Details

Time bar (total: 20.0s)

analyze572.0ms (2.9%)

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)

sample11.4s (56.9%)

Results
4.1s4072×body1024valid
3.4s3801×body1024invalid
1.2s1966×body512invalid
1.2s2004×body512valid
808.0ms533×body2048valid
482.0ms1647×body256valid
290.0ms950×body256invalid

preprocess81.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
738×fma-neg_binary64
561×fma-def_binary64
368×div-sub_binary64
240×associate-/r*_binary64
206×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01764
14961
212459
332855
497655
5257555
6617755
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 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 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 f) (/.f64 (PI.f64) -4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify55.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
738×fma-neg_binary64
561×fma-def_binary64
368×div-sub_binary64
240×associate-/r*_binary64
206×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01764
14961
212459
332855
497655
5257555
6617755
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 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 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 f) (/.f64 (PI.f64) -4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))

eval1.0ms (0%)

Compiler

Compiled 70 to 52 computations (25.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
61.2b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶61.2b
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
▶61.2b
(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))))))))
Compiler

Compiled 71 to 54 computations (23.9% saved)

localize98.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
✓0.2b
(*.f64 (/.f64 (PI.f64) 4) f)
✓1.7b
(/.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)))))
✓4.5b
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 197 to 144 computations (26.9% saved)

series14.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
f
@-inf
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
2.0ms
f
@0
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
2.0ms
f
@0
(/.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)))))
1.0ms
f
@inf
(*.f64 (/.f64 (PI.f64) 4) f)
1.0ms
f
@-inf
(/.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)))))

rewrite213.0ms (1.1%)

Algorithm
4×egg-rewrite
2×egg-rewrite-iter-limit
1×batch-egg-rewrite
Rules
749×pow1_binary64
700×add-log-exp_binary64
699×log1p-expm1-u_binary64
699×expm1-log1p-u_binary64
687×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01252
127752
2490752
01013
122513
2365813
01013
01228
127728
2490128
01228
068
11308
215598
0812
117410
2219110
Stop Event
1×node limit
1×node limit
1×iter limit
1×unsound
1×iter limit
1×unsound
1×unsound
Counts
4 → 69
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(/.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 (/.f64 (PI.f64) 4) f)
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) 3) (pow.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3)) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (*.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) (*.f64 1/4 f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 4 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 f (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) f) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) f)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) f) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 f (neg.f64 (PI.f64))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 1/4 f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/4 f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/4 f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/4 f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (*.f64 (PI.f64) (*.f64 1/4 f)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 2)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 (PI.f64) (*.f64 1/4 f)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))))

simplify94.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
918×fma-neg_binary64
589×times-frac_binary64
443×fma-def_binary64
427×associate-*l*_binary64
414×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0941090
12981040
21033988
36491988
Stop Event
1×node limit
Counts
117 → 98
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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
1
(+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (*.f64 -1/4 (*.f64 f (PI.f64))))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (neg.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 (*.f64 (PI.f64) f) 1/2)
(*.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 (PI.f64) (*.f64 f 1/2)))
(+.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))))
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(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 (PI.f64) f)) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 (PI.f64) f)) -1/4)))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
1
(+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))
(+.f64 1 (*.f64 -1/4 (*.f64 (PI.f64) f)))
(fma.f64 -1/4 (*.f64 (PI.f64) f) 1)
(fma.f64 (PI.f64) (*.f64 -1/4 f) 1)
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(fma.f64 1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (+.f64 1 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(fma.f64 1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (fma.f64 -1/4 (*.f64 (PI.f64) f) 1))
(fma.f64 (PI.f64) (*.f64 -1/4 f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/32) 1))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (*.f64 -1/4 (*.f64 f (PI.f64))))))
(fma.f64 1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (+.f64 1 (fma.f64 -1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (*.f64 -1/4 (*.f64 (PI.f64) f)))))
(+.f64 (fma.f64 1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (fma.f64 -1/4 (*.f64 (PI.f64) f) 1)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) -1/384)))
(fma.f64 (pow.f64 (PI.f64) 2) (*.f64 f (*.f64 f 1/32)) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) -1/384) (fma.f64 (PI.f64) (*.f64 -1/4 f) 1)))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 (*.f64 (PI.f64) f)) -1/4)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 (*.f64 (PI.f64) f)) -1/4)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 (*.f64 (PI.f64) f)) -1/4)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 (*.f64 (PI.f64) f)) -1/4)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 (*.f64 (PI.f64) f)) -1/4)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 (*.f64 (PI.f64) f)) -1/4)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 (*.f64 (PI.f64) f)) -1/4)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 (*.f64 (PI.f64) f)) -1/4)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)

localize88.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)
✓0.3b
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
✓1.7b
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
✓4.5b
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
Compiler

Compiled 146 to 94 computations (35.6% saved)

series103.0ms (0.5%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
52.0ms
f
@inf
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
38.0ms
f
@-inf
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
5.0ms
f
@0
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
2.0ms
f
@inf
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
2.0ms
f
@-inf
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))

rewrite203.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
655×prod-diff_binary64
652×log-prod_binary64
273×fma-def_binary64
241×expm1-udef_binary64
241×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01488
131388
2442688
Stop Event
1×node limit
Counts
4 → 244
Calls
Call 1
Inputs
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
(pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/2)) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/8) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 f f))) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) 2) f) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) f) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) f))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (*.f64 -3/4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/4 f)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (PI.f64) f) -1/4))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/2)) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/8) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 f f))) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) 2) f) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) f) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) f))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (*.f64 -3/4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/4 f)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (PI.f64) f) -1/4))))))

simplify101.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
623×fma-neg_binary64
589×times-frac_binary64
513×fma-def_binary64
453×associate-*l*_binary64
426×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01011150
13121096
210571042
365681042
Stop Event
1×node limit
Counts
292 → 256
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))))))
1
(+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (*.f64 -1/4 (*.f64 f (PI.f64))))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
1
(+.f64 1 (*.f64 1/4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 1/4 (*.f64 f (PI.f64)))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (*.f64 1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.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 (*.f64 (PI.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)))
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(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))

eval459.0ms (2.3%)

Compiler

Compiled 22558 to 15118 computations (33% saved)

prune76.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4857492
Fresh000
Picked101
Done101
Total4877494
Error
2.3b
Counts
494 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
61.2b
(*.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))))))) (/.f64 -4 (PI.f64)))
▶3.1b
(*.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)))
▶2.4b
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))))
▶3.5b
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
▶3.5b
(*.f64 (log.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
▶2.4b
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
2.4b
(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)))) (exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))))
Compiler

Compiled 356 to 286 computations (19.7% saved)

localize82.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
✓2.0b
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
✓2.2b
(log.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓5.5b
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
Compiler

Compiled 174 to 135 computations (22.4% saved)

series87.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
49.0ms
f
@-inf
(log.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
22.0ms
f
@inf
(log.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
3.0ms
f
@0
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
3.0ms
f
@0
(log.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
2.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

rewrite141.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
925×log-prod_binary64
523×prod-diff_binary64
299×expm1-udef_binary64
299×log1p-udef_binary64
255×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018111
136599
2474559
Stop Event
1×node limit
Counts
4 → 302
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
(log.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (*.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) 2) (/.f64 (*.f64 (PI.f64) 1/4) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (/.f64 (*.f64 (PI.f64) 1/4) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (*.f64 (sqrt.f64 (PI.f64)) 1/2)) (*.f64 (sqrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 1) (*.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (*.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) -1) (*.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) -1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) -1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) -1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) -1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) -1/4))) 1))))))

simplify91.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
973×fma-def_binary64
573×distribute-rgt-in_binary64
571×distribute-lft-in_binary64
401×associate-+l+_binary64
266×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01663969
15303167
223782483
Stop Event
1×node limit
Counts
350 → 262
Calls
Call 1
Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))))))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (*.f64 -16 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 8 (/.f64 (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 f 2)) (*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3)))))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
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(+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))))) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 2/3 (/.f64 (*.f64 (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 3/2 (*.f64 (-.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 -16 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 3)))))) (PI.f64))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))))) (pow.f64 f 3)) (PI.f64))))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
Outputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 -8 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2))))
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 0 (pow.f64 (PI.f64) 2)))
(+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))))))))
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (fma.f64 -8 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2)) (*.f64 f (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (pow.f64 (PI.f64) 2)) (*.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3))))))))
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (fma.f64 f (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) -1/384 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32))) (pow.f64 (PI.f64) 2)) (/.f64 0 (pow.f64 (PI.f64) 3)))) (/.f64 0 (pow.f64 (PI.f64) 2))))
(fma.f64 f (fma.f64 (PI.f64) 1/8 (*.f64 -8 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) -1/384 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32))) (pow.f64 (PI.f64) 2)))) (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (*.f64 -16 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 8 (/.f64 (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 f 2)) (*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3)))))))))
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (fma.f64 -8 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2)) (fma.f64 (-.f64 (*.f64 -2 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64))) (fma.f64 -16 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (/.f64 (pow.f64 (PI.f64) 3) (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))))) (fma.f64 2 (/.f64 (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)) (*.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2))))) (/.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))) (*.f64 8 (/.f64 (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192))))))) (pow.f64 (PI.f64) 2)))))) (*.f64 f f) (*.f64 f (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (pow.f64 (PI.f64) 2)) (*.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)))))))))
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (+.f64 (*.f64 f (*.f64 f (-.f64 (*.f64 -2 (/.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64))) (+.f64 (*.f64 (/.f64 0 (pow.f64 (PI.f64) 3)) (fma.f64 (pow.f64 (PI.f64) 3) -1/384 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32)))) (fma.f64 8 (/.f64 (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 4) -1/32) (+.f64 (*.f64 (PI.f64) (*.f64 -1/4 (fma.f64 (pow.f64 (PI.f64) 3) -1/192 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32))))) (*.f64 (pow.f64 (PI.f64) 4) -1/3072))) (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) -1/384 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32))) (pow.f64 (PI.f64) 2)) (/.f64 0 (pow.f64 (PI.f64) 3)))) (PI.f64)) 0)))))) (fma.f64 f (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) -1/384 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32))) (pow.f64 (PI.f64) 2)) (/.f64 0 (pow.f64 (PI.f64) 3)))) (/.f64 0 (pow.f64 (PI.f64) 2)))))
(+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (*.f64 f (+.f64 (fma.f64 (PI.f64) 1/8 (*.f64 -8 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) -1/384 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32))) (pow.f64 (PI.f64) 2)))) (*.f64 f (fma.f64 -2 (/.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64)) (/.f64 (*.f64 -8 (fma.f64 (pow.f64 (PI.f64) 4) -1/3072 (fma.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/192)) (*.f64 (PI.f64) -1/4) (*.f64 (pow.f64 (PI.f64) 4) 1/1024)))) (pow.f64 (PI.f64) 2)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))))
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(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (PI.f64)))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓0.4b
(/.f64 (/.f64 4 (PI.f64)) f)
✓0.4b
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
Compiler

Compiled 32 to 22 computations (31.3% saved)

series40.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
17.0ms
f
@-inf
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
15.0ms
f
@0
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
7.0ms
f
@inf
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
0.0ms
f
@0
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
0.0ms
f
@0
(/.f64 (/.f64 4 (PI.f64)) f)

rewrite65.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
982×pow1_binary64
917×add-log-exp_binary64
917×log1p-expm1-u_binary64
917×expm1-log1p-u_binary64
104×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
121835
2286335
Stop Event
1×node limit
Counts
3 → 89
Calls
Call 1
Inputs
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (PI.f64)) (/.f64 1 (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f)))) (log.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (+.f64 (*.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))))

simplify91.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
740×fma-def_binary64
717×div-sub_binary64
443×distribute-rgt-in_binary64
401×sub-neg_binary64
395×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028492
156468
2104468
3251468
4703468
51959468
65302468
77344468
Stop Event
1×node limit
Counts
125 → 97
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
Outputs
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(+.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 (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 (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 (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 (log.f64 (/.f64 1 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 (log.f64 (/.f64 1 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 (log.f64 (/.f64 1 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 (log.f64 (/.f64 1 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 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)))
✓0.2b
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
✓0.3b
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
✓0.4b
(*.f64 (log.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 71 to 52 computations (26.8% saved)

series65.0ms (0.3%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
37.0ms
f
@-inf
(*.f64 (log.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
17.0ms
f
@0
(*.f64 (log.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
8.0ms
f
@inf
(*.f64 (log.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
0.0ms
f
@inf
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
0.0ms
f
@-inf
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)

rewrite87.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
695×log-prod_binary64
315×fma-def_binary64
255×expm1-udef_binary64
255×log1p-udef_binary64
254×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01552
134052
2444852
Stop Event
1×node limit
Counts
4 → 159
Calls
Call 1
Inputs
(*.f64 (log.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(log.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (log.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 (/.f64 1 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -2) (log.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (log.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -2) (log.f64 (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (log.f64 (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2))) (log.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) 1)) (log.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 f) 2))) (log.f64 (cbrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) (sqrt.f64 f))) (log.f64 (sqrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) 2) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 3)) (fma.f64 (log.f64 2) (log.f64 2) (fma.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))))))

simplify61.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
607×fma-neg_binary64
470×distribute-neg-in_binary64
375×distribute-rgt-in_binary64
356×unsub-neg_binary64
319×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032492
166444
2135372
3360372
41193372
56396372
Stop Event
1×node limit
Counts
183 → 167
Calls
Call 1
Inputs
(*.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 -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 -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 -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 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (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 -1 (log.f64 f)))
(+.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 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
Outputs
(*.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 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (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 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (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 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (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 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (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 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.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 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.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 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.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 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
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(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
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(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))
0.2b
(*.f64 (/.f64 (PI.f64) 4) f)
✓0.4b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
2.0b
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 156 to 121 computations (22.4% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
1.0ms
f
@0
(sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))
0.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
0.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
0.0ms
f
@inf
(sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))

rewrite71.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
891×log-prod_binary64
284×expm1-udef_binary64
284×log1p-udef_binary64
241×log-pow_binary64
229×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01744
136641
2458229
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
(sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))
Outputs
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simplify53.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
876×fma-def_binary64
604×distribute-rgt-in_binary64
602×distribute-lft-in_binary64
405×*-commutative_binary64
263×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01421605
14431308
219361072
Stop Event
1×node limit
Counts
85 → 81
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
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(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
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(*.f64 1/4 (*.f64 f (PI.f64)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (*.f64 1/4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (*.f64 1/4 (*.f64 f (PI.f64)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (pow.f64 f 4))))))
(*.f64 1/2 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 1/2 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 1/2 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 1/2 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 1/2 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 1/2 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 1/2 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 1/2 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
Outputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 -8 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))) (*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) 0)))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)
(+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(fma.f64 -8 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))) (fma.f64 2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)) (*.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2)))))) (*.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)))))) (*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(+.f64 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) 0)) (fma.f64 2 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2)) (/.f64 0 (pow.f64 (PI.f64) 3))))) (/.f64 0 (pow.f64 (PI.f64) 2)))) (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 2 (*.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 (PI.f64) 1/8 (/.f64 -8 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)))))) 0) (/.f64 f (/.f64 (PI.f64) f))) 0))
(+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))))) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 2/3 (/.f64 (*.f64 (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 3/2 (*.f64 (-.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 -16 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 3)))))) (PI.f64))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))))) (pow.f64 f 3)) (PI.f64))))))
(fma.f64 -8 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))) (fma.f64 2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)) (*.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2)))))) (*.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)))))) (fma.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (*.f64 2/3 (/.f64 (fma.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 3) (pow.f64 (PI.f64) 3)) (fma.f64 3/2 (*.f64 (PI.f64) (-.f64 (*.f64 -2 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64))) (fma.f64 8 (/.f64 (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192))))))) (pow.f64 (PI.f64) 2)) (fma.f64 2 (/.f64 (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (pow.f64 (PI.f64) 2)) (*.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3))))) (/.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))) (*.f64 -16 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 0)))))))) (*.f64 3 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)) (*.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2))))))))) (/.f64 (PI.f64) (pow.f64 f 3)))))))
(+.f64 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) 0)) (fma.f64 2 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2)) (/.f64 0 (pow.f64 (PI.f64) 3))))) (/.f64 0 (pow.f64 (PI.f64) 2)))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (/.f64 (*.f64 (+.f64 (/.f64 0 (pow.f64 (PI.f64) 3)) (fma.f64 3/2 (*.f64 (PI.f64) (-.f64 (*.f64 -2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) -1/128 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32))) (PI.f64))) (+.f64 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 3)) 0) (fma.f64 8 (/.f64 (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 4) -1/32) (+.f64 (*.f64 (PI.f64) (*.f64 -1/4 (fma.f64 (pow.f64 (PI.f64) 3) -1/192 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32))))) (*.f64 (pow.f64 (PI.f64) 4) -1/3072))) (pow.f64 (PI.f64) 2)) (/.f64 (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2)) (/.f64 0 (pow.f64 (PI.f64) 3)))) (/.f64 (PI.f64) 0)))))) (*.f64 0 (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2)) (/.f64 0 (pow.f64 (PI.f64) 3))))))) 2/3) (/.f64 (PI.f64) (pow.f64 f 3))))))
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(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
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(*.f64 1/2 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 1/2 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 1/2 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(*.f64 1/2 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f (PI.f64))) -1/4)))

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (/.f64 4 (PI.f64)) f)
✓0.4b
(*.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)))
✓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))
Compiler

Compiled 131 to 103 computations (21.4% saved)

series6.0ms (0%)

Counts
3 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
f
@inf
(*.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)))
2.0ms
f
@0
(*.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)))
2.0ms
f
@-inf
(*.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)))

rewrite85.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
446×prod-diff_binary64
373×expm1-udef_binary64
373×log1p-udef_binary64
225×add-sqr-sqrt_binary64
213×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02260
147949
2584849
Stop Event
1×node limit
Counts
3 → 72
Calls
Call 1
Inputs
(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))))
(*.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)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/8 (PI.f64)) (*.f64 -1/24 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/8 (PI.f64)) 1) (*.f64 -1/24 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) 2) (cbrt.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (sqrt.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/8 (PI.f64)) 3) (pow.f64 (*.f64 -1/24 (PI.f64)) 3)) (+.f64 (*.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/8 (PI.f64))) (-.f64 (pow.f64 (*.f64 -1/24 (PI.f64)) 2) (*.f64 (*.f64 1/8 (PI.f64)) (*.f64 -1/24 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (*.f64 -1/24 (PI.f64)) 2)) (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 -1/24 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/48 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/192 (*.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/48 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/48 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/48 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/48 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/48 (PI.f64))) 2) (cbrt.f64 (*.f64 1/48 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/48 (PI.f64))) (sqrt.f64 (*.f64 1/48 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/192 (/.f64 1 (/.f64 -1/4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (PI.f64)) 1/192)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/96 (*.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/48 (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/48 (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/48 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/48 (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/48 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/48 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/48 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/48 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/48 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/48 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/48 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/48 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/48 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/48 (PI.f64))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) -4) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) -4)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) -4) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (log.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) 4) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))) 1))))))

simplify58.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
626×associate-*l*_binary64
575×associate-*r*_binary64
558×fma-neg_binary64
370×associate-/r*_binary64
294×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084674
1254601
2871574
35488569
Stop Event
1×node limit
Counts
84 → 96
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (PI.f64)))) (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (PI.f64)))) (+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/48 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 2)))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(-.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(-.f64 (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3)))))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(-.f64 (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (*.f64 256/3 (/.f64 1 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 4)))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(-.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))) (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))) (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (*.f64 256/3 (/.f64 1 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 4)))))))
Outputs
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 -1 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)) (*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) -1/12)))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 f (*.f64 f (*.f64 (PI.f64) -1/12))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (PI.f64)))) (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(fma.f64 -1 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)) (fma.f64 1/8 (*.f64 (pow.f64 f 4) (*.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) 1/12) 2))) (*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(+.f64 (fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) -1/12))) (*.f64 (*.f64 (pow.f64 f 4) (pow.f64 (*.f64 (PI.f64) 1/12) 2)) (*.f64 (PI.f64) 1/8)))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 (*.f64 f f) (*.f64 (PI.f64) -1/12) (*.f64 1/8 (*.f64 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) 1/144))))
(fma.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 (*.f64 f f) (*.f64 (PI.f64) -1/12) (*.f64 1/8 (*.f64 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) 1/144))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (PI.f64)))) (+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/48 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 2)))))))
(fma.f64 -1 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)) (fma.f64 1/8 (*.f64 (pow.f64 f 4) (*.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) 1/12) 2))) (fma.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (*.f64 -1/48 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 2)))))))
(+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) -1/12)) (fma.f64 1/8 (*.f64 (PI.f64) (*.f64 (pow.f64 f 4) (pow.f64 (*.f64 (PI.f64) 1/12) 2))) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 -1/48 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 2)))))))
(fma.f64 (*.f64 f f) (*.f64 (PI.f64) -1/12) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 1/8 (*.f64 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) 1/144) (*.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/1728) (*.f64 -1/48 (pow.f64 f 6)))))))
(fma.f64 (*.f64 f f) (*.f64 (PI.f64) -1/12) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 1/8 (*.f64 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) 1/144) (*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/12) 1/144) (*.f64 -1/48 (pow.f64 f 6))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))
(-.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)) (neg.f64 (/.f64 16 (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 -16 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 3) 1/12))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 -16 (*.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) 3) 1/12)))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (*.f64 (/.f64 (/.f64 1 (*.f64 f f)) (pow.f64 (PI.f64) 3)) -192))
(-.f64 (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3)))))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(-.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)) (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3))))) (/.f64 16 (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2)))))
(+.f64 (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))) (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 -16 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 3) 1/12)))))
(+.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 -16 (*.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) 3) 1/12))))) (/.f64 32 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/144) (*.f64 (PI.f64) (pow.f64 f 4)))))
(+.f64 (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 1/12 (*.f64 (pow.f64 (PI.f64) 5) 1/12)))) (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (*.f64 (/.f64 (/.f64 1 (*.f64 f f)) (pow.f64 (PI.f64) 3)) -192)))
(-.f64 (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (*.f64 256/3 (/.f64 1 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 4)))))))
(-.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)) (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3))))) (+.f64 (/.f64 16 (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2)))) (/.f64 256/3 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 4))))))
(+.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3))))) (-.f64 (/.f64 -16 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 3) 1/12))) (/.f64 256/3 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 4))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (-.f64 (+.f64 (/.f64 32 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/144) (*.f64 (PI.f64) (pow.f64 f 4)))) (/.f64 -16 (*.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) 3) 1/12))))) (/.f64 256/3 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/1728 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 4)))))))
(+.f64 (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 1/12 (*.f64 (pow.f64 (PI.f64) 5) 1/12)))) (+.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 (/.f64 -1 (pow.f64 f 6)) (/.f64 (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 (PI.f64) 3)) 147456))) (*.f64 (/.f64 (/.f64 1 (*.f64 f f)) (pow.f64 (PI.f64) 3)) -192)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))))
(-.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (neg.f64 (/.f64 16 (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -16 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 3) 1/12))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -16 (*.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) 3) 1/12)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (*.f64 (/.f64 (/.f64 1 (*.f64 f f)) (pow.f64 (PI.f64) 3)) -192))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))) (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(+.f64 (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))) (fma.f64 -4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (neg.f64 (/.f64 16 (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2)))))))
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(+.f64 (/.f64 32 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/144) (*.f64 (PI.f64) (pow.f64 f 4)))) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -16 (*.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) 3) 1/12))))))
(+.f64 (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 1/12 (*.f64 (pow.f64 (PI.f64) 5) 1/12)))) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (*.f64 (/.f64 (/.f64 1 (*.f64 f f)) (pow.f64 (PI.f64) 3)) -192)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))) (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (*.f64 256/3 (/.f64 1 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 4)))))))
(-.f64 (+.f64 (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))) (*.f64 -4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))) (+.f64 (/.f64 16 (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2)))) (/.f64 256/3 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 4))))))
(+.f64 (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))) (-.f64 (fma.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -16 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 3) 1/12)))) (/.f64 256/3 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 4))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (-.f64 (+.f64 (/.f64 32 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/144) (*.f64 (PI.f64) (pow.f64 f 4)))) (/.f64 -16 (*.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) 3) 1/12))))) (/.f64 256/3 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/1728 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 4)))))))
(+.f64 (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 1/12 (*.f64 (pow.f64 (PI.f64) 5) 1/12)))) (+.f64 (*.f64 (/.f64 (/.f64 1 (*.f64 f f)) (pow.f64 (PI.f64) 3)) -192) (fma.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (/.f64 (/.f64 -1 (pow.f64 f 6)) (/.f64 (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 (PI.f64) 3)) 147456)))))

eval473.0ms (2.4%)

Compiler

Compiled 21832 to 16984 computations (22.2% saved)

prune128.0ms (0.6%)

Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New76025785
Fresh202
Picked101
Done404
Total76725792
Error
0.2b
Counts
792 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
▶3.5b
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
3.5b
(*.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
3.4b
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
13.8b
(neg.f64 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (/.f64 4 (PI.f64)))))
0.6b
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))))))
3.8b
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 -4 (PI.f64))) 3))
4.2b
(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
0.8b
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4))) 2))
3.5b
(*.f64 (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 -4 (PI.f64)))
3.5b
(*.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)) (/.f64 -4 (PI.f64)))
15.0b
(log.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))
4.2b
(*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
1.7b
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3))
3.4b
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4)))
▶0.8b
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 1/3 (*.f64 3 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))
▶63.0b
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))
62.9b
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
3.7b
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (/.f64 -4 (PI.f64)))
▶1.3b
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))))
1.4b
(neg.f64 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) 2) (/.f64 (*.f64 (PI.f64) 1/4) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))
1.3b
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))))
3.6b
(*.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
▶0.6b
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))
0.9b
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
3.4b
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (PI.f64))
Compiler

Compiled 744 to 640 computations (14% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))
✓0.0b
(tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))
✓0.2b
(*.f64 (PI.f64) f)
✓0.3b
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4))
Compiler

Compiled 52 to 31 computations (40.4% saved)

series113.0ms (0.6%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
76.0ms
f
@inf
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4))
28.0ms
f
@-inf
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4))
3.0ms
f
@0
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4))
1.0ms
f
@0
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))
1.0ms
f
@0
(tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))

rewrite89.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
643×log-prod_binary64
344×pow-prod-down_binary64
322×pow2_binary64
238×pow-unpow_binary64
226×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01146
124346
2321346
Stop Event
1×node limit
Counts
4 → 179
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4))
(*.f64 (PI.f64) f)
(tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))
Outputs
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(/.f64 -4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 -4 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 -4 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 -4 (PI.f64)))) 2) (cbrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 -4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) 2) (*.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 -4 (PI.f64)))) 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simplify90.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
458×distribute-rgt-in_binary64
451×distribute-lft-in_binary64
422×associate-+l+_binary64
371×*-commutative_binary64
334×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01432651
14692173
219901907
374911907
Stop Event
1×node limit
Counts
227 → 209
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
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(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))) (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -48 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (*.f64 16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3)))))) (PI.f64))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
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(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
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(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
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(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
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(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
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Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (*.f64 -8 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0)))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (/.f64 0 (/.f64 (pow.f64 (PI.f64) 2) f)))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 0)
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(fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (*.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64))))) (fma.f64 2 (/.f64 f (/.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))) (+.f64 (log.f64 f) (fma.f64 1/6 (*.f64 (pow.f64 f 3) (fma.f64 -48 (/.f64 (fma.f64 1/2 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))) (fma.f64 24 (/.f64 (-.f64 (*.f64 1/2 (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192)))))))) (fma.f64 -1/8 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))))) (PI.f64)) (*.f64 16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 3) (pow.f64 (PI.f64) 3)))))) (log.f64 (*.f64 1/4 (PI.f64)))))))
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(fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 8 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/32) -1/8) (*.f64 (pow.f64 (PI.f64) 3) -7/768)) (PI.f64)) 0))) (+.f64 (log.f64 f) (fma.f64 1/6 (*.f64 (pow.f64 f 3) (fma.f64 24 (/.f64 (fma.f64 1/2 (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/1024) (+.f64 (*.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/192)) (*.f64 (PI.f64) -1/4)) (*.f64 (pow.f64 (PI.f64) 4) -1/3072))) (*.f64 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) 1/8)) (PI.f64)) 0)) (log.f64 (*.f64 1/4 (PI.f64))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.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 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.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 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.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 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.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 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.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 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.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 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
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(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.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 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.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 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
✓0.2b
(*.f64 f (PI.f64))
✓0.3b
(/.f64 4 (*.f64 f (PI.f64)))
✓0.4b
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 32 to 18 computations (43.8% saved)

series3.0ms (0%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
0.0ms
f
@0
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
0.0ms
f
@-inf
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
0.0ms
f
@inf
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
0.0ms
f
@-inf
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
0.0ms
f
@inf
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))

rewrite78.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
491×log-prod_binary64
375×exp-prod_binary64
322×prod-exp_binary64
289×pow-prod-down_binary64
262×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
121440
2259140
Stop Event
1×node limit
Counts
4 → 192
Calls
Call 1
Inputs
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 f (PI.f64))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
Outputs
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(PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 3)) 2) (cbrt.f64 (log1p.f64 3)) (neg.f64 (log.f64 (*.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 -4)) 2) (cbrt.f64 (log.f64 -4)) (neg.f64 (log.f64 (*.f64 (PI.f64) (neg.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 3)) (sqrt.f64 (log1p.f64 3)) (neg.f64 (log.f64 (*.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 -4)) (sqrt.f64 (log.f64 -4)) (neg.f64 (log.f64 (*.f64 (PI.f64) (neg.f64 f)))))))))

simplify89.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
740×fma-def_binary64
724×div-sub_binary64
443×distribute-rgt-in_binary64
404×sub-neg_binary64
398×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026396
151372
298372
3245372
4695372
51957372
65290372
77332372
Stop Event
1×node limit
Counts
216 → 199
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
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(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
Outputs
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(+.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 (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 (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 (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 (log.f64 (/.f64 1 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 (log.f64 (/.f64 1 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 (log.f64 (/.f64 1 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 (log.f64 (/.f64 1 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 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
✓0.5b
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))
✓1.0b
(log.f64 (*.f64 (PI.f64) 1/12))
✓1.0b
(*.f64 (PI.f64) 1/12)
Compiler

Compiled 35 to 23 computations (34.3% saved)

series48.0ms (0.2%)

Counts
4 → 24
Calls

6 calls:

TimeVariablePointExpression
23.0ms
f
@0
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))
18.0ms
f
@-inf
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))
6.0ms
f
@inf
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))
0.0ms
f
@0
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
0.0ms
f
@inf
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))

rewrite93.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
781×prod-diff_binary64
570×log-prod_binary64
308×pow2_binary64
264×fma-def_binary64
216×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
124339
2332139
Stop Event
1×node limit
Counts
4 → 196
Calls
Call 1
Inputs
(*.f64 (PI.f64) 1/12)
(log.f64 (*.f64 (PI.f64) 1/12))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/12) (PI.f64))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2))) (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))))))
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simplify67.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
864×div-sub_binary64
580×sub-neg_binary64
421×unsub-neg_binary64
327×distribute-neg-in_binary64
281×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027372
157372
2120372
3331372
4953372
52822372
65126372
Stop Event
1×node limit
Counts
220 → 203
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (PI.f64) (*.f64 1/4 f))
✓0.3b
(*.f64 1/3 (*.f64 3 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
✓0.3b
(*.f64 3 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))
✓0.4b
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 1/3 (*.f64 3 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))
Compiler

Compiled 104 to 82 computations (21.2% saved)

series8.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
f
@0
(*.f64 3 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))
1.0ms
f
@0
(*.f64 1/3 (*.f64 3 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
1.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 1/3 (*.f64 3 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))
1.0ms
f
@inf
(*.f64 3 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))
1.0ms
f
@-inf
(*.f64 3 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))

rewrite87.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
847×log-prod_binary64
290×log1p-udef_binary64
289×expm1-udef_binary64
263×pow3_binary64
224×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01860
139754
2469454
Stop Event
1×node limit
Counts
4 → 131
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 1/3 (*.f64 3 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))
(*.f64 3 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))
(*.f64 1/3 (*.f64 3 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(*.f64 (PI.f64) (*.f64 1/4 f))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (/.f64 4 (PI.f64)))) (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 (*.f64 (PI.f64) 1/4) (*.f64 3 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (/.f64 (*.f64 (PI.f64) 1/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (/.f64 (*.f64 (PI.f64) 1/4) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (/.f64 (*.f64 (PI.f64) 1/4) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (sqrt.f64 (PI.f64)) 1/2)) (*.f64 (sqrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1) (*.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (PI.f64) 1/4) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 f (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) f) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) f) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 1/4 f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 3) (pow.f64 f 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/4 f) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1))))))

simplify72.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
478×distribute-rgt-in_binary64
470×distribute-lft-in_binary64
428×associate-+l+_binary64
411×*-commutative_binary64
330×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01622891
15412382
223522058
Stop Event
1×node limit
Counts
179 → 162
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
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(*.f64 -3 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
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(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 -1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (+.f64 (*.f64 16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (*.f64 -48 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))))))))
(*.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(*.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(*.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(*.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(*.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(*.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(*.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(*.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (*.f64 -8 (/.f64 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) 0)) (pow.f64 (PI.f64) 2))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) 0)))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 0)
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64)))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (fma.f64 -8 (/.f64 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) 0)) (pow.f64 (PI.f64) 2)) (*.f64 -2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (*.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)))))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 (pow.f64 (PI.f64) 3) -1/384 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32))) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 2)))) (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) 0))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (fma.f64 -2 (/.f64 (fma.f64 (*.f64 f f) (*.f64 (/.f64 8 (PI.f64)) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/32) -1/8) (*.f64 (pow.f64 (PI.f64) 3) -7/768))) 0) (PI.f64)) 0))
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(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (fma.f64 -8 (/.f64 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) 0)) (pow.f64 (PI.f64) 2)) (fma.f64 -2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (*.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)))))) (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 f 3) (fma.f64 -48 (/.f64 (fma.f64 1/2 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))) (fma.f64 24 (/.f64 (-.f64 (*.f64 1/2 (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192)))))))) (fma.f64 -1/8 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))))) (PI.f64)) (*.f64 16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 3) (pow.f64 (PI.f64) 3)))))) (PI.f64))))))
(+.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) 0))) (fma.f64 -2 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 (pow.f64 (PI.f64) 3) -1/384 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32))) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 2)))) (/.f64 (*.f64 (pow.f64 f 3) -2/3) (/.f64 (PI.f64) (+.f64 (fma.f64 24 (/.f64 (-.f64 (*.f64 1/2 (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 4) -1/32) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 (pow.f64 (PI.f64) 3) -1/192 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32))))) (*.f64 (pow.f64 (PI.f64) 4) -1/3072)))) (fma.f64 -1/8 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) 0)) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 3))) (/.f64 (fma.f64 1/2 (fma.f64 (pow.f64 (PI.f64) 3) -1/384 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32))) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (/.f64 (pow.f64 (PI.f64) 2) 0)))))))
(+.f64 (*.f64 (/.f64 -2/3 (PI.f64)) (fma.f64 (pow.f64 f 3) (*.f64 (/.f64 24 (PI.f64)) (fma.f64 1/2 (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/1024) (+.f64 (*.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/192)) (*.f64 (PI.f64) -1/4)) (*.f64 (pow.f64 (PI.f64) 4) -1/3072))) (*.f64 (PI.f64) (*.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) 1/8)))) 0)) (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (fma.f64 -2 (/.f64 (fma.f64 (*.f64 f f) (*.f64 (/.f64 8 (PI.f64)) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/32) -1/8) (*.f64 (pow.f64 (PI.f64) 3) -7/768))) 0) (PI.f64)) 0)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
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(neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
(*.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))))
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(*.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
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(*.f64 (PI.f64) (*.f64 f 1/4))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/4))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/4))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/4))
(*.f64 f (*.f64 1/4 (PI.f64)))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))
0.2b
(*.f64 (PI.f64) f)
0.3b
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4))
✓1.1b
(exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4))))
Compiler

Compiled 79 to 50 computations (36.7% saved)

series78.0ms (0.4%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
50.0ms
f
@inf
(log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))
22.0ms
f
@-inf
(log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))
3.0ms
f
@0
(log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))
1.0ms
f
@0
(exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4))))
0.0ms
f
@inf
(exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4))))

rewrite92.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
681×log-prod_binary64
364×pow-prod-down_binary64
342×pow2_binary64
251×pow-unpow_binary64
240×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
126840
2341040
Stop Event
1×node limit
Counts
2 → 156
Calls
Call 1
Inputs
(exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4))))
(log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))
Outputs
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simplify101.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
721×distribute-rgt-in_binary64
715×distribute-lft-in_binary64
633×times-frac_binary64
346×associate-/r*_binary64
343×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01742335
15981931
228521454
Stop Event
1×node limit
Counts
180 → 176
Calls
Call 1
Inputs
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(*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(log.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))) (log.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))))
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(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
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Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (*.f64 -8 (/.f64 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) 0)) (pow.f64 (PI.f64) 2))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (/.f64 (*.f64 f 0) (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 0)
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(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
(log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
(log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
(log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
(log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
(log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
(log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))

eval655.0ms (3.3%)

Compiler

Compiled 24670 to 18759 computations (24% saved)

prune205.0ms (1%)

Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New1016141030
Fresh91120
Picked011
Done134
Total1026291055
Error
0.0b
Counts
1055 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
✓3.5b
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
15.0b
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64))))
▶0.7b
(neg.f64 (/.f64 (*.f64 1/3 (*.f64 3 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4)))
3.6b
(*.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
3.5b
(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
1.4b
(neg.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) 2) (/.f64 (*.f64 (PI.f64) -1/4) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))))
3.8b
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 -4 (PI.f64))) 3))
3.5b
(*.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
4.2b
(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
▶0.7b
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 1/4))) (*.f64 (PI.f64) -1/4)))
0.8b
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4))) 2))
3.5b
(*.f64 (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 -4 (PI.f64)))
0.9b
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 3) (pow.f64 (*.f64 (PI.f64) -1/4) 3))))
▶0.6b
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
3.4b
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (PI.f64))
3.5b
(*.f64 (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 -4 (PI.f64)))
13.8b
(neg.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 -4 (PI.f64)))))
3.4b
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4)))
63.0b
(/.f64 (*.f64 -4 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f))) (PI.f64))
✓63.0b
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))
▶62.9b
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
▶63.2b
(log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) (/.f64 -4 (PI.f64))))
3.7b
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (/.f64 -4 (PI.f64)))
✓1.3b
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))))
59.2b
(neg.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 -1/2 (*.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (*.f64 -1/2 (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) -1/4)))
✓0.6b
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))
3.4b
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
1.7b
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3))
1.3b
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))))
Compiler

Compiled 777 to 659 computations (15.2% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
✓0.2b
(*.f64 (PI.f64) (*.f64 f 1/4))
✓0.3b
(/.f64 (*.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
✓0.3b
(/.f64 1 (/.f64 (*.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
Compiler

Compiled 68 to 50 computations (26.5% saved)

series12.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
f
@0
(/.f64 (*.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
1.0ms
f
@inf
(/.f64 (*.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
1.0ms
f
@-inf
(/.f64 (*.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
1.0ms
f
@0
(/.f64 1 (/.f64 (*.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
1.0ms
f
@0
(tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))

rewrite93.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
714×log-prod_binary64
360×pow2_binary64
267×pow-unpow_binary64
252×pow1/3_binary64
248×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01359
128456
2368356
Stop Event
1×node limit
Counts
4 → 186
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (*.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(/.f64 (*.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(*.f64 (PI.f64) (*.f64 f 1/4))
(tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 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simplify78.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
662×distribute-rgt-in_binary64
654×distribute-lft-in_binary64
481×times-frac_binary64
320×associate-*l/_binary64
304×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01783208
15982621
226872098
Stop Event
1×node limit
Counts
234 → 216
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
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(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))) (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -48 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (*.f64 16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3)))))) (PI.f64))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
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(*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))) (*.f64 1/2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 2))))
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(*.f64 -1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))
(*.f64 -1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))
(*.f64 -1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))
(*.f64 -1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))
(*.f64 -1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))
(*.f64 -1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))
(*.f64 -1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))
(*.f64 -1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (*.f64 1/4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (pow.f64 f 3)) (*.f64 1/4 (*.f64 f (PI.f64)))))
(+.f64 (*.f64 (pow.f64 f 4) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (pow.f64 f 3)) (*.f64 1/4 (*.f64 f (PI.f64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (*.f64 -8 (/.f64 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) 0)) (pow.f64 (PI.f64) 2))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) 0)))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 0)
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64)))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (fma.f64 -8 (/.f64 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) 0)) (pow.f64 (PI.f64) 2)) (*.f64 -2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (*.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)))))))))
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(+.f64 (fma.f64 1/4 (*.f64 f (PI.f64)) (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/32) -1/8) (*.f64 (pow.f64 (PI.f64) 3) -7/768)) (pow.f64 f 3))) (*.f64 (pow.f64 f 4) (fma.f64 1/2 (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/1024) (+.f64 (*.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/192)) (*.f64 (PI.f64) -1/4)) (*.f64 (pow.f64 (PI.f64) 4) -1/3072))) (*.f64 (PI.f64) (*.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) 1/8)))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
0.2b
(*.f64 (PI.f64) f)
✓0.3b
(/.f64 4 (*.f64 (PI.f64) f))
✓0.3b
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
Compiler

Compiled 32 to 18 computations (43.8% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
f
@0
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
1.0ms
f
@inf
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
1.0ms
f
@-inf
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
0.0ms
f
@-inf
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
0.0ms
f
@0
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))

rewrite81.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
526×log-prod_binary64
409×exp-prod_binary64
286×pow-prod-down_binary64
267×pow2_binary64
188×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
121735
2279035
Stop Event
1×node limit
Counts
3 → 175
Calls
Call 1
Inputs
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
Outputs
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f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (/.f64 4 (PI.f64)))) (log.f64 (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 4 (sqrt.f64 (*.f64 (PI.f64) f)))) (log.f64 (sqrt.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 4 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2))) (log.f64 (cbrt.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) 1)) (log.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 f) 2))) (log.f64 (cbrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f))) (log.f64 (sqrt.f64 f)))))) (#(struct:change #<rule 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(/.f64 (/.f64 4 (PI.f64)) f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 3) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 3)) (+.f64 (pow.f64 (log1p.f64 3) 2) (+.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 2) (*.f64 (log1p.f64 3) (log.f64 (*.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 3) 2) (pow.f64 (log.f64 (*.f64 (PI.f64) f)) 2)) (log.f64 (*.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)))) (#(struct:change #<rule 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egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 3) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 3)) 2) (cbrt.f64 (log1p.f64 3)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 3)) (sqrt.f64 (log1p.f64 3)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))))))

simplify90.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
740×fma-def_binary64
683×div-sub_binary64
443×distribute-rgt-in_binary64
407×sub-neg_binary64
406×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028492
156468
2104468
3251468
4700468
51952468
65285468
77398468
Stop Event
1×node limit
Counts
211 → 183
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
Outputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(+.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 (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 (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 (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 (log.f64 (/.f64 1 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 (log.f64 (/.f64 1 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 (log.f64 (/.f64 1 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 (log.f64 (/.f64 1 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 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.7b
(*.f64 (*.f64 (PI.f64) 1/12) f)
1.0b
(*.f64 (PI.f64) 1/12)
✓5.2b
(pow.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) (/.f64 -4 (PI.f64)))
✓12.8b
(log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) (/.f64 -4 (PI.f64))))
Compiler

Compiled 35 to 24 computations (31.4% saved)

series266.0ms (1.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
198.0ms
f
@-inf
(log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) (/.f64 -4 (PI.f64))))
32.0ms
f
@0
(log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) (/.f64 -4 (PI.f64))))
30.0ms
f
@inf
(log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) (/.f64 -4 (PI.f64))))
4.0ms
f
@inf
(*.f64 (*.f64 (PI.f64) 1/12) f)
0.0ms
f
@0
(pow.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) (/.f64 -4 (PI.f64)))

rewrite112.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
522×log-prod_binary64
399×pow-unpow_binary64
393×exp-prod_binary64
319×pow-prod-down_binary64
273×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
121540
2261140
Stop Event
1×node limit
Counts
3 → 120
Calls
Call 1
Inputs
(log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) (/.f64 -4 (PI.f64))))
(pow.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) (/.f64 -4 (PI.f64)))
(*.f64 (*.f64 (PI.f64) 1/12) f)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 1/12 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/12))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/12)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/12 f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/12 f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))) 2)) (cbrt.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/12 f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/12 f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))) 1) 1))))))

simplify77.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
660×div-sub_binary64
644×fma-def_binary64
424×distribute-rgt-in_binary64
413×exp-diff_binary64
333×distribute-lft-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033596
171588
2143588
3319588
4817588
52410588
67451588
Stop Event
1×node limit
Counts
156 → 131
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(*.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (/.f64 -4 (PI.f64)))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))))
(pow.f64 (exp.f64 -4) (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))))
(pow.f64 (exp.f64 -4) (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))))
(pow.f64 (exp.f64 -4) (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))))
(pow.f64 (exp.f64 -4) (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(pow.f64 (exp.f64 -4) (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(pow.f64 (exp.f64 -4) (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(pow.f64 (exp.f64 -4) (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(pow.f64 (exp.f64 -4) (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))
(pow.f64 (exp.f64 -4) (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))
(pow.f64 (exp.f64 -4) (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))
(pow.f64 (exp.f64 -4) (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(exp.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))
(pow.f64 (exp.f64 -4) (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64)))
(pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 (PI.f64) f))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 (PI.f64) f))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 (PI.f64) f))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 (PI.f64) f))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 (PI.f64) f))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 (PI.f64) f))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 (PI.f64) f))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 (PI.f64) f))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 (PI.f64) f))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 (PI.f64) f))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 (PI.f64) f))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 (PI.f64) f))

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 f (*.f64 (PI.f64) 1/4))
✓0.3b
(*.f64 1/3 (*.f64 3 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))
✓0.3b
(*.f64 3 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
✓0.3b
(/.f64 (*.f64 1/3 (*.f64 3 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4))
Compiler

Compiled 82 to 63 computations (23.2% saved)

series7.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
f
@0
(*.f64 3 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
1.0ms
f
@0
(/.f64 (*.f64 1/3 (*.f64 3 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4))
1.0ms
f
@0
(*.f64 1/3 (*.f64 3 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))
1.0ms
f
@inf
(*.f64 3 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
1.0ms
f
@-inf
(*.f64 3 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))

rewrite97.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
783×log-prod_binary64
364×pow2_binary64
256×pow1/3_binary64
252×log1p-udef_binary64
251×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01554
133454
2427554
Stop Event
1×node limit
Counts
4 → 141
Calls
Call 1
Inputs
(/.f64 (*.f64 1/3 (*.f64 3 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4))
(*.f64 3 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(*.f64 1/3 (*.f64 3 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))
(*.f64 f (*.f64 (PI.f64) 1/4))
Outputs
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(PI.f64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 3)) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 3)) (*.f64 1/3 (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 -4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 -4 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 -4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 -4 (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 -4 (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 -4 (PI.f64))))) 2) (cbrt.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 -4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) 2) (*.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 -4 (PI.f64))))) (sqrt.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 -4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 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simplify82.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
476×associate-+l+_binary64
470×distribute-rgt-in_binary64
464×distribute-lft-in_binary64
399×*-commutative_binary64
395×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01592907
15342374
223762039
Stop Event
1×node limit
Counts
189 → 172
Calls
Call 1
Inputs
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(*.f64 3 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(*.f64 3 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(*.f64 3 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(*.f64 3 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(*.f64 3 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(*.f64 3 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))
(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (+.f64 (log.f64 f) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -48 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (*.f64 16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))))))) (log.f64 (*.f64 1/4 (PI.f64)))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (*.f64 -8 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0)))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (/.f64 (*.f64 f 0) (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 0)
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64)))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (fma.f64 -8 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))) (*.f64 -2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (*.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)))))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 2)))) (/.f64 (*.f64 f 0) (pow.f64 (PI.f64) 2))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (fma.f64 -2 (*.f64 (fma.f64 8 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/32) -1/8) (*.f64 (pow.f64 (PI.f64) 3) -7/768)) (PI.f64)) 0) (/.f64 f (/.f64 (PI.f64) f))) 0))
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(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(tanh.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 1/4))
0.2b
(*.f64 (PI.f64) f)
✓0.3b
(/.f64 (log.f64 (tanh.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 1/4))) (*.f64 (PI.f64) -1/4))
✓5.7b
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
Compiler

Compiled 71 to 33 computations (53.5% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
f
@0
(/.f64 (log.f64 (tanh.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 1/4))) (*.f64 (PI.f64) -1/4))
1.0ms
f
@0
(tanh.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 1/4))
0.0ms
f
@inf
(/.f64 (log.f64 (tanh.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 1/4))) (*.f64 (PI.f64) -1/4))
0.0ms
f
@0
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
0.0ms
f
@-inf
(/.f64 (log.f64 (tanh.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 1/4))) (*.f64 (PI.f64) -1/4))

rewrite118.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
662×log-prod_binary64
361×pow-prod-down_binary64
339×pow2_binary64
239×pow-unpow_binary64
238×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01334
126634
2337734
Stop Event
1×node limit
Counts
3 → 163
Calls
Call 1
Inputs
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 1/4))) (*.f64 (PI.f64) -1/4))
(tanh.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 1/4))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 -4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 -4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 -4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 -4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 -4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 -4 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 -4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 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simplify68.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
930×fma-def_binary64
762×associate-*l*_binary64
758×associate-*r*_binary64
415×distribute-rgt-in_binary64
408×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01321753
14291458
217721264
Stop Event
1×node limit
Counts
199 → 183
Calls
Call 1
Inputs
(*.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 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))) (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -48 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (*.f64 16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3)))))) (PI.f64))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (*.f64 1/4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (pow.f64 f 3)) (*.f64 1/4 (*.f64 f (PI.f64)))))
(+.f64 (*.f64 (pow.f64 f 4) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (pow.f64 f 3)) (*.f64 1/4 (*.f64 f (PI.f64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
Outputs
(*.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 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))) (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4)))))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))) (PI.f64)) (*.f64 -8 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0)))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))) (PI.f64)) (/.f64 (*.f64 f 0) (pow.f64 (PI.f64) 2)))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))) (PI.f64)) 0)
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -8 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64)))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))) (PI.f64)) (fma.f64 -8 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))) (*.f64 -2 (/.f64 (*.f64 (*.f64 f f) (fma.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (*.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64))))) (PI.f64)))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))) (PI.f64)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 2)))) (/.f64 (*.f64 f 0) (pow.f64 (PI.f64) 2))))
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(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (pow.f64 f 3)) (*.f64 1/4 (*.f64 f (PI.f64)))))
(fma.f64 1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (*.f64 f f)) (fma.f64 (+.f64 (*.f64 1/2 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384))) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (pow.f64 f 3) (*.f64 (*.f64 f (PI.f64)) 1/4)))
(+.f64 (*.f64 f (*.f64 f 0)) (fma.f64 (fma.f64 1/2 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (pow.f64 f 3) (*.f64 f (*.f64 (PI.f64) 1/4))))
(fma.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/256) (*.f64 (pow.f64 (PI.f64) 3) -7/768)) (pow.f64 f 3) (fma.f64 (*.f64 f (PI.f64)) 1/4 0))
(+.f64 (*.f64 (pow.f64 f 4) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (pow.f64 f 3)) (*.f64 1/4 (*.f64 f (PI.f64))))))
(fma.f64 (pow.f64 f 4) (-.f64 (*.f64 1/2 (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192)))))))) (fma.f64 -1/8 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))))) (fma.f64 1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (*.f64 f f)) (fma.f64 (+.f64 (*.f64 1/2 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384))) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (pow.f64 f 3) (*.f64 (*.f64 f (PI.f64)) 1/4))))
(+.f64 (fma.f64 (fma.f64 1/2 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (pow.f64 f 3) (*.f64 f (*.f64 (PI.f64) 1/4))) (fma.f64 (pow.f64 f 4) (-.f64 (*.f64 1/2 (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 4) -1/32) (+.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) -1/192 (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32))) (*.f64 (PI.f64) -1/4)) (*.f64 (pow.f64 (PI.f64) 4) -1/3072)))) (fma.f64 -1/8 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) 0)) (*.f64 f (*.f64 f 0))))
(fma.f64 (pow.f64 f 4) (fma.f64 1/2 (fma.f64 (pow.f64 (PI.f64) 4) -1/3072 (fma.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) 1/128) (*.f64 1/768 (pow.f64 (PI.f64) 3))) (*.f64 (pow.f64 (PI.f64) 4) 1/1024))) (*.f64 -1/8 (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 4)) (neg.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 4)))))) (fma.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/256) (*.f64 (pow.f64 (PI.f64) 3) -7/768)) (pow.f64 f 3) (*.f64 (*.f64 f (PI.f64)) 1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))

eval573.0ms (2.9%)

Compiler

Compiled 21952 to 16483 computations (24.9% saved)

prune149.0ms (0.7%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New9405945
Fresh101020
Picked101
Done358
Total95420974
Error
0.0b
Counts
974 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
✓3.5b
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
15.0b
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64))))
✓0.7b
(neg.f64 (/.f64 (*.f64 1/3 (*.f64 3 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4)))
3.6b
(*.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
3.5b
(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
3.4b
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (PI.f64))
3.5b
(*.f64 (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 -4 (PI.f64)))
3.4b
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4)))
62.9b
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 4)
✓63.0b
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))
0.5b
(neg.f64 (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) -1/12) (/.f64 1/3 (PI.f64))))
59.2b
(neg.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 -1/2 (*.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (*.f64 -1/2 (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) -1/4)))
✓0.6b
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))
62.9b
(/.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4))
63.0b
(/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))) -4) (PI.f64))
3.4b
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
3.5b
(*.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
3.5b
(*.f64 (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 -4 (PI.f64)))
✓63.2b
(log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) (/.f64 -4 (PI.f64))))
63.0b
(*.f64 1/3 (*.f64 3 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))))))
Compiler

Compiled 267 to 224 computations (16.1% saved)

regimes254.0ms (1.3%)

Counts
53 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 4)
(/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))) -4) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f))) (PI.f64))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (PI.f64))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(*.f64 (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 -4 (PI.f64)))
(*.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)) (/.f64 -4 (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4)))
(/.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4))
(*.f64 1/3 (*.f64 3 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))))))
(*.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) (/.f64 -4 (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))
(log.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))
(*.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) -1/12) (/.f64 1/3 (PI.f64))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(*.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))))))
(neg.f64 (/.f64 (*.f64 1/3 (*.f64 3 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4)))
(*.f64 (log.f64 (/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 1/3 (*.f64 3 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))
(neg.f64 (log.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 -4 (PI.f64)))))
(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
(*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (/.f64 -4 (PI.f64)))
(neg.f64 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (/.f64 4 (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 -4 (PI.f64))) 3))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) f))) 1/4))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4))) 2))
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 3) (pow.f64 (*.f64 (PI.f64) -1/4) 3))))
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
(neg.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 -1/2 (*.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (*.f64 -1/2 (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) -1/4)))
(*.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)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (/.f64 (PI.f64) 4) f))) (*.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))))
(neg.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) 2) (/.f64 (*.f64 (PI.f64) -1/4) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))))
(neg.f64 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) 2) (/.f64 (*.f64 (PI.f64) 1/4) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))
(*.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))))))) (/.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)))) (exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))))
(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 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
Outputs
(neg.f64 (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) -1/12) (/.f64 1/3 (PI.f64))))
Calls

7 calls:

71.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
55.0ms
(/.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)))))
45.0ms
f
34.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
8.0ms
(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))))))
Results
ErrorSegmentsBranch
0.5b1f
0.5b1(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))))))))
0.5b1(*.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)))))))
0.5b1(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))))))
0.5b1(/.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)))))
0.5b1(*.f64 (/.f64 (PI.f64) 4) f)
0.5b1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 997 to 744 computations (25.4% saved)

regimes22.0ms (0.1%)

Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 4)
(/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))) -4) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f))) (PI.f64))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (PI.f64))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(*.f64 (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 -4 (PI.f64)))
(*.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)) (/.f64 -4 (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4)))
(/.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4))
(*.f64 1/3 (*.f64 3 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))))))
(*.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) (/.f64 -4 (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))
(log.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))
(*.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 -4 (PI.f64)))
Outputs
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))
Calls

1 calls:

14.0ms
f
Results
ErrorSegmentsBranch
0.6b1f
Compiler

Compiled 269 to 192 computations (28.6% saved)

regimes49.0ms (0.2%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 4)
(/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))) -4) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f))) (PI.f64))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (PI.f64))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(*.f64 (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 -4 (PI.f64)))
(*.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)) (/.f64 -4 (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4)))
(/.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4))
(*.f64 1/3 (*.f64 3 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))))))
(*.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) (/.f64 -4 (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))
(log.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 -4 (PI.f64))))
Outputs
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
Calls

1 calls:

14.0ms
f
Results
ErrorSegmentsBranch
3.4b1f
Compiler

Compiled 231 to 165 computations (28.6% saved)

regimes17.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 4)
(/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))) -4) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f))) (PI.f64))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (PI.f64))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(*.f64 (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 -4 (PI.f64)))
(*.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)) (/.f64 -4 (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4)))
(/.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4))
(*.f64 1/3 (*.f64 3 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))))))
(*.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) (/.f64 -4 (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
Outputs
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (PI.f64))
Calls

1 calls:

11.0ms
f
Results
ErrorSegmentsBranch
3.4b1f
Compiler

Compiled 197 to 141 computations (28.4% saved)

regimes7.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 4)
(/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))) -4) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f))) (PI.f64))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
Outputs
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
Calls

1 calls:

5.0ms
f
Results
ErrorSegmentsBranch
3.5b1f
Compiler

Compiled 53 to 38 computations (28.3% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0.0b (-0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 4)
(/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))) -4) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f))) (PI.f64))
Outputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 4)
Calls

1 calls:

4.0ms
f
Results
ErrorSegmentsBranch
62.9b1f
Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify19.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
043115
167113
285113
395113
4100113
5101113
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) -1/12) (/.f64 1/3 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (PI.f64))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 4)
Outputs
(neg.f64 (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) -1/12) (/.f64 1/3 (PI.f64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) -1/12) (neg.f64 (/.f64 1/3 (PI.f64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) -1/12) (/.f64 -1/3 (PI.f64)))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) -1/4)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (*.f64 (PI.f64) -1/4))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (PI.f64))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -4) (PI.f64))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 4)
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
Compiler

Compiled 72 to 60 computations (16.7% saved)

soundness0.0ms (0%)

end50.0ms (0.3%)

Compiler

Compiled 67 to 48 computations (28.4% saved)

Profiling

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