Details

Time bar (total: 16.7s)

analyze329.0ms (2%)

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 (84.2%)

Results
4.2s4008×body1024invalid
4.2s4053×body1024valid
1.6s2016×body512valid
1.5s2000×body512invalid
863.0ms522×body2048valid
708.0ms1035×body256valid
615.0ms1019×body256invalid
214.0ms520×body128valid
27.0ms110×body64valid
4.0ms3×body2048invalid
1.0ms7×body64invalid
1.0ms2×body128invalid

preprocess50.0ms (0.3%)

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)

simplify38.0ms (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)))

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
62.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶62.1b
(*.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
✓0.0b
(*.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)))
✓0.3b
(*.f64 (PI.f64) f)
✓1.5b
(/.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))))
✓5.1b
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))

series84.0ms (0.5%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
36.0ms
f
@inf
(*.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)))
34.0ms
f
@-inf
(*.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)))
5.0ms
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
(*.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)))
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))))

rewrite121.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
726×prod-diff_binary64
354×fma-def_binary64
344×expm1-udef_binary64
344×log1p-udef_binary64
196×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018128
1397128
25232128
Stop Event
1×node limit
Counts
4 → 188
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)
(*.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)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 (PI.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 (pow.f64 (pow.f64 (exp.f64 (PI.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 (pow.f64 (pow.f64 (exp.f64 (PI.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 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 -1 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (*.f64 (PI.f64) f))) (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (pow.f64 (exp.f64 (PI.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 (pow.f64 (pow.f64 (exp.f64 (PI.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 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simplify64.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
740×times-frac_binary64
610×fma-def_binary64
352×associate-/l*_binary64
314×*-commutative_binary64
311×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01351691
14261557
216231407
Stop Event
1×node limit
Counts
236 → 219
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 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -2 (/.f64 (*.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)))))))) (PI.f64))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.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)) (PI.f64))) (*.f64 -2 (/.f64 (*.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)))))))) (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.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)) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.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)))))))) (PI.f64))) (*.f64 -2/3 (/.f64 (*.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)))))))))) (PI.f64))))))
(*.f64 -4 (/.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))))))) (PI.f64)))
(*.f64 -4 (/.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))))))) (PI.f64)))
(*.f64 -4 (/.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))))))) (PI.f64)))
(*.f64 -4 (/.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))))))) (PI.f64)))
(*.f64 -4 (/.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))))))) (PI.f64)))
(*.f64 -4 (/.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))))))) (PI.f64)))
(*.f64 -4 (/.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))))))) (PI.f64)))
(*.f64 -4 (/.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))))))) (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 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 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192)))
(+.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 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))
(fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))
(+.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 (*.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))
(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 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.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 (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 (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 (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 (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 (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 (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 (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 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(/.f64 2 (*.f64 (PI.f64) (*.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 2 (*.f64 (PI.f64) (*.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 1/16 (/.f64 (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))))))))
(+.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 0) (*.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))))
(fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) (/.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 (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)))))))))
(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 1/16 (/.f64 (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))))))))
(+.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 0) (*.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))))
(fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))
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(*.f64 -4 (/.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))))))) (PI.f64)))
(*.f64 -4 (/.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))))) (PI.f64)))
(*.f64 -4 (/.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))))))) (PI.f64)))
(*.f64 -4 (/.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))))) (PI.f64)))

prune321.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2306236
Fresh000
Picked101
Done000
Total2316237
Error
1.9b
Counts
237 → 6
Alt Table
StatusErrorProgram
2.2b
(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
▶2.1b
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) 0) (PI.f64)) (*.f64 f f) 0)))
62.1b
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 3))
2.4b
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
2.2b
(*.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 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
62.1b
(*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 11974 to 7749 computations (35.3% saved)

localize25.0ms (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 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) 0)
✓1.0b
(fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2))
✓1.0b
(*.f64 1/192 (*.f64 2 (PI.f64)))
✓2.0b
(log.f64 (/.f64 4 (PI.f64)))

series0.0ms (0%)

Counts
4 → 0

rewrite77.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
758×log-prod_binary64
297×expm1-udef_binary64
297×log1p-udef_binary64
292×pow1/3_binary64
267×pow3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01858
137849
2422345
Stop Event
1×node limit
Counts
4 → 133
Calls
Call 1
Inputs
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 1/192 (*.f64 2 (PI.f64)))
(fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2))
(fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -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 (pow.f64 (/.f64 4 (PI.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 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2))))))) (#(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 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))))) (#(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 (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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.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 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(PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))))) (#(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 3 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (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)) (fma.f64 (log.f64 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simplify7.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
133 → 133
Calls
Call 1
Inputs
Outputs

prune605.0ms (3.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1321133
Fresh055
Picked101
Done000
Total1336139
Error
1.9b
Counts
139 → 6
Alt Table
StatusErrorProgram
2.2b
(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
62.1b
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 3))
2.4b
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
▶2.1b
(fma.f64 -4 (/.f64 (-.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (PI.f64)))) (log.f64 f)) (PI.f64)) (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) 0) (PI.f64)) (*.f64 f f) 0)))
2.2b
(*.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 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
62.1b
(*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 6067 to 4288 computations (29.3% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series0.0ms (0%)

Counts
2 → 0

rewrite39.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
641×pow1_binary64
596×add-log-exp_binary64
595×log1p-expm1-u_binary64
595×expm1-log1p-u_binary64
582×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0919
117815
2197015
Stop Event
1×node limit
Counts
2 → 34
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (PI.f64))))
(*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4)))
Outputs
((#(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 (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 (+.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 expm1.f64 (log1p.f64 (log.f64 (*.f64 4 (PI.f64)))))))) (#(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 -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (log.f64 4)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 4)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 4) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 4))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 4)) 2)))))))

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
34 → 34
Calls
Call 1
Inputs
Outputs

prune236.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New79079
Fresh055
Picked011
Done000
Total79685
Error
1.9b
Counts
85 → 6
Alt Table
StatusErrorProgram
2.2b
(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
62.1b
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 3))
2.4b
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
✓2.1b
(fma.f64 -4 (/.f64 (-.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (PI.f64)))) (log.f64 f)) (PI.f64)) (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) 0) (PI.f64)) (*.f64 f f) 0)))
▶2.2b
(*.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 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
62.1b
(*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 4178 to 3069 computations (26.5% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(*.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 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
✓1.0b
(pow.f64 (PI.f64) 5)
✓1.0b
(pow.f64 (PI.f64) 3)
✓1.5b
(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 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))

series19.0ms (0.1%)

Counts
4 → 24
Calls

6 calls:

TimeVariablePointExpression
5.0ms
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))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))
4.0ms
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))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))
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))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))
2.0ms
f
@0
(*.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 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
2.0ms
f
@inf
(*.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 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 -4 (PI.f64)))

rewrite62.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
329×add-sqr-sqrt_binary64
318×pow1_binary64
316×add-log-exp_binary64
313×log1p-expm1-u_binary64
313×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032141
1699135
Stop Event
1×node limit
Counts
4 → 87
Calls
Call 1
Inputs
(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 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))))
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(*.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 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (/.f64 1 (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (neg.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 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simplify69.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
832×fma-def_binary64
670×associate-/r*_binary64
445×associate-/l*_binary64
414×times-frac_binary64
342×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02322757
17262630
226992567
Stop Event
1×node limit
Counts
111 → 132
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/4 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))) (+.f64 (*.f64 3/2 (*.f64 (-.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/48 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (PI.f64)))) (PI.f64))) (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
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(-.f64 (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
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(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64))))
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Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))))) (fma.f64 1/2 (*.f64 f (*.f64 (PI.f64) 0)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (*.f64 f 0)))
(-.f64 (fma.f64 (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (*.f64 1/2 (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
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(fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))))) (fma.f64 1/2 (*.f64 f (*.f64 (PI.f64) 0)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (*.f64 f 0)))
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(fma.f64 -4 (/.f64 (fma.f64 5 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 5)) -61440))) (PI.f64)) (fma.f64 -1/6 (/.f64 (fma.f64 1/2560 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)))) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (/.f64 (pow.f64 (PI.f64) 9) 4404019200))) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (*.f64 (PI.f64) (pow.f64 f 4))) (/.f64 1280 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 -1/180 (/.f64 (-.f64 (+.f64 (*.f64 15/4 (/.f64 (*.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 3)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (*.f64 3/256 (/.f64 (*.f64 (+.f64 (*.f64 -320 (/.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))) (*.f64 603979776000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))) (*.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (*.f64 (pow.f64 f 6) (PI.f64)))) (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 -1/6 (/.f64 (-.f64 (*.f64 1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (*.f64 (pow.f64 f 4) (PI.f64)))))))
(+.f64 (/.f64 1280 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (fma.f64 -1/180 (/.f64 (-.f64 (fma.f64 15/4 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 3))) (*.f64 3/256 (/.f64 (fma.f64 -320 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200) (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 603979776000 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 11))) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5))))) (/.f64 7864320000 (pow.f64 (PI.f64) 6))) (*.f64 (PI.f64) (pow.f64 f 6))) (fma.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)) -61440)) (*.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64)) (*.f64 -1/6 (/.f64 (-.f64 (*.f64 1/2560 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)))) (/.f64 1228800 (pow.f64 (PI.f64) 4))) (*.f64 (PI.f64) (pow.f64 f 4)))))))
(+.f64 (/.f64 1280 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (fma.f64 -1/180 (/.f64 (fma.f64 15/4 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200))) (fma.f64 3/256 (*.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 11)) 603979776000 (*.f64 -320 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) (/.f64 (pow.f64 (PI.f64) 2) 4404019200)))) (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)) (/.f64 -7864320000 (pow.f64 (PI.f64) 6)))) (*.f64 (PI.f64) (pow.f64 f 6))) (fma.f64 -4 (/.f64 (fma.f64 5 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)) -61440))) (PI.f64)) (*.f64 -1/6 (/.f64 (fma.f64 1/2560 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200))) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (*.f64 (PI.f64) (pow.f64 f 4)))))))
(fma.f64 -1/180 (/.f64 (fma.f64 15/4 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)))) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (/.f64 (pow.f64 (PI.f64) 9) 4404019200))) (fma.f64 3/256 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)))) (fma.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 11)) 603979776000 (*.f64 -320 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) 4404019200) (pow.f64 (PI.f64) 9)))))) (/.f64 -7864320000 (pow.f64 (PI.f64) 6)))) (*.f64 (PI.f64) (pow.f64 f 6))) (fma.f64 -4 (/.f64 (fma.f64 5 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 5)) -61440))) (PI.f64)) (fma.f64 -1/6 (/.f64 (fma.f64 1/2560 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)))) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (/.f64 (pow.f64 (PI.f64) 9) 4404019200))) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (*.f64 (PI.f64) (pow.f64 f 4))) (/.f64 1280 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))))

prune320.0ms (1.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1248132
Fresh134
Picked101
Done011
Total12612138
Error
1.7b
Counts
138 → 12
Alt Table
StatusErrorProgram
2.2b
(*.f64 (+.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (/.f64 1 (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
2.1b
(/.f64 (*.f64 -4 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) (PI.f64))
✓2.1b
(fma.f64 -4 (/.f64 (-.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (PI.f64)))) (log.f64 f)) (PI.f64)) (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) 0) (PI.f64)) (*.f64 f f) 0)))
2.5b
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 3) (pow.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))) 3)) (+.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (+.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) (*.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))) (/.f64 -4 (PI.f64)))
2.2b
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) -4)))
2.2b
(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
2.2b
(*.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))))) (/.f64 -4 (PI.f64)))
2.5b
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
2.4b
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) 2) (/.f64 -4 (PI.f64)))
62.1b
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 3))
12.3b
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))) (/.f64 -4 (PI.f64))))
62.1b
(*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 8723 to 6039 computations (30.8% saved)

regimes58.0ms (0.3%)

Accuracy

Total -60.3b remaining (-2857.4%)

Threshold costs -60.3b (-2857.4%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 (+.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (/.f64 1 (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) (PI.f64))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 3) (pow.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))) 3)) (+.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (+.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) (*.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))) (/.f64 -4 (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) -4)))
(*.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))))) (/.f64 -4 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) 2) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))) (/.f64 -4 (PI.f64))))
(fma.f64 -4 (/.f64 (-.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (PI.f64)))) (log.f64 f)) (PI.f64)) (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) 0) (PI.f64)) (*.f64 f f) 0)))
(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) 0) (PI.f64)) (*.f64 f f) 0)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 3))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.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 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.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 -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
(fma.f64 -4 (/.f64 (-.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (PI.f64)))) (log.f64 f)) (PI.f64)) (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) 0) (PI.f64)) (*.f64 f f) 0)))
Results
9.0ms2.1bf
3.0ms2.1b(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))))))))
5.0ms2.1b(*.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)))))))
4.0ms2.1b(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))))))
4.0ms2.1b(/.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)))))
10.0ms2.1b(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 959 to 672 computations (29.9% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
7×*-commutative_binary64
3×+-commutative_binary64
3×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03281
14281
24781
35081
45181
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 -4 (/.f64 (-.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (PI.f64)))) (log.f64 f)) (PI.f64)) (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) 0) (PI.f64)) (*.f64 f f) 0)))
Outputs
(fma.f64 -4 (/.f64 (-.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (PI.f64)))) (log.f64 f)) (PI.f64)) (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) 0) (PI.f64)) (*.f64 f f) 0)))
(fma.f64 -4 (/.f64 (-.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (PI.f64)))) (log.f64 f)) (PI.f64)) (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 -2 (/.f64 (*.f64 (*.f64 (PI.f64) 2) 1/192) 1/2))) 0) (PI.f64)) (*.f64 f f) 0)))

end36.0ms (0.2%)

Stop Event
1×fuel
Compiler

Compiled 100 to 84 computations (16% saved)

Profiling

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