Details

Time bar (total: 9.2s)

analyze6.0ms (0.1%)

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

Compiled 4 to 3 computations (25% saved)

sample1.1s (12.2%)

Results
1.1s8256×body256valid
Bogosity

preprocess22.0ms (0.2%)

Algorithm
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
011
Stop Event
1×saturated
1×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)

simplify78.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
784×fma-def_binary32
380×fma-neg_binary32
251×times-frac_binary32
239×div-sub_binary32
176×associate-/l*_binary32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01015
11815
22915
34615
46315
58615
613915
723813
838213
952513
1065313
1184613
12111813
13191313
14289713
15352013
16355213
17358413
18362013
19362013
Stop Event
1×saturated
Counts
1 → 8
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 2 (/.f32 (-.f32 1 x) x))))
(*.f32 1/2 (log1p.f32 (*.f32 (/.f32 x (-.f32 1 x)) 2)))
(*.f32 1/2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(*.f32 1/2 (log1p.f32 (/.f32 x (-.f32 1/2 (/.f32 x 2)))))
(*.f32 1/2 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))
(*.f32 1/2 (log1p.f32 (/.f32 x (fma.f32 -1/2 x 1/2))))
(*.f32 1/2 (log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2))))

eval2.0ms (0%)

Compiler

Compiled 79 to 63 computations (20.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New628
Fresh011
Picked000
Done000
Total639
Error
0.1b
Counts
9 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
▶0.3b
(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize37.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)))
✓0.1b
(/.f32 (-.f32 1 x) x)
✓0.3b
(/.f32 2 (/.f32 (-.f32 1 x) x))
Compiler

Compiled 38 to 28 computations (26.3% saved)

series44.0ms (0.5%)

Counts
3 → 0
Calls

9 calls:

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

Compiled 1710 to 1440 computations (15.8% saved)

rewrite55.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
937×pow1_binary32
879×add-log-exp_binary32
878×expm1-log1p-u_binary32
877×log1p-expm1-u_binary32
862×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
117829
2238729
Stop Event
1×node limit
Counts
3 → 74
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
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 x (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (/.f32 2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (/.f32 1 (/.f32 (neg.f32 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (-.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (-.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (neg.f32 (-.f32 1 x))) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 2 (-.f32 1 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 2 (-.f32 1 x)) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 2 (-.f32 1 x)) (sqrt.f32 x)) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 (-.f32 1 x) x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 4 (pow.f32 (/.f32 (-.f32 1 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 x (/.f32 2 (-.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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 (-.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (-.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 x) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (*.f32 (cbrt.f32 (-.f32 1 x)) (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) (pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 2) (cbrt.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 1 x)) (*.f32 (sqrt.f32 (-.f32 1 x)) (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 (-.f32 1 x) x)) (sqrt.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (-.f32 1 x)) (/.f32 1 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 (-.f32 1 x) (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 (-.f32 1 x) (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) 1) (/.f32 (cbrt.f32 (-.f32 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (-.f32 1 x)) 1) (/.f32 (sqrt.f32 (-.f32 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (-.f32 1 x)) (pow.f32 (cbrt.f32 x) 2)) (/.f32 (sqrt.f32 (-.f32 1 x)) (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (sqrt.f32 x)) (/.f32 (cbrt.f32 (-.f32 1 x)) (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (-.f32 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 x (-.f32 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (-.f32 1 x) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (-.f32 1 x) 3) (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (-.f32 1 x) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))))))

simplify40.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
512×unswap-sqr_binary32
414×times-frac_binary32
408×associate-/r*_binary32
322×associate-*l/_binary32
283×associate-/l*_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0152937
1365817
21509694
Stop Event
1×node limit
Counts
74 → 86
Calls
Call 1
Inputs
(-.f32 (+.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x))))
(*.f32 x (/.f32 2 (-.f32 1 x)))
(*.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 1)
(*.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(*.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(*.f32 -2 (/.f32 1 (/.f32 (neg.f32 (-.f32 1 x)) x)))
(*.f32 (/.f32 x (-.f32 1 x)) 2)
(*.f32 (/.f32 2 (-.f32 1 x)) x)
(*.f32 (/.f32 2 (neg.f32 (-.f32 1 x))) (neg.f32 x))
(*.f32 (*.f32 (/.f32 2 (-.f32 1 x)) 1) x)
(*.f32 (*.f32 (/.f32 2 (-.f32 1 x)) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x))
(*.f32 (*.f32 (/.f32 2 (-.f32 1 x)) (sqrt.f32 x)) (sqrt.f32 x))
(pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 1)
(pow.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)
(pow.f32 (*.f32 (/.f32 (-.f32 1 x) x) 1/2) -1)
(sqrt.f32 (/.f32 4 (pow.f32 (/.f32 (-.f32 1 x) x) 2)))
(log.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(log1p.f32 (expm1.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(exp.f32 (log.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 (/.f32 1 x) -1)
(-.f32 (/.f32 1 x) 1)
(-.f32 (+.f32 1 (/.f32 (-.f32 1 x) x)) 1)
(*.f32 1 (/.f32 (-.f32 1 x) x))
(*.f32 (-.f32 1 x) (/.f32 1 x))
(*.f32 (/.f32 (-.f32 1 x) x) 1)
(*.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (*.f32 (cbrt.f32 (-.f32 1 x)) (/.f32 1 x)))
(*.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) (pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 2) (cbrt.f32 (/.f32 (-.f32 1 x) x)))
(*.f32 (sqrt.f32 (-.f32 1 x)) (*.f32 (sqrt.f32 (-.f32 1 x)) (/.f32 1 x)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 x) x)) (sqrt.f32 (/.f32 (-.f32 1 x) x)))
(*.f32 (neg.f32 (-.f32 1 x)) (/.f32 1 (neg.f32 x)))
(*.f32 (/.f32 1 x) (-.f32 1 x))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 (-.f32 1 x) (cbrt.f32 x)))
(*.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 (-.f32 1 x) (sqrt.f32 x)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) 1) (/.f32 (cbrt.f32 (-.f32 1 x)) x))
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 x)) 1) (/.f32 (sqrt.f32 (-.f32 1 x)) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 (/.f32 (-.f32 1 x) x)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 x)) (pow.f32 (cbrt.f32 x) 2)) (/.f32 (sqrt.f32 (-.f32 1 x)) (cbrt.f32 x)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (sqrt.f32 x)) (/.f32 (cbrt.f32 (-.f32 1 x)) (sqrt.f32 x)))
(pow.f32 (/.f32 (-.f32 1 x) x) 1)
(pow.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 3) 1/3)
(pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 3)
(pow.f32 (sqrt.f32 (/.f32 (-.f32 1 x) x)) 2)
(pow.f32 (/.f32 x (-.f32 1 x)) -1)
(neg.f32 (/.f32 (-.f32 1 x) (neg.f32 x)))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 2))
(log.f32 (exp.f32 (/.f32 (-.f32 1 x) x)))
(cbrt.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 3))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 1 x) 3) (pow.f32 x 3)))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 1 x) x)))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 1 x) x)))
(exp.f32 (log.f32 (/.f32 (-.f32 1 x) x)))
(-.f32 (+.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 1)
(*.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))
(log.f32 (+.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
Outputs
(-.f32 (+.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(*.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x))))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(*.f32 x (/.f32 2 (-.f32 1 x)))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(*.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 1)
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(*.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(*.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(*.f32 -2 (/.f32 1 (/.f32 (neg.f32 (-.f32 1 x)) x)))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(*.f32 (/.f32 x (-.f32 1 x)) 2)
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(*.f32 (/.f32 2 (-.f32 1 x)) x)
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(*.f32 (/.f32 2 (neg.f32 (-.f32 1 x))) (neg.f32 x))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(*.f32 (*.f32 (/.f32 2 (-.f32 1 x)) 1) x)
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(*.f32 (*.f32 (/.f32 2 (-.f32 1 x)) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(*.f32 (*.f32 (/.f32 2 (-.f32 1 x)) (sqrt.f32 x)) (sqrt.f32 x))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 1)
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(pow.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 3) 1/3)
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3)
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(pow.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(pow.f32 (*.f32 (/.f32 (-.f32 1 x) x) 1/2) -1)
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(sqrt.f32 (/.f32 4 (pow.f32 (/.f32 (-.f32 1 x) x) 2)))
(sqrt.f32 (/.f32 4 (pow.f32 (+.f32 -1 (/.f32 1 x)) 2)))
(sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(log.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 3))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(expm1.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(log1p.f32 (expm1.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(exp.f32 (log.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 1 (-.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(+.f32 (/.f32 1 x) -1)
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(-.f32 (+.f32 1 (/.f32 (-.f32 1 x) x)) 1)
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 1 (/.f32 (-.f32 1 x) x))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (-.f32 1 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (/.f32 (-.f32 1 x) x) 1)
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (*.f32 (cbrt.f32 (-.f32 1 x)) (/.f32 1 x)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) (pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 2))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 2) (cbrt.f32 (/.f32 (-.f32 1 x) x)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (sqrt.f32 (-.f32 1 x)) (*.f32 (sqrt.f32 (-.f32 1 x)) (/.f32 1 x)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 x) x)) (sqrt.f32 (/.f32 (-.f32 1 x) x)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (neg.f32 (-.f32 1 x)) (/.f32 1 (neg.f32 x)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (/.f32 1 x) (-.f32 1 x))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 (-.f32 1 x) (cbrt.f32 x)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 (-.f32 1 x) (sqrt.f32 x)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) 1) (/.f32 (cbrt.f32 (-.f32 1 x)) x))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 x)) 1) (/.f32 (sqrt.f32 (-.f32 1 x)) x))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 (/.f32 (-.f32 1 x) x)))
(*.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (pow.f32 (cbrt.f32 x) 2)))
(*.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 x))) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (pow.f32 (cbrt.f32 x) 2)))
(/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (/.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 (+.f32 -1 (/.f32 1 x)))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 x)) (pow.f32 (cbrt.f32 x) 2)) (/.f32 (sqrt.f32 (-.f32 1 x)) (cbrt.f32 x)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (sqrt.f32 x)) (/.f32 (cbrt.f32 (-.f32 1 x)) (sqrt.f32 x)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(pow.f32 (/.f32 (-.f32 1 x) x) 1)
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(pow.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 3) 1/3)
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 3)
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 1 x) x)) 2)
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(pow.f32 (/.f32 x (-.f32 1 x)) -1)
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(neg.f32 (/.f32 (-.f32 1 x) (neg.f32 x)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 2))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(log.f32 (exp.f32 (/.f32 (-.f32 1 x) x)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(cbrt.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 3))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 1 x) 3) (pow.f32 x 3)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 1 x) x)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 1 x) x)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(exp.f32 (log.f32 (/.f32 (-.f32 1 x) x)))
(-.f32 (/.f32 1 x) 1)
(+.f32 -1 (/.f32 1 x))
(-.f32 (+.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 1)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(*.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3) 1/3)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 3)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(log.f32 (+.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))

localize77.0ms (0.8%)

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)

series15.0ms (0.2%)

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

Compiled 1460 to 1240 computations (15.1% saved)

rewrite68.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
912×pow1_binary32
854×add-log-exp_binary32
853×expm1-log1p-u_binary32
852×log1p-expm1-u_binary32
838×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
117022
2224922
Stop Event
1×node limit
Counts
2 → 58
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 1 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 x (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 1 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 x (/.f32 1 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (*.f32 2 (/.f32 1 (-.f32 1 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 1 (*.f32 (/.f32 2 (-.f32 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2) (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (*.f32 (cbrt.f32 (*.f32 2 x)) (/.f32 1 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) (sqrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 2 x)) (*.f32 (sqrt.f32 (*.f32 2 x)) (/.f32 1 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -2) (/.f32 1 (neg.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1 x)) (*.f32 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x 1) (/.f32 2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (-.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) 1) (/.f32 (cbrt.f32 (*.f32 2 x)) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (*.f32 2 x)) 1) (/.f32 (sqrt.f32 (*.f32 2 x)) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 x (cbrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 (*.f32 2 x) (cbrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (*.f32 2 x)) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 (sqrt.f32 (*.f32 2 x)) (cbrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (sqrt.f32 (-.f32 1 x))) (/.f32 x (sqrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (sqrt.f32 (-.f32 1 x))) (/.f32 2 (sqrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (-.f32 1 x))) (/.f32 (*.f32 2 x) (sqrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (sqrt.f32 (-.f32 1 x))) (/.f32 (cbrt.f32 (*.f32 2 x)) (sqrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 2 x) (-.f32 1 (pow.f32 x 3))) (+.f32 1 (fma.f32 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 2 x) (-.f32 1 (*.f32 x x))) (+.f32 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 1/2 (/.f32 (-.f32 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (*.f32 2 x) (neg.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (*.f32 2 x) 3) (pow.f32 (-.f32 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2) (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))))))

simplify55.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
784×fma-def_binary32
668×log-div_binary32
552×associate-/l*_binary32
398×associate-*l/_binary32
342×fma-neg_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01391030
1370889
21440745
36720741
Stop Event
1×node limit
Counts
58 → 73
Calls
Call 1
Inputs
(-.f32 (+.f32 1 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 1)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 2 (/.f32 1 (/.f32 (-.f32 1 x) x)))
(*.f32 2 (*.f32 x (/.f32 1 (-.f32 1 x))))
(*.f32 x (*.f32 2 (/.f32 1 (-.f32 1 x))))
(*.f32 (*.f32 2 x) (/.f32 1 (-.f32 1 x)))
(*.f32 1 (*.f32 (/.f32 2 (-.f32 1 x)) x))
(*.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 1)
(*.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2) (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (*.f32 (cbrt.f32 (*.f32 2 x)) (/.f32 1 (-.f32 1 x))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) (sqrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(*.f32 (sqrt.f32 (*.f32 2 x)) (*.f32 (sqrt.f32 (*.f32 2 x)) (/.f32 1 (-.f32 1 x))))
(*.f32 (*.f32 x -2) (/.f32 1 (neg.f32 (-.f32 1 x))))
(*.f32 (/.f32 1 (-.f32 1 x)) (*.f32 2 x))
(*.f32 (/.f32 x 1) (/.f32 2 (-.f32 1 x)))
(*.f32 (/.f32 2 (-.f32 1 x)) x)
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) 1) (/.f32 (cbrt.f32 (*.f32 2 x)) (-.f32 1 x)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 2 x)) 1) (/.f32 (sqrt.f32 (*.f32 2 x)) (-.f32 1 x)))
(*.f32 (/.f32 2 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 x (cbrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 (*.f32 2 x) (cbrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 2 x)) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 (sqrt.f32 (*.f32 2 x)) (cbrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 2 (sqrt.f32 (-.f32 1 x))) (/.f32 x (sqrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 x (sqrt.f32 (-.f32 1 x))) (/.f32 2 (sqrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 x))) (/.f32 (*.f32 2 x) (sqrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (sqrt.f32 (-.f32 1 x))) (/.f32 (cbrt.f32 (*.f32 2 x)) (sqrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 (*.f32 2 x) (-.f32 1 (pow.f32 x 3))) (+.f32 1 (fma.f32 x x x)))
(*.f32 (/.f32 (*.f32 2 x) (-.f32 1 (*.f32 x x))) (+.f32 x 1))
(pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 1)
(pow.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2)
(pow.f32 (*.f32 1/2 (/.f32 (-.f32 1 x) x)) -1)
(neg.f32 (/.f32 (*.f32 2 x) (neg.f32 (-.f32 1 x))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 2))
(log.f32 (exp.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 3))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 2 x) 3) (pow.f32 (-.f32 1 x) 3)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(exp.f32 (log.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(-.f32 (+.f32 1 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 1)
(*.f32 1 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(*.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 1)
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2) (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
(pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 1)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2))
(log.f32 (+.f32 1 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
Outputs
(-.f32 (+.f32 1 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 1)
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 1 (/.f32 (-.f32 1 x) x)))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 2 (*.f32 x (/.f32 1 (-.f32 1 x))))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 x (*.f32 2 (/.f32 1 (-.f32 1 x))))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (*.f32 2 x) (/.f32 1 (-.f32 1 x)))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 1 (*.f32 (/.f32 2 (-.f32 1 x)) x))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 1)
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2) (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (*.f32 (cbrt.f32 (*.f32 2 x)) (/.f32 1 (-.f32 1 x))))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) (sqrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (sqrt.f32 (*.f32 2 x)) (*.f32 (sqrt.f32 (*.f32 2 x)) (/.f32 1 (-.f32 1 x))))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (*.f32 x -2) (/.f32 1 (neg.f32 (-.f32 1 x))))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (/.f32 1 (-.f32 1 x)) (*.f32 2 x))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (/.f32 x 1) (/.f32 2 (-.f32 1 x)))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (/.f32 2 (-.f32 1 x)) x)
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) 1) (/.f32 (cbrt.f32 (*.f32 2 x)) (-.f32 1 x)))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 2 x)) 1) (/.f32 (sqrt.f32 (*.f32 2 x)) (-.f32 1 x)))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (/.f32 2 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 x (cbrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 2 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 x (cbrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 (*.f32 2 x) (cbrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 2 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 x (cbrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(*.f32 (cbrt.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) (/.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)))
(*.f32 (cbrt.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) (/.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 2 x)) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 (sqrt.f32 (*.f32 2 x)) (cbrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 2 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 x (cbrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 2 (sqrt.f32 (-.f32 1 x))) (/.f32 x (sqrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 x (sqrt.f32 (-.f32 1 x))) (/.f32 2 (sqrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 2 (sqrt.f32 (-.f32 1 x))) (/.f32 x (sqrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 x))) (/.f32 (*.f32 2 x) (sqrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 2 (sqrt.f32 (-.f32 1 x))) (/.f32 x (sqrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (sqrt.f32 (-.f32 1 x))) (/.f32 (cbrt.f32 (*.f32 2 x)) (sqrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 2 (sqrt.f32 (-.f32 1 x))) (/.f32 x (sqrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 (*.f32 2 x) (-.f32 1 (pow.f32 x 3))) (+.f32 1 (fma.f32 x x x)))
(/.f32 (*.f32 (*.f32 2 x) (+.f32 1 (fma.f32 x x x))) (-.f32 1 (pow.f32 x 3)))
(*.f32 (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) x) (+.f32 1 (fma.f32 x x x)))
(/.f32 2 (/.f32 (-.f32 1 (pow.f32 x 3)) (+.f32 (pow.f32 x 3) (fma.f32 x x x))))
(*.f32 (/.f32 (fma.f32 2 (fma.f32 x x x) 2) (-.f32 1 (pow.f32 x 3))) x)
(*.f32 (/.f32 (*.f32 2 x) (-.f32 1 (*.f32 x x))) (+.f32 x 1))
(*.f32 (/.f32 2 (/.f32 (-.f32 1 (*.f32 x x)) x)) (+.f32 1 x))
(/.f32 (*.f32 (*.f32 2 x) (+.f32 1 x)) (-.f32 1 (*.f32 x x)))
(*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (+.f32 1 x))
(/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))
(pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 1)
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(pow.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 3) 1/3)
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3)
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2)
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(pow.f32 (*.f32 1/2 (/.f32 (-.f32 1 x) x)) -1)
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(neg.f32 (/.f32 (*.f32 2 x) (neg.f32 (-.f32 1 x))))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 2))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(log.f32 (exp.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 3))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 2 x) 3) (pow.f32 (-.f32 1 x) 3)))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(exp.f32 (log.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(+.f32 1 (-.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(-.f32 (+.f32 1 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 1)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(*.f32 1 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(*.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 1)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2) (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 1)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3) 1/3)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 3)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log.f32 (+.f32 1 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))

eval57.0ms (0.6%)

Compiler

Compiled 2365 to 1941 computations (17.9% saved)

prune31.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1527159
Fresh000
Picked011
Done101
Total1538161
Error
0.0b
Counts
161 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
0.8b
(*.f32 1/2 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 3))
0.8b
(*.f32 1/2 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2) (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))
✓0.1b
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
▶0.2b
(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 (pow.f32 x 3)) (+.f32 (pow.f32 x 3) (fma.f32 x x x))))))
▶0.2b
(*.f32 1/2 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1))))
▶0.3b
(*.f32 1/2 (log1p.f32 (*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (+.f32 1 x))))
▶20.6b
(*.f32 1/2 (log1p.f32 (sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
▶18.5b
(*.f32 1/2 (exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))
Compiler

Compiled 229 to 191 computations (16.6% saved)

localize67.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
✓0.0b
(log1p.f32 (/.f32 2 (/.f32 (-.f32 1 (pow.f32 x 3)) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))))
✓0.1b
(/.f32 (-.f32 1 (pow.f32 x 3)) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))
✓0.3b
(/.f32 2 (/.f32 (-.f32 1 (pow.f32 x 3)) (+.f32 (pow.f32 x 3) (fma.f32 x x x))))
Compiler

Compiled 92 to 57 computations (38% saved)

series49.0ms (0.5%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f32 (-.f32 1 (pow.f32 x 3)) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))
1.0ms
x
@0
(/.f32 (-.f32 1 (pow.f32 x 3)) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))
1.0ms
x
@inf
(/.f32 (-.f32 1 (pow.f32 x 3)) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))
0.0ms
x
@0
(log1p.f32 (/.f32 2 (/.f32 (-.f32 1 (pow.f32 x 3)) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))))
0.0ms
x
@0
(/.f32 2 (/.f32 (-.f32 1 (pow.f32 x 3)) (+.f32 (pow.f32 x 3) (fma.f32 x x x))))
Compiler

Compiled 2290 to 1885 computations (17.7% saved)

rewrite76.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
611×log-prod_binary32
385×fma-def_binary32
331×pow2_binary32
227×pow1/3_binary32
226×expm1-udef_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01279
127579
2370779
Stop Event
1×node limit
Counts
4 → 176
Calls
Call 1
Inputs
(/.f32 2 (/.f32 (-.f32 1 (pow.f32 x 3)) (+.f32 (pow.f32 x 3) (fma.f32 x x x))))
(/.f32 (-.f32 1 (pow.f32 x 3)) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))
(log1p.f32 (/.f32 2 (/.f32 (-.f32 1 (pow.f32 x 3)) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (*.f32 (fma.f32 x x x) (/.f32 2 (-.f32 1 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (fma.f32 x x x) (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (*.f32 (pow.f32 x 3) (/.f32 2 (-.f32 1 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (pow.f32 x 3)) (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (fma.f32 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (fma.f32 x x x)) (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 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simplify90.0ms (1%)

Algorithm
1×egg-herbie
Rules
519×cancel-sign-sub-inv_binary32
358×fma-neg_binary32
354×log-prod_binary32
290×distribute-rgt-neg-in_binary32
189×cube-prod_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03714167
18754073
234254061
Stop Event
1×node limit
Counts
176 → 212
Calls
Call 1
Inputs
(+.f32 0 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3)))))
(+.f32 (*.f32 (pow.f32 x 3) (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (*.f32 (fma.f32 x x x) (/.f32 2 (-.f32 1 (pow.f32 x 3)))))
(+.f32 (*.f32 (fma.f32 x x x) (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (*.f32 (pow.f32 x 3) (/.f32 2 (-.f32 1 (pow.f32 x 3)))))
(+.f32 (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (pow.f32 x 3)) (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (fma.f32 x x x)))
(+.f32 (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (fma.f32 x x x)) (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (pow.f32 x 3)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (+.f32 (pow.f32 x 3) (fma.f32 x x x))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (+.f32 (pow.f32 x 3) (fma.f32 x x x))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (+.f32 (pow.f32 x 3) (fma.f32 x x x))))))
(-.f32 (fma.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))) 1) 1)
(*.f32 2 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1 (pow.f32 x 3))))
(*.f32 1 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3)))))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(*.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3)))) 1)
(*.f32 (cbrt.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))) (cbrt.f32 (*.f32 4 (pow.f32 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1 (pow.f32 x 3))) 2))))
(*.f32 (cbrt.f32 (*.f32 4 (pow.f32 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1 (pow.f32 x 3))) 2))) (cbrt.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))) (sqrt.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))))
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(*.f32 (+.f32 (pow.f32 x 9) (pow.f32 (fma.f32 x x x) 3)) (/.f32 1 (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) (pow.f32 x 3)) (pow.f32 x 6))))
(*.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x x) 2)) (/.f32 1 (-.f32 (pow.f32 x 3) (fma.f32 x x x))))
(/.f32 1 (/.f32 (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) (pow.f32 x 3)) (pow.f32 x 6)) (+.f32 (pow.f32 x 9) (pow.f32 (fma.f32 x x x) 3))))
(/.f32 1 (/.f32 (-.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x x) 2))))
(/.f32 (+.f32 (pow.f32 x 9) (pow.f32 (fma.f32 x x x) 3)) (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) (pow.f32 x 3)) (pow.f32 x 6)))
(/.f32 (+.f32 (pow.f32 x 9) (pow.f32 (fma.f32 x x x) 3)) (+.f32 (pow.f32 (fma.f32 x x x) 2) (-.f32 (pow.f32 x 6) (*.f32 (pow.f32 x 3) (fma.f32 x x x)))))
(/.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x x) 2)) (-.f32 (pow.f32 x 3) (fma.f32 x x x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 9) (pow.f32 (fma.f32 x x x) 3))) (neg.f32 (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) (pow.f32 x 3)) (pow.f32 x 6))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x x) 2))) (neg.f32 (-.f32 (pow.f32 x 3) (fma.f32 x x x))))
(/.f32 (-.f32 (pow.f32 (fma.f32 x x x) 2) (pow.f32 x 6)) (-.f32 (fma.f32 x x x) (pow.f32 x 3)))
(pow.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 1)
(pow.f32 (pow.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 2) 1/2)
(pow.f32 (pow.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x))) 3)
(pow.f32 (hypot.f32 (hypot.f32 x (sqrt.f32 x)) (pow.f32 x 3/2)) 2)
(pow.f32 (/.f32 (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) (pow.f32 x 3)) (pow.f32 x 6)) (+.f32 (pow.f32 x 9) (pow.f32 (fma.f32 x x x) 3))) -1)
(pow.f32 (/.f32 (-.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x x) 2))) -1)
(sqrt.f32 (pow.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 2))
(log.f32 (exp.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (pow.f32 x 3))) (exp.f32 (fma.f32 x x x))))
(log.f32 (*.f32 (exp.f32 (pow.f32 x 3)) (+.f32 1 (expm1.f32 (fma.f32 x x x)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (pow.f32 x 3))) (+.f32 1 (expm1.f32 (fma.f32 x x x)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (fma.f32 x x x))) (exp.f32 (pow.f32 x 3))))
(log.f32 (*.f32 (exp.f32 (fma.f32 x x x)) (+.f32 1 (expm1.f32 (pow.f32 x 3)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (fma.f32 x x x))) (+.f32 1 (expm1.f32 (pow.f32 x 3)))))
(cbrt.f32 (pow.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 3))
(expm1.f32 (log1p.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x))))
(log1p.f32 (expm1.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x))))
(exp.f32 (log.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x))))
(exp.f32 (*.f32 (log.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x))) 1))
(fma.f32 1 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 1 (fma.f32 x x x) (pow.f32 x 3))
(fma.f32 1 (*.f32 x x) (+.f32 x (pow.f32 x 3)))
(fma.f32 x x (+.f32 x (pow.f32 x 3)))
(fma.f32 x (*.f32 x x) (fma.f32 x x x))
(fma.f32 x (+.f32 x 1) (pow.f32 x 3))
(fma.f32 (pow.f32 x 3) 1 (fma.f32 x x x))
(fma.f32 (fma.f32 x x x) 1 (pow.f32 x 3))
(fma.f32 (*.f32 x x) x (fma.f32 x x x))
(fma.f32 (cbrt.f32 (fma.f32 x x x)) (cbrt.f32 (pow.f32 (fma.f32 x x x) 2)) (pow.f32 x 3))
(fma.f32 (cbrt.f32 (pow.f32 (fma.f32 x x x) 2)) (cbrt.f32 (fma.f32 x x x)) (pow.f32 x 3))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 (cbrt.f32 x) x) (+.f32 x (pow.f32 x 3)))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 (cbrt.f32 x) (*.f32 x x)) (fma.f32 x x x))
(fma.f32 (hypot.f32 x (sqrt.f32 x)) (hypot.f32 x (sqrt.f32 x)) (pow.f32 x 3))
(fma.f32 (sqrt.f32 x) (pow.f32 x 3/2) (+.f32 x (pow.f32 x 3)))
(fma.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (*.f32 x x)) (fma.f32 x x x))
(fma.f32 (pow.f32 x 3/2) (sqrt.f32 x) (+.f32 x (pow.f32 x 3)))
(fma.f32 (pow.f32 x 3/2) (pow.f32 x 3/2) (fma.f32 x x x))
(fma.f32 (pow.f32 (pow.f32 (cbrt.f32 x) 2) 2) (pow.f32 (cbrt.f32 x) 2) (+.f32 x (pow.f32 x 3)))
(fma.f32 (+.f32 x 1) x (pow.f32 x 3))
(fma.f32 (*.f32 (*.f32 x x) 1) x (fma.f32 x x x))
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) (+.f32 x (pow.f32 x 3)))
(fma.f32 (*.f32 (*.f32 x x) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) (fma.f32 x x x))
(fma.f32 (*.f32 (*.f32 x x) (sqrt.f32 x)) (sqrt.f32 x) (fma.f32 x x x))
Outputs
(+.f32 0 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3)))))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(+.f32 (*.f32 (pow.f32 x 3) (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (*.f32 (fma.f32 x x x) (/.f32 2 (-.f32 1 (pow.f32 x 3)))))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(+.f32 (*.f32 (fma.f32 x x x) (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (*.f32 (pow.f32 x 3) (/.f32 2 (-.f32 1 (pow.f32 x 3)))))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(+.f32 (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (pow.f32 x 3)) (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (fma.f32 x x x)))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(+.f32 (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (fma.f32 x x x)) (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (pow.f32 x 3)))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (+.f32 (pow.f32 x 3) (fma.f32 x x x))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (+.f32 (pow.f32 x 3) (fma.f32 x x x))))))
(*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (+.f32 (pow.f32 x 3) (fma.f32 x x x))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (+.f32 (pow.f32 x 3) (fma.f32 x x x))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3)))) (+.f32 (pow.f32 x 3) (fma.f32 x x x))))))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(-.f32 (fma.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))) 1) 1)
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(*.f32 2 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1 (pow.f32 x 3))))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(*.f32 1 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3)))))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(*.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3)))) 1)
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(*.f32 (cbrt.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))) (cbrt.f32 (*.f32 4 (pow.f32 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1 (pow.f32 x 3))) 2))))
(*.f32 (cbrt.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))) (cbrt.f32 (pow.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3)))) 2)))
(*.f32 (cbrt.f32 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))) (cbrt.f32 (pow.f32 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2))) 2)))
(*.f32 (cbrt.f32 (*.f32 4 (pow.f32 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1 (pow.f32 x 3))) 2))) (cbrt.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))))
(*.f32 (cbrt.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))) (cbrt.f32 (*.f32 4 (pow.f32 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1 (pow.f32 x 3))) 2))))
(*.f32 (cbrt.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))) (cbrt.f32 (pow.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3)))) 2)))
(*.f32 (cbrt.f32 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))) (cbrt.f32 (pow.f32 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2))) 2)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))) (sqrt.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(*.f32 -2 (/.f32 1 (/.f32 (neg.f32 (-.f32 1 (pow.f32 x 3))) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(*.f32 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1 (pow.f32 x 3))) 2)
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(*.f32 (/.f32 2 (neg.f32 (-.f32 1 (pow.f32 x 3)))) (neg.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x))))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(*.f32 (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) 1) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(*.f32 (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (cbrt.f32 (pow.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 2))) (cbrt.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x))))
(*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (*.f32 (cbrt.f32 (pow.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 2)) (cbrt.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)))))
(*.f32 (*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (hypot.f32 (hypot.f32 x (sqrt.f32 x)) (pow.f32 x 3/2))) (hypot.f32 (hypot.f32 x (sqrt.f32 x)) (pow.f32 x 3/2)))
(*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (pow.f32 (hypot.f32 (hypot.f32 x (sqrt.f32 x)) (pow.f32 x 3/2)) 2))
(pow.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3)))) 1)
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(pow.f32 (*.f32 4 (pow.f32 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1 (pow.f32 x 3))) 2)) 1/2)
(sqrt.f32 (*.f32 4 (pow.f32 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1 (pow.f32 x 3))) 2)))
(sqrt.f32 (pow.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3)))) 2))
(fabs.f32 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2))))
(pow.f32 (pow.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3)))) 3) 1/3)
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(pow.f32 (cbrt.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))) 3)
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(pow.f32 (sqrt.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))) 2)
(*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1/2 (/.f32 (pow.f32 x 3) 2)))
(pow.f32 (/.f32 (-.f32 1 (pow.f32 x 3)) (*.f32 2 (+.f32 (pow.f32 x 3) (fma.f32 x x x)))) -1)
(/.f32 1 (/.f32 (-.f32 1 (pow.f32 x 3)) (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 2)))
(*.f32 (/.f32 1 (-.f32 1 (pow.f32 x 3))) (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 2))
(*.f32 (/.f32 1 (-.f32 1/2 (/.f32 (pow.f32 x 3) 2))) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))
(pow.f32 (/.f32 (/.f32 (-.f32 1 (pow.f32 x 3)) (*.f32 2 (+.f32 (pow.f32 x 3) (fma.f32 x x x)))) 1) -1)
(/.f32 1 (/.f32 (-.f32 1 (pow.f32 x 3)) (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 2)))
(*.f32 (/.f32 1 (-.f32 1 (pow.f32 x 3))) (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 2))
(*.f32 (/.f32 1 (-.f32 1/2 (/.f32 (pow.f32 x 3) 2))) (+.f32 (pow.f32 x 3) (fma.f32 x x x)))
(sqrt.f32 (*.f32 4 (pow.f32 (/.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 1 (pow.f32 x 3))) 2)))
(sqrt.f32 (pow.f32 (*.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) (/.f32 2 (-.f32 1 (pow.f32 x 3)))) 2))
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(/.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x x) 2)) (-.f32 (pow.f32 x 3) (fma.f32 x x x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 9) (pow.f32 (fma.f32 x x x) 3))) (neg.f32 (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) (pow.f32 x 3)) (pow.f32 x 6))))
(/.f32 1 (/.f32 (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) (pow.f32 x 3)) (pow.f32 x 6)) (+.f32 (pow.f32 x 9) (pow.f32 (fma.f32 x x x) 3))))
(/.f32 (+.f32 (pow.f32 x 9) (pow.f32 (fma.f32 x x x) 3)) (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) (pow.f32 x 3)) (pow.f32 x 6)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x x) 2))) (neg.f32 (-.f32 (pow.f32 x 3) (fma.f32 x x x))))
(/.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x x) 2)) (-.f32 (pow.f32 x 3) (fma.f32 x x x)))
(/.f32 (-.f32 (pow.f32 (fma.f32 x x x) 2) (pow.f32 x 6)) (-.f32 (fma.f32 x x x) (pow.f32 x 3)))
(/.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x x) 2)) (-.f32 (pow.f32 x 3) (fma.f32 x x x)))
(pow.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 1)
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(pow.f32 (pow.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 2) 1/2)
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(pow.f32 (pow.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 3) 1/3)
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(pow.f32 (cbrt.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x))) 3)
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(pow.f32 (hypot.f32 (hypot.f32 x (sqrt.f32 x)) (pow.f32 x 3/2)) 2)
(pow.f32 (/.f32 (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) (pow.f32 x 3)) (pow.f32 x 6)) (+.f32 (pow.f32 x 9) (pow.f32 (fma.f32 x x x) 3))) -1)
(/.f32 1 (/.f32 (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) (pow.f32 x 3)) (pow.f32 x 6)) (+.f32 (pow.f32 x 9) (pow.f32 (fma.f32 x x x) 3))))
(/.f32 (+.f32 (pow.f32 x 9) (pow.f32 (fma.f32 x x x) 3)) (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) (pow.f32 x 3)) (pow.f32 x 6)))
(pow.f32 (/.f32 (-.f32 (pow.f32 x 3) (fma.f32 x x x)) (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x x) 2))) -1)
(/.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x x) 2)) (-.f32 (pow.f32 x 3) (fma.f32 x x x)))
(sqrt.f32 (pow.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 2))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(log.f32 (exp.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x))))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)))))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (pow.f32 x 3))) (exp.f32 (fma.f32 x x x))))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(log.f32 (*.f32 (exp.f32 (pow.f32 x 3)) (+.f32 1 (expm1.f32 (fma.f32 x x x)))))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (pow.f32 x 3))) (+.f32 1 (expm1.f32 (fma.f32 x x x)))))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (fma.f32 x x x))) (exp.f32 (pow.f32 x 3))))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(log.f32 (*.f32 (exp.f32 (fma.f32 x x x)) (+.f32 1 (expm1.f32 (pow.f32 x 3)))))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (fma.f32 x x x))) (+.f32 1 (expm1.f32 (pow.f32 x 3)))))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(cbrt.f32 (pow.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x)) 3))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(expm1.f32 (log1p.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x))))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(log1p.f32 (expm1.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x))))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(exp.f32 (log.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x))))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(exp.f32 (*.f32 (log.f32 (+.f32 (pow.f32 x 3) (fma.f32 x x x))) 1))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 1 (pow.f32 x 3) (fma.f32 x x x))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 1 (fma.f32 x x x) (pow.f32 x 3))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 1 (*.f32 x x) (+.f32 x (pow.f32 x 3)))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 x x (+.f32 x (pow.f32 x 3)))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 x (*.f32 x x) (fma.f32 x x x))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 x (+.f32 x 1) (pow.f32 x 3))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 (pow.f32 x 3) 1 (fma.f32 x x x))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 (fma.f32 x x x) 1 (pow.f32 x 3))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 (*.f32 x x) x (fma.f32 x x x))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 (cbrt.f32 (fma.f32 x x x)) (cbrt.f32 (pow.f32 (fma.f32 x x x) 2)) (pow.f32 x 3))
(fma.f32 (cbrt.f32 (pow.f32 (fma.f32 x x x) 2)) (cbrt.f32 (fma.f32 x x x)) (pow.f32 x 3))
(fma.f32 (cbrt.f32 (fma.f32 x x x)) (cbrt.f32 (pow.f32 (fma.f32 x x x) 2)) (pow.f32 x 3))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 (cbrt.f32 x) x) (+.f32 x (pow.f32 x 3)))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 (cbrt.f32 x) (*.f32 x x)) (fma.f32 x x x))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 (hypot.f32 x (sqrt.f32 x)) (hypot.f32 x (sqrt.f32 x)) (pow.f32 x 3))
(fma.f32 (sqrt.f32 x) (pow.f32 x 3/2) (+.f32 x (pow.f32 x 3)))
(fma.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (*.f32 x x)) (fma.f32 x x x))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 (pow.f32 x 3/2) (sqrt.f32 x) (+.f32 x (pow.f32 x 3)))
(fma.f32 (sqrt.f32 x) (pow.f32 x 3/2) (+.f32 x (pow.f32 x 3)))
(fma.f32 (pow.f32 x 3/2) (pow.f32 x 3/2) (fma.f32 x x x))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 (pow.f32 (pow.f32 (cbrt.f32 x) 2) 2) (pow.f32 (cbrt.f32 x) 2) (+.f32 x (pow.f32 x 3)))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 (+.f32 x 1) x (pow.f32 x 3))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 (*.f32 (*.f32 x x) 1) x (fma.f32 x x x))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) (+.f32 x (pow.f32 x 3)))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 (*.f32 (*.f32 x x) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) (fma.f32 x x x))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))
(fma.f32 (*.f32 (*.f32 x x) (sqrt.f32 x)) (sqrt.f32 x) (fma.f32 x x x))
(+.f32 (pow.f32 x 3) (fma.f32 x x x))

localize44.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 38 to 32 computations (15.8% saved)

series20.0ms (0.2%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(-.f32 (/.f32 1 x) 1)
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)))
Compiler

Compiled 1485 to 1260 computations (15.2% saved)

rewrite50.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
807×pow1_binary32
755×add-log-exp_binary32
753×expm1-log1p-u_binary32
752×log1p-expm1-u_binary32
740×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
117529
2217729
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(/.f32 2 (-.f32 (/.f32 1 x) 1))
(log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1)))
(-.f32 (/.f32 1 x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 1 (+.f32 (/.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (pow.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (/.f32 1 (+.f32 (neg.f32 (/.f32 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 (/.f32 1 x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (+.f32 (pow.f32 x -3) -1)) (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (+.f32 (pow.f32 x -2) -1)) (+.f32 1 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (/.f32 (/.f32 1 x) 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (/.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 (/.f32 1 x) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 (/.f32 1 x) -1)) (sqrt.f32 (+.f32 (/.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 x -3) -1) (/.f32 1 (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 x -2) -1) (/.f32 1 (+.f32 1 (/.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 x -1/2) 1) (-.f32 (pow.f32 x -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x))) (+.f32 (pow.f32 x -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 1 (/.f32 1 x)) (+.f32 (pow.f32 x -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x -3) -1) (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x -3) -1) (+.f32 (pow.f32 x -2) (-.f32 1 (*.f32 (/.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x -2) -1) (+.f32 1 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x -2) -1) (-.f32 (/.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x -3) -1)) (neg.f32 (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x -2) -1)) (neg.f32 (+.f32 1 (/.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 x) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 (/.f32 1 x) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (/.f32 1 x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 (/.f32 1 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 (/.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (/.f32 1 x) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (neg.f32 (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 (/.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 (/.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (/.f32 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 x -2)) (/.f32 1 (cbrt.f32 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 x -1/2) (pow.f32 x -1/2) -1)))))

simplify65.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
459×log-prod_binary32
420×unswap-sqr_binary32
334×fma-neg_binary32
328×div-sub_binary32
251×associate-/r*_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0142999
1322870
21194768
35885765
Stop Event
1×node limit
Counts
68 → 90
Calls
Call 1
Inputs
(-.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(*.f32 2 (/.f32 1 (+.f32 (/.f32 1 x) -1)))
(*.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1)
(*.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (pow.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 -2 (/.f32 1 (+.f32 (neg.f32 (/.f32 1 x)) 1)))
(*.f32 (/.f32 1 (+.f32 (/.f32 1 x) -1)) 2)
(*.f32 (/.f32 2 (+.f32 (pow.f32 x -3) -1)) (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x))))
(*.f32 (/.f32 2 (+.f32 (pow.f32 x -2) -1)) (+.f32 1 (/.f32 1 x)))
(pow.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1)
(pow.f32 (pow.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 3) 1/3)
(pow.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3)
(pow.f32 (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)
(pow.f32 (-.f32 (/.f32 (/.f32 1 x) 2) 1/2) -1)
(sqrt.f32 (/.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2)))
(log.f32 (exp.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(cbrt.f32 (pow.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 3))
(expm1.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(log1p.f32 (expm1.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (log.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(-.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(*.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2))
(log.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(exp.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(+.f32 (/.f32 1 x) -1)
(+.f32 -1 (/.f32 1 x))
(*.f32 1 (+.f32 (/.f32 1 x) -1))
(*.f32 (+.f32 (/.f32 1 x) -1) 1)
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 x) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 x) -1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 x) -1)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 x) -1)) (sqrt.f32 (+.f32 (/.f32 1 x) -1)))
(*.f32 (+.f32 (pow.f32 x -3) -1) (/.f32 1 (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x)))))
(*.f32 (+.f32 (pow.f32 x -2) -1) (/.f32 1 (+.f32 1 (/.f32 1 x))))
(*.f32 (+.f32 (pow.f32 x -1/2) 1) (-.f32 (pow.f32 x -1/2) 1))
(/.f32 1 (/.f32 (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x))) (+.f32 (pow.f32 x -3) -1)))
(/.f32 1 (/.f32 (+.f32 1 (/.f32 1 x)) (+.f32 (pow.f32 x -2) -1)))
(/.f32 (+.f32 (pow.f32 x -3) -1) (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x))))
(/.f32 (+.f32 (pow.f32 x -3) -1) (+.f32 (pow.f32 x -2) (-.f32 1 (*.f32 (/.f32 1 x) -1))))
(/.f32 (+.f32 (pow.f32 x -2) -1) (+.f32 1 (/.f32 1 x)))
(/.f32 (+.f32 (pow.f32 x -2) -1) (-.f32 (/.f32 1 x) -1))
(/.f32 (neg.f32 (+.f32 (pow.f32 x -3) -1)) (neg.f32 (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x -2) -1)) (neg.f32 (+.f32 1 (/.f32 1 x))))
(pow.f32 (+.f32 (/.f32 1 x) -1) 1)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 x) -1) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 (/.f32 1 x) -1)) 3)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 x) -1)) 2)
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 x) -1) 2))
(log.f32 (exp.f32 (+.f32 (/.f32 1 x) -1)))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 x) -1) 3))
(expm1.f32 (neg.f32 (log.f32 x)))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (log.f32 (+.f32 (/.f32 1 x) -1)))
(fma.f32 1 (/.f32 1 x) -1)
(fma.f32 (cbrt.f32 (pow.f32 x -2)) (/.f32 1 (cbrt.f32 x)) -1)
(fma.f32 (pow.f32 x -1/2) (pow.f32 x -1/2) -1)
Outputs
(-.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(*.f32 2 (/.f32 1 (+.f32 (/.f32 1 x) -1)))
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(*.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(*.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1)
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(*.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (pow.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2))
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(*.f32 (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(*.f32 -2 (/.f32 1 (+.f32 (neg.f32 (/.f32 1 x)) 1)))
(/.f32 -2 (+.f32 1 (/.f32 -1 x)))
(*.f32 (/.f32 1 (+.f32 (/.f32 1 x) -1)) 2)
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(*.f32 (/.f32 2 (+.f32 (pow.f32 x -3) -1)) (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x))))
(*.f32 (/.f32 2 (+.f32 -1 (pow.f32 x -3))) (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x))))
(*.f32 (/.f32 2 (+.f32 -1 (pow.f32 x -3))) (+.f32 1 (+.f32 (/.f32 1 x) (pow.f32 x -2))))
(/.f32 (fma.f32 2 (pow.f32 x -2) (+.f32 2 (/.f32 2 x))) (+.f32 -1 (pow.f32 x -3)))
(*.f32 (/.f32 2 (+.f32 (pow.f32 x -2) -1)) (+.f32 1 (/.f32 1 x)))
(*.f32 (+.f32 1 (/.f32 1 x)) (/.f32 2 (+.f32 -1 (pow.f32 x -2))))
(/.f32 (+.f32 2 (/.f32 2 x)) (+.f32 -1 (pow.f32 x -2)))
(pow.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1)
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(pow.f32 (pow.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 3) 1/3)
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(pow.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3)
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(pow.f32 (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(pow.f32 (-.f32 (/.f32 (/.f32 1 x) 2) 1/2) -1)
(/.f32 1 (+.f32 (/.f32 1 (*.f32 2 x)) -1/2))
(/.f32 1 (+.f32 (/.f32 1/2 x) -1/2))
(sqrt.f32 (/.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2)))
(fabs.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log.f32 (exp.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(cbrt.f32 (pow.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 3))
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(expm1.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(log1p.f32 (expm1.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(exp.f32 (log.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 1 (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 0)
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(-.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) 1/3)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(+.f32 (/.f32 1 x) -1)
(+.f32 -1 (/.f32 1 x))
(+.f32 (/.f32 1 x) -1)
(*.f32 1 (+.f32 (/.f32 1 x) -1))
(+.f32 (/.f32 1 x) -1)
(*.f32 (+.f32 (/.f32 1 x) -1) 1)
(+.f32 (/.f32 1 x) -1)
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 x) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 x) -1)) 2))
(+.f32 (/.f32 1 x) -1)
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 x) -1)))
(+.f32 (/.f32 1 x) -1)
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 x) -1)) (sqrt.f32 (+.f32 (/.f32 1 x) -1)))
(+.f32 (/.f32 1 x) -1)
(*.f32 (+.f32 (pow.f32 x -3) -1) (/.f32 1 (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x)))))
(*.f32 (+.f32 -1 (pow.f32 x -3)) (/.f32 1 (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x)))))
(/.f32 (+.f32 -1 (pow.f32 x -3)) (+.f32 1 (+.f32 (/.f32 1 x) (pow.f32 x -2))))
(/.f32 (+.f32 -1 (pow.f32 x -3)) (-.f32 (/.f32 1 x) (-.f32 -1 (pow.f32 x -2))))
(*.f32 (+.f32 (pow.f32 x -2) -1) (/.f32 1 (+.f32 1 (/.f32 1 x))))
(*.f32 (+.f32 -1 (pow.f32 x -2)) (/.f32 1 (+.f32 1 (/.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 x -2)) (+.f32 1 (/.f32 1 x)))
(/.f32 (-.f32 1 (pow.f32 x -2)) (+.f32 -1 (/.f32 -1 x)))
(*.f32 (+.f32 (pow.f32 x -1/2) 1) (-.f32 (pow.f32 x -1/2) 1))
(+.f32 (/.f32 1 x) -1)
(/.f32 1 (/.f32 (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x))) (+.f32 (pow.f32 x -3) -1)))
(*.f32 (+.f32 -1 (pow.f32 x -3)) (/.f32 1 (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x)))))
(/.f32 (+.f32 -1 (pow.f32 x -3)) (+.f32 1 (+.f32 (/.f32 1 x) (pow.f32 x -2))))
(/.f32 (+.f32 -1 (pow.f32 x -3)) (-.f32 (/.f32 1 x) (-.f32 -1 (pow.f32 x -2))))
(/.f32 1 (/.f32 (+.f32 1 (/.f32 1 x)) (+.f32 (pow.f32 x -2) -1)))
(*.f32 (+.f32 -1 (pow.f32 x -2)) (/.f32 1 (+.f32 1 (/.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 x -2)) (+.f32 1 (/.f32 1 x)))
(/.f32 (-.f32 1 (pow.f32 x -2)) (+.f32 -1 (/.f32 -1 x)))
(/.f32 (+.f32 (pow.f32 x -3) -1) (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x))))
(*.f32 (+.f32 -1 (pow.f32 x -3)) (/.f32 1 (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x)))))
(/.f32 (+.f32 -1 (pow.f32 x -3)) (+.f32 1 (+.f32 (/.f32 1 x) (pow.f32 x -2))))
(/.f32 (+.f32 -1 (pow.f32 x -3)) (-.f32 (/.f32 1 x) (-.f32 -1 (pow.f32 x -2))))
(/.f32 (+.f32 (pow.f32 x -3) -1) (+.f32 (pow.f32 x -2) (-.f32 1 (*.f32 (/.f32 1 x) -1))))
(*.f32 (+.f32 -1 (pow.f32 x -3)) (/.f32 1 (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x)))))
(/.f32 (+.f32 -1 (pow.f32 x -3)) (+.f32 1 (+.f32 (/.f32 1 x) (pow.f32 x -2))))
(/.f32 (+.f32 -1 (pow.f32 x -3)) (-.f32 (/.f32 1 x) (-.f32 -1 (pow.f32 x -2))))
(/.f32 (+.f32 (pow.f32 x -2) -1) (+.f32 1 (/.f32 1 x)))
(*.f32 (+.f32 -1 (pow.f32 x -2)) (/.f32 1 (+.f32 1 (/.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 x -2)) (+.f32 1 (/.f32 1 x)))
(/.f32 (-.f32 1 (pow.f32 x -2)) (+.f32 -1 (/.f32 -1 x)))
(/.f32 (+.f32 (pow.f32 x -2) -1) (-.f32 (/.f32 1 x) -1))
(*.f32 (+.f32 -1 (pow.f32 x -2)) (/.f32 1 (+.f32 1 (/.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 x -2)) (+.f32 1 (/.f32 1 x)))
(/.f32 (-.f32 1 (pow.f32 x -2)) (+.f32 -1 (/.f32 -1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x -3) -1)) (neg.f32 (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x)))))
(*.f32 (+.f32 -1 (pow.f32 x -3)) (/.f32 1 (+.f32 (pow.f32 x -2) (+.f32 1 (/.f32 1 x)))))
(/.f32 (+.f32 -1 (pow.f32 x -3)) (+.f32 1 (+.f32 (/.f32 1 x) (pow.f32 x -2))))
(/.f32 (+.f32 -1 (pow.f32 x -3)) (-.f32 (/.f32 1 x) (-.f32 -1 (pow.f32 x -2))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x -2) -1)) (neg.f32 (+.f32 1 (/.f32 1 x))))
(*.f32 (+.f32 -1 (pow.f32 x -2)) (/.f32 1 (+.f32 1 (/.f32 1 x))))
(/.f32 (+.f32 -1 (pow.f32 x -2)) (+.f32 1 (/.f32 1 x)))
(/.f32 (-.f32 1 (pow.f32 x -2)) (+.f32 -1 (/.f32 -1 x)))
(pow.f32 (+.f32 (/.f32 1 x) -1) 1)
(+.f32 (/.f32 1 x) -1)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 x) -1) 3) 1/3)
(+.f32 (/.f32 1 x) -1)
(pow.f32 (cbrt.f32 (+.f32 (/.f32 1 x) -1)) 3)
(+.f32 (/.f32 1 x) -1)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 x) -1)) 2)
(+.f32 (/.f32 1 x) -1)
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 x) -1) 2))
(+.f32 (/.f32 1 x) -1)
(log.f32 (exp.f32 (+.f32 (/.f32 1 x) -1)))
(+.f32 (/.f32 1 x) -1)
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 x) -1) 3))
(+.f32 (/.f32 1 x) -1)
(expm1.f32 (neg.f32 (log.f32 x)))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 1 x) -1)))
(+.f32 (/.f32 1 x) -1)
(exp.f32 (log.f32 (+.f32 (/.f32 1 x) -1)))
(+.f32 (/.f32 1 x) -1)
(fma.f32 1 (/.f32 1 x) -1)
(+.f32 (/.f32 1 x) -1)
(fma.f32 (cbrt.f32 (pow.f32 x -2)) (/.f32 1 (cbrt.f32 x)) -1)
(+.f32 -1 (/.f32 (cbrt.f32 (pow.f32 x -2)) (cbrt.f32 x)))
(fma.f32 (pow.f32 x -1/2) (pow.f32 x -1/2) -1)
(+.f32 (/.f32 1 x) -1)

localize60.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f32 (*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (+.f32 1 x)))
✓0.1b
(-.f32 (/.f32 1 x) x)
✓0.1b
(*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (+.f32 1 x))
✓0.2b
(/.f32 2 (-.f32 (/.f32 1 x) x))
Compiler

Compiled 60 to 44 computations (26.7% saved)

series35.0ms (0.4%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f32 2 (-.f32 (/.f32 1 x) x))
0.0ms
x
@0
(log1p.f32 (*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (+.f32 1 x)))
0.0ms
x
@inf
(/.f32 2 (-.f32 (/.f32 1 x) x))
0.0ms
x
@0
(/.f32 2 (-.f32 (/.f32 1 x) x))
0.0ms
x
@inf
(log1p.f32 (*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (+.f32 1 x)))
Compiler

Compiled 2720 to 2245 computations (17.5% saved)

rewrite80.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
951×prod-diff_binary32
505×log-prod_binary32
363×fma-def_binary32
194×pow1/3_binary32
193×expm1-udef_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01051
123051
2324847
Stop Event
1×node limit
Counts
4 → 250
Calls
Call 1
Inputs
(/.f32 2 (-.f32 (/.f32 1 x) x))
(*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (+.f32 1 x))
(-.f32 (/.f32 1 x) x)
(log1p.f32 (*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (+.f32 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 2 (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 1 (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 2 (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) (pow.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 2) (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 2) (*.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) (*.f32 (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (/.f32 1 (neg.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (-.f32 (pow.f32 x -3) (pow.f32 x 3))) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (-.f32 (pow.f32 x -2) (*.f32 x x))) (+.f32 x (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (-.f32 (/.f32 1 x) x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (*.f32 (-.f32 (/.f32 1 x) x) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 4 (pow.f32 (-.f32 (/.f32 1 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (*.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) (/.f32 2 (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (-.f32 (/.f32 1 x) x) (+.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (/.f32 1 x) x) (fma.f32 2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 x) (*.f32 (-.f32 (/.f32 1 x) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 x 3)) (*.f32 (*.f32 (-.f32 (/.f32 1 x) x) 1/2) (-.f32 (fma.f32 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (*.f32 x x)) (*.f32 (*.f32 (-.f32 (/.f32 1 x) x) 1/2) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (fma.f32 2 x 2)) (neg.f32 (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (+.f32 1 (pow.f32 x 3))) (*.f32 (-.f32 (/.f32 1 x) x) (-.f32 (fma.f32 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -2 (+.f32 1 (pow.f32 x 3))) (*.f32 (neg.f32 (-.f32 (/.f32 1 x) x)) (-.f32 (fma.f32 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (-.f32 1 (*.f32 x x))) (*.f32 (-.f32 (/.f32 1 x) x) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -2 (-.f32 1 (*.f32 x x))) (*.f32 (neg.f32 (-.f32 (/.f32 1 x) x)) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) 2) (*.f32 (-.f32 (fma.f32 x x 1) x) (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 (*.f32 x x)) 2) (*.f32 (-.f32 1 x) (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) 1) (*.f32 (-.f32 (fma.f32 x x 1) x) (*.f32 (-.f32 (/.f32 1 x) x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 (*.f32 x x)) 1) (*.f32 (-.f32 1 x) (*.f32 (-.f32 (/.f32 1 x) x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) -2) (*.f32 (-.f32 (fma.f32 x x 1) x) (neg.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 (*.f32 x x)) -2) (*.f32 (-.f32 1 x) (neg.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) 3) (pow.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) 3)) (+.f32 (/.f32 4 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (-.f32 (*.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x))) (*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (/.f32 4 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (*.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)))) (-.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (fma.f32 2 x 2) 1) (-.f32 (/.f32 1 x) x))))) (#(struct:change #<rule 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simplify152.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
490×cancel-sign-sub-inv_binary32
456×fma-neg_binary32
314×div-sub_binary32
258×associate-*l*_binary32
225×associate-*r*_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04894858
111704076
248503870
Stop Event
1×node limit
Counts
250 → 291
Calls
Call 1
Inputs
(+.f32 0 (/.f32 2 (-.f32 (/.f32 1 x) x)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)))) 1)
(*.f32 2 (/.f32 1 (-.f32 (/.f32 1 x) x)))
(*.f32 2 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) 1))
(*.f32 1 (/.f32 2 (-.f32 (/.f32 1 x) x)))
(*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) 1)
(*.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) (pow.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 2) (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 2) (*.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 1))
(*.f32 (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))
(*.f32 (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) (*.f32 (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 1))
(*.f32 -2 (/.f32 1 (neg.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) 2)
(*.f32 (/.f32 2 (-.f32 (pow.f32 x -3) (pow.f32 x 3))) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))
(*.f32 (/.f32 2 (-.f32 (pow.f32 x -2) (*.f32 x x))) (+.f32 x (/.f32 1 x)))
(pow.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) 1)
(pow.f32 (pow.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) 3) 1/3)
(pow.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 3)
(pow.f32 (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 2)
(pow.f32 (*.f32 (-.f32 (/.f32 1 x) x) 1/2) -1)
(pow.f32 (/.f32 (*.f32 (-.f32 (/.f32 1 x) x) 1/2) 1) -1)
(sqrt.f32 (/.f32 4 (pow.f32 (-.f32 (/.f32 1 x) x) 2)))
(log.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(cbrt.f32 (pow.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) 3))
(expm1.f32 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))
(log1p.f32 (expm1.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))
(exp.f32 (log.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))
(exp.f32 (*.f32 (log.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 1))
(+.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)))
(+.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (*.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) 1))
(+.f32 0 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(+.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) (/.f32 2 (-.f32 (/.f32 1 x) x)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(-.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1)
(/.f32 2 (/.f32 (-.f32 (/.f32 1 x) x) (+.f32 1 x)))
(/.f32 1 (/.f32 (-.f32 (/.f32 1 x) x) (fma.f32 2 x 2)))
(/.f32 (+.f32 1 x) (*.f32 (-.f32 (/.f32 1 x) x) 1/2))
(/.f32 (+.f32 1 (pow.f32 x 3)) (*.f32 (*.f32 (-.f32 (/.f32 1 x) x) 1/2) (-.f32 (fma.f32 x x 1) x)))
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(fma.f32 1 (neg.f32 x) (/.f32 1 x))
(fma.f32 (/.f32 1 x) 1 (neg.f32 x))
(fma.f32 (/.f32 1 x) 1 (*.f32 (neg.f32 x) 1))
(fma.f32 (-.f32 (/.f32 1 x) x) 1 (fma.f32 (neg.f32 x) 1 x))
(fma.f32 (-.f32 (/.f32 1 x) x) 1 (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (-.f32 (/.f32 1 x) x) 1 (+.f32 (neg.f32 x) x))
(fma.f32 (/.f32 1 (cbrt.f32 x)) (cbrt.f32 (pow.f32 x -2)) (neg.f32 x))
(fma.f32 (/.f32 1 (cbrt.f32 x)) (cbrt.f32 (pow.f32 x -2)) (*.f32 (neg.f32 x) 1))
(fma.f32 (cbrt.f32 (pow.f32 x -2)) (/.f32 1 (cbrt.f32 x)) (neg.f32 x))
(fma.f32 (cbrt.f32 (pow.f32 x -2)) (/.f32 1 (cbrt.f32 x)) (*.f32 (neg.f32 x) 1))
(fma.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (fma.f32 (neg.f32 x) 1 x))
(fma.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (+.f32 (neg.f32 x) x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (fma.f32 (neg.f32 x) 1 x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (+.f32 (neg.f32 x) x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (neg.f32 (cbrt.f32 x)) (/.f32 1 x))
(fma.f32 (pow.f32 x -1/2) (pow.f32 x -1/2) (neg.f32 x))
(fma.f32 (pow.f32 x -1/2) (pow.f32 x -1/2) (*.f32 (neg.f32 x) 1))
(fma.f32 (sqrt.f32 (-.f32 (/.f32 1 x) x)) (sqrt.f32 (-.f32 (/.f32 1 x) x)) (fma.f32 (neg.f32 x) 1 x))
(fma.f32 (sqrt.f32 (-.f32 (/.f32 1 x) x)) (sqrt.f32 (-.f32 (/.f32 1 x) x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (sqrt.f32 (-.f32 (/.f32 1 x) x)) (sqrt.f32 (-.f32 (/.f32 1 x) x)) (+.f32 (neg.f32 x) x))
(fma.f32 (sqrt.f32 x) (neg.f32 (sqrt.f32 x)) (/.f32 1 x))
(fma.f32 -1 x (/.f32 1 x))
(fma.f32 -1 (/.f32 1 (neg.f32 x)) (neg.f32 x))
(fma.f32 -1 (/.f32 1 (neg.f32 x)) (*.f32 (neg.f32 x) 1))
(fma.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (+.f32 (pow.f32 x -2) (fma.f32 x x 1))) (fma.f32 (neg.f32 x) 1 x))
(fma.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (+.f32 (pow.f32 x -2) (fma.f32 x x 1))) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (+.f32 (pow.f32 x -2) (fma.f32 x x 1))) (+.f32 (neg.f32 x) x))
(fma.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (/.f32 1 (+.f32 x (/.f32 1 x))) (fma.f32 (neg.f32 x) 1 x))
(fma.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (/.f32 1 (+.f32 x (/.f32 1 x))) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (/.f32 1 (+.f32 x (/.f32 1 x))) (+.f32 (neg.f32 x) x))
(fma.f32 (*.f32 (cbrt.f32 (neg.f32 x)) (cbrt.f32 (neg.f32 x))) (cbrt.f32 (neg.f32 x)) (/.f32 1 x))
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (/.f32 1 x))
(fma.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x) (/.f32 1 x))
(fma.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 1 (cbrt.f32 x)) (neg.f32 x))
(fma.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 1 (cbrt.f32 x)) (*.f32 (neg.f32 x) 1))
(fma.f32 (+.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (fma.f32 (neg.f32 x) 1 x))
(fma.f32 (+.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (+.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (+.f32 (neg.f32 x) x))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) (/.f32 1 x))
(+.f32 0 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) (log.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 2) (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) 1)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 2))) (log.f32 (-.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(*.f32 1 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(*.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1)
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2) (cbrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (sqrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(pow.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 2))
(log.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(exp.f32 (log.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 1))
Outputs
(+.f32 0 (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)))) 1)
(/.f32 2 (-.f32 (/.f32 1 x) x))
(*.f32 2 (/.f32 1 (-.f32 (/.f32 1 x) x)))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(*.f32 2 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) 1))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(*.f32 1 (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) 1)
(/.f32 2 (-.f32 (/.f32 1 x) x))
(*.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) (pow.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 2))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 2) (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 2) (*.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 1))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(*.f32 (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(*.f32 (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) (*.f32 (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 1))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(*.f32 -2 (/.f32 1 (neg.f32 (-.f32 (/.f32 1 x) x))))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) 2)
(/.f32 2 (-.f32 (/.f32 1 x) x))
(*.f32 (/.f32 2 (-.f32 (pow.f32 x -3) (pow.f32 x 3))) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))
(/.f32 (*.f32 2 (+.f32 (pow.f32 x -2) (fma.f32 x x 1))) (-.f32 (pow.f32 x -3) (pow.f32 x 3)))
(*.f32 (/.f32 2 (-.f32 (pow.f32 x -2) (*.f32 x x))) (+.f32 x (/.f32 1 x)))
(pow.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) 1)
(/.f32 2 (-.f32 (/.f32 1 x) x))
(pow.f32 (pow.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) 3) 1/3)
(/.f32 2 (-.f32 (/.f32 1 x) x))
(pow.f32 (cbrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 3)
(/.f32 2 (-.f32 (/.f32 1 x) x))
(pow.f32 (sqrt.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 2)
(/.f32 2 (-.f32 (/.f32 1 x) x))
(pow.f32 (*.f32 (-.f32 (/.f32 1 x) x) 1/2) -1)
(/.f32 2 (-.f32 (/.f32 1 x) x))
(pow.f32 (/.f32 (*.f32 (-.f32 (/.f32 1 x) x) 1/2) 1) -1)
(/.f32 2 (-.f32 (/.f32 1 x) x))
(sqrt.f32 (/.f32 4 (pow.f32 (-.f32 (/.f32 1 x) x) 2)))
(log.f32 (exp.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(cbrt.f32 (pow.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) 3))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(expm1.f32 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(log1p.f32 (expm1.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(exp.f32 (log.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(exp.f32 (*.f32 (log.f32 (/.f32 2 (-.f32 (/.f32 1 x) x))) 1))
(/.f32 2 (-.f32 (/.f32 1 x) x))
(+.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)))
(+.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 x (*.f32 (-.f32 (/.f32 1 x) x) 1/2)))
(/.f32 (+.f32 1 x) (/.f32 (+.f32 x (/.f32 -1 x)) -2))
(/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))
(+.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (*.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) 1))
(+.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 x (*.f32 (-.f32 (/.f32 1 x) x) 1/2)))
(/.f32 (+.f32 1 x) (/.f32 (+.f32 x (/.f32 -1 x)) -2))
(/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))
(+.f32 0 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(+.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 x (*.f32 (-.f32 (/.f32 1 x) x) 1/2)))
(/.f32 (+.f32 1 x) (/.f32 (+.f32 x (/.f32 -1 x)) -2))
(/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))
(+.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) (/.f32 2 (-.f32 (/.f32 1 x) x)))
(+.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 x (*.f32 (-.f32 (/.f32 1 x) x) 1/2)))
(/.f32 (+.f32 1 x) (/.f32 (+.f32 x (/.f32 -1 x)) -2))
(/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(-.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1)
(+.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 x (*.f32 (-.f32 (/.f32 1 x) x) 1/2)))
(/.f32 (+.f32 1 x) (/.f32 (+.f32 x (/.f32 -1 x)) -2))
(/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))
(/.f32 2 (/.f32 (-.f32 (/.f32 1 x) x) (+.f32 1 x)))
(+.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 x (*.f32 (-.f32 (/.f32 1 x) x) 1/2)))
(/.f32 (+.f32 1 x) (/.f32 (+.f32 x (/.f32 -1 x)) -2))
(/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))
(/.f32 1 (/.f32 (-.f32 (/.f32 1 x) x) (fma.f32 2 x 2)))
(+.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 x (*.f32 (-.f32 (/.f32 1 x) x) 1/2)))
(/.f32 (+.f32 1 x) (/.f32 (+.f32 x (/.f32 -1 x)) -2))
(/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))
(/.f32 (+.f32 1 x) (*.f32 (-.f32 (/.f32 1 x) x) 1/2))
(/.f32 (/.f32 (+.f32 1 x) 1/2) (-.f32 (/.f32 1 x) x))
(/.f32 (+.f32 1 (pow.f32 x 3)) (*.f32 (*.f32 (-.f32 (/.f32 1 x) x) 1/2) (-.f32 (fma.f32 x x 1) x)))
(/.f32 (/.f32 (+.f32 1 (pow.f32 x 3)) (-.f32 (fma.f32 x x 1) x)) (*.f32 (-.f32 (/.f32 1 x) x) 1/2))
(*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 (+.f32 1 (pow.f32 x 3)) (-.f32 (fma.f32 x x 1) x)))
(*.f32 (/.f32 (+.f32 1 (pow.f32 x 3)) (-.f32 (/.f32 1 x) x)) (/.f32 2 (-.f32 (fma.f32 x x 1) x)))
(/.f32 (-.f32 1 (*.f32 x x)) (*.f32 (*.f32 (-.f32 (/.f32 1 x) x) 1/2) (-.f32 1 x)))
(/.f32 (-.f32 1 (*.f32 x x)) (*.f32 (-.f32 (/.f32 1 x) x) (*.f32 1/2 (-.f32 1 x))))
(*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 (-.f32 1 (*.f32 x x)) (-.f32 1 x)))
(/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))
(+.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 x (*.f32 (-.f32 (/.f32 1 x) x) 1/2)))
(/.f32 (+.f32 1 x) (/.f32 (+.f32 x (/.f32 -1 x)) -2))
(/.f32 (neg.f32 (fma.f32 2 x 2)) (neg.f32 (-.f32 (/.f32 1 x) x)))
(+.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 x (*.f32 (-.f32 (/.f32 1 x) x) 1/2)))
(/.f32 (+.f32 1 x) (/.f32 (+.f32 x (/.f32 -1 x)) -2))
(/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))
(/.f32 (*.f32 2 (+.f32 1 (pow.f32 x 3))) (*.f32 (-.f32 (/.f32 1 x) x) (-.f32 (fma.f32 x x 1) x)))
(/.f32 (/.f32 (+.f32 1 (pow.f32 x 3)) (-.f32 (fma.f32 x x 1) x)) (*.f32 (-.f32 (/.f32 1 x) x) 1/2))
(*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 (+.f32 1 (pow.f32 x 3)) (-.f32 (fma.f32 x x 1) x)))
(*.f32 (/.f32 (+.f32 1 (pow.f32 x 3)) (-.f32 (/.f32 1 x) x)) (/.f32 2 (-.f32 (fma.f32 x x 1) x)))
(/.f32 (*.f32 -2 (+.f32 1 (pow.f32 x 3))) (*.f32 (neg.f32 (-.f32 (/.f32 1 x) x)) (-.f32 (fma.f32 x x 1) x)))
(/.f32 (/.f32 (+.f32 1 (pow.f32 x 3)) (-.f32 (fma.f32 x x 1) x)) (*.f32 (-.f32 (/.f32 1 x) x) 1/2))
(*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (/.f32 (+.f32 1 (pow.f32 x 3)) (-.f32 (fma.f32 x x 1) x)))
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(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 1 (cbrt.f32 x)) (neg.f32 x))
(-.f32 (/.f32 (/.f32 1 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2)) x)
(fma.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 1 (cbrt.f32 x)) (*.f32 (neg.f32 x) 1))
(fma.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 1 (cbrt.f32 x)) (neg.f32 x))
(-.f32 (/.f32 (/.f32 1 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2)) x)
(fma.f32 (+.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (fma.f32 (neg.f32 x) 1 x))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 x -1/2)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (fma.f32 -1 x x))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 x -1/2)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (-.f32 x x))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 x -1/2)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) 0)
(fma.f32 (+.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 x -1/2)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (fma.f32 -1 x x))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 x -1/2)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (-.f32 x x))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 x -1/2)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) 0)
(fma.f32 (+.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (+.f32 (neg.f32 x) x))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 x -1/2)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (fma.f32 -1 x x))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 x -1/2)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (-.f32 x x))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 x -1/2)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) 0)
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(+.f32 0 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) (log.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(+.f32 (log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(-.f32 (log1p.f32 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 2) (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 3)) (log1p.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 2) (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) 1)
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 2))) (log.f32 (-.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 2))) (log1p.f32 (/.f32 (neg.f32 (fma.f32 2 x 2)) (-.f32 (/.f32 1 x) x))))
(*.f32 1 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(*.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1)
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2))
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2) (cbrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (sqrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(pow.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1)
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 3) 1/3)
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 3)
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2)
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 2))
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(log.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 3))
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(exp.f32 (log.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 1))
(log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f32 -1/2 (/.f32 1/2 x))
✓0.1b
(log1p.f32 (sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
✓0.3b
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
✓11.7b
(sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
Compiler

Compiled 48 to 41 computations (14.6% saved)

series31.0ms (0.3%)

Counts
4 → 0
Calls

12 calls:

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

Compiled 2530 to 2150 computations (15% saved)

rewrite72.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
606×unpow-prod-down_binary32
407×log-prod_binary32
311×exp-prod_binary32
254×pow2_binary32
217×pow-prod-down_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01039
122039
2255839
Stop Event
1×node limit
Counts
4 → 199
Calls
Call 1
Inputs
(sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(log1p.f32 (sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(+.f32 -1/2 (/.f32 1/2 x))
Outputs
((#(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 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1) 1)))) (#(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 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) (pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -4)) (pow.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 5/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)) (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/3) (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2)) -2) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) -1) (pow.f32 (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2)) -1) (pow.f32 (/.f32 1 (-.f32 -1/2 (/.f32 1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3/2) 1/2) (sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 5/6) 1/2) (sqrt.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) 4) 1/3) (cbrt.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -5/2) 1/3) (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))) 2) 3) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))) 3) (pow.f32 (sqrt.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) -2) (pow.f32 (sqrt.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1/2) (*.f32 -2 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2)))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1/4 (-.f32 -1/2 (/.f32 1/2 x))) (/.f32 (pow.f32 (*.f32 x 2) -2) (-.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 -1/2 (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2) (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) (pow.f32 (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2)) (/.f32 1 (-.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2)) (pow.f32 (/.f32 1 (-.f32 -1/2 (/.f32 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/3) (+.f32 -1/2 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (*.f32 (+.f32 -1/2 (/.f32 1/2 x)) (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 2) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8)) (neg.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2))) (neg.f32 (-.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 1/4 (pow.f32 x -2) -1/4) (-.f32 (/.f32 1/2 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4) (fma.f32 1/8 (pow.f32 x -3) -1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 -1/2 (/.f32 1/2 x)) (-.f32 1/4 (pow.f32 (*.f32 x 2) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))))) (sqrt.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1/2 (/.f32 1 (neg.f32 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1/2 (/.f32 1 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1/2 x) 1 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (/.f32 1/2 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (/.f32 1/2 x)) (cbrt.f32 (pow.f32 (*.f32 x 2) -2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 (*.f32 x 2) -2)) (cbrt.f32 (/.f32 1/2 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 x) 1/2 -1/2)))))

simplify128.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
459×fma-neg_binary32
456×distribute-rgt-in_binary32
388×sqr-pow_binary32
324×cancel-sign-sub-inv_binary32
250×log-prod_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04633051
110662932
231242895
Stop Event
1×node limit
Counts
199 → 265
Calls
Call 1
Inputs
(+.f32 0 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(-.f32 (+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1) 1)
(*.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1)
(*.f32 1 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) (pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) -2))
(*.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2))
(*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -4)) (pow.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 5/6) 1/3))
(*.f32 (sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)) (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3/2) 1/2))
(*.f32 (pow.f32 1 1/3) (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2)) -2) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) -2))
(*.f32 (pow.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) -1) (pow.f32 (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4)) -1))
(*.f32 (pow.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2)) -1) (pow.f32 (/.f32 1 (-.f32 -1/2 (/.f32 1/2 x))) -1))
(*.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3/2) 1/2) (sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 5/6) 1/2) (sqrt.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) 4) 1/3) (cbrt.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))))
(*.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -5/2) 1/3) (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))) 2) 3) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (pow.f32 (sqrt.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))) 3) (pow.f32 (sqrt.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))) 3))
(*.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) -2) (pow.f32 (sqrt.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) -2))
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1/2)
(pow.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1)
(pow.f32 (exp.f32 1/2) (*.f32 -2 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4) 1/4)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -6) 1/6)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3) 1/3)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2) -1/2)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3) -1/3)
(pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) 3/2)
(pow.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3)
(pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -3)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) 2)
(pow.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2)
(pow.f32 (exp.f32 1) (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(pow.f32 (exp.f32 -1) (log.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))))) 2)) (cbrt.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))))))
(pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))) (sqrt.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))))))
(fabs.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))
(log.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))
(cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3))
(expm1.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(log1p.f32 (expm1.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(exp.f32 (*.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1))
(exp.f32 (*.f32 (*.f32 -2 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1/2))
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1))
(exp.f32 (*.f32 (*.f32 -3 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1/3))
(exp.f32 (*.f32 (log.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))) 3))
(exp.f32 (*.f32 (*.f32 -1/2 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) -2))
(exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))) 1) -1))
(exp.f32 (*.f32 (*.f32 (*.f32 -2 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1) 1/2))
(exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1) 1))
(exp.f32 (*.f32 (*.f32 (*.f32 -2 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1/2) 1))
(exp.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1) 1))
(fma.f32 1 (+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1)) 2) (cbrt.f32 (+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1)) -1)
(fma.f32 (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)) (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)) -1)
(+.f32 0 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 1)
(*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1)
(*.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -4))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) 4) 1/2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) (pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 4) -1))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -4) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2))
(*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3/2))
(*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3/2) -1))
(*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3/2) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))
(*.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 5/6) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (pow.f32 1 1/3) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(*.f32 (pow.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) -2) (pow.f32 (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4)) -2))
(*.f32 (pow.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2)) -2) (pow.f32 (/.f32 1 (-.f32 -1/2 (/.f32 1/2 x))) -2))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) 4) 1/2) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) 5) 1/2) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -5) 1/3) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) 4) 2) 1/3) (cbrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 4) -1) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2))
(*.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3/2) -1) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 5) -1) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2)) 2) 3) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2))
(/.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2))
(sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4))
(log.f32 (exp.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -6))
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(exp.f32 (*.f32 -2 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(exp.f32 (*.f32 (*.f32 -2 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1))
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 2))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4)) 1/2))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -6)) 1/3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2)) -1))
(exp.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2)) 3))
(exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))) 1) -2))
(exp.f32 (*.f32 (*.f32 (*.f32 -2 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1) 2))
(exp.f32 (*.f32 (*.f32 (*.f32 -2 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1/2) 2))
(exp.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1) 2))
(+.f32 0 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1)) 2)) (log.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))))
(+.f32 (log.f32 (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))) (log.f32 (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) 1)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) (log.f32 (-.f32 1 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))
(*.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) 1)
(*.f32 1 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))) 2) (cbrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))) (sqrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))
(*.f32 (pow.f32 1 1/3) (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (*.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) (cbrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) 2) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) 2) 3) (cbrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) 3))
(pow.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) 1)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))) 2)
(pow.f32 (exp.f32 1) (log.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))) (sqrt.f32 (log.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) 2))
(log.f32 (+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))
(exp.f32 (log.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))) 1))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) 3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))) 1) 1))
(-.f32 (exp.f32 (log1p.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1)
(-.f32 (/.f32 1/4 (-.f32 -1/2 (/.f32 1/2 x))) (/.f32 (pow.f32 (*.f32 x 2) -2) (-.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (+.f32 -1/2 (/.f32 1/2 x)) 1)
(*.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2) (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4)))
(*.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) (pow.f32 (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4)) 1))
(*.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2)) (/.f32 1 (-.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2)) (pow.f32 (/.f32 1 (-.f32 -1/2 (/.f32 1/2 x))) 1))
(*.f32 (pow.f32 1 1/3) (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (*.f32 (+.f32 -1/2 (/.f32 1/2 x)) (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 2) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 2) 3) (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3))
(/.f32 1 (/.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4) (fma.f32 1/8 (pow.f32 x -3) -1/8)))
(/.f32 1 (/.f32 (-.f32 -1/2 (/.f32 1/2 x)) (-.f32 1/4 (pow.f32 (*.f32 x 2) -2))))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) (fma.f32 1/4 (pow.f32 x -2) (-.f32 1/4 (/.f32 -1/4 x))))
(/.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2)) (-.f32 -1/2 (/.f32 1/2 x)))
(/.f32 (neg.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8)) (neg.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4)))
(/.f32 (neg.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2))) (neg.f32 (-.f32 -1/2 (/.f32 1/2 x))))
(/.f32 (fma.f32 1/4 (pow.f32 x -2) -1/4) (-.f32 (/.f32 1/2 x) -1/2))
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 1)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2) 1/2)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 3)
(pow.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2)
(pow.f32 (exp.f32 1) (log.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(pow.f32 (/.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4) (fma.f32 1/8 (pow.f32 x -3) -1/8)) -1)
(pow.f32 (/.f32 (-.f32 -1/2 (/.f32 1/2 x)) (-.f32 1/4 (pow.f32 (*.f32 x 2) -2))) -1)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))))) (sqrt.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2))
(log.f32 (exp.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(log1p.f32 (expm1.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(exp.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(exp.f32 (*.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))) 1) 1))
(fma.f32 -1/2 (/.f32 1 (neg.f32 x)) -1/2)
(fma.f32 1/2 (/.f32 1 x) -1/2)
(fma.f32 (/.f32 1/2 x) 1 -1/2)
(fma.f32 1 (/.f32 1/2 x) -1/2)
(fma.f32 (cbrt.f32 (/.f32 1/2 x)) (cbrt.f32 (pow.f32 (*.f32 x 2) -2)) -1/2)
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 x 2) -2)) (cbrt.f32 (/.f32 1/2 x)) -1/2)
(fma.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)) -1/2)
(fma.f32 (/.f32 1 x) 1/2 -1/2)
Outputs
(+.f32 0 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(-.f32 (+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1) 1)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 1 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) (pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) -2))
(*.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2))
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -4)) (pow.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 5/6) 1/3))
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(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 8)) (cbrt.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 5/2)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 2) 3) (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 -1/2 (/.f32 1/2 x))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3))
(+.f32 -1/2 (/.f32 1/2 x))
(/.f32 1 (/.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4) (fma.f32 1/8 (pow.f32 x -3) -1/8)))
(/.f32 1 (/.f32 (fma.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/2 x) 1/2) 1/4) (fma.f32 1/8 (pow.f32 x -3) -1/8)))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) (fma.f32 (/.f32 1/2 x) (+.f32 1/2 (/.f32 1/2 x)) 1/4))
(/.f32 1 (/.f32 (-.f32 -1/2 (/.f32 1/2 x)) (-.f32 1/4 (pow.f32 (*.f32 x 2) -2))))
(/.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2)) (-.f32 -1/2 (/.f32 1/2 x)))
(/.f32 (+.f32 (pow.f32 (*.f32 x 2) -2) -1/4) (+.f32 1/2 (/.f32 1/2 x)))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4))
(/.f32 1 (/.f32 (fma.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/2 x) 1/2) 1/4) (fma.f32 1/8 (pow.f32 x -3) -1/8)))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) (fma.f32 (/.f32 1/2 x) (+.f32 1/2 (/.f32 1/2 x)) 1/4))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) (fma.f32 1/4 (pow.f32 x -2) (-.f32 1/4 (/.f32 -1/4 x))))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) (fma.f32 1/4 (pow.f32 x -2) (+.f32 1/4 (/.f32 1/4 x))))
(/.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2)) (-.f32 -1/2 (/.f32 1/2 x)))
(/.f32 (+.f32 (pow.f32 (*.f32 x 2) -2) -1/4) (+.f32 1/2 (/.f32 1/2 x)))
(/.f32 (neg.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8)) (neg.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4)))
(/.f32 1 (/.f32 (fma.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/2 x) 1/2) 1/4) (fma.f32 1/8 (pow.f32 x -3) -1/8)))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) (fma.f32 (/.f32 1/2 x) (+.f32 1/2 (/.f32 1/2 x)) 1/4))
(/.f32 (neg.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2))) (neg.f32 (-.f32 -1/2 (/.f32 1/2 x))))
(/.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2)) (-.f32 -1/2 (/.f32 1/2 x)))
(/.f32 (+.f32 (pow.f32 (*.f32 x 2) -2) -1/4) (+.f32 1/2 (/.f32 1/2 x)))
(/.f32 (fma.f32 1/4 (pow.f32 x -2) -1/4) (-.f32 (/.f32 1/2 x) -1/2))
(/.f32 (fma.f32 1/4 (pow.f32 x -2) -1/4) (+.f32 (/.f32 1/2 x) 1/2))
(/.f32 (fma.f32 1/4 (pow.f32 x -2) -1/4) (+.f32 1/2 (/.f32 1/2 x)))
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 1)
(+.f32 -1/2 (/.f32 1/2 x))
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2) 1/2)
(+.f32 -1/2 (/.f32 1/2 x))
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3) 1/3)
(+.f32 -1/2 (/.f32 1/2 x))
(pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 3)
(+.f32 -1/2 (/.f32 1/2 x))
(pow.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2)
(+.f32 -1/2 (/.f32 1/2 x))
(pow.f32 (exp.f32 1) (log.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 -1/2 (/.f32 1/2 x))
(pow.f32 (/.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4) (fma.f32 1/8 (pow.f32 x -3) -1/8)) -1)
(/.f32 1 (/.f32 (fma.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/2 x) 1/2) 1/4) (fma.f32 1/8 (pow.f32 x -3) -1/8)))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) -1/8) (fma.f32 (/.f32 1/2 x) (+.f32 1/2 (/.f32 1/2 x)) 1/4))
(pow.f32 (/.f32 (-.f32 -1/2 (/.f32 1/2 x)) (-.f32 1/4 (pow.f32 (*.f32 x 2) -2))) -1)
(/.f32 (-.f32 1/4 (pow.f32 (*.f32 x 2) -2)) (-.f32 -1/2 (/.f32 1/2 x)))
(/.f32 (+.f32 (pow.f32 (*.f32 x 2) -2) -1/4) (+.f32 1/2 (/.f32 1/2 x)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))))) (sqrt.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2))
(+.f32 -1/2 (/.f32 1/2 x))
(log.f32 (exp.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 -1/2 (/.f32 1/2 x))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(+.f32 -1/2 (/.f32 1/2 x))
(cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3))
(+.f32 -1/2 (/.f32 1/2 x))
(expm1.f32 (log1p.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 -1/2 (/.f32 1/2 x))
(log1p.f32 (expm1.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 -1/2 (/.f32 1/2 x))
(exp.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 -1/2 (/.f32 1/2 x))
(exp.f32 (*.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 -1/2 (/.f32 1/2 x))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1/3))
(+.f32 -1/2 (/.f32 1/2 x))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3))
(+.f32 -1/2 (/.f32 1/2 x))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 2))
(+.f32 -1/2 (/.f32 1/2 x))
(exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))) 1) 1))
(+.f32 -1/2 (/.f32 1/2 x))
(fma.f32 -1/2 (/.f32 1 (neg.f32 x)) -1/2)
(fma.f32 -1/2 (/.f32 -1 x) -1/2)
(fma.f32 1/2 (/.f32 1 x) -1/2)
(+.f32 -1/2 (/.f32 1/2 x))
(fma.f32 (/.f32 1/2 x) 1 -1/2)
(+.f32 -1/2 (/.f32 1/2 x))
(fma.f32 1 (/.f32 1/2 x) -1/2)
(+.f32 -1/2 (/.f32 1/2 x))
(fma.f32 (cbrt.f32 (/.f32 1/2 x)) (cbrt.f32 (pow.f32 (*.f32 x 2) -2)) -1/2)
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 x 2) -2)) (cbrt.f32 (/.f32 1/2 x)) -1/2)
(fma.f32 (cbrt.f32 (/.f32 1/2 x)) (cbrt.f32 (pow.f32 (*.f32 x 2) -2)) -1/2)
(fma.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)) -1/2)
(+.f32 -1/2 (/.f32 1/2 x))
(fma.f32 (/.f32 1 x) 1/2 -1/2)
(+.f32 -1/2 (/.f32 1/2 x))

localize55.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))
✓0.1b
(/.f32 2 (-.f32 1 x))
✓0.1b
(*.f32 (/.f32 2 (-.f32 1 x)) x)
✓1.3b
(exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
Compiler

Compiled 59 to 46 computations (22% saved)

series38.0ms (0.4%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f32 (/.f32 2 (-.f32 1 x)) x)
0.0ms
x
@-inf
(exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
0.0ms
x
@0
(exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
0.0ms
x
@-inf
(/.f32 2 (-.f32 1 x))
0.0ms
x
@inf
(exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
Compiler

Compiled 3030 to 2570 computations (15.2% saved)

rewrite58.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
915×pow1_binary32
852×add-log-exp_binary32
851×expm1-log1p-u_binary32
850×log1p-expm1-u_binary32
836×add-exp-log_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
119541
2231741
Stop Event
1×node limit
Counts
4 → 83
Calls
Call 1
Inputs
(exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
(*.f32 (/.f32 2 (-.f32 1 x)) x)
(/.f32 2 (-.f32 1 x))
(log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))) (sqrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (*.f32 2 (/.f32 x (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (-.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 x) (*.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 x (-.f32 1/2 (/.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 x) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 2 x)) (neg.f32 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 2 x) 1) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 2 x) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (cbrt.f32 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 2 x) (sqrt.f32 (-.f32 1 x))) (sqrt.f32 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -2 x) (neg.f32 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 x -2) (neg.f32 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 x) (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 x 3) (pow.f32 (/.f32 2 (-.f32 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 2 (-.f32 1 x)) 3) (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 2 (-.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 1 (/.f32 2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (-.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 2 (-.f32 1 x))) (pow.f32 (cbrt.f32 (/.f32 2 (-.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 2 (-.f32 1 x))) 2) (cbrt.f32 (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 2 (-.f32 1 x))) (sqrt.f32 (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (/.f32 1 (neg.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (+.f32 1 (fma.f32 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (-.f32 1 (*.f32 x x))) (+.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 2 (-.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 2 (-.f32 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 2 (-.f32 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 2 (-.f32 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 1/2 (/.f32 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 2 (-.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 2 (-.f32 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 2 (-.f32 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))) (sqrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (*.f32 2 (/.f32 x (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))))

simplify82.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
756×log-prod_binary32
485×log-div_binary32
440×unswap-sqr_binary32
418×fma-neg_binary32
267×associate-*l/_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01401426
13281195
21257960
35806960
Stop Event
1×node limit
Counts
83 → 83
Calls
Call 1
Inputs
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1))
(-.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1)
(*.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(pow.f32 (E.f32) (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))) (sqrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2))
(log.f32 (+.f32 1 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(-.f32 (+.f32 1 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(/.f32 2 (/.f32 (-.f32 1 x) x))
(/.f32 1 (/.f32 (-.f32 1 x) (*.f32 2 x)))
(/.f32 x (-.f32 1/2 (/.f32 x 2)))
(/.f32 (*.f32 2 x) (-.f32 1 x))
(/.f32 (neg.f32 (*.f32 2 x)) (neg.f32 (-.f32 1 x)))
(/.f32 (/.f32 (*.f32 2 x) 1) (-.f32 1 x))
(/.f32 (/.f32 (*.f32 2 x) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (cbrt.f32 (-.f32 1 x)))
(/.f32 (/.f32 (*.f32 2 x) (sqrt.f32 (-.f32 1 x))) (sqrt.f32 (-.f32 1 x)))
(/.f32 (*.f32 -2 x) (neg.f32 (-.f32 1 x)))
(/.f32 (*.f32 x -2) (neg.f32 (-.f32 1 x)))
(pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1)
(pow.f32 (pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 2))
(log.f32 (pow.f32 (exp.f32 x) (/.f32 2 (-.f32 1 x))))
(cbrt.f32 (pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 3))
(cbrt.f32 (*.f32 (pow.f32 x 3) (pow.f32 (/.f32 2 (-.f32 1 x)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 2 (-.f32 1 x)) 3) (pow.f32 x 3)))
(expm1.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(log1p.f32 (expm1.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(exp.f32 (log.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(-.f32 (+.f32 1 (/.f32 2 (-.f32 1 x))) 1)
(*.f32 2 (/.f32 1 (-.f32 1 x)))
(*.f32 1 (/.f32 2 (-.f32 1 x)))
(*.f32 (/.f32 2 (-.f32 1 x)) 1)
(*.f32 (cbrt.f32 (/.f32 2 (-.f32 1 x))) (pow.f32 (cbrt.f32 (/.f32 2 (-.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 2 (-.f32 1 x))) 2) (cbrt.f32 (/.f32 2 (-.f32 1 x))))
(*.f32 (sqrt.f32 (/.f32 2 (-.f32 1 x))) (sqrt.f32 (/.f32 2 (-.f32 1 x))))
(*.f32 -2 (/.f32 1 (neg.f32 (-.f32 1 x))))
(*.f32 (/.f32 1 (-.f32 1 x)) 2)
(*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (+.f32 1 (fma.f32 x x x)))
(*.f32 (/.f32 2 (-.f32 1 (*.f32 x x))) (+.f32 1 x))
(pow.f32 (/.f32 2 (-.f32 1 x)) 1)
(pow.f32 (pow.f32 (/.f32 2 (-.f32 1 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (/.f32 2 (-.f32 1 x))) 3)
(pow.f32 (sqrt.f32 (/.f32 2 (-.f32 1 x))) 2)
(pow.f32 (-.f32 1/2 (/.f32 x 2)) -1)
(sqrt.f32 (pow.f32 (/.f32 2 (-.f32 1 x)) 2))
(log.f32 (exp.f32 (/.f32 2 (-.f32 1 x))))
(cbrt.f32 (pow.f32 (/.f32 2 (-.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (/.f32 2 (-.f32 1 x))))
(log1p.f32 (expm1.f32 (/.f32 2 (-.f32 1 x))))
(exp.f32 (log.f32 (/.f32 2 (-.f32 1 x))))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1))
(-.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1)
(*.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(pow.f32 (E.f32) (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))) (sqrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2))
(log.f32 (+.f32 1 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
Outputs
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1))
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(-.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1)
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(*.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2))
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(pow.f32 (E.f32) (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3) 1/3)
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 3)
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
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(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))))) (sqrt.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2))
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(log.f32 (+.f32 1 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3))
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(+.f32 1 (+.f32 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))) -1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 -1 x)) -2)) 0)
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))

eval577.0ms (6.3%)

Compiler

Compiled 20324 to 16012 computations (21.2% saved)

prune309.0ms (3.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New9365941
Fresh202
Picked011
Done235
Total9409949
Error
0b
Counts
949 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.8b
(*.f32 1/2 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))
▶0.4b
(*.f32 1/2 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
▶24.7b
(*.f32 1/2 (+.f32 (log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))))
▶24.5b
(*.f32 1/2 (+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)))
✓0.1b
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
✓0.2b
(*.f32 1/2 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1))))
▶0.3b
(*.f32 1/2 (log1p.f32 (+.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) (/.f32 2 (-.f32 (/.f32 1 x) x)))))
✓0.3b
(*.f32 1/2 (log1p.f32 (*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (+.f32 1 x))))
✓18.5b
(*.f32 1/2 (exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))
Compiler

Compiled 256 to 218 computations (14.8% saved)

localize68.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f32 (+.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) (/.f32 2 (-.f32 (/.f32 1 x) x))))
0.1b
(-.f32 (/.f32 1 x) x)
✓0.1b
(/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x))
0.2b
(/.f32 2 (-.f32 (/.f32 1 x) x))
Compiler

Compiled 87 to 62 computations (28.7% saved)

series20.0ms (0.2%)

Counts
2 → 0
Calls

6 calls:

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

Compiled 1550 to 1330 computations (14.2% saved)

rewrite62.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
621×log-prod_binary32
597×fma-def_binary32
322×pow2_binary32
302×fma-neg_binary32
284×log-div_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01140
125434
2390332
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x))
(log1p.f32 (+.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) (/.f32 2 (-.f32 (/.f32 1 x) x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))) (log.f32 (sqrt.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 x (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 x (/.f32 1 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (/.f32 1 (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 2)) (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (*.f32 (cbrt.f32 (+.f32 x x)) (/.f32 1 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x x)) (*.f32 (sqrt.f32 (+.f32 x x)) (/.f32 1 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -2) (/.f32 1 (neg.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (-.f32 (/.f32 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) 1) (/.f32 (cbrt.f32 (+.f32 x x)) (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (+.f32 x x)) 1) (/.f32 (sqrt.f32 (+.f32 x x)) (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 x (cbrt.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 (+.f32 x x) (cbrt.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (+.f32 x x)) (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 (sqrt.f32 (+.f32 x x)) (cbrt.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 2 (sqrt.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 x (sqrt.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 (+.f32 x x) (sqrt.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 (cbrt.f32 (+.f32 x x)) (sqrt.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (-.f32 (pow.f32 x -3) (pow.f32 x 3))) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (-.f32 (pow.f32 x -2) (*.f32 x x))) (+.f32 x (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (/.f32 1 x) x) (+.f32 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (-.f32 (/.f32 1 x) x) (+.f32 x x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 x x) (neg.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)) 2) (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)) 2))) (log.f32 (-.f32 1 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 2)) (cbrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) (sqrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) 1))))))

simplify67.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
524×fma-def_binary32
492×log-prod_binary32
310×associate-*l/_binary32
295×associate-/l*_binary32
290×unswap-sqr_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01751419
14271298
214921293
369101293
Stop Event
1×node limit
Counts
67 → 101
Calls
Call 1
Inputs
(+.f32 0 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))) (log.f32 (sqrt.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))) 1)
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(*.f32 2 (/.f32 x (-.f32 (/.f32 1 x) x)))
(*.f32 2 (*.f32 x (/.f32 1 (-.f32 (/.f32 1 x) x))))
(*.f32 (+.f32 x x) (/.f32 1 (-.f32 (/.f32 1 x) x)))
(*.f32 1 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))
(*.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 1)
(*.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 2)) (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (*.f32 (cbrt.f32 (+.f32 x x)) (/.f32 1 (-.f32 (/.f32 1 x) x))))
(*.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(*.f32 (sqrt.f32 (+.f32 x x)) (*.f32 (sqrt.f32 (+.f32 x x)) (/.f32 1 (-.f32 (/.f32 1 x) x))))
(*.f32 (*.f32 x -2) (/.f32 1 (neg.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (+.f32 x x))
(*.f32 (/.f32 x (-.f32 (/.f32 1 x) x)) 2)
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) 1) (/.f32 (cbrt.f32 (+.f32 x x)) (-.f32 (/.f32 1 x) x)))
(*.f32 (/.f32 (sqrt.f32 (+.f32 x x)) 1) (/.f32 (sqrt.f32 (+.f32 x x)) (-.f32 (/.f32 1 x) x)))
(*.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 2 (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 x (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 (+.f32 x x) (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 x x)) (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 (sqrt.f32 (+.f32 x x)) (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 2 (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 2 (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 x (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 (+.f32 x x) (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 (cbrt.f32 (+.f32 x x)) (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 (+.f32 x x) (-.f32 (pow.f32 x -3) (pow.f32 x 3))) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))
(*.f32 (/.f32 (+.f32 x x) (-.f32 (pow.f32 x -2) (*.f32 x x))) (+.f32 x (/.f32 1 x)))
(pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 1)
(pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) 3)
(pow.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) 2)
(pow.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 3) 1/3)
(pow.f32 (/.f32 (-.f32 (/.f32 1 x) x) (+.f32 x x)) -1)
(pow.f32 (/.f32 (/.f32 (-.f32 (/.f32 1 x) x) (+.f32 x x)) 1) -1)
(neg.f32 (/.f32 (+.f32 x x) (neg.f32 (-.f32 (/.f32 1 x) x))))
(sqrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 2))
(log.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))))
(cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 3))
(expm1.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(log1p.f32 (expm1.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(exp.f32 (log.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) 1))
(+.f32 0 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1))))
(-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)) 2) (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))))) 1)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)) 2))) (log.f32 (-.f32 1 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))
(*.f32 1 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))))
(*.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 1)
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 2)) (cbrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) (sqrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))
(pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 1)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 2))
(log.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) 1))
Outputs
(+.f32 0 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 x) (/.f32 2 (-.f32 (/.f32 1 x) x)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 x) (/.f32 2 (-.f32 (/.f32 1 x) x))))))
(*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 x (-.f32 (pow.f32 x -1) x))) 2))))
(*.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 2) (/.f32 x (-.f32 (/.f32 1 x) x))))) 3)
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))) (log.f32 (sqrt.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))))
(*.f32 2 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 2 (-.f32 (/.f32 1 x) x))))))
(*.f32 2 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x (-.f32 (pow.f32 x -1) x))) 2))))
(*.f32 2 (log.f32 (fabs.f32 (exp.f32 (/.f32 x (-.f32 (/.f32 1 x) x))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))) 1)
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 2 (/.f32 x (-.f32 (/.f32 1 x) x)))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 2 (*.f32 x (/.f32 1 (-.f32 (/.f32 1 x) x))))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 (+.f32 x x) (/.f32 1 (-.f32 (/.f32 1 x) x)))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 1 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 1)
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 2)))
(*.f32 (cbrt.f32 (/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))) (cbrt.f32 (pow.f32 (/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x)) 2)))
(*.f32 (cbrt.f32 (*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))) (cbrt.f32 (pow.f32 (/.f32 (-.f32 (/.f32 1 x) x) (+.f32 x x)) -2)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 2)) (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(*.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 2)))
(*.f32 (cbrt.f32 (/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))) (cbrt.f32 (pow.f32 (/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x)) 2)))
(*.f32 (cbrt.f32 (*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))) (cbrt.f32 (pow.f32 (/.f32 (-.f32 (/.f32 1 x) x) (+.f32 x x)) -2)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (*.f32 (cbrt.f32 (+.f32 x x)) (/.f32 1 (-.f32 (/.f32 1 x) x))))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 (sqrt.f32 (+.f32 x x)) (*.f32 (sqrt.f32 (+.f32 x x)) (/.f32 1 (-.f32 (/.f32 1 x) x))))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 (*.f32 x -2) (/.f32 1 (neg.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (+.f32 x x))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 (/.f32 x (-.f32 (/.f32 1 x) x)) 2)
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) 1) (/.f32 (cbrt.f32 (+.f32 x x)) (-.f32 (/.f32 1 x) x)))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 x x)) 1) (/.f32 (sqrt.f32 (+.f32 x x)) (-.f32 (/.f32 1 x) x)))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 (pow.f32 x -1) x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 (pow.f32 x -1) x))))
(*.f32 (/.f32 2 (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 x (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 (pow.f32 x -1) x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 (pow.f32 x -1) x))))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 (+.f32 x x) (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 (pow.f32 x -1) x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 (pow.f32 x -1) x))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(*.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) (/.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)))
(/.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (/.f32 (pow.f32 (cbrt.f32 (-.f32 (pow.f32 x -1) x)) 2) (cbrt.f32 (/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x)))))
(/.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (/.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2) (cbrt.f32 (*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x)))))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 x x)) (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 (sqrt.f32 (+.f32 x x)) (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 (pow.f32 x -1) x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 (pow.f32 x -1) x))))
(*.f32 (/.f32 x (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 2 (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (sqrt.f32 (-.f32 (pow.f32 x -1) x))) (/.f32 2 (sqrt.f32 (-.f32 (pow.f32 x -1) x))))
(*.f32 (/.f32 (/.f32 2 (sqrt.f32 (-.f32 (/.f32 1 x) x))) (sqrt.f32 (-.f32 (/.f32 1 x) x))) x)
(*.f32 (/.f32 2 (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 x (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 2 (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (sqrt.f32 (-.f32 (pow.f32 x -1) x))) (/.f32 2 (sqrt.f32 (-.f32 (pow.f32 x -1) x))))
(*.f32 (/.f32 (/.f32 2 (sqrt.f32 (-.f32 (/.f32 1 x) x))) (sqrt.f32 (-.f32 (/.f32 1 x) x))) x)
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 (+.f32 x x) (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 2 (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (sqrt.f32 (-.f32 (pow.f32 x -1) x))) (/.f32 2 (sqrt.f32 (-.f32 (pow.f32 x -1) x))))
(*.f32 (/.f32 (/.f32 2 (sqrt.f32 (-.f32 (/.f32 1 x) x))) (sqrt.f32 (-.f32 (/.f32 1 x) x))) x)
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 (cbrt.f32 (+.f32 x x)) (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 2 (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 x (sqrt.f32 (-.f32 (pow.f32 x -1) x))) (/.f32 2 (sqrt.f32 (-.f32 (pow.f32 x -1) x))))
(*.f32 (/.f32 (/.f32 2 (sqrt.f32 (-.f32 (/.f32 1 x) x))) (sqrt.f32 (-.f32 (/.f32 1 x) x))) x)
(*.f32 (/.f32 (+.f32 x x) (-.f32 (pow.f32 x -3) (pow.f32 x 3))) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))
(/.f32 2 (/.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (*.f32 x (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))))
(*.f32 (/.f32 (+.f32 x x) (-.f32 (pow.f32 x -2) (*.f32 x x))) (+.f32 x (/.f32 1 x)))
(*.f32 (/.f32 (+.f32 x x) (-.f32 (pow.f32 x -2) (*.f32 x x))) (+.f32 x (pow.f32 x -1)))
(/.f32 (+.f32 x (/.f32 1 x)) (/.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (+.f32 x x)))
(pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 1)
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) 3)
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(pow.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) 2)
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(pow.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 3) 1/3)
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(pow.f32 (/.f32 (-.f32 (/.f32 1 x) x) (+.f32 x x)) -1)
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(pow.f32 (/.f32 (/.f32 (-.f32 (/.f32 1 x) x) (+.f32 x x)) 1) -1)
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(neg.f32 (/.f32 (+.f32 x x) (neg.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(sqrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 2))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(log.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))))))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x))) 3))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(expm1.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(log1p.f32 (expm1.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(exp.f32 (log.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(exp.f32 (*.f32 (log.f32 (*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))) 1))
(*.f32 x (/.f32 2 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x x) (-.f32 (pow.f32 x -1) x))
(*.f32 -2 (/.f32 x (+.f32 x (/.f32 -1 x))))
(+.f32 0 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))))
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x))))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x))))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1))))
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1))))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x))))))
(*.f32 2 (log.f32 (hypot.f32 1 (sqrt.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x))))))
(-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)) 2) (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))))))
(-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)) 3)) (log1p.f32 (-.f32 (pow.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)) 2) (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)) 3)) (log1p.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)) 2) (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)) 3)) (log1p.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)) 2) (/.f32 (fma.f32 x 2 2) (+.f32 x (/.f32 -1 x))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))))) 1)
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)) 2))) (log.f32 (-.f32 1 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)) 2))) (log1p.f32 (/.f32 (neg.f32 (fma.f32 x 2 2)) (-.f32 (pow.f32 x -1) x))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)) 2))) (log1p.f32 (/.f32 (fma.f32 x 2 2) (+.f32 x (/.f32 -1 x)))))
(*.f32 1 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))))
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))
(*.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 1)
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 2)))
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x))) 2)))
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 2)) (cbrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 2)))
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x))) 2)))
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x))) 2)))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) (sqrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))
(pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 1)
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 3) 1/3)
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) 3)
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) 2)
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 2))
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))
(log.f32 (fma.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2) 1))
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2))) 3))
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))))
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))) 1))
(log1p.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 x 2 2)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (pow.f32 x -1) x)))
(log1p.f32 (/.f32 (fma.f32 x 2 2) (-.f32 (/.f32 1 x) x)))

localize56.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
✓0.0b
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
✓0.3b
(/.f32 2 (+.f32 (/.f32 1 x) -1))
✓24.5b
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
Compiler

Compiled 65 to 57 computations (12.3% saved)

series35.0ms (0.4%)

Counts
4 → 0
Calls

12 calls:

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

Compiled 2950 to 2530 computations (14.2% saved)

rewrite294.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
449×log-prod_binary32
448×prod-diff_binary32
279×fma-def_binary32
278×pow2_binary32
253×pow-prod-down_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01161
124949
2334649
Stop Event
1×node limit
Counts
4 → 203
Calls
Call 1
Inputs
(+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(/.f32 2 (+.f32 (/.f32 1 x) -1))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 3)) (log.f32 (+.f32 1 (-.f32 (/.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2)) (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)) (/.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (/.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2)))) (log.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 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simplify88.0ms (1%)

Algorithm
1×egg-herbie
Rules
489×unswap-sqr_binary32
406×cancel-sign-sub-inv_binary32
363×times-frac_binary32
260×fma-neg_binary32
213×associate--r+_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02794631
16274401
221074384
Stop Event
1×node limit
Counts
203 → 183
Calls
Call 1
Inputs
(-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(-.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(-.f32 (log1p.f32 (pow.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 3)) (log.f32 (+.f32 1 (-.f32 (/.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2)) (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(-.f32 (/.f32 1 (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)) (/.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))
(-.f32 (log.f32 (-.f32 1 (/.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2)))) (log.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (*.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1)))
(*.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (/.f32 1 (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))
(/.f32 1 (/.f32 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1) (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))))
(/.f32 1 (/.f32 (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (+.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))) (neg.f32 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1)))
(/.f32 (neg.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))) (neg.f32 (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))
(/.f32 (-.f32 (pow.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3) 1) (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (+.f32 1 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(/.f32 (-.f32 (pow.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) 1) (+.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))
(/.f32 (-.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) 1) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))
(pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) 1/2)
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) 1/3)
(pow.f32 (/.f32 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1) (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))) -1)
(pow.f32 (/.f32 (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))) -1)
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2))
(log.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))
(fma.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(fma.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(fma.f32 1 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) -1)
(fma.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1 0)
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(+.f32 (log.f32 (sqrt.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))) (log.f32 (sqrt.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))))
(*.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(*.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (pow.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 (sqrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (sqrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) -1) (/.f32 1 (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(*.f32 (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) -1) (/.f32 1 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 (+.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) (-.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) -1)))
(/.f32 1 (/.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) -1)))
(/.f32 (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) -1) (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(/.f32 (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) -1) (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) (-.f32 1 (*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -1))))
(/.f32 (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) -1) (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) -1)) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) -1)) (neg.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(pow.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) 1/2)
(pow.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3)
(pow.f32 (sqrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)
(pow.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3) 1/3)
(pow.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) -1)) -1)
(pow.f32 (/.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) -1)) -1)
(sqrt.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))
(log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(cbrt.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))
(expm1.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(expm1.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))
(log1p.f32 (expm1.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(exp.f32 (log.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(exp.f32 (*.f32 (log.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1))
(fma.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -1)
(fma.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1 -1)
(fma.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) -1)
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) -1)
(fma.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) -1)
(fma.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (*.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) -1)
(fma.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1)) -1)
(fma.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (/.f32 1 (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)) -1)
Outputs
(-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(-.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(-.f32 (log1p.f32 (pow.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 3)) (log.f32 (+.f32 1 (-.f32 (/.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2)) (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 3)) (log1p.f32 (-.f32 (/.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2)) (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(-.f32 (log1p.f32 (/.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) 3))) (log1p.f32 (+.f32 (/.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2)) (/.f32 -2 (+.f32 (/.f32 1 x) -1)))))
(-.f32 (log1p.f32 (/.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3))) (log1p.f32 (+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(-.f32 (/.f32 1 (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)) (/.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (+.f32 1 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(-.f32 (log.f32 (-.f32 1 (/.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2)))) (log.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(-.f32 (log1p.f32 (/.f32 -4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2))) (log1p.f32 (/.f32 -2 (+.f32 (/.f32 1 x) -1))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (*.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1)))
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 -1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)) 1)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -2) 1))
(*.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (/.f32 1 (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (+.f32 1 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(/.f32 1 (/.f32 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1) (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))))
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 -1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)) 1)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -2) 1))
(/.f32 1 (/.f32 (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (+.f32 1 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1))
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 -1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)) 1)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -2) 1))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (+.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 -1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)) 1)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -2) 1))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (+.f32 1 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))) (neg.f32 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1)))
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 -1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)) 1)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -2) 1))
(/.f32 (neg.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))) (neg.f32 (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (+.f32 1 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(/.f32 (-.f32 (pow.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3) 1) (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (+.f32 1 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (+.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (+.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
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(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) -1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) -1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(fma.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) -1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(fma.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (*.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) -1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(fma.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1)) -1)
(fma.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 -1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)) 1)) -1)
(+.f32 -1 (/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -2) 1)))
(fma.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (/.f32 1 (+.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)) -1)
(fma.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (/.f32 1 (+.f32 1 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) -1)
(+.f32 -1 (/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))

localize67.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
✓0.1b
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
0.3b
(/.f32 2 (+.f32 (/.f32 1 x) -1))
✓0.7b
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)
Compiler

Compiled 63 to 55 computations (12.7% saved)

series130.0ms (1.4%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)
2.0ms
x
@-inf
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)
1.0ms
x
@0
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)
1.0ms
x
@inf
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
1.0ms
x
@-inf
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
Compiler

Compiled 7620 to 7060 computations (7.3% saved)

rewrite58.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
427×log-prod_binary32
330×exp-prod_binary32
281×prod-exp_binary32
260×pow2_binary32
233×pow-prod-down_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
125526
2271626
Stop Event
1×node limit
Counts
2 → 73
Calls
Call 1
Inputs
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (log.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (*.f32 (+.f32 (/.f32 1 x) -1) 1/2) -3)) (log.f32 (+.f32 1 (-.f32 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2)) (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2)))) (log.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6) (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 5/6) (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)) 1) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3) (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1) (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2) (log.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2) (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6) (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1/3) (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2)) (cbrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (sqrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1) 1))))))

simplify67.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
393×fma-def_binary32
349×log-prod_binary32
249×associate-/l*_binary32
220×associate-*l/_binary32
217×associate-/r*_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01771164
13651115
29871112
337601112
Stop Event
1×node limit
Counts
73 → 85
Calls
Call 1
Inputs
(+.f32 0 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (log.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(-.f32 (log1p.f32 (pow.f32 (*.f32 (+.f32 (/.f32 1 x) -1) 1/2) -3)) (log.f32 (+.f32 1 (-.f32 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2)) (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)
(-.f32 (log.f32 (-.f32 1 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2)))) (log.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2))))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6) (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 5/6))
(*.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 5/6) (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)) 1) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2))
(log.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1/3))
(exp.f32 (*.f32 (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3) 3))
(exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1) 3))
(exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2) 2))
(exp.f32 (+.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3) (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1) (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(exp.f32 (+.f32 (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3)))
(exp.f32 (+.f32 (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2) (log.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(exp.f32 (+.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2)))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2) (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2)))
(+.f32 0 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 1)
(*.f32 1 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6) (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6))
(pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(pow.f32 (E.f32) (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) 1/6)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) 1/9)
(pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)) 1/2)
(pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3)
(pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) 3/2)
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2/3)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6) 2)
(pow.f32 (exp.f32 1/3) (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2)) (cbrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (sqrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)))
(log.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(log1p.f32 (expm1.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(exp.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6)) 2))
(exp.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) 3/2))
(exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1/3))
(exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1) 1))
Outputs
(+.f32 0 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (log.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (log.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 (log.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3)
(+.f32 (log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(-.f32 (log1p.f32 (pow.f32 (*.f32 (+.f32 (/.f32 1 x) -1) 1/2) -3)) (log.f32 (+.f32 1 (-.f32 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2)) (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(-.f32 (log1p.f32 (pow.f32 (*.f32 (+.f32 (/.f32 1 x) -1) 1/2) -3)) (log1p.f32 (-.f32 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2)) (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (*.f32 (/.f32 1 x) 1/2)) -3)) (log1p.f32 (fma.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2) (/.f32 -2 (+.f32 (/.f32 1 x) -1)))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3)) (log1p.f32 (fma.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2) (/.f32 -2 (+.f32 (/.f32 1 x) -1)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(-.f32 (log.f32 (-.f32 1 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2)))) (log.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(-.f32 (log.f32 (+.f32 1 (*.f32 -4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2)))) (log.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(-.f32 (log1p.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 x) -1) -2) -4)) (log1p.f32 (/.f32 -2 (+.f32 (/.f32 1 x) -1))))
(*.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6) (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 5/6))
(*.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 5/6) (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6))
(*.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6) (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 5/6))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)) 1) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1/3))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (*.f32 (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3) 3))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1) 3))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2) 2))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (+.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3) (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1) (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (+.f32 (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (+.f32 (*.f32 2/3 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2) (log.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (+.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (+.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2) (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3/2)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(+.f32 0 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 1)
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 1 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6) (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/3)
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (E.f32) (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) 1/6)
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) 1/9)
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)) 1/2)
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3)
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) 3/2)
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2/3)
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6) 2)
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (exp.f32 1/3) (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2)) (cbrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (sqrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(log.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(expm1.f32 (log1p.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(log1p.f32 (expm1.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 3))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6)) 2))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) 3/2))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1/3))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3) 1))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1) 1))
(cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))

localize97.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f32 (neg.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
✓0.1b
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
✓0.3b
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
0.3b
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
Compiler

Compiled 91 to 79 computations (13.2% saved)

series30.0ms (0.3%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(log1p.f32 (neg.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
0.0ms
x
@inf
(log1p.f32 (neg.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
0.0ms
x
@0
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
0.0ms
x
@0
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
0.0ms
x
@-inf
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
Compiler

Compiled 2230 to 1900 computations (14.8% saved)

rewrite73.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
485×prod-diff_binary32
483×log-prod_binary32
297×pow2_binary32
239×pow-prod-down_binary32
207×expm1-udef_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01336
128234
2338634
Stop Event
1×node limit
Counts
3 → 88
Calls
Call 1
Inputs
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(log1p.f32 (neg.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
Outputs
((#(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 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 1)))) (#(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 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) (/.f32 -1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 -1) (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(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 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4))) (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (fma.f32 1/8 (pow.f32 x -3) -1/8)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (-.f32 1/4 (/.f32 1/4 (*.f32 x x)))) (-.f32 -1/2 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (fma.f32 1/8 (pow.f32 x -3) -1/8)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1/4 (/.f32 1/4 (*.f32 x x)))) (-.f32 -1/2 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))) 1)))) (#(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 sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (/.f32 1 (+.f32 1 (expm1.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2) (cbrt.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)) (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2)) (log.f32 (cbrt.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))) (log.f32 (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (log.f32 (-.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2) (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) (sqrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1)) 2)) (log.f32 (cbrt.f32 (+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (hypot.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) (log.f32 (hypot.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -6)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4))) (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) (pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 2) (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) (sqrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 1))))))

simplify60.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
471×fma-def_binary32
301×unswap-sqr_binary32
290×log-prod_binary32
204×distribute-rgt-in_binary32
199×distribute-rgt-neg-in_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01981257
14231208
212701196
350711195
Stop Event
1×node limit
Counts
88 → 127
Calls
Call 1
Inputs
(+.f32 0 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(-.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 1)
(*.f32 -1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) (/.f32 -1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (/.f32 -1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2))
(*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))
(*.f32 (sqrt.f32 -1) (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))) -1)
(*.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))) 1)
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4))) (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2)))
(*.f32 (/.f32 -1 (fma.f32 1/8 (pow.f32 x -3) -1/8)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4))
(*.f32 (/.f32 -1 (-.f32 1/4 (/.f32 1/4 (*.f32 x x)))) (-.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (/.f32 1 (fma.f32 1/8 (pow.f32 x -3) -1/8)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4))
(*.f32 (/.f32 1 (-.f32 1/4 (/.f32 1/4 (*.f32 x x)))) (-.f32 -1/2 (/.f32 1/2 x)))
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1/2)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -6) 1/6)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3) 1/3)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2) -1/2)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3) -1/3)
(pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) 3/2)
(pow.f32 (/.f32 -1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3)
(pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -3)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) 2)
(pow.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2)
(pow.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))) 1)
(neg.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(fabs.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(log.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(log.f32 (/.f32 1 (+.f32 1 (expm1.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3))
(expm1.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))
(log1p.f32 (expm1.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(exp.f32 (*.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1))
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1))
(fma.f32 1 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2) (cbrt.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) -1)
(fma.f32 (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)) (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)) -1)
(+.f32 0 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2)) (log.f32 (cbrt.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(+.f32 (log.f32 (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))) (log.f32 (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (log.f32 (-.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))) 1)
(*.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 1)
(*.f32 1 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2) (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) (sqrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 1)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 2))
(log.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(exp.f32 (log.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 1))
(+.f32 0 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1)) 2)) (log.f32 (cbrt.f32 (+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))))
(+.f32 (log.f32 (hypot.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) (log.f32 (hypot.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -6)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))) 1)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4))) (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(*.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 1)
(*.f32 1 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(*.f32 (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) (pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 2) (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(*.f32 (sqrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) (sqrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 1)
(pow.f32 (pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 2))
(log.f32 (+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(exp.f32 (log.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 1))
Outputs
(+.f32 0 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(*.f32 (log.f32 (cbrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))) 3)
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(-.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 1)
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 -1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) (/.f32 -1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (/.f32 -1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (sqrt.f32 -1) (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))) (sqrt.f32 -1))
(/.f32 (*.f32 -1 (sqrt.f32 -1)) (+.f32 -1/2 (/.f32 1/2 x)))
(/.f32 (sqrt.f32 -1) (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))) -1)
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))) 1)
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4))) (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2)))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4))) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (/.f32 -1 (fma.f32 1/8 (pow.f32 x -3) -1/8)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4))
(*.f32 (/.f32 -1 (fma.f32 1/8 (pow.f32 x -3) -1/8)) (fma.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/2 x) 1/2) 1/4))
(/.f32 (neg.f32 (fma.f32 (/.f32 1/2 x) (+.f32 1/2 (/.f32 1/2 x)) 1/4)) (fma.f32 1/8 (pow.f32 x -3) -1/8))
(/.f32 (fma.f32 -1 (/.f32 (+.f32 1/4 (/.f32 1/4 x)) x) -1/4) (fma.f32 1/8 (pow.f32 x -3) -1/8))
(/.f32 (-.f32 -1/4 (/.f32 (+.f32 1/4 (/.f32 1/4 x)) x)) (fma.f32 1/8 (pow.f32 x -3) -1/8))
(*.f32 (/.f32 -1 (-.f32 1/4 (/.f32 1/4 (*.f32 x x)))) (-.f32 -1/2 (/.f32 1/2 x)))
(/.f32 (neg.f32 (+.f32 -1/2 (/.f32 -1/2 x))) (+.f32 1/4 (/.f32 -1/4 (*.f32 x x))))
(/.f32 (+.f32 1/2 (/.f32 1/2 x)) (+.f32 1/4 (/.f32 -1/4 (*.f32 x x))))
(/.f32 (+.f32 1/2 (/.f32 1/2 x)) (+.f32 1/4 (/.f32 (/.f32 -1/4 x) x)))
(*.f32 (/.f32 1 (fma.f32 1/8 (pow.f32 x -3) -1/8)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) -1/2) 1/4))
(*.f32 (fma.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/2 x) 1/2) 1/4) (/.f32 1 (fma.f32 1/8 (pow.f32 x -3) -1/8)))
(/.f32 (fma.f32 (/.f32 1/2 x) (+.f32 1/2 (/.f32 1/2 x)) 1/4) (fma.f32 1/8 (pow.f32 x -3) -1/8))
(/.f32 (+.f32 1/4 (/.f32 (+.f32 1/4 (/.f32 1/4 x)) x)) (fma.f32 1/8 (pow.f32 x -3) -1/8))
(*.f32 (/.f32 1 (-.f32 1/4 (/.f32 1/4 (*.f32 x x)))) (-.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (-.f32 -1/2 (/.f32 1/2 x)) (/.f32 1 (-.f32 1/4 (/.f32 1/4 (*.f32 x x)))))
(/.f32 (+.f32 -1/2 (/.f32 -1/2 x)) (+.f32 1/4 (/.f32 -1/4 (*.f32 x x))))
(/.f32 (-.f32 -1/2 (/.f32 1/2 x)) (+.f32 1/4 (/.f32 -1/4 (*.f32 x x))))
(/.f32 (-.f32 -1/2 (/.f32 1/2 x)) (+.f32 1/4 (/.f32 (/.f32 -1/4 x) x)))
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1)
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1/2)
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -6) 1/6)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3) 1/3)
(cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3))
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2) -1/2)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3) -1/3)
(*.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3) -1/6) (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3) -1/6))
(pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2) 3/2)
(pow.f32 (/.f32 -1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3)
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -3)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) 2)
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(pow.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -2)
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(pow.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))) 1)
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(neg.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(fabs.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(log.f32 (exp.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(log.f32 (/.f32 1 (+.f32 1 (expm1.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3))
(expm1.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(log1p.f32 (expm1.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(exp.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(exp.f32 (*.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1))
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(fma.f32 1 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) -1)
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2) (cbrt.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) -1)
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
(fma.f32 (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)) (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)) -1)
(+.f32 0 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2)) (log.f32 (cbrt.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 (log.f32 (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))) (log.f32 (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))))
(*.f32 2 (log.f32 (hypot.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (log.f32 (-.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (log.f32 (+.f32 1 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3)) (log1p.f32 (+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3)) (log1p.f32 (+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -3)) (log1p.f32 (/.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) (+.f32 -1/2 (/.f32 1/2 x)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))) 1)
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 1)
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 1 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2))
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2) (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) (sqrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 1)
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 2) 1/2)
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 3) 1/3)
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 3)
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 2)
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 2))
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(log.f32 (+.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))))
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))) 3))
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(exp.f32 (log.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) 1))
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 0 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1)) 2)) (log.f32 (cbrt.f32 (+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 2)) (log.f32 (cbrt.f32 (+.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))
(+.f32 (log.f32 (hypot.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))) (log.f32 (hypot.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(*.f32 2 (log.f32 (hypot.f32 1 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -6)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -6)) (log1p.f32 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -6)) (log1p.f32 (+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))) 1)
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4))) (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4))) (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(-.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -4)) (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(*.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 1)
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(*.f32 1 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(*.f32 (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) (pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 2))
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 2) (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(*.f32 (sqrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) (sqrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 1)
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(pow.f32 (pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 2) 1/2)
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(pow.f32 (pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 3) 1/3)
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 3)
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(pow.f32 (sqrt.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 2)
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(sqrt.f32 (pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 2))
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(log.f32 (+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(cbrt.f32 (pow.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 3))
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(expm1.f32 (log1p.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(exp.f32 (log.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) 1))
(log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))

localize117.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
0.1b
(-.f32 (/.f32 1 x) x)
✓0.3b
(/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))
✓24.6b
(log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
Compiler

Compiled 126 to 97 computations (23% saved)

series312.0ms (3.4%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
2.0ms
x
@inf
(log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
1.0ms
x
@-inf
(log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
1.0ms
x
@0
(log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
0.0ms
x
@inf
(sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
Compiler

Compiled 3890 to 3580 computations (8% saved)

rewrite104.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
657×prod-diff_binary32
524×log-prod_binary32
374×fma-def_binary32
297×pow2_binary32
204×expm1-udef_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01154
124352
2332152
Stop Event
1×node limit
Counts
3 → 111
Calls
Call 1
Inputs
(log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))
(sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 2 x 2) (/.f32 1 (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (fma.f32 2 x 2) 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simplify79.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
505×fma-neg_binary32
395×unswap-sqr_binary32
306×*-commutative_binary32
244×log-div_binary32
226×associate-/l*_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02522744
15712618
221792572
372092572
Stop Event
1×node limit
Counts
111 → 143
Calls
Call 1
Inputs
(+.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 0)
(+.f32 0 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(+.f32 (*.f32 1/3 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(+.f32 (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (*.f32 1/3 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(+.f32 (*.f32 1/4 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (*.f32 1/4 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2))) (log.f32 (sqrt.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))))
(+.f32 (log.f32 (pow.f32 1 1/2)) (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2) 1/2)) (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 1/2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) 1)
(-.f32 (log.f32 (hypot.f32 1 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 3/2))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) (-.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 1) 1))))
(-.f32 (log.f32 (sqrt.f32 (-.f32 1 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 2)))) (log.f32 (sqrt.f32 (-.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 1 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(*.f32 2 (*.f32 1/4 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(*.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 1)
(*.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2)) (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(*.f32 3 (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 1/3 (*.f32 3/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 1)
(pow.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) 3)
(pow.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) 2)
(sqrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2))
(cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 3))
(expm1.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(log1p.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(exp.f32 (log.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(exp.f32 (*.f32 (log.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) 1))
(+.f32 0 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(-.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1)
(*.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(*.f32 (fma.f32 2 x 2) (/.f32 1 (-.f32 (/.f32 1 x) x)))
(*.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 1)
(*.f32 (cbrt.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) (cbrt.f32 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 2)) (cbrt.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 2 x 2) 2)) (*.f32 (cbrt.f32 (fma.f32 2 x 2)) (/.f32 1 (-.f32 (/.f32 1 x) x))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) (sqrt.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(*.f32 (sqrt.f32 (fma.f32 2 x 2)) (*.f32 (sqrt.f32 (fma.f32 2 x 2)) (/.f32 1 (-.f32 (/.f32 1 x) x))))
(*.f32 (neg.f32 (fma.f32 2 x 2)) (/.f32 1 (neg.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (fma.f32 2 x 2))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 2 x 2) 2)) 1) (/.f32 (cbrt.f32 (fma.f32 2 x 2)) (-.f32 (/.f32 1 x) x)))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 2 x 2)) 1) (/.f32 (sqrt.f32 (fma.f32 2 x 2)) (-.f32 (/.f32 1 x) x)))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 (fma.f32 2 x 2) (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 2 x 2) 2)) (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (cbrt.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 2 x 2)) (pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 2)) (/.f32 (sqrt.f32 (fma.f32 2 x 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 (fma.f32 2 x 2) (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 2 x 2) 2)) (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 (cbrt.f32 (fma.f32 2 x 2)) (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (pow.f32 x -3) (pow.f32 x 3))) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))
(*.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (pow.f32 x -2) (*.f32 x x))) (+.f32 x (/.f32 1 x)))
(pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 1)
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 3)
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 2)
(pow.f32 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 3) 1/3)
(pow.f32 (/.f32 (-.f32 (/.f32 1 x) x) (fma.f32 2 x 2)) -1)
(pow.f32 (/.f32 (/.f32 (-.f32 (/.f32 1 x) x) (fma.f32 2 x 2)) 1) -1)
(neg.f32 (/.f32 (fma.f32 2 x 2) (neg.f32 (-.f32 (/.f32 1 x) x))))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 2))
(log.f32 (exp.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 3))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(expm1.f32 (*.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(exp.f32 (log.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1))
(fma.f32 1 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) -1)
(fma.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1 -1)
(fma.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) -1)
(fma.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2) -1)
(fma.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (*.f32 (cbrt.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2) (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) -1)
(fma.f32 (pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1/4) (*.f32 (pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1/4) (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) -1)
(fma.f32 (+.f32 1 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 3)) (/.f32 1 (fma.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) (-.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 1) 1)) -1)
(fma.f32 (-.f32 1 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 2)) (/.f32 1 (-.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) -1)
(fma.f32 (pow.f32 (pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1/4) 3) (pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1/4) -1)
(fma.f32 (*.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (cbrt.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) -1)
(+.f32 0 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) 1)
(*.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(*.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 1)
(*.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (cbrt.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 (cbrt.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(*.f32 (pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1/4) (pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2) 1/2) (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 1/2))
(/.f32 (hypot.f32 1 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 3/2)) (sqrt.f32 (fma.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) (-.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 1) 1)))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 2))) (sqrt.f32 (-.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1/2)
(pow.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 1)
(pow.f32 (E.f32) (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(pow.f32 (pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 3/2) 1/3)
(pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) 3)
(pow.f32 (pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1/4) 2)
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2))) (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(pow.f32 (exp.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(fabs.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))))
(cbrt.f32 (pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 3/2))
(hypot.f32 1 (sqrt.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(exp.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1/2))
Outputs
(+.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 0)
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(+.f32 0 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(+.f32 (*.f32 1/3 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(+.f32 (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (*.f32 1/3 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(+.f32 (*.f32 1/4 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (*.f32 1/4 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2))) (log.f32 (sqrt.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))))
(fma.f32 1/2 (log.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (log.f32 (fabs.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))))
(*.f32 1/2 (*.f32 3 (log.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))))
(+.f32 (log.f32 (pow.f32 1 1/2)) (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2) 1/2)) (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 1/2)))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2))) (log.f32 (sqrt.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))))
(fma.f32 1/2 (log.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (log.f32 (fabs.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))))
(*.f32 1/2 (*.f32 3 (log.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) 1)
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(-.f32 (log.f32 (hypot.f32 1 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 3/2))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) (-.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 1) 1))))
(-.f32 (log.f32 (hypot.f32 1 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 3/2))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) (+.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) -1) 1))))
(-.f32 (log.f32 (sqrt.f32 (-.f32 1 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 2)))) (log.f32 (sqrt.f32 (-.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(-.f32 (log.f32 (sqrt.f32 (-.f32 1 (pow.f32 (/.f32 (-.f32 (/.f32 1 x) x) (fma.f32 2 x 2)) -2)))) (log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 x (/.f32 1 x)))))))
(*.f32 1 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(*.f32 2 (*.f32 1/4 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(*.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 1)
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(*.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2)) (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2)))
(*.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(*.f32 3 (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(*.f32 1/3 (*.f32 3/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 1)
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(pow.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 3) 1/3)
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) 3)
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(pow.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) 2)
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(sqrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 3))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(expm1.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(log1p.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(exp.f32 (log.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(exp.f32 (*.f32 (log.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) 1))
(*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(+.f32 0 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))
(/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))
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(*.f32 (fabs.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (sqrt.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(*.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) (sqrt.f32 (cbrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(/.f32 (hypot.f32 1 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 3/2)) (sqrt.f32 (fma.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) (-.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 1) 1)))
(/.f32 (hypot.f32 1 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 3/2)) (sqrt.f32 (fma.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) (+.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) -1) 1)))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)) 2))) (sqrt.f32 (-.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 (/.f32 (-.f32 (/.f32 1 x) x) (fma.f32 2 x 2)) -2))) (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 x (/.f32 1 x))))))
(pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1/2)
(sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(pow.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 1)
(sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(pow.f32 (E.f32) (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(sqrt.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(pow.f32 (pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 3/2) 1/3)
(cbrt.f32 (pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 3/2))
(pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) 3)
(sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(pow.f32 (pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1/4) 2)
(sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))) 2))) (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(pow.f32 (exp.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(pow.f32 (E.f32) (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(sqrt.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(fabs.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))))
(sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(cbrt.f32 (pow.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 3/2))
(hypot.f32 1 (sqrt.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))))
(sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))
(exp.f32 (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(pow.f32 (E.f32) (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(sqrt.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))) 1/2))
(pow.f32 (E.f32) (*.f32 1/2 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))
(sqrt.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))

eval1.1s (12.4%)

Compiler

Compiled 42424 to 34502 computations (18.7% saved)

prune582.0ms (6.3%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New137231375
Fresh000
Picked101
Done268
Total137591384
Error
0b
Counts
1384 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(*.f32 1/2 (-.f32 (log1p.f32 (neg.f32 (*.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
✓24.5b
(*.f32 1/2 (+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)))
▶24.8b
(*.f32 1/2 (+.f32 1 (log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))))
▶24.7b
(*.f32 1/2 (*.f32 2 (log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
✓0.1b
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
✓0.2b
(*.f32 1/2 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1))))
✓0.3b
(*.f32 1/2 (log1p.f32 (+.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) (/.f32 2 (-.f32 (/.f32 1 x) x)))))
✓0.3b
(*.f32 1/2 (log1p.f32 (*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (+.f32 1 x))))
✓18.5b
(*.f32 1/2 (exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))
Compiler

Compiled 148 to 129 computations (12.8% saved)

localize75.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
✓0.0b
(sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
0.3b
(/.f32 2 (+.f32 (/.f32 1 x) -1))
✓24.6b
(log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
Compiler

Compiled 79 to 70 computations (11.4% saved)

series68.0ms (0.7%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
0.0ms
x
@inf
(log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
0.0ms
x
@-inf
(log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
0.0ms
x
@-inf
(sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
0.0ms
x
@inf
(sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
Compiler

Compiled 3820 to 3530 computations (7.6% saved)

rewrite71.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
462×log-prod_binary32
281×pow2_binary32
263×pow-prod-down_binary32
259×fma-def_binary32
259×prod-diff_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01145
123743
2297543
Stop Event
1×node limit
Counts
3 → 149
Calls
Call 1
Inputs
(log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/4 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (*.f32 1/4 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/3 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (*.f32 1/3 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (sqrt.f32 (-.f32 1 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2))))) (log.f32 (sqrt.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (sqrt.f32 (fma.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) -3) 1))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/4 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 3 (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/3 (*.f32 3/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/3 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 2 (/.f32 1 (+.f32 (/.f32 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (pow.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -2 (/.f32 1 (+.f32 1 (neg.f32 (/.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 (+.f32 (/.f32 1 x) -1)) 2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 2 (+.f32 -1 (pow.f32 x -3))) (-.f32 (+.f32 (pow.f32 x -2) 1) (/.f32 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 2 (+.f32 (pow.f32 x -2) -1)) (+.f32 (/.f32 1 x) 1) 1)))))

simplify131.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
963×fma-def_binary32
467×unswap-sqr_binary32
334×associate-/l*_binary32
306×sqr-pow_binary32
280×log-prod_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03163234
17143098
223143036
Stop Event
1×node limit
Counts
149 → 184
Calls
Call 1
Inputs
(+.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 0)
(+.f32 0 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(+.f32 (*.f32 1/4 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (*.f32 1/4 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(+.f32 (*.f32 1/3 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(+.f32 (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (*.f32 1/3 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 1)
(-.f32 (log.f32 (sqrt.f32 (-.f32 1 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2))))) (log.f32 (sqrt.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(-.f32 (log.f32 (sqrt.f32 (fma.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) -3) 1))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1) 1))))
(*.f32 1 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 2 (*.f32 1/4 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(*.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 3 (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 1/3 (*.f32 3/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(pow.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) 1/2)
(pow.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3)
(pow.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)
(sqrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))
(cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))
(expm1.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(log1p.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(exp.f32 (log.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(exp.f32 (*.f32 (log.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1))
(exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1) 1))
(+.f32 0 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 1)
(*.f32 1 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(*.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6))
(*.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6) (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/4) (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/4))
(*.f32 (pow.f32 (E.f32) (*.f32 1/4 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (pow.f32 (E.f32) (*.f32 1/4 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 (pow.f32 (E.f32) (*.f32 1/3 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (pow.f32 (E.f32) (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2)))) (sqrt.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(/.f32 (sqrt.f32 (fma.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) -3) 1)) (sqrt.f32 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1) 1)))
(/.f32 (pow.f32 (E.f32) (exp.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (E.f32))
(pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/2)
(pow.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(pow.f32 (E.f32) (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(pow.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) 1/4)
(pow.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) 1/6)
(pow.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3/2) 1/3)
(pow.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3/2)
(pow.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6) 3)
(pow.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/4) 2)
(pow.f32 (exp.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(pow.f32 (exp.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (*.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) (*.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1))
(pow.f32 (sqrt.f32 (E.f32)) (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (pow.f32 (E.f32) (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))
(pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(pow.f32 (pow.f32 (E.f32) (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 1) (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (cbrt.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (sqrt.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (sqrt.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))) (sqrt.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) 1) (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2)) (cbrt.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) (cbrt.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (cbrt.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))) (cbrt.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) (sqrt.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (sqrt.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(fabs.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(cbrt.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3/2))
(hypot.f32 1 (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(exp.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/2))
(exp.f32 (*.f32 (*.f32 3/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3))
(exp.f32 (*.f32 (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3))
(exp.f32 (*.f32 (*.f32 1/4 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1) 1/2))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/2) 1))
(-.f32 (exp.f32 (log1p.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)
(-.f32 (/.f32 1 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (/.f32 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2)) (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 1 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(*.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/4) (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3/4))
(*.f32 (fma.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) -3) 1) (/.f32 1 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1) 1)))
(*.f32 (-.f32 1 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2))) (/.f32 1 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3/4) (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/4))
(*.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 5/6) (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6))
(/.f32 1 (/.f32 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1) 1) (fma.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) -3) 1)))
(/.f32 1 (/.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (-.f32 1 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2)))))
(/.f32 (fma.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) -3) 1) (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1) 1))
(/.f32 (fma.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) -3) 1) (fma.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2) (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(/.f32 (-.f32 1 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2))) (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(/.f32 (neg.f32 (fma.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) -3) 1)) (neg.f32 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1) 1)))
(/.f32 (neg.f32 (-.f32 1 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2)))) (neg.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(/.f32 (fma.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2) -1) (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))
(pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(pow.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)
(pow.f32 (E.f32) (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (E.f32) (*.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))
(pow.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) 1/2)
(pow.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) 1/3)
(pow.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3/2) 2/3)
(pow.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)
(pow.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/6) 6)
(pow.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/4) 4)
(pow.f32 (exp.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (*.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))
(pow.f32 (exp.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (+.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) (*.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) (+.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(pow.f32 (pow.f32 (E.f32) 2) (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(pow.f32 (/.f32 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1) 1) (fma.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) -3) 1)) -1)
(pow.f32 (/.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (-.f32 1 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2)))) -1)
(pow.f32 (*.f32 (exp.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (exp.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(pow.f32 (*.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) (exp.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))) (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(sqrt.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2))
(log.f32 (exp.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(cbrt.f32 (pow.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3))
(expm1.f32 (log1p.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(log1p.f32 (expm1.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(exp.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(exp.f32 (*.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))
(exp.f32 (*.f32 (*.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/2))
(exp.f32 (*.f32 (*.f32 3 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/3))
(exp.f32 (*.f32 (*.f32 1/3 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1) 1))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/2) 2))
(fma.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1)
(fma.f32 2 (/.f32 1 (+.f32 (/.f32 1 x) -1)) 1)
(fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1 1)
(fma.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (pow.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) 1)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) (cbrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(fma.f32 (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)
(fma.f32 -2 (/.f32 1 (+.f32 1 (neg.f32 (/.f32 1 x)))) 1)
(fma.f32 (/.f32 1 (+.f32 (/.f32 1 x) -1)) 2 1)
(fma.f32 (/.f32 2 (+.f32 -1 (pow.f32 x -3))) (-.f32 (+.f32 (pow.f32 x -2) 1) (/.f32 -1 x)) 1)
(fma.f32 (/.f32 2 (+.f32 (pow.f32 x -2) -1)) (+.f32 (/.f32 1 x) 1) 1)
Outputs
(+.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 0)
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 0 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 (*.f32 1/4 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (*.f32 1/4 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 (*.f32 1/3 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (*.f32 1/3 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 1)
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(-.f32 (log.f32 (sqrt.f32 (-.f32 1 (*.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2))))) (log.f32 (sqrt.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(-.f32 (log.f32 (sqrt.f32 (+.f32 1 (*.f32 -4 (pow.f32 (+.f32 (/.f32 1 x) -1) -2))))) (log.f32 (sqrt.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(-.f32 (log.f32 (sqrt.f32 (+.f32 1 (*.f32 (pow.f32 (+.f32 (/.f32 1 x) -1) -2) -4)))) (log.f32 (sqrt.f32 (+.f32 1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))))))
(-.f32 (log.f32 (sqrt.f32 (fma.f32 (pow.f32 (+.f32 (/.f32 1 x) -1) -2) -4 1))) (log.f32 (sqrt.f32 (+.f32 1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))))))
(-.f32 (log.f32 (sqrt.f32 (fma.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) -3) 1))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1) 1))))
(-.f32 (log.f32 (sqrt.f32 (fma.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) -3) 1))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) -1) 1))))
(-.f32 (log.f32 (sqrt.f32 (fma.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) -3) 1))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (+.f32 -1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))))
(-.f32 (log.f32 (sqrt.f32 (fma.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) -3) 1))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (-.f32 -1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))) 1))))
(*.f32 1 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 2 (*.f32 1/4 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 3 (*.f32 1/3 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 1/3 (*.f32 3/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) 1/2)
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3) 1/3)
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3)
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(sqrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(expm1.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(log1p.f32 (expm1.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (log.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (log.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) 1/3))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 3))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1) 1))
(*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 0 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(hypot.f32 1 (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (hypot.f32 1 (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (hypot.f32 1 (sqrt.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) 1)
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(fma.f32 -2 (/.f32 1 (+.f32 1 (/.f32 -1 x))) 1)
(+.f32 1 (/.f32 -2 (+.f32 1 (/.f32 -1 x))))
(fma.f32 (/.f32 1 (+.f32 (/.f32 1 x) -1)) 2 1)
(+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(fma.f32 (/.f32 2 (+.f32 -1 (pow.f32 x -3))) (-.f32 (+.f32 (pow.f32 x -2) 1) (/.f32 -1 x)) 1)
(fma.f32 (/.f32 2 (+.f32 -1 (pow.f32 x -3))) (+.f32 (pow.f32 x -2) (-.f32 1 (/.f32 -1 x))) 1)
(fma.f32 (/.f32 2 (+.f32 -1 (pow.f32 x -3))) (+.f32 1 (-.f32 (pow.f32 x -2) (/.f32 -1 x))) 1)
(fma.f32 (/.f32 2 (+.f32 -1 (pow.f32 x -3))) (+.f32 1 (+.f32 (pow.f32 x -2) (/.f32 1 x))) 1)
(fma.f32 (/.f32 2 (+.f32 (pow.f32 x -2) -1)) (+.f32 (/.f32 1 x) 1) 1)
(fma.f32 (/.f32 2 (+.f32 -1 (pow.f32 x -2))) (+.f32 1 (/.f32 1 x)) 1)

localize90.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))
✓0.1b
(/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))
0.3b
(/.f32 2 (+.f32 (/.f32 1 x) -1))
✓24.5b
(+.f32 1 (log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))
Compiler

Compiled 84 to 71 computations (15.5% saved)

series51.0ms (0.6%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(+.f32 1 (log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))
1.0ms
x
@inf
(+.f32 1 (log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))
1.0ms
x
@-inf
(+.f32 1 (log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))
0.0ms
x
@inf
(log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))
0.0ms
x
@-inf
(log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))
Compiler

Compiled 4730 to 4100 computations (13.3% saved)

rewrite73.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
603×log-prod_binary32
365×fma-def_binary32
358×prod-diff_binary32
242×expm1-udef_binary32
242×log1p-udef_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01356
129247
2392047
Stop Event
1×node limit
Counts
3 → 150
Calls
Call 1
Inputs
(+.f32 1 (log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))
(/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))
(log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (/.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 2) (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) (sqrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (/.f32 1 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1) (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (+.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))) (neg.f32 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))) (neg.f32 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) 1) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1) (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (pow.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (sqrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))) (cbrt.f32 (exp.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (exp.f32 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))) (cbrt.f32 (exp.f32 (-.f32 (*.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (exp.f32 (-.f32 (*.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))) (cbrt.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (*.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (exp.f32 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))) (sqrt.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 1 (/.f32 2 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(cbrt.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (exp.f32 2/3)) (/.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (exp.f32 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (exp.f32 1/2)) (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (exp.f32 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (exp.f32 1/2)) (/.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (exp.f32 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (E.f32) (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)) (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (sqrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (E.f32) (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (neg.f32 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simplify109.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
847×times-frac_binary32
610×fma-neg_binary32
562×unswap-sqr_binary32
259×log-prod_binary32
226×div-sub_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03423272
18263183
230663174
Stop Event
1×node limit
Counts
150 → 199
Calls
Call 1
Inputs
(-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(-.f32 (exp.f32 (log1p.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0))) 1)
(-.f32 (/.f32 1 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (/.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(-.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(*.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0))
(*.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) 1)
(*.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 2))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 2) (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) (sqrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1)))
(*.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (/.f32 1 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(/.f32 1 (/.f32 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1) (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))))
(/.f32 1 (/.f32 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (+.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
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(log1p.f32 (expm1.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(exp.f32 (log.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(exp.f32 (*.f32 (log.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1))
(fma.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) -1)
(fma.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -1)
(fma.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) 1 -1)
(fma.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 2) -1)
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 2) (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) -1)
(fma.f32 (sqrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) (sqrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) -1)
(fma.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1)) -1)
(fma.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (/.f32 1 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) -1)
(fma.f32 (*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) -1)
(fma.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) -1)
Outputs
(-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(-.f32 (exp.f32 (log1p.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0))) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(-.f32 (/.f32 1 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (/.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(-.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 2))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 2) (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) (sqrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1)))
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 -1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -2) 1))
(*.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (/.f32 1 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(/.f32 1 (/.f32 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1) (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))))
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 -1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -2) 1))
(/.f32 1 (/.f32 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1))
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 -1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -2) 1))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (+.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 -1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -2) 1))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))) (neg.f32 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1)))
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 -1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -2) 1))
(/.f32 (neg.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))) (neg.f32 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(/.f32 (-.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2) 1) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(pow.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(pow.f32 (pow.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) 3) 1/3)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 3)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(pow.f32 (sqrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 2)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(pow.f32 (/.f32 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1) (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))) -1)
(*.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 -1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -2) 1))
(pow.f32 (/.f32 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))) -1)
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(sqrt.f32 (pow.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) 2))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log.f32 (exp.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(cbrt.f32 (pow.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) 3))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(expm1.f32 (log1p.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (expm1.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (log.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(exp.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 1))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(fma.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(fma.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(fma.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (pow.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(fma.f32 (sqrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (sqrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(fma.f32 (*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(fma.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(+.f32 0 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))
(/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))
(/.f32 (-.f32 1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))) (E.f32))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))) (cbrt.f32 (exp.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))) (E.f32)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))) (E.f32))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))) (E.f32))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))) 1)
(/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))
(/.f32 (-.f32 1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))) (E.f32))
(*.f32 1 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))
(/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))
(/.f32 (-.f32 1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))) (E.f32))
(*.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (exp.f32 -1))
(/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))
(/.f32 (-.f32 1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))) (E.f32))
(*.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)) 1)
(/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))
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(-.f32 (log1p.f32 (/.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) 3))) (+.f32 1 (log.f32 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (+.f32 -1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))))
(+.f32 (log1p.f32 (/.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) 3))) (-.f32 -1 (log1p.f32 (*.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (+.f32 -1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(-.f32 (*.f32 2 (*.f32 1/3 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (log.f32 (/.f32 (E.f32) (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(-.f32 (*.f32 2/3 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (log.f32 (/.f32 (E.f32) (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(+.f32 (-.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2/3) 1) (log.f32 (cbrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(+.f32 (fma.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2/3 -1) (log.f32 (cbrt.f32 (-.f32 1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))))))
(-.f32 (log1p.f32 (neg.f32 (/.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2)))) (log.f32 (*.f32 (E.f32) (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(-.f32 (log1p.f32 (/.f32 -4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2))) (log.f32 (*.f32 (E.f32) (+.f32 1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))))))
(+.f32 (log1p.f32 (/.f32 -4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2))) (-.f32 -1 (log1p.f32 (/.f32 -2 (+.f32 (/.f32 1 x) -1)))))
(-.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (log.f32 (/.f32 (E.f32) (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(-.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/2) (log.f32 (/.f32 (E.f32) (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(+.f32 (-.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/2) 1) (log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(+.f32 (fma.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/2 -1) (log.f32 (sqrt.f32 (-.f32 1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))))))
(-.f32 (+.f32 (log.f32 -1) (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (log.f32 -1) 1))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(-.f32 (log.f32 (neg.f32 (+.f32 -1 (neg.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) (log.f32 (neg.f32 (neg.f32 (E.f32)))))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(-.f32 (log.f32 (*.f32 (+.f32 1 (/.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) 3))) 1)) (log.f32 (*.f32 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1) 1) (E.f32))))
(-.f32 (log1p.f32 (/.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) 3))) (log.f32 (*.f32 (E.f32) (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) -1) 1))))
(-.f32 (log1p.f32 (/.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) 3))) (+.f32 1 (log.f32 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (+.f32 -1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))))
(+.f32 (log1p.f32 (/.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) 3))) (-.f32 -1 (log1p.f32 (*.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (+.f32 -1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(-.f32 (log.f32 (*.f32 (-.f32 1 (/.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2))) 1)) (log.f32 (*.f32 (-.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32))))
(-.f32 (log1p.f32 (/.f32 -4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2))) (log.f32 (*.f32 (E.f32) (+.f32 1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))))))
(+.f32 (log1p.f32 (/.f32 -4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2))) (-.f32 -1 (log1p.f32 (/.f32 -2 (+.f32 (/.f32 1 x) -1)))))
(-.f32 (log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (exp.f32 1/2))) 1/2)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(-.f32 (log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)) 1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(-.f32 (log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (exp.f32 2/3))) 1/3)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(-.f32 (log.f32 (*.f32 (+.f32 1 (/.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) 3))) (exp.f32 -1))) (log1p.f32 (*.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (-.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) 1))))
(-.f32 (log1p.f32 (/.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) 3))) (log.f32 (*.f32 (E.f32) (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (+.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) -1) 1))))
(-.f32 (log1p.f32 (/.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) 3))) (+.f32 1 (log.f32 (fma.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (+.f32 -1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))))
(+.f32 (log1p.f32 (/.f32 8 (pow.f32 (+.f32 (/.f32 1 x) -1) 3))) (-.f32 -1 (log1p.f32 (*.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)) (+.f32 -1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(-.f32 (log.f32 (*.f32 (-.f32 1 (/.f32 4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2))) (exp.f32 -1))) (log1p.f32 (neg.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(-.f32 (log1p.f32 (/.f32 -4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2))) (log.f32 (*.f32 (E.f32) (+.f32 1 (/.f32 -2 (+.f32 (/.f32 1 x) -1))))))
(+.f32 (log1p.f32 (/.f32 -4 (pow.f32 (+.f32 (/.f32 1 x) -1) 2))) (-.f32 -1 (log1p.f32 (/.f32 -2 (+.f32 (/.f32 1 x) -1)))))
(*.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 2 (-.f32 (*.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1/2))
(*.f32 2 (fma.f32 1/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -1/2))
(*.f32 2 (fma.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1/2 -1/2))
(*.f32 -1 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (pow.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2) (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 (sqrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (sqrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 3 (*.f32 1/3 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(*.f32 1/3 (*.f32 3 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) 1) (fma.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (+.f32 1 (*.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))))
(/.f32 (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3) -1) (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(/.f32 (+.f32 -1 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 3)) (+.f32 (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)))
(/.f32 (fma.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -1) (+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1))
(/.f32 (+.f32 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2) -1) (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(/.f32 (+.f32 -1 (pow.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 2)) (+.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (cbrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 3)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (sqrt.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 2)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(pow.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3) 1/3)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(neg.f32 (-.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(neg.f32 (log.f32 (/.f32 (/.f32 (E.f32) (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1)))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(sqrt.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(cbrt.f32 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(expm1.f32 (log.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(expm1.f32 (log.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(expm1.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 1))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(log1p.f32 (expm1.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (log.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(exp.f32 (*.f32 (log.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1))
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(fma.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) -1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(fma.f32 1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(fma.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0) 1 -1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(fma.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 2) -1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) 2) (cbrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) -1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(fma.f32 (sqrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) (sqrt.f32 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 0)) -1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(fma.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (-.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 1) 1)) -1)
(fma.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (/.f32 1 (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 -1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) 1)) -1)
(+.f32 -1 (/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3)) (fma.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (+.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) -2) 1)))
(fma.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (/.f32 1 (-.f32 1 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))) -1)
(fma.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (/.f32 1 (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) -1)
(+.f32 -1 (/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 2)) (-.f32 2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))))
(fma.f32 (*.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))) (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) -1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))
(fma.f32 (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) (sqrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) -1)
(+.f32 -1 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))))

localize129.0ms (1.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))
✓0.1b
(*.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))
0.3b
(/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x)))
✓0.3b
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
Compiler

Compiled 138 to 120 computations (13% saved)

series15.0ms (0.2%)

Counts
2 → 0
Calls

6 calls:

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

Compiled 1460 to 1240 computations (15.1% saved)

rewrite70.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
920×pow1_binary32
860×add-log-exp_binary32
859×log1p-expm1-u_binary32
859×expm1-log1p-u_binary32
844×add-exp-log_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120020
2247720
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) 1)))) (#(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 1 (+.f32 -1/2 (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (*.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 1 (+.f32 1/2 (neg.f32 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 2)) (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2) -1) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1) (pow.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 -1/8 (/.f32 1/8 (pow.f32 x 3)))) (+.f32 1/4 (-.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1/4 (/.f32 1/4 (*.f32 x x)))) (-.f32 -1/2 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (*.f32 (+.f32 1/2 (neg.f32 (/.f32 1/2 x))) (+.f32 1/2 (neg.f32 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 -1/2 (/.f32 1/2 x)) (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (+.f32 -1/2 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (/.f32 (+.f32 -1/2 (/.f32 1/2 x)) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (/.f32 (+.f32 -1/2 (/.f32 1/2 x)) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (neg.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (*.f32 (+.f32 1/2 (neg.f32 (/.f32 1/2 x))) (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (*.f32 (+.f32 -1/2 (/.f32 1/2 x)) (+.f32 1/2 (neg.f32 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) (+.f32 1/2 (neg.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) -1) (+.f32 1/2 (neg.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1) (+.f32 -1/2 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2)) (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -1 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) (+.f32 1/2 (neg.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (/.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))))))

simplify48.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
565×log-div_binary32
543×unswap-sqr_binary32
487×log-prod_binary32
400×fma-neg_binary32
370×associate-/l*_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0135994
1328835
21059689
36198689
Stop Event
1×node limit
Counts
57 → 74
Calls
Call 1
Inputs
(-.f32 (+.f32 1 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) 1)
(*.f32 1 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1)
(*.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (*.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1))
(*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))
(*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) 1))
(*.f32 -1 (/.f32 1 (+.f32 1/2 (neg.f32 (/.f32 1/2 x)))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 2)) (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2) -1) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1) (pow.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1))
(*.f32 (/.f32 1 (+.f32 -1/8 (/.f32 1/8 (pow.f32 x 3)))) (+.f32 1/4 (-.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 -1/4 x))))
(*.f32 (/.f32 1 (-.f32 1/4 (/.f32 1/4 (*.f32 x x)))) (-.f32 -1/2 (/.f32 1/2 x)))
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1)
(pow.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1/2)
(pow.f32 (/.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)) 1/3)
(pow.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) 2)
(sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(fabs.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))
(log.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(cbrt.f32 (/.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)))
(expm1.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(log1p.f32 (expm1.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(exp.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(-.f32 (+.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 1)
(/.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2))
(/.f32 1 (*.f32 (+.f32 1/2 (neg.f32 (/.f32 1/2 x))) (+.f32 1/2 (neg.f32 (/.f32 1/2 x)))))
(/.f32 1 (/.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2) 1))
(/.f32 1 (/.f32 (+.f32 -1/2 (/.f32 1/2 x)) (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(/.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (+.f32 -1/2 (/.f32 1/2 x)))
(/.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (/.f32 (+.f32 -1/2 (/.f32 1/2 x)) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))))
(/.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (/.f32 (+.f32 -1/2 (/.f32 1/2 x)) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)))
(/.f32 -1 (neg.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2)))
(/.f32 -1 (*.f32 (+.f32 1/2 (neg.f32 (/.f32 1/2 x))) (+.f32 -1/2 (/.f32 1/2 x))))
(/.f32 -1 (*.f32 (+.f32 -1/2 (/.f32 1/2 x)) (+.f32 1/2 (neg.f32 (/.f32 1/2 x)))))
(/.f32 (neg.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) (+.f32 1/2 (neg.f32 (/.f32 1/2 x))))
(/.f32 (*.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) -1) (+.f32 1/2 (neg.f32 (/.f32 1/2 x))))
(/.f32 (/.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(/.f32 (/.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1) (+.f32 -1/2 (/.f32 1/2 x)))
(/.f32 (/.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2)) (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(/.f32 (*.f32 -1 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) (+.f32 1/2 (neg.f32 (/.f32 1/2 x))))
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(pow.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 2)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1)
(pow.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 3) 1/3)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2) -1)
(pow.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 3)
(sqrt.f32 (pow.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 4))
(log.f32 (exp.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(cbrt.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 3))
(cbrt.f32 (/.f32 (/.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)))
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(exp.f32 (log.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
Outputs
(-.f32 (+.f32 1 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) 1)
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 1 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1)
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(/.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(*.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(/.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (*.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 1))
(*.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(/.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2))
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (*.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) 1))
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 -1 (/.f32 1 (+.f32 1/2 (neg.f32 (/.f32 1/2 x)))))
(/.f32 -1 (+.f32 1/2 (/.f32 -1/2 x)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 2)) (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(*.f32 (fabs.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2) -1) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1))
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1) (pow.f32 (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) -1))
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (/.f32 1 (+.f32 -1/8 (/.f32 1/8 (pow.f32 x 3)))) (+.f32 1/4 (-.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 -1/4 x))))
(/.f32 (-.f32 (/.f32 1/4 (*.f32 x x)) (-.f32 (/.f32 -1/4 x) 1/4)) (+.f32 -1/8 (/.f32 1/8 (pow.f32 x 3))))
(/.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 1/4 (/.f32 1/4 x))) (+.f32 -1/8 (/.f32 1/8 (pow.f32 x 3))))
(*.f32 (/.f32 1 (-.f32 1/4 (/.f32 1/4 (*.f32 x x)))) (-.f32 -1/2 (/.f32 1/2 x)))
(*.f32 (/.f32 1 (-.f32 1/4 (/.f32 1/4 (*.f32 x x)))) (+.f32 -1/2 (/.f32 -1/2 x)))
(/.f32 (+.f32 -1/2 (/.f32 -1/2 x)) (+.f32 1/4 (/.f32 -1/4 (*.f32 x x))))
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1)
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(pow.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1)
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1/2)
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(pow.f32 (/.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)) 1/3)
(cbrt.f32 (/.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)))
(pow.f32 (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) 3)
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) 2)
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(fabs.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(log.f32 (exp.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(cbrt.f32 (/.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)))
(expm1.f32 (log1p.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(log1p.f32 (expm1.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(exp.f32 (neg.f32 (log.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(+.f32 1 (-.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1))
(+.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 0)
(/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))
(-.f32 (+.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 1)
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(/.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(/.f32 1 (*.f32 (+.f32 1/2 (neg.f32 (/.f32 1/2 x))) (+.f32 1/2 (neg.f32 (/.f32 1/2 x)))))
(/.f32 1 (*.f32 (+.f32 1/2 (/.f32 -1/2 x)) (+.f32 1/2 (/.f32 -1/2 x))))
(/.f32 1 (/.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2) 1))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(/.f32 1 (/.f32 (+.f32 -1/2 (/.f32 1/2 x)) (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(/.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (+.f32 -1/2 (/.f32 1/2 x)))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(/.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (/.f32 (+.f32 -1/2 (/.f32 1/2 x)) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (+.f32 -1/2 (/.f32 1/2 x))) (/.f32 1 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(/.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (*.f32 (+.f32 -1/2 (/.f32 1/2 x)) (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))))
(/.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 4))
(/.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2) (/.f32 (+.f32 -1/2 (/.f32 1/2 x)) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -1/2)))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(/.f32 -1 (neg.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2)))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(/.f32 -1 (*.f32 (+.f32 1/2 (neg.f32 (/.f32 1/2 x))) (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(/.f32 -1 (*.f32 (+.f32 -1/2 (/.f32 1/2 x)) (+.f32 1/2 (neg.f32 (/.f32 1/2 x)))))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(/.f32 (neg.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) (+.f32 1/2 (neg.f32 (/.f32 1/2 x))))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(/.f32 (*.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) -1) (+.f32 1/2 (neg.f32 (/.f32 1/2 x))))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(/.f32 (/.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x)))) (sqrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(/.f32 (/.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 1) (+.f32 -1/2 (/.f32 1/2 x)))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(/.f32 (/.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))) 2)) (cbrt.f32 (+.f32 -1/2 (/.f32 1/2 x))))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(/.f32 (*.f32 -1 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))) (+.f32 1/2 (neg.f32 (/.f32 1/2 x))))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 2)
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1)
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(pow.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 3) 1/3)
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 2) -1)
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(pow.f32 (cbrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)) 3)
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(sqrt.f32 (pow.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) 4))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(log.f32 (exp.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(cbrt.f32 (pow.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 3))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(cbrt.f32 (/.f32 (/.f32 1 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)) (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) 3)))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)
(exp.f32 (log.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)))
(+.f32 1 (-.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 1))
(+.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2) 0)
(pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2)

eval501.0ms (5.5%)

Compiler

Compiled 18178 to 16545 computations (9% saved)

prune162.0ms (1.8%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New6782680
Fresh000
Picked101
Done088
Total67910689
Error
0b
Counts
689 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(*.f32 1/2 (-.f32 (log1p.f32 (neg.f32 (/.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (+.f32 -1/2 (/.f32 1/2 x))))) (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
✓24.5b
(*.f32 1/2 (+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)))
✓24.8b
(*.f32 1/2 (+.f32 1 (log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))))
0.4b
(*.f32 1/2 (*.f32 2 (*.f32 1/3 (*.f32 3/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
✓24.7b
(*.f32 1/2 (*.f32 2 (log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
✓0.1b
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
✓0.2b
(*.f32 1/2 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1))))
✓0.3b
(*.f32 1/2 (log1p.f32 (+.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) (/.f32 2 (-.f32 (/.f32 1 x) x)))))
✓0.3b
(*.f32 1/2 (log1p.f32 (*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (+.f32 1 x))))
✓18.5b
(*.f32 1/2 (exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))
Compiler

Compiled 163 to 143 computations (12.3% saved)

regimes58.0ms (0.6%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.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 (log1p.f32 (*.f32 (/.f32 2 (-.f32 (/.f32 1 x) x)) (+.f32 1 x))))
(*.f32 1/2 (+.f32 1 (-.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1))) 1)))
(*.f32 1/2 (*.f32 2 (*.f32 1/3 (*.f32 3/2 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(*.f32 1/2 (log1p.f32 (+.f32 (/.f32 (*.f32 x 2) (-.f32 (/.f32 1 x) x)) (/.f32 2 (-.f32 (/.f32 1 x) x)))))
(*.f32 1/2 (*.f32 2 (log.f32 (sqrt.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1)))))))
(*.f32 1/2 (+.f32 1 (log.f32 (/.f32 (+.f32 1 (/.f32 2 (+.f32 (/.f32 1 x) -1))) (E.f32)))))
(*.f32 1/2 (-.f32 (log1p.f32 (neg.f32 (/.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (+.f32 -1/2 (/.f32 1/2 x))))) (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(*.f32 1/2 (-.f32 (log1p.f32 (neg.f32 (*.f32 (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x))) (/.f32 1 (+.f32 -1/2 (/.f32 1/2 x)))))) (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(*.f32 1/2 (log1p.f32 (sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))))
(*.f32 1/2 (exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))
(*.f32 1/2 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 3))
(*.f32 1/2 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))) 3))
(*.f32 1/2 (-.f32 (log1p.f32 (neg.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))) (log1p.f32 (/.f32 -1 (+.f32 -1/2 (/.f32 1/2 x))))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 (pow.f32 x 3)) (+.f32 (pow.f32 x 3) (fma.f32 x x x))))))
(*.f32 1/2 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2) (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))
(*.f32 1/2 (+.f32 (log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x))))) (log.f32 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 2 x 2) (-.f32 (/.f32 1 x) x)))))))
Outputs
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
Calls

4 calls:

15.0ms
(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
11.0ms
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
10.0ms
x
9.0ms
(/.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 352 to 299 computations (15.1% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-8.8%)

Threshold costs -0.0b (-8.8%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.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 2 (-.f32 (/.f32 1 x) 1))))
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary32
3×+-commutative_binary32
3×sub-neg_binary32
1×neg-sub0_binary32
1×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01530
12530
22930
33130
43230
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (-.f32 (/.f32 1 x) 1))))
Outputs
(*.f32 1/2 (log1p.f32 (/.f32 (*.f32 2 x) (-.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) -1))))
Compiler

Compiled 22 to 19 computations (13.6% saved)

soundness0.0ms (0%)

end20.0ms (0.2%)

Compiler

Compiled 21 to 18 computations (14.3% saved)

Profiling

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