Details

Time bar (total: 2.5s)

analyze4.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
Compiler

Compiled 22 to 17 computations (22.7% saved)

sample1.0s (41%)

Results
1.0s8256×body256valid
1.0ms7×body256invalid

preprocess75.0ms (2.9%)

Algorithm
2×egg-herbie
Rules
1332×fma-def_binary64
576×fma-neg_binary64
530×distribute-rgt-in_binary64
496×unsub-neg_binary64
430×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01731
14228
210926
332126
496726
5174724
6370724
7645824
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Outputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 -6 (*.f64 v v))))))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify63.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1332×fma-def_binary64
576×fma-neg_binary64
530×distribute-rgt-in_binary64
496×unsub-neg_binary64
430×distribute-lft-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01731
14228
210926
332126
496726
5174724
6370724
7645824
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Outputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 -6 (*.f64 v v))))))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))

eval1.0ms (0%)

Compiler

Compiled 37 to 27 computations (27% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
▶1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Compiler

Compiled 38 to 29 computations (23.7% saved)

localize28.0ms (1.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))
✓0.0b
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
Compiler

Compiled 66 to 45 computations (31.8% saved)

series9.0ms (0.4%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
v
@0
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
2.0ms
v
@inf
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
2.0ms
v
@-inf
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
1.0ms
v
@0
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))
1.0ms
v
@inf
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))

rewrite77.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
631×log-prod_binary64
405×pow-prod-down_binary64
348×pow2_binary64
246×pow1/3_binary64
243×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01445
128845
2335545
Stop Event
1×node limit
Counts
2 → 49
Calls
Call 1
Inputs
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2)) (cbrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) (sqrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (*.f64 (PI.f64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (*.f64 -1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 v v)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 v v) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 -1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))

simplify61.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
527×associate-*l*_binary64
503×associate-*r*_binary64
427×associate-/r*_binary64
413×associate-+l+_binary64
359×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01801647
15861558
222351435
Stop Event
1×node limit
Counts
73 → 96
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4))))
(+.f64 (*.f64 (+.f64 (*.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (*.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 6)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4)))))
(*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64)))
(+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))))
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))))
Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -4/3 (*.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (-.f64 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -4/3 (*.f64 v v))))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (*.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -4/3 (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (PI.f64)) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -4/3 (pow.f64 v 4)))))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(fma.f64 -4/3 (*.f64 (pow.f64 v 6) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -1/2 (+.f64 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(fma.f64 -4/3 (*.f64 (pow.f64 v 6) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (+.f64 27/2 (*.f64 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)) -3/4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 -4/3 (*.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -4/3 (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))
(+.f64 (*.f64 -4/3 (+.f64 (+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 1/2)) (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (/.f64 135/16 (PI.f64)))) (-.f64 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 (*.f64 v v) (-.f64 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (PI.f64)) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))
(*.f64 -4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)))
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(fma.f64 (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (/.f64 (*.f64 -9/2 (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (pow.f64 v 6) (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 2)) (fma.f64 (*.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))))))
(fma.f64 (pow.f64 v 6) (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -9/4 (/.f64 (PI.f64) (sqrt.f64 2)))) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (/.f64 (*.f64 (PI.f64) 3) (sqrt.f64 2))) (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3 (*.f64 9/4 (/.f64 (PI.f64) (sqrt.f64 2)))))) (*.f64 (PI.f64) (sqrt.f64 2))))
(fma.f64 (pow.f64 v 6) (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (/.f64 (/.f64 (PI.f64) -4/9) (sqrt.f64 2))) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 (/.f64 3 (sqrt.f64 2)) (PI.f64))) (*.f64 (pow.f64 v 4) (*.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3/4))) (*.f64 (PI.f64) (sqrt.f64 2))))
(*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6))
(*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))
(fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))
(fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))
(+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (/.f64 (*.f64 (PI.f64) v) (sqrt.f64 -6)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(fma.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))) (fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))))
(-.f64 (+.f64 (/.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))
(+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (/.f64 (*.f64 (PI.f64) v) (sqrt.f64 -6))))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))))
(fma.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))) (fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 1/2 (/.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -6) 3)) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))))))
(-.f64 (+.f64 (/.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6) (/.f64 (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (pow.f64 v 3)))))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))
(+.f64 (+.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (+.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)) (/.f64 -1/12 (sqrt.f64 -6)))) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (/.f64 (*.f64 (PI.f64) v) (sqrt.f64 -6)))) (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v))
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(neg.f64 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (neg.f64 (pow.f64 v 3)))
(*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (neg.f64 (sqrt.f64 -6)))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(*.f64 -1 (+.f64 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6)))))
(neg.f64 (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6))))
(neg.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (/.f64 (*.f64 (PI.f64) v) (sqrt.f64 -6))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (*.f64 -1 (+.f64 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))))
(-.f64 (neg.f64 (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))) (/.f64 (-.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))
(-.f64 (/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12)) v) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (/.f64 (*.f64 (PI.f64) v) (sqrt.f64 -6))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 -1 (/.f64 (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3)) (*.f64 -1 (+.f64 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6)))))))
(-.f64 (-.f64 (neg.f64 (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)))) (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3))) (/.f64 (-.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12)) v) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (/.f64 (*.f64 (PI.f64) v) (sqrt.f64 -6)))) (*.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (+.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)) (/.f64 -1/12 (sqrt.f64 -6)))))

localize29.0ms (1.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 6 (*.f64 v v))
✓1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Compiler

Compiled 86 to 52 computations (39.5% saved)

series6.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
v
@0
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
1.0ms
v
@inf
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
1.0ms
v
@-inf
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
1.0ms
v
@inf
(*.f64 6 (*.f64 v v))
0.0ms
v
@0
(*.f64 6 (*.f64 v v))

rewrite76.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
845×log-prod_binary64
329×prod-diff_binary64
303×expm1-udef_binary64
302×log1p-udef_binary64
251×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01738
137535
2468133
Stop Event
1×node limit
Counts
2 → 42
Calls
Call 1
Inputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(*.f64 6 (*.f64 v v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 2)) (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) (neg.f64 (*.f64 3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (/.f64 1 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v))) (cbrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 216 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 36 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 216 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 6)) 1))))))

simplify263.0ms (10.3%)

Algorithm
1×egg-herbie
Rules
484×fma-def_binary64
483×distribute-rgt-out_binary64
347×distribute-lft-out_binary64
333×associate-*l*_binary64
306×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01061115
13341072
212211008
35634995
Stop Event
1×node limit
Counts
66 → 67
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v (*.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(*.f64 4/3 (fma.f64 v (*.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 4/3 (*.f64 4/3 (*.f64 v v)))))
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(fma.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(*.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v (*.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(*.f64 4/3 (fma.f64 (pow.f64 v 4) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 (/.f64 1/2 (PI.f64)) (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (fma.f64 v (*.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 4/3 (fma.f64 (pow.f64 v 4) (+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 (/.f64 1/2 (PI.f64)) (+.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 -9/16 (sqrt.f64 1/2)) 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (fma.f64 v (*.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
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(+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(fma.f64 -4/3 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))) (pow.f64 v 9)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))))
(fma.f64 -4/3 (/.f64 (fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (-.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 (+.f64 1/108 (*.f64 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 9)) (fma.f64 -4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 (+.f64 1/108 (*.f64 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (fma.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)) (/.f64 (*.f64 -4/3 (-.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)))))
(fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (-.f64 (*.f64 (/.f64 1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (/.f64 (+.f64 1/162 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (PI.f64)))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))) (fma.f64 -4/3 (/.f64 (-.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (/.f64 (fma.f64 -4/3 (-.f64 (/.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/108) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 -1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)))))
(fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (-.f64 (*.f64 (/.f64 1/2 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (+.f64 1/162 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))) (fma.f64 -4/3 (/.f64 (-.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (/.f64 (fma.f64 -4/3 (-.f64 (/.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/108) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 -1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)))))
(*.f64 6 (pow.f64 v 2))
(*.f64 (*.f64 v v) 6)
(*.f64 v (*.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(*.f64 (*.f64 v v) 6)
(*.f64 v (*.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(*.f64 (*.f64 v v) 6)
(*.f64 v (*.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(*.f64 (*.f64 v v) 6)
(*.f64 v (*.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(*.f64 (*.f64 v v) 6)
(*.f64 v (*.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(*.f64 (*.f64 v v) 6)
(*.f64 v (*.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(*.f64 (*.f64 v v) 6)
(*.f64 v (*.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(*.f64 (*.f64 v v) 6)
(*.f64 v (*.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(*.f64 (*.f64 v v) 6)
(*.f64 v (*.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(*.f64 (*.f64 v v) 6)
(*.f64 v (*.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(*.f64 (*.f64 v v) 6)
(*.f64 v (*.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(*.f64 (*.f64 v v) 6)
(*.f64 v (*.f64 v 6))

eval134.0ms (5.3%)

Compiler

Compiled 5439 to 4293 computations (21.1% saved)

prune21.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1612163
Fresh000
Picked011
Done101
Total1623165
Error
0b
Counts
165 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
▶1.2b
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
▶0.2b
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
Compiler

Compiled 36 to 31 computations (13.9% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.0b
(/.f64 (sqrt.f64 1/2) (PI.f64))
Compiler

Compiled 16 to 14 computations (12.5% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite51.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
503×pow1_binary64
486×add-sqr-sqrt_binary64
469×add-log-exp_binary64
469×log1p-expm1-u_binary64
469×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11057
212617
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 1/2) (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) 1) (/.f64 (pow.f64 1/2 1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 1/2 1/4) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))))

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
30 → 30
Calls
Call 1
Inputs
Outputs

localize32.0ms (1.3%)

Compiler

Compiled 20 to 15 computations (25% saved)

eval9.0ms (0.3%)

Compiler

Compiled 317 to 272 computations (14.2% saved)

prune5.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New30030
Fresh000
Picked011
Done022
Total30333
Error
0b
Counts
33 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
✓1.2b
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
✓0.2b
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
Compiler

Compiled 36 to 31 computations (13.9% saved)

regimes23.0ms (0.9%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
Outputs
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
Calls

7 calls:

6.0ms
(*.f64 v v)
4.0ms
v
2.0ms
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
2.0ms
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
2.0ms
(*.f64 v v)
Results
ErrorSegmentsBranch
0.0b1v
0.0b1(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
0.0b1(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
0.0b1(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
0.0b1(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
0.0b1(*.f64 v v)
0.0b1(*.f64 v v)
Compiler

Compiled 140 to 103 computations (26.4% saved)

regimes215.0ms (8.5%)

Accuracy

Total -1.0b remaining (-484.1%)

Threshold costs -1.0b (-484.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Outputs
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
Calls

4 calls:

206.0ms
(*.f64 v v)
3.0ms
v
2.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
2.0ms
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
Results
ErrorSegmentsBranch
0.2b1v
0.2b1(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
0.2b1(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
0.2b1(*.f64 v v)
Compiler

Compiled 80 to 60 computations (25% saved)

simplify6.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02346
13346
24146
34746
45046
55146
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
Outputs
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
Compiler

Compiled 32 to 28 computations (12.5% saved)

soundness265.0ms (10.4%)

Algorithm
1×egg-herbie
Rules
1332×fma-def_binary64
576×fma-neg_binary64
530×distribute-rgt-in_binary64
496×unsub-neg_binary64
430×distribute-lft-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01731
14228
210926
332126
496726
5174724
6370724
7645824
Stop Event
1×node limit
Compiler

Compiled 611 to 485 computations (20.6% saved)

end30.0ms (1.2%)

Compiler

Compiled 30 to 24 computations (20% saved)

Profiling

Loading profile data...