Details

Time bar (total: 22.6s)

analyze395.0ms (1.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%75%25%3
0%62.5%37.5%4
0%56.2%43.8%5
3.1%46.9%50%6
3.1%45.3%51.6%7
3.1%44.5%52.4%8
3.5%44.1%52.4%9
3.7%43.9%52.4%10
3.8%43.8%52.4%11
3.8%43.8%52.4%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

sample14.1s (62.3%)

Results
4.2s3975×body1024valid
4.0s4022×body1024invalid
1.8s2065×body512valid
1.7s2054×body512invalid
828.0ms502×body2048valid
788.0ms1042×body256valid
559.0ms976×body256invalid
258.0ms582×body128valid
21.0ms90×body64valid
5.0ms4×body2048invalid
1.0ms6×body64invalid
0.0ms1×body128invalid

preprocess49.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
738×fma-neg_binary64
569×fma-def_binary64
367×div-sub_binary64
240×associate-/r*_binary64
205×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01764
14961
212259
332655
497555
5255355
6612855
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (neg.f64 (*.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify37.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
738×fma-neg_binary64
569×fma-def_binary64
367×div-sub_binary64
240×associate-/r*_binary64
205×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01764
14961
212259
332655
497555
5255355
6612855
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (neg.f64 (*.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
61.5b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶61.5b
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 136 to 100 computations (26.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
✓0.2b
(*.f64 (PI.f64) f)
✓0.8b
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
✓7.2b
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))

series92.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
43.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
37.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
4.0ms
f
@0
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
3.0ms
f
@0
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
1.0ms
f
@0
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))

rewrite141.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
717×prod-diff_binary64
339×fma-def_binary64
291×expm1-udef_binary64
291×log1p-udef_binary64
270×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015121
1331121
24439121
Stop Event
1×node limit
Counts
4 → 228
Calls
Call 1
Inputs
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (PI.f64) f)
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 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#<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1 (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 1 (*.f64 (PI.f64) f))))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 1 (*.f64 (PI.f64) f)) (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 1 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 1 (*.f64 (PI.f64) f))))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 1 (*.f64 (PI.f64) f)) (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 1 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (cbrt.f64 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simplify50.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
688×fma-def_binary64
669×times-frac_binary64
341×distribute-rgt-in_binary64
335×*-commutative_binary64
326×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01231564
13941442
216061312
Stop Event
1×node limit
Counts
276 → 258
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
Outputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 (*.f64 (PI.f64) 1/2) f)
(*.f64 (PI.f64) (*.f64 f 1/2))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (*.f64 (PI.f64) 1/2) f))
(fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (*.f64 (PI.f64) 1/2) f)))
(fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (*.f64 f (+.f64 (/.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) 1/2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))))))
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(-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))

prune410.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2705275
Fresh000
Picked101
Done000
Total2715276
Error
1.4b
Counts
276 → 5
Alt Table
StatusErrorProgram
61.5b
(*.f64 (log.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (sqrt.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
61.5b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 1) (/.f64 -4 (PI.f64)))
1.7b
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))))) (/.f64 -4 (PI.f64)))
▶1.7b
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (/.f64 -4 (PI.f64)))
1.7b
(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 14416 to 9821 computations (31.9% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)
✓1.0b
(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))
✓1.0b
(fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2))
✓2.0b
(log.f64 (/.f64 4 (PI.f64)))

series0.0ms (0%)

Counts
4 → 0

rewrite88.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
785×log-prod_binary64
315×expm1-udef_binary64
315×log1p-udef_binary64
252×log-pow_binary64
185×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01955
140343
2455739
Stop Event
1×node limit
Counts
4 → 144
Calls
Call 1
Inputs
(log.f64 (/.f64 4 (PI.f64)))
(fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2))
(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))
(fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))) (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -4) (log.f64 (/.f64 1 (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64))))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log.f64 4) (neg.f64 (*.f64 (log.f64 (PI.f64)) 1))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (*.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (log.f64 (PI.f64)) 1))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (*.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (*.f64 (log.f64 (PI.f64)) 1))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (*.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log.f64 4) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (*.f64 (PI.f64) (fma.f64 -1/24 (PI.f64) (*.f64 1/8 (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/2 (*.f64 (PI.f64) (fma.f64 -1/24 (PI.f64) (*.f64 1/8 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 (PI.f64) (fma.f64 -1/24 (PI.f64) (*.f64 1/8 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 (PI.f64) (fma.f64 -1/24 (PI.f64) (*.f64 1/8 (PI.f64))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (fma.f64 -1/24 (PI.f64) (*.f64 1/8 (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (*.f64 (PI.f64) (fma.f64 -1/24 (PI.f64) (*.f64 1/8 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 (PI.f64) (fma.f64 -1/24 (PI.f64) (*.f64 1/8 (PI.f64)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 (PI.f64) (fma.f64 -1/24 (PI.f64) (*.f64 1/8 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 (PI.f64) (fma.f64 -1/24 (PI.f64) (*.f64 1/8 (PI.f64)))))))))))

simplify8.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
144 → 144
Calls
Call 1
Inputs
Outputs

prune706.0ms (3.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1431144
Fresh044
Picked101
Done000
Total1445149
Error
1.4b
Counts
149 → 5
Alt Table
StatusErrorProgram
▶1.6b
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))) (log.f64 f)) (/.f64 -4 (PI.f64)))
61.5b
(*.f64 (log.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (sqrt.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
61.5b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 1) (/.f64 -4 (PI.f64)))
1.7b
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))))) (/.f64 -4 (PI.f64)))
1.7b
(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 5890 to 4088 computations (30.6% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(cbrt.f64 (log.f64 (PI.f64)))
1.0b
(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))
✓1.6b
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))
✓61.9b
(fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))

series0.0ms (0%)

Counts
3 → 0

rewrite68.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
866×pow1_binary64
804×add-log-exp_binary64
803×log1p-expm1-u_binary64
803×expm1-log1p-u_binary64
783×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01429
128220
2300120
Stop Event
1×node limit
Counts
3 → 79
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))
(cbrt.f64 (log.f64 (PI.f64)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 (PI.f64)) 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (PI.f64))) (+.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (+.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (PI.f64)) 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 (PI.f64)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 (PI.f64)) 0)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (PI.f64)) 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (PI.f64)) 0)) 2) (cbrt.f64 (*.f64 (log.f64 (PI.f64)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 (PI.f64)) 0)) (sqrt.f64 (*.f64 (log.f64 (PI.f64)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (pow.f64 (log.f64 (PI.f64)) 2) (-.f64 (pow.f64 (log.f64 (PI.f64)) 2) (pow.f64 (log.f64 (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (PI.f64)) 2) (pow.f64 (log.f64 (PI.f64)) 2)) (-.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 (PI.f64)) 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 (PI.f64)) 0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 (PI.f64)) 0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 (PI.f64)) 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 (PI.f64)) 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 (PI.f64)) 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 (PI.f64)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (PI.f64) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 (PI.f64)) 0)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (PI.f64)) (log.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 4) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (*.f64 4 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 4) 0) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (*.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (*.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (pow.f64 (log.f64 4) 2) (-.f64 (pow.f64 (log.f64 (PI.f64)) 2) (*.f64 (log.f64 4) (log.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 4) 2) (pow.f64 (log.f64 (PI.f64)) 2)) (log.f64 (*.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 4 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 4 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 4 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 4 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 4 (PI.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 4 (PI.f64)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (cbrt.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (log.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (PI.f64)))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (PI.f64)))) 2) (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (PI.f64)) 1/6) (pow.f64 (log.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (PI.f64)) 1/6) (neg.f64 (pow.f64 (log.f64 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (cbrt.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (PI.f64)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 (PI.f64))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (PI.f64)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log.f64 (PI.f64)) 1/6)) (pow.f64 (log.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (PI.f64)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (log.f64 (PI.f64)) 1/6)) (pow.f64 (log.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (cbrt.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (PI.f64)) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (*.f64 0 (cbrt.f64 (log.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (PI.f64)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (PI.f64)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (PI.f64)))))))))

simplify9.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
79 → 79
Calls
Call 1
Inputs
Outputs

prune2.8s (12.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3701371
Fresh044
Picked011
Done000
Total3706376
Error
1.4b
Counts
376 → 6
Alt Table
StatusErrorProgram
✓1.6b
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))) (log.f64 f)) (/.f64 -4 (PI.f64)))
▶1.6b
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (/.f64 (log.f64 (PI.f64)) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (*.f64 0 (cbrt.f64 (log.f64 (PI.f64))))))) (cbrt.f64 (log.f64 (PI.f64)))))))) (log.f64 f)) (/.f64 -4 (PI.f64)))
61.5b
(*.f64 (log.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (sqrt.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
61.5b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 1) (/.f64 -4 (PI.f64)))
1.7b
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))))) (/.f64 -4 (PI.f64)))
1.7b
(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 30632 to 15033 computations (50.9% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(cbrt.f64 (log.f64 (PI.f64)))
1.0b
(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))
1.6b
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))
✓61.9b
(fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (/.f64 (log.f64 (PI.f64)) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (*.f64 0 (cbrt.f64 (log.f64 (PI.f64))))))) (cbrt.f64 (log.f64 (PI.f64))))))

series0.0ms (0%)

Counts
1 → 0

rewrite41.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
745×pow1_binary64
702×add-log-exp_binary64
700×log1p-expm1-u_binary64
700×expm1-log1p-u_binary64
143×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01653
13597
242277
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (/.f64 (log.f64 (PI.f64)) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (*.f64 0 (cbrt.f64 (log.f64 (PI.f64))))))) (cbrt.f64 (log.f64 (PI.f64))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (PI.f64) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (PI.f64) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (PI.f64) 2)) 2)) (cbrt.f64 (log.f64 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (pow.f64 (log.f64 (PI.f64)) 2) (-.f64 (pow.f64 (log.f64 (PI.f64)) 2) (pow.f64 (log.f64 (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (PI.f64)) 2) (pow.f64 (log.f64 (PI.f64)) 2)) (-.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 (PI.f64) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 (PI.f64) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 (PI.f64) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 (PI.f64) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (PI.f64) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 (PI.f64) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (PI.f64) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 (PI.f64) 2))))))))

simplify9.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

prune3.4s (15.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New4000400
Fresh044
Picked011
Done011
Total4006406
Error
1.4b
Counts
406 → 6
Alt Table
StatusErrorProgram
✓1.6b
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))) (log.f64 f)) (/.f64 -4 (PI.f64)))
✓1.6b
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (/.f64 (log.f64 (PI.f64)) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (*.f64 0 (cbrt.f64 (log.f64 (PI.f64))))))) (cbrt.f64 (log.f64 (PI.f64)))))))) (log.f64 f)) (/.f64 -4 (PI.f64)))
61.5b
(*.f64 (log.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (sqrt.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
61.5b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 1) (/.f64 -4 (PI.f64)))
1.7b
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))))) (/.f64 -4 (PI.f64)))
1.7b
(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 37826 to 19829 computations (47.6% saved)

regimes38.0ms (0.2%)

Accuracy

Total -60.1b remaining (-3678.3%)

Threshold costs -60.1b (-3678.3%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (/.f64 (log.f64 (PI.f64)) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (*.f64 0 (cbrt.f64 (log.f64 (PI.f64))))))) (cbrt.f64 (log.f64 (PI.f64)))))))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (sqrt.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 1) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))))) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Outputs
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))) (log.f64 f)) (/.f64 -4 (PI.f64)))
Results
6.0ms1.6bf
3.0ms1.6b(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
3.0ms1.6b(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
5.0ms1.6b(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
3.0ms1.6b(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
6.0ms1.6b(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 575 to 389 computations (32.3% saved)

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Rules
11×*-commutative_binary64
6×+-commutative_binary64
5×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038142
156142
270142
376142
478142
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))) (log.f64 f)) (/.f64 -4 (PI.f64)))
Outputs
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 1/2 (PI.f64)) (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 1/2 (fma.f64 (*.f64 1/2 (PI.f64)) (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) 0)) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (neg.f64 (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))) (log.f64 f)) (/.f64 -4 (PI.f64)))

end39.0ms (0.2%)

Stop Event
1×fuel
Compiler

Compiled 160 to 94 computations (41.3% saved)

Profiling

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