 5) 2/5))))
(+.f32 (*.f32 x 2) (+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 (*.f32 (pow.f32 x 7) 2/7) (*.f32 (pow.f32 x 5) 2/5))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (log.f32 -1) (/.f32 2 x))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (/.f32 2 x)))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 2/3 (pow.f32 x 3))))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5)))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/5 (pow.f32 x 5)) (+.f32 (/.f32 2 x) (/.f32 2/3 (pow.f32 x 3)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (log.f32 -1) (/.f32 2 x))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (/.f32 2 x)))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 2/3 (pow.f32 x 3))))
(+.f32 (*.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5)))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2/5 (pow.f32 x 5)) (+.f32 (/.f32 2 x) (/.f32 2/3 (pow.f32 x 3)))))
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(log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 x 1/2))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(/.f32 -1 (-.f32 0 (/.f32 1 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))))))
(log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 x 1/2))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(/.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x)))) 1)
(log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 x 1/2))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(/.f32 1 (/.f32 1 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))))
(log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 x 1/2))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(/.f32 1/2 (/.f32 1/2 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))))
(log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 x 1/2))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(/.f32 (neg.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))) -1)
(log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 x 1/2))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(/.f32 (*.f32 (*.f32 -2 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))) 1/2) -1)
(log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 x 1/2))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(neg.f32 (neg.f32 (log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 1/2 x))))))
(log1p.f32 (/.f32 x (-.f32 1/2 (*.f32 x 1/2))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))

localize13.0ms (0.2%)

Compiler

Compiled 12 to 9 computations (25% saved)

eval686.0ms (11.2%)

Compiler

Compiled 23936 to 19989 computations (16.5% saved)

prune378.0ms (6.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New8890889
Fresh000
Picked011
Done044
Total8895894
Error
0b
Counts
894 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(*.f32 1/2 (+.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 2 x)))
1.1b
(*.f32 1/2 (*.f32 2 x))
0.6b
(*.f32 1/2 (*.f32 -1/2 (-.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3))))
0.1b
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
0.3b
(*.f32 1/2 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1))))
Compiler

Compiled 64 to 54 computations (15.6% saved)

regimes43.0ms (0.7%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f32 1/2 (*.f32 2 x))
(*.f32 1/2 (log1p.f32 -2))
(*.f32 1/2 (log1p.f32 (*.f32 x 2)))
(*.f32 1/2 (log1p.f32 (*.f32 x (+.f32 (*.f32 2 x) 2))))
(*.f32 1/2 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))))
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
(*.f32 1/2 (+.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 2 x)))
(*.f32 1/2 (log1p.f32 (/.f32 (/.f32 4 (-.f32 1 x)) (/.f32 2 x))))
(*.f32 1/2 (*.f32 -1/2 (-.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (*.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3))))
Outputs
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
Calls

4 calls:

20.0ms
x
7.0ms
(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
6.0ms
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
6.0ms
(/.f32 (*.f32 2 x) (-.f32 1 x))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
0.1b1(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
0.1b1(/.f32 (*.f32 2 x) (-.f32 1 x))
Compiler

Compiled 142 to 116 computations (18.3% saved)

regimes6.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f32 1/2 (*.f32 2 x))
(*.f32 1/2 (log1p.f32 -2))
(*.f32 1/2 (log1p.f32 (*.f32 x 2)))
(*.f32 1/2 (log1p.f32 (*.f32 x (+.f32 (*.f32 2 x) 2))))
(*.f32 1/2 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))))
Outputs
(*.f32 1/2 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 58 to 48 computations (17.2% saved)

regimes15.0ms (0.2%)

Accuracy

Total -30.9b remaining (-2738.1%)

Threshold costs -30.9b (-2738.1%)

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

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
1.1b1x
Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01771
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
(*.f32 1/2 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(*.f32 1/2 (*.f32 2 x))
Outputs
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
(*.f32 1/2 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(*.f32 1/2 (*.f32 2 x))
Compiler

Compiled 28 to 23 computations (17.9% saved)

soundness0.0ms (0%)

end50.0ms (0.8%)

Compiler

Compiled 26 to 21 computations (19.2% saved)

Profiling

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