Details

Time bar (total: 4.9s)

analyze35.0ms (0.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%37.5%62.5%0%0%0%0
0%0%37.5%62.5%0%0%0%1
0%0%18.7%81.3%0%0%0%2
0%0%9.4%90.6%0%0%0%3
0%0%9.4%90.6%0%0%0%4
0%0%7%93%0%0%0%5
20%1.2%4.7%94.1%0%0%0%6
25%1.2%3.5%95.3%0%0%0%7
40%1.8%2.6%95.6%0%0%0%8
51.9%2%1.9%96%0%0%0%9
64.7%2.4%1.3%96.3%0%0%0%10
72.9%2.6%1%96.5%0%0%0%11
80.2%2.7%0.7%96.6%0%0%0%12
Compiler

Compiled 26 to 15 computations (42.3% saved)

sample1.4s (29%)

Results
1.3s8256×body256valid
141.0ms790×body256precondition
Bogosity

preprocess61.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
746×fma-neg_binary64
356×fabs-div_binary64
352×distribute-neg-frac_binary64
303×associate-/l*_binary64
301×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
14734
213730
339430
4127830
5546230
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b b))))
Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b b))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 a b) (/.f64 a b)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 a b) (/.f64 a b) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 a (/.f64 a (*.f64 b b)) -1)))
Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify59.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
704×fma-def_binary64
605×associate-/r*_binary64
561×associate-*l*_binary64
491×associate-*r*_binary64
345×fabs-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0920
12617
27215
320115
455315
5198215
6771715
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

eval1.0ms (0%)

Compiler

Compiled 25 to 13 computations (48% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
12.5b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶12.6b
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
▶12.5b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
Compiler

Compiled 27 to 16 computations (40.7% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
✓0.0b
(-.f64 (*.f64 a a) (*.f64 b b))
✓12.2b
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Compiler

Compiled 53 to 8 computations (84.9% saved)

series9.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
1.0ms
a
@0
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
1.0ms
b
@inf
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
1.0ms
a
@inf
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
1.0ms
b
@0
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))

rewrite122.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
881×prod-diff_binary64
506×log-prod_binary64
413×fma-def_binary64
251×pow2_binary64
215×egg-rr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0946
121438
2334232
Stop Event
1×node limit
Counts
3 → 304
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fabs.f64 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (*.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) (-.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 3) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))) (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 a 4))) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) 1) (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) 1) (/.f64 (-.f64 a b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) a) (/.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (cbrt.f64 (pow.f64 a 4))) (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) (cbrt.f64 (pow.f64 a 4))) (/.f64 (-.f64 a b) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fabs.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (fma.f64 b (neg.f64 b) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (pow.f64 b 4)) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a a (neg.f64 (*.f64 (*.f64 (cbrt.f64 b) b) (pow.f64 (cbrt.f64 b) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (*.f64 (*.f64 (cbrt.f64 b) b) (pow.f64 (cbrt.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 a a) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 b) b) (pow.f64 (cbrt.f64 b) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (*.f64 (*.f64 (cbrt.f64 b) b) (pow.f64 (cbrt.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 a a) (neg.f64 (*.f64 (*.f64 (cbrt.f64 b) b) (pow.f64 (cbrt.f64 b) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (sqrt.f64 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b)))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b)))) (sqrt.f64 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1))))))

simplify97.0ms (2%)

Algorithm
1×egg-herbie
Rules
808×fma-neg_binary64
730×associate-/r*_binary64
695×associate-/l/_binary64
473×associate-/r/_binary64
420×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017999
140891
297843
3297843
41359843
57378843
Stop Event
1×node limit
Counts
376 → 317
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
Outputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(*.f64 (/.f64 (neg.f64 b) (*.f64 a a)) b)
(*.f64 b (/.f64 (/.f64 (neg.f64 b) a) a))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(*.f64 (/.f64 (neg.f64 b) (*.f64 a a)) b)
(*.f64 b (/.f64 (/.f64 (neg.f64 b) a) a))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))
(*.f64 (/.f64 (neg.f64 b) (*.f64 a a)) b)
(*.f64 b (/.f64 (/.f64 (neg.f64 b) a) a))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) a) b 1)
(fma.f64 b (/.f64 (/.f64 (neg.f64 b) a) a) 1)
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
✓13.3b
(/.f64 b (*.f64 a a))
Compiler

Compiled 40 to 14 computations (65% saved)

series12.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
b
@-inf
(/.f64 b (*.f64 a a))
2.0ms
b
@inf
(/.f64 b (*.f64 a a))
1.0ms
b
@0
(/.f64 b (*.f64 a a))
1.0ms
a
@0
(/.f64 b (*.f64 a a))
1.0ms
b
@-inf
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

rewrite115.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
832×pow1_binary64
772×add-log-exp_binary64
772×log1p-expm1-u_binary64
772×expm1-log1p-u_binary64
752×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0922
118320
2234820
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(/.f64 b (*.f64 a a))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (pow.f64 a -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 b (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (pow.f64 a -2))) (cbrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4))) (cbrt.f64 (*.f64 b (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 a 4))) (/.f64 b (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (*.f64 b (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 a 4))) (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (pow.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (pow.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 b) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (pow.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (pow.f64 a -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) (cbrt.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))) (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 1/4) (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1))))))))

simplify140.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
966×fma-def_binary64
691×associate-/r/_binary64
434×unswap-sqr_binary64
262×cancel-sign-sub-inv_binary64
231×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010528
117528
230528
355528
4136528
5453528
61907528
73262528
83991528
94603528
105599528
Stop Event
1×node limit
Counts
100 → 56
Calls
Call 1
Inputs
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
Outputs
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

eval187.0ms (3.8%)

Compiler

Compiled 8086 to 3366 computations (58.4% saved)

prune102.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3694373
Fresh000
Picked101
Done101
Total3714375
Error
0b
Counts
375 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶12.6b
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))
▶1.0b
(sqrt.f64 (fabs.f64 1))
▶0.1b
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))))
▶0.0b
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
Compiler

Compiled 48 to 34 computations (29.2% saved)

localize13.0ms (0.3%)

Compiler

Compiled 8 to 8 computations (0% saved)

localize39.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))))
✓0.0b
(/.f64 a (-.f64 a b))
✓0.0b
(/.f64 (+.f64 a b) (/.f64 a (-.f64 a b)))
✓0.1b
(*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))
Compiler

Compiled 70 to 21 computations (70% saved)

series29.0ms (0.6%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
7.0ms
b
@inf
(*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))
2.0ms
a
@-inf
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))))
1.0ms
a
@0
(/.f64 a (-.f64 a b))
1.0ms
b
@0
(*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))
1.0ms
a
@0
(*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))

rewrite135.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
726×log-prod_binary64
588×prod-diff_binary64
300×log-div_binary64
275×fma-def_binary64
223×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01256
127854
2439554
Stop Event
1×node limit
Counts
4 → 188
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))
(/.f64 (+.f64 a b) (/.f64 a (-.f64 a b)))
(/.f64 a (-.f64 a b))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))))
Outputs
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simplify128.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
893×div-sub_binary64
356×times-frac_binary64
289×fma-def_binary64
228×unsub-neg_binary64
222×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0731729
12411561
28001426
337081210
Stop Event
1×node limit
Counts
284 → 221
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
1
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
1
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b)))
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b))))
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b))))
a
(+.f64 a (+.f64 b (*.f64 -1 b)))
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b))))
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b))))
a
(+.f64 a (+.f64 b (*.f64 -1 b)))
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b))))
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b))))
a
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a)))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a)))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a)))
(*.f64 -1 (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))))
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(*.f64 -1 (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(*.f64 -1 (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
Outputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) a)
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) a)
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
1
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a))))
1
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
1
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a))))
1
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) a)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) a)
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (+.f64 (/.f64 b a) 1) (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (/.f64 b a) (-.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(*.f64 -1 (/.f64 (pow.f64 b 2) a))
(neg.f64 (/.f64 (*.f64 b b) a))
(/.f64 (*.f64 (neg.f64 b) b) a)
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 (/.f64 b a) (neg.f64 b))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b)))
(neg.f64 (/.f64 (*.f64 b b) a))
(/.f64 (*.f64 (neg.f64 b) b) a)
(/.f64 (neg.f64 b) (/.f64 a b))
(*.f64 (/.f64 b a) (neg.f64 b))
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b))))
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b)))
(-.f64 a (/.f64 b (/.f64 a b)))
(-.f64 a (*.f64 (/.f64 b a) b))
(-.f64 a (*.f64 b (/.f64 b a)))
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b))))
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b)))
(-.f64 a (/.f64 b (/.f64 a b)))
(-.f64 a (*.f64 (/.f64 b a) b))
(-.f64 a (*.f64 b (/.f64 b a)))
a
(+.f64 a (+.f64 b (*.f64 -1 b)))
a
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b))))
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b)))
(-.f64 a (/.f64 b (/.f64 a b)))
(-.f64 a (*.f64 (/.f64 b a) b))
(-.f64 a (*.f64 b (/.f64 b a)))
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b))))
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b)))
(-.f64 a (/.f64 b (/.f64 a b)))
(-.f64 a (*.f64 (/.f64 b a) b))
(-.f64 a (*.f64 b (/.f64 b a)))
a
(+.f64 a (+.f64 b (*.f64 -1 b)))
a
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b))))
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b)))
(-.f64 a (/.f64 b (/.f64 a b)))
(-.f64 a (*.f64 (/.f64 b a) b))
(-.f64 a (*.f64 b (/.f64 b a)))
(+.f64 a (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) a)) (+.f64 b (*.f64 -1 b))))
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b)))
(-.f64 a (/.f64 b (/.f64 a b)))
(-.f64 a (*.f64 (/.f64 b a) b))
(-.f64 a (*.f64 b (/.f64 b a)))
a
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b)))
(-.f64 a (/.f64 b (/.f64 a b)))
(-.f64 a (*.f64 (/.f64 b a) b))
(-.f64 a (*.f64 b (/.f64 b a)))
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b)))
(-.f64 a (/.f64 b (/.f64 a b)))
(-.f64 a (*.f64 (/.f64 b a) b))
(-.f64 a (*.f64 b (/.f64 b a)))
(+.f64 a (*.f64 -1 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (fma.f64 -1 (/.f64 (*.f64 b b) a) (*.f64 0 b)))
(-.f64 a (/.f64 b (/.f64 a b)))
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(sqrt.f64 (fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a)))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a)))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a)))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a)))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a)))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a)))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a)))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 b a)))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1)))

localize28.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))
✓12.2b
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))
Compiler

Compiled 56 to 9 computations (83.9% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))
1.0ms
a
@-inf
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))
1.0ms
a
@inf
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))
1.0ms
b
@-inf
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))
1.0ms
a
@0
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))

rewrite118.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
974×prod-diff_binary64
637×log-prod_binary64
442×fma-def_binary64
230×fma-neg_binary64
224×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
123731
2393731
Stop Event
1×node limit
Counts
2 → 92
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)))) (cbrt.f64 (exp.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 a (/.f64 a (/.f64 (+.f64 a b) a))) (/.f64 b (/.f64 a (/.f64 (+.f64 a b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 a b) (/.f64 1 (/.f64 a (/.f64 (+.f64 a b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 a b) (*.f64 (+.f64 a b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fabs.f64 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) 2) (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))))) (#(struct:change #<rule 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(fabs.f64 (/.f64 (-.f64 a b) a)) (fabs.f64 (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) a) (/.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 a b) 1) (/.f64 (+.f64 a b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) 1) (/.f64 (-.f64 a b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 a b) (*.f64 a a)) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1) (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 a b) (cbrt.f64 (pow.f64 a 4))) (/.f64 (+.f64 a b) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) (cbrt.f64 (pow.f64 a 4))) (/.f64 (-.f64 a b) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 a 4))) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (cbrt.f64 (pow.f64 a 4))) (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2) (pow.f64 a 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) (pow.f64 (*.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)) (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (sqrt.f64 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 a b) a)) (sqrt.f64 (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 a (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (/.f64 a (/.f64 (+.f64 a b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (-.f64 a b) (neg.f64 (+.f64 a b)))) (sqrt.f64 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)) 1))))))

simplify94.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
472×fma-neg_binary64
341×associate-/l/_binary64
328×div-sub_binary64
319×cancel-sign-sub-inv_binary64
312×fabs-div_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040953
1131908
2430863
31796608
47586608
Stop Event
1×node limit
Counts
140 → 104
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
1
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
1
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
Outputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 b a) (/.f64 b (neg.f64 a)))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a))))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 b a) (/.f64 b (neg.f64 a)))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
1
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a))))
1
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
1
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a))))
1
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 b a) (/.f64 b (neg.f64 a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 b a) (/.f64 b (neg.f64 a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (*.f64 0 (/.f64 b a)))
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 b (*.f64 -1 a)) (+.f64 b (*.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a (*.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 a a)))
(sqrt.f64 (/.f64 (fabs.f64 (/.f64 (-.f64 b a) (/.f64 a (+.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

localize27.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
✓0.0b
(-.f64 1 (pow.f64 (/.f64 b a) 2))
✓0.4b
(pow.f64 (/.f64 b a) 2)
Compiler

Compiled 31 to 18 computations (41.9% saved)

series21.0ms (0.4%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
b
@-inf
(pow.f64 (/.f64 b a) 2)
2.0ms
a
@0
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
2.0ms
b
@inf
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
2.0ms
b
@0
(pow.f64 (/.f64 b a) 2)
2.0ms
b
@inf
(pow.f64 (/.f64 b a) 2)

rewrite99.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
974×pow1_binary64
908×add-log-exp_binary64
907×log1p-expm1-u_binary64
907×expm1-log1p-u_binary64
102×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
121829
2252229
Stop Event
1×node limit
Counts
3 → 88
Calls
Call 1
Inputs
(pow.f64 (/.f64 b a) 2)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 (pow.f64 a -1) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (*.f64 (pow.f64 a -1) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (pow.f64 (pow.f64 a -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (pow.f64 (/.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (*.f64 (cbrt.f64 (/.f64 b a)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 b a)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) b) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (*.f64 (/.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (*.f64 a (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b a) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 a b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (*.f64 (/.f64 a b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (neg.f64 a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) 1) (*.f64 (neg.f64 a) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (neg.f64 b)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (/.f64 b a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b a) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (/.f64 b a) 4)) (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (/.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 b a) 4)) (pow.f64 (/.f64 b a) 2)) (-.f64 1 (pow.f64 (/.f64 b a) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) (-.f64 1 (pow.f64 (/.f64 b a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6)) (+.f64 (+.f64 1 (pow.f64 (/.f64 b a) 4)) (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (+.f64 (pow.f64 (/.f64 b a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 b a) 4)) (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (neg.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) (neg.f64 (pow.f64 (/.f64 b a) 2))) (neg.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) (neg.f64 (pow.f64 (/.f64 b a) 2)))) (-.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 b a) 4)) (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))

simplify121.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
835×times-frac_binary64
609×cancel-sign-sub-inv_binary64
504×fma-neg_binary64
419×distribute-neg-frac_binary64
329×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0681237
11991188
26611154
343171136
459491109
Stop Event
1×node limit
Counts
160 → 116
Calls
Call 1
Inputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
Outputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
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(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (pow.f64 b 3))) (/.f64 (sqrt.f64 -1) (/.f64 a b))))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 a b) (*.f64 (/.f64 b a) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1))))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (/.f64 a b) (/.f64 1/2 (sqrt.f64 -1)))))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (pow.f64 b 3))) (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 b 5)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1)))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))
(+.f64 1 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)))
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))
(+.f64 1 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)))
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)))

eval239.0ms (4.9%)

Compiler

Compiled 7971 to 3524 computations (55.8% saved)

prune58.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4374441
Fresh000
Picked101
Done303
Total4414445
Error
0b
Counts
445 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶13.4b
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)
▶0.0b
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
▶0.5b
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1)
▶1.0b
(pow.f64 1 1/2)
Compiler

Compiled 42 to 28 computations (33.3% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 a a) (*.f64 b b))
✓0.0b
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)
✓13.0b
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Compiler

Compiled 35 to 7 computations (80% saved)

series10.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
a
@0
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
1.0ms
b
@inf
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
1.0ms
a
@0
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)
1.0ms
a
@inf
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
1.0ms
b
@0
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))

rewrite75.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
666×prod-diff_binary64
450×log-prod_binary64
400×fma-def_binary64
301×pow-prod-down_binary64
237×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0827
118527
2267725
Stop Event
1×node limit
Counts
2 → 79
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/6) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (hypot.f64 (*.f64 a a) (hypot.f64 (*.f64 b b) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (hypot.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (hypot.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) b))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) b) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)) (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))) (cbrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/6) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)) (sqrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1) (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/6) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (sqrt.f64 a)) (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/6) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3/2) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3/2) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))) -1))))))

simplify91.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
601×associate-/l*_binary64
543×associate-/r*_binary64
518×fma-neg_binary64
512×fma-def_binary64
296×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01161332
13631298
212171258
353371258
470621252
Stop Event
1×node limit
Counts
127 → 139
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(*.f64 -1 a)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1 a))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1 a)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (*.f64 -1 a))))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (*.f64 -1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
-1
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) 1)
(-.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) 1)
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))))
Outputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b))
(fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 (*.f64 a a) b)))
(fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a)))
(fma.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b)))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 (*.f64 a a) b))))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a))))
(fma.f64 (sqrt.f64 -1) b (fma.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) (*.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (fma.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 6) (pow.f64 b 5))))))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (fma.f64 (sqrt.f64 -1) b (fma.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a)))))
(fma.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 6) (pow.f64 b 5)) (*.f64 (sqrt.f64 -1) b))))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (/.f64 (*.f64 -1/2 (*.f64 b b)) a))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a)
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (/.f64 (*.f64 -1/2 (*.f64 b b)) a)))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (/.f64 (*.f64 (*.f64 -1/2 b) b) a)))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 b a) b) a))
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) a) (/.f64 (*.f64 -1/16 (pow.f64 b 6)) (pow.f64 a 5)))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (/.f64 (*.f64 (*.f64 -1/2 b) b) a))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 b a) b) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (*.f64 (/.f64 -1/2 a) (*.f64 b b)))))
(*.f64 -1 a)
(neg.f64 a)
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(fma.f64 1/2 (/.f64 (*.f64 b b) a) (neg.f64 a))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 b b)) a) a)
(fma.f64 (/.f64 1/2 a) (*.f64 b b) (neg.f64 a))
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(fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (*.f64 b b) a) (neg.f64 a)))
(-.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (/.f64 (*.f64 1/2 (*.f64 b b)) a)) a)
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 b a) b) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8)) a)
(-.f64 (*.f64 (/.f64 1/2 a) (*.f64 b b)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) a))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (*.f64 -1 a))))
(fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (*.f64 b b) a) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (neg.f64 a))))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (-.f64 (fma.f64 1/2 (/.f64 b (/.f64 a b)) (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)))) a))
(fma.f64 1/2 (*.f64 (/.f64 b a) b) (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (-.f64 (*.f64 (/.f64 1/16 (pow.f64 a 5)) (pow.f64 b 6)) a)))
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (*.f64 (/.f64 1/2 a) (*.f64 b b))) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) a))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (/.f64 (*.f64 -1/2 (*.f64 b b)) a))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a)
(+.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (/.f64 (*.f64 -1/2 (*.f64 b b)) a)))
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(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 b a) b) a))
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(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (*.f64 (/.f64 -1/2 a) (*.f64 b b)))))
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b))
(fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 (*.f64 a a) b)))
(fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a)))
(fma.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b)))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 (*.f64 a a) b))))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a))))
(fma.f64 (sqrt.f64 -1) b (fma.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) (*.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (fma.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 6) (pow.f64 b 5))))))
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(fma.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 6) (pow.f64 b 5)) (*.f64 (sqrt.f64 -1) b))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) b))
(neg.f64 (*.f64 (sqrt.f64 -1) b))
(*.f64 b (neg.f64 (sqrt.f64 -1)))
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(fma.f64 -1 (*.f64 (sqrt.f64 -1) b) (*.f64 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) -1/2))
(fma.f64 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) -1/2 (*.f64 b (neg.f64 (sqrt.f64 -1))))
(-.f64 (*.f64 (/.f64 a (sqrt.f64 -1)) (*.f64 (/.f64 a b) -1/2)) (*.f64 (sqrt.f64 -1) b))
(fma.f64 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) -1/2 (*.f64 b (neg.f64 (sqrt.f64 -1))))
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(fma.f64 -1 (*.f64 (sqrt.f64 -1) b) (fma.f64 -1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) 1/8)))
(-.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) -1/2 (/.f64 (/.f64 (*.f64 (pow.f64 a 4) 1/8) (pow.f64 b 3)) (neg.f64 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) b))
(-.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) -1/2 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (/.f64 -1/8 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) b))
(-.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) -1/2) (fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 4) (pow.f64 b 3)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/16 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))))
(fma.f64 -1 (*.f64 (sqrt.f64 -1) b) (fma.f64 -1/2 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) (fma.f64 1/8 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (*.f64 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) -1/16))))
(-.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (sqrt.f64 -1) b)) -1/2 (fma.f64 (/.f64 (pow.f64 a 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) 1/8 (*.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 6) (pow.f64 b 5))))) (*.f64 (sqrt.f64 -1) b))
(-.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) -1/2 (fma.f64 (/.f64 (pow.f64 a 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) -1/16 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (/.f64 -1/8 (sqrt.f64 -1))))) (*.f64 (sqrt.f64 -1) b))
(-.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) -1/2 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (/.f64 -1/8 (sqrt.f64 -1)))) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 6) (pow.f64 b 5)) (*.f64 (sqrt.f64 -1) b)))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(/.f64 (sqrt.f64 -1) (/.f64 a b))
(*.f64 (/.f64 (sqrt.f64 -1) a) b)
(*.f64 (/.f64 b a) (sqrt.f64 -1))
(*.f64 b (/.f64 (sqrt.f64 -1) a))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))
(fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 a (/.f64 b 1/2)) (sqrt.f64 -1)))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 b a) (sqrt.f64 -1))))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 a (/.f64 b 1/2)) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1)))))
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(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 -1/8 (/.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3)) (pow.f64 a 3)))))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 (/.f64 b a) (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1))))))
1
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(+.f64 1 (*.f64 -1/2 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1)
(fma.f64 (/.f64 -1/2 a) (*.f64 (/.f64 b a) b) 1)
(fma.f64 -1/2 (*.f64 (/.f64 b (*.f64 a a)) b) 1)
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(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 (/.f64 -1/2 a) (*.f64 (/.f64 b a) b) 1))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 -1/2 (*.f64 (/.f64 b (*.f64 a a)) b) 1))
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(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 (/.f64 -1/2 a) (*.f64 (/.f64 b a) b) 1)))
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 -1/2 (*.f64 (/.f64 b (*.f64 a a)) b) 1)))
-1
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) 1)
(fma.f64 1/2 (/.f64 (*.f64 b b) (*.f64 a a)) -1)
(fma.f64 1/2 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 1/2 a) (*.f64 (/.f64 b a) b) -1)
(fma.f64 1/2 (*.f64 (/.f64 b (*.f64 a a)) b) -1)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) 1)
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (fma.f64 1/2 (/.f64 (*.f64 b b) (*.f64 a a)) -1))
(fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 1/2 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 (/.f64 1/2 a) (*.f64 (/.f64 b a) b) -1))
(fma.f64 1/2 (*.f64 (/.f64 b (*.f64 a a)) b) (fma.f64 (/.f64 1/8 (pow.f64 a 4)) (pow.f64 b 4) -1))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) 1)
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 1/2 (/.f64 (*.f64 b b) (*.f64 a a))))) -1)
(fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 1/2 (*.f64 (/.f64 b a) (/.f64 b a)) -1)))
(fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 (/.f64 1/2 a) (*.f64 (/.f64 b a) b) -1)))
(fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/2 (*.f64 (/.f64 b (*.f64 a a)) b) (fma.f64 (/.f64 1/8 (pow.f64 a 4)) (pow.f64 b 4) -1)))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1)
(fma.f64 (/.f64 -1/2 a) (*.f64 (/.f64 b a) b) 1)
(fma.f64 -1/2 (*.f64 (/.f64 b (*.f64 a a)) b) 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -1/2 (/.f64 (*.f64 b b) (*.f64 a a)))))
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 (*.f64 -1/2 b) b) (*.f64 a a))))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 (/.f64 -1/2 a) (*.f64 (/.f64 b a) b) 1))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 -1/2 (*.f64 (/.f64 b (*.f64 a a)) b) 1))
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 -1/2 (/.f64 (*.f64 b b) (*.f64 a a))))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 (*.f64 -1/2 b) b) (*.f64 a a)))))
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 (/.f64 -1/2 a) (*.f64 (/.f64 b a) b) 1)))
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 -1/2 (*.f64 (/.f64 b (*.f64 a a)) b) 1)))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(/.f64 (sqrt.f64 -1) (/.f64 a b))
(*.f64 (/.f64 (sqrt.f64 -1) a) b)
(*.f64 (/.f64 b a) (sqrt.f64 -1))
(*.f64 b (/.f64 (sqrt.f64 -1) a))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))
(fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 a (/.f64 b 1/2)) (sqrt.f64 -1)))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (*.f64 (/.f64 (sqrt.f64 -1) a) b)))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 b a) (sqrt.f64 -1))))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 a (/.f64 b 1/2)) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1)))))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 -1/8 (/.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3)) (pow.f64 a 3)))))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 (/.f64 b a) (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))))
(fma.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1))))))
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 -1) b)) a)
(/.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 a b))
(*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b))
(*.f64 (/.f64 b a) (neg.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))
(-.f64 (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (*.f64 (/.f64 b a) (sqrt.f64 -1)))
(-.f64 (/.f64 (*.f64 a -1/2) (*.f64 (sqrt.f64 -1) b)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))
(-.f64 (fma.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (/.f64 1/8 (/.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3)) (pow.f64 a 3)))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (fma.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (/.f64 (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 a 3)) (pow.f64 b 3))) (*.f64 (/.f64 b a) (sqrt.f64 -1)))
(-.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 -1/8 (sqrt.f64 -1))) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 a (/.f64 b 1/2)) (sqrt.f64 -1))))
(-.f64 (/.f64 (*.f64 a -1/2) (*.f64 (sqrt.f64 -1) b)) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))))
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (fma.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 a 3)) (pow.f64 b 3)))) (*.f64 (/.f64 b a) (sqrt.f64 -1)))
(fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 (*.f64 a -1/2) (*.f64 (sqrt.f64 -1) b))) (*.f64 b (/.f64 (sqrt.f64 -1) a))))
(-.f64 (fma.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)) (/.f64 (/.f64 1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1)))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 b (/.f64 (sqrt.f64 -1) a))))

localize4.0ms (0.1%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
✓0.0b
(-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b)))
✓0.3b
(/.f64 (/.f64 b a) (/.f64 a b))
Compiler

Compiled 39 to 13 computations (66.7% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
b
@inf
(/.f64 (/.f64 b a) (/.f64 a b))
1.0ms
b
@0
(/.f64 (/.f64 b a) (/.f64 a b))
1.0ms
a
@0
(/.f64 (/.f64 b a) (/.f64 a b))
0.0ms
a
@inf
(/.f64 (/.f64 b a) (/.f64 a b))
0.0ms
b
@inf
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)

rewrite92.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
549×log-prod_binary64
540×prod-diff_binary64
306×pow-prod-down_binary64
272×pow2_binary64
212×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01038
122629
2306629
Stop Event
1×node limit
Counts
3 → 135
Calls
Call 1
Inputs
(/.f64 (/.f64 b a) (/.f64 a b))
(-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b)))
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (pow.f64 (*.f64 a a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (pow.f64 (cbrt.f64 (/.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (/.f64 (/.f64 b a) (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 4) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (/.f64 a b) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (sqrt.f64 (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 b) a) (/.f64 1 (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (/.f64 b a) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 a a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (/.f64 a b)) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (/.f64 a b)) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) a) (/.f64 (cbrt.f64 (/.f64 b a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 b a)) a) (/.f64 (sqrt.f64 (/.f64 b a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 (/.f64 1 a) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1) (/.f64 (cbrt.f64 (/.f64 b a)) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 b a)) 1) (pow.f64 (/.f64 b a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (/.f64 (/.f64 1 a) (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (hypot.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (hypot.f64 1 (hypot.f64 (/.f64 b a) (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1))))))

simplify79.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
835×times-frac_binary64
609×cancel-sign-sub-inv_binary64
504×fma-neg_binary64
419×distribute-neg-frac_binary64
329×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0681237
11991188
26611154
343171136
459491109
Stop Event
1×node limit
Counts
207 → 163
Calls
Call 1
Inputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
Outputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))
(+.f64 1 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)))
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(/.f64 (sqrt.f64 -1) (/.f64 a b))
(*.f64 (/.f64 b a) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 a b) (*.f64 (/.f64 b a) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (/.f64 a b) (/.f64 1/2 (sqrt.f64 -1))))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (pow.f64 b 3))) (/.f64 (sqrt.f64 -1) (/.f64 a b))))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 a b) (*.f64 (/.f64 b a) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1))))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (/.f64 a b) (/.f64 1/2 (sqrt.f64 -1)))))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (pow.f64 b 3))) (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 b 5)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1)))))
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(/.f64 (neg.f64 (*.f64 b (sqrt.f64 -1))) a)
(*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (/.f64 (*.f64 -1/2 a) (*.f64 b (sqrt.f64 -1))))
(-.f64 (/.f64 (/.f64 (*.f64 a -1/2) b) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(-.f64 (/.f64 (/.f64 a (/.f64 b -1/2)) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))
(-.f64 (*.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 -1/2 b)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b)))))
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (/.f64 (*.f64 -1/2 a) (*.f64 b (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (*.f64 (/.f64 (pow.f64 a 3) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (pow.f64 b 3))) 1/8)) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(-.f64 (fma.f64 -1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))) (*.f64 (/.f64 b a) (sqrt.f64 -1)))
(-.f64 (*.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 -1/2 b)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))))))
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 (*.f64 -1/2 a) (*.f64 b (sqrt.f64 -1))))))
(-.f64 (fma.f64 (/.f64 (pow.f64 a 3) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (pow.f64 b 3))) 1/8 (fma.f64 -1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (fma.f64 -1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 b 5) -1/16))) (*.f64 (/.f64 b a) (sqrt.f64 -1))))
(-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 -1/2 b))) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.f64 (/.f64 b a) (sqrt.f64 -1))))
(-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 -1/2 b))) (fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/16 (pow.f64 b 5)))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(/.f64 (sqrt.f64 -1) (/.f64 a b))
(*.f64 (/.f64 b a) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 a b) (*.f64 (/.f64 b a) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (/.f64 a b) (/.f64 1/2 (sqrt.f64 -1))))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (pow.f64 b 3))) (/.f64 (sqrt.f64 -1) (/.f64 a b))))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 a b) (*.f64 (/.f64 b a) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1))))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (/.f64 a b) (/.f64 1/2 (sqrt.f64 -1)))))
(+.f64 (*.f64 1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (/.f64 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(+.f64 (fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b))) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (pow.f64 b 3))) (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.f64 (/.f64 b a) (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 b 5)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1)))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))
(+.f64 1 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)))
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))
(+.f64 1 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a)))))
(+.f64 1 (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)))
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 (/.f64 b a) (/.f64 b a))
Compiler

Compiled 26 to 9 computations (65.4% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
b
@0
(*.f64 (/.f64 b a) (/.f64 b a))
0.0ms
b
@-inf
(*.f64 (/.f64 b a) (/.f64 b a))
0.0ms
b
@inf
(*.f64 (/.f64 b a) (/.f64 b a))
0.0ms
a
@inf
(*.f64 (/.f64 b a) (/.f64 b a))
0.0ms
a
@-inf
(*.f64 (/.f64 b a) (/.f64 b a))

rewrite60.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
585×pow1_binary64
545×add-log-exp_binary64
545×log1p-expm1-u_binary64
545×expm1-log1p-u_binary64
530×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11097
215387
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(*.f64 (/.f64 b a) (/.f64 b a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (*.f64 a (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (*.f64 (/.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (*.f64 a a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 a (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b a) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 a b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (*.f64 (/.f64 a b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (/.f64 b a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (neg.f64 a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b b)) (neg.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b (/.f64 b a))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) 1) (*.f64 (neg.f64 a) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (neg.f64 b)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b (/.f64 b a)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b (/.f64 b a)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b (/.f64 b a)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b a)) 2))))))

simplify105.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1172×associate-/r/_binary64
601×sqr-pow_binary64
570×unswap-sqr_binary64
555×times-frac_binary64
257×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07240
115240
230240
373240
4305240
52543240
63799240
73983240
84202240
94446240
104775240
116703240
127357240
Stop Event
1×node limit
Counts
57 → 35
Calls
Call 1
Inputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
Outputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))

eval173.0ms (3.6%)

Compiler

Compiled 10630 to 4905 computations (53.9% saved)

prune79.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New5562558
Fresh000
Picked011
Done213
Total5584562
Error
0b
Counts
562 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
1
✓0.0b
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
▶13.4b
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
✓0.5b
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1)
Compiler

Compiled 40 to 26 computations (35% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
✓13.0b
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
Compiler

Compiled 35 to 7 computations (80% saved)

series10.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
a
@inf
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
1.0ms
a
@0
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
1.0ms
a
@-inf
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
1.0ms
a
@-inf
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
1.0ms
b
@0
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))

rewrite82.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
803×prod-diff_binary64
512×log-prod_binary64
367×fma-def_binary64
252×pow2_binary64
177×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
118727
2296227
Stop Event
1×node limit
Counts
2 → 88
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (sqrt.f64 (*.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)) (sqrt.f64 (*.f64 b (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)) (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (*.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (sqrt.f64 (*.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)) (cbrt.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) (*.f64 a a))) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) (*.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 a b)) (*.f64 (sqrt.f64 (+.f64 a b)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) 1) (/.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 a b)) 1) (/.f64 (sqrt.f64 (+.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (+.f64 a b)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) (sqrt.f64 a)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) (*.f64 a a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) a)) 1))))))

simplify83.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
791×associate-/r*_binary64
503×associate-*l/_binary64
441×associate-+l+_binary64
362×associate-*r/_binary64
281×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01941414
16691020
23426536
Stop Event
1×node limit
Counts
136 → 145
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (*.f64 (+.f64 b (*.f64 -1 b)) (pow.f64 a 3))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))))
a
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) a)
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) a)) a))
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2))) (pow.f64 a 2))) a)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))))
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))
a
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) a)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2) 1) (pow.f64 b 3))) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a)))
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 2)))) (*.f64 (sqrt.f64 -1) b))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 2)))))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) a) (*.f64 (sqrt.f64 -1) b)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (*.f64 (+.f64 b (*.f64 -1 b)) (pow.f64 a 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) a) (*.f64 (sqrt.f64 -1) b))))))
1
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) 1)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) (pow.f64 a 2)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2))) (pow.f64 a 3))) (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) (pow.f64 a 2))))))
(*.f64 -1 (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) (pow.f64 a 2))) (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) a)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 3)))))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2) 1) (pow.f64 b 2)) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (*.f64 (+.f64 a (*.f64 -1 a)) (pow.f64 b 3))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2) 1) (pow.f64 b 2)) (pow.f64 a 2))))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a b)))) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a)))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) b) a) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 a (pow.f64 b 2))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a b)))) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a))))))
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a b))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 a (pow.f64 b 2))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a b)))))))
Outputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) (/.f64 a b))))
(fma.f64 (sqrt.f64 -1) b (/.f64 0 (*.f64 (sqrt.f64 -1) b)))
(fma.f64 (sqrt.f64 -1) b 0)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))))
(fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b))) 2)) (/.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 a a))) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) (/.f64 a b)))))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) 2)) (sqrt.f64 -1)) (/.f64 a (/.f64 b a))) (fma.f64 (sqrt.f64 -1) b (/.f64 0 (*.f64 (sqrt.f64 -1) b))))
(fma.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (*.f64 (+.f64 b (*.f64 -1 b)) (pow.f64 a 3))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))))
(fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b))) 2)) (/.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 a a))) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) (/.f64 a b)))))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 0 (*.f64 (sqrt.f64 -1) b)) 2)) (sqrt.f64 -1)) (/.f64 a (/.f64 b a))) (fma.f64 (sqrt.f64 -1) b (/.f64 0 (*.f64 (sqrt.f64 -1) b))))
(fma.f64 1/2 (*.f64 (/.f64 a (*.f64 (sqrt.f64 -1) b)) a) (*.f64 (sqrt.f64 -1) b))
a
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) a)
a
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) a)) a))
(fma.f64 1/2 (*.f64 0 b) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) a) a))
(+.f64 0 (fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 b b) 0) a) a))
(fma.f64 1/2 (/.f64 (neg.f64 b) (/.f64 a b)) a)
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2))) (pow.f64 a 2))) a)))
(fma.f64 1/2 (*.f64 0 b) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) a) a))
(+.f64 0 (fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 b b) 0) a) a))
(fma.f64 1/2 (/.f64 (neg.f64 b) (/.f64 a b)) a)
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))
a
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
a
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))))
(fma.f64 1/2 (*.f64 0 b) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 b) (sqrt.f64 -1))) 2)) a) (*.f64 (neg.f64 (pow.f64 (sqrt.f64 -1) 2)) a)))
(fma.f64 1 a (*.f64 -1/2 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) a)))
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a)
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))
(fma.f64 1/2 (*.f64 0 b) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 b) (sqrt.f64 -1))) 2)) a) (*.f64 (neg.f64 (pow.f64 (sqrt.f64 -1) 2)) a)))
(fma.f64 1 a (*.f64 -1/2 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) a)))
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a)
a
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) a)
a
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a))
(fma.f64 1/2 (*.f64 0 b) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 b) (sqrt.f64 -1))) 2)) a) (*.f64 (neg.f64 (pow.f64 (sqrt.f64 -1) 2)) a)))
(fma.f64 1 a (*.f64 -1/2 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) a)))
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a)
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(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a b))))))
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/2 (/.f64 (*.f64 0 a) (*.f64 (sqrt.f64 -1) a)) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 a) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 b a))))))
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 a a) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 b a))) (/.f64 (/.f64 0 (sqrt.f64 -1)) a)) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (*.f64 (/.f64 b a) (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) b) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 a (pow.f64 b 2))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (sqrt.f64 -1) a))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a b)))))))
(fma.f64 -1 (/.f64 (sqrt.f64 -1) (/.f64 a b)) (fma.f64 1/2 (/.f64 (*.f64 0 a) (*.f64 (sqrt.f64 -1) a)) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 a) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 b a))))))
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 a a) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 b a))) (/.f64 (/.f64 0 (sqrt.f64 -1)) a)) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (*.f64 -1/2 (/.f64 a (*.f64 (sqrt.f64 -1) b))) (*.f64 (/.f64 b a) (sqrt.f64 -1)))

eval90.0ms (1.9%)

Compiler

Compiled 3163 to 1662 computations (47.5% saved)

prune38.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1450145
Fresh011
Picked011
Done022
Total1454149
Error
0b
Counts
149 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
1
✓0.0b
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
✓13.4b
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
✓0.5b
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1)
Compiler

Compiled 40 to 26 computations (35% saved)

regimes106.0ms (2.2%)

Counts
12 → 1
Calls
Call 1
Inputs
1
(pow.f64 1 1/2)
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1)
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
(sqrt.f64 (fabs.f64 1))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
Outputs
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
Calls

12 calls:

15.0ms
a
15.0ms
b
12.0ms
(*.f64 a a)
11.0ms
(*.f64 a a)
7.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Results
ErrorSegmentsBranch
0.0b1a
0.0b1b
0.0b1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
0.0b1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
0.0b1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
0.0b1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
0.0b1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
0.0b1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
0.0b1(*.f64 a a)
0.0b1(*.f64 a a)
0.0b1(*.f64 b b)
0.0b1(*.f64 b b)
Compiler

Compiled 220 to 112 computations (49.1% saved)

regimes31.0ms (0.6%)

Counts
5 → 1
Calls
Call 1
Inputs
1
(pow.f64 1 1/2)
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1)
Outputs
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1)
Calls

4 calls:

10.0ms
b
9.0ms
a
4.0ms
(*.f64 b b)
4.0ms
(*.f64 b b)
Results
ErrorSegmentsBranch
0.5b1a
0.5b1b
0.5b1(*.f64 b b)
0.5b1(*.f64 b b)
Compiler

Compiled 52 to 31 computations (40.4% saved)

regimes24.0ms (0.5%)

Accuracy

Total -13.0b remaining (-1286%)

Threshold costs -13.0b (-1286%)

Counts
4 → 1
Calls
Call 1
Inputs
1
(pow.f64 1 1/2)
(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a)
Outputs
1
Calls

3 calls:

8.0ms
b
8.0ms
a
5.0ms
(*.f64 b b)
Results
ErrorSegmentsBranch
1.0b1a
1.0b1b
1.0b1(*.f64 b b)
Compiler

Compiled 37 to 23 computations (37.8% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01331
11731
22331
32931
43431
53731
63831
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1)
1
Outputs
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1)
1
Compiler

Compiled 28 to 19 computations (32.1% saved)

soundness0.0ms (0%)

end46.0ms (0.9%)

Compiler

Compiled 24 to 14 computations (41.7% saved)

Profiling

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