Details

Time bar (total: 6.0s)

analyze57.0ms (1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%37.5%62.5%0
0%37.5%62.5%1
0%18.7%81.3%2
0%9.4%90.6%3
0%9.4%90.6%4
0%7%93%5
1.2%4.7%94.1%6
1.2%3.5%95.3%7
1.8%2.6%95.6%8
2%1.9%96%9
2.4%1.3%96.3%10
2.6%1%96.5%11
2.7%0.7%96.6%12
Compiler

Compiled 26 to 15 computations (42.3% saved)

sample1.8s (30.1%)

Results
1.6s8256×body256valid
150.0ms807×body256invalid

preprocess110.0ms (1.8%)

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)

simplify173.0ms (2.9%)

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)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
13.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶13.0b
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Compiler

Compiled 15 to 8 computations (46.7% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 a a) (*.f64 b b))
✓0.0b
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
✓12.6b
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Compiler

Compiled 53 to 8 computations (84.9% saved)

series20.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

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

rewrite210.0ms (3.5%)

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))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
(-.f64 (*.f64 a a) (*.f64 b b))
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))))))
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simplify121.0ms (2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
017999
140891
297843
3297843
41363843
57354843
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))))
(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))))
(*.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))
Outputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 (neg.f64 b) (*.f64 a a)) b)
(/.f64 b (/.f64 a (/.f64 (neg.f64 b) 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.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 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.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 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.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 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 (neg.f64 b) (*.f64 a a)) b)
(/.f64 b (/.f64 a (/.f64 (neg.f64 b) 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 (neg.f64 b) (*.f64 a a)) b)
(/.f64 b (/.f64 a (/.f64 (neg.f64 b) 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 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)))
(fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a))))
(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)))
(*.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))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (neg.f64 (*.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))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (neg.f64 (*.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))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (neg.f64 (*.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))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (neg.f64 (*.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))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (neg.f64 (*.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))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (neg.f64 (*.f64 b b)))

eval139.0ms (2.3%)

Compiler

Compiled 7315 to 2850 computations (61% saved)

prune108.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3143317
Fresh000
Picked011
Done000
Total3144318
Error
0b
Counts
318 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.9b
(sqrt.f64 (fabs.f64 1))
✓13.0b
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
▶0.0b
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
▶0.0b
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
Compiler

Compiled 45 to 34 computations (24.4% saved)

localize5.0ms (0.1%)

Compiler

Compiled 8 to 8 computations (0% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 52 to 33 computations (36.5% saved)

series23.0ms (0.4%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
a
@inf
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
2.0ms
b
@0
(pow.f64 (/.f64 b a) 2)
1.0ms
a
@0
(sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
1.0ms
b
@inf
(sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
1.0ms
b
@inf
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))

rewrite117.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
498×log-prod_binary64
280×pow-prod-down_binary64
277×pow2_binary64
199×prod-diff_binary64
195×pow-to-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01153
124345
2307445
Stop Event
1×node limit
Counts
4 → 197
Calls
Call 1
Inputs
(pow.f64 (/.f64 b a) 2)
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 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 (pow.f64 (hypot.f64 1 (/.f64 b a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 (/.f64 1 a) (/.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) (pow.f64 a -2))))) (#(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 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (pow.f64 (cbrt.f64 (/.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (/.f64 b a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) 3/2) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 5) (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 (pow.f64 (/.f64 a b) 2))))) (#(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 (pow.f64 (neg.f64 b) 2) (pow.f64 (neg.f64 a) 2))))) (#(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 exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 (/.f64 b a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 b a)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 b a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 b a))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (/.f64 b a)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 b a)) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 b a)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 b a)) (hypot.f64 1 (/.f64 b a)) -1)))))
((#(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 (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 (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)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.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 pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) -1)))) (#(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> 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(log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4)) 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 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1) -1/2))))))

simplify99.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
833×associate-/r*_binary64
750×associate-*r*_binary64
743×fma-def_binary64
703×associate-*l*_binary64
648×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01772674
15562568
220552416
Stop Event
1×node limit
Counts
293 → 265
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 -1/2 (/.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))))))
1
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))))
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))))
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))))
1
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))
1
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 b 4)))))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 a 6)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 a 2)))) (pow.f64 b 6))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 b 4))))))
(/.f64 (*.f64 (sqrt.f64 -1) a) b)
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5)))))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2))) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 a 8)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 7))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5))))))))
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5))))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2))) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 a 8)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 7))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5))))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b)))))
(/.f64 (*.f64 (sqrt.f64 -1) a) b)
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 b 2))))) (*.f64 (pow.f64 a 7) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.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 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.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))
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(-.f64 (*.f64 1/2 (+.f64 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 a (*.f64 (sqrt.f64 -1) (pow.f64 b 5)))))) (*.f64 (/.f64 (sqrt.f64 -1) b) a))
(-.f64 (*.f64 (/.f64 1/2 (sqrt.f64 -1)) (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 a 3)) 2)) (*.f64 a (pow.f64 b 5))))) (*.f64 (/.f64 a b) (sqrt.f64 -1)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2))) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 a 8)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 7))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5))))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b)))))
(fma.f64 1/2 (/.f64 (fma.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)))) (pow.f64 a 8)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 7)))) (fma.f64 1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5)))) (neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 b a))))))
(fma.f64 1/2 (/.f64 (fma.f64 1/2 (*.f64 (/.f64 (*.f64 a a) -1) (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2))) (pow.f64 a 8)) (*.f64 (*.f64 a (sqrt.f64 -1)) (pow.f64 b 7))) (-.f64 (*.f64 1/2 (+.f64 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 a (*.f64 (sqrt.f64 -1) (pow.f64 b 5)))))) (*.f64 (/.f64 (sqrt.f64 -1) b) a)))
(-.f64 (fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 (+.f64 (pow.f64 a 8) (*.f64 -1/2 (fma.f64 (*.f64 a a) (pow.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 a 3)) 2) (pow.f64 a 8)))) (*.f64 a (pow.f64 b 7))) (*.f64 (/.f64 1/2 (sqrt.f64 -1)) (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 a 3)) 2)) (*.f64 a (pow.f64 b 5)))))) (*.f64 (/.f64 a b) (sqrt.f64 -1)))
(/.f64 (*.f64 (sqrt.f64 -1) a) b)
(/.f64 (sqrt.f64 -1) (/.f64 b a))
(*.f64 (/.f64 (sqrt.f64 -1) b) a)
(*.f64 (/.f64 a b) (sqrt.f64 -1))
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))
(+.f64 (/.f64 (sqrt.f64 -1) (/.f64 b a)) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) (*.f64 (/.f64 (sqrt.f64 -1) b) a))
(fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 a b) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (/.f64 (sqrt.f64 -1) (*.f64 b (pow.f64 a 5)))) (+.f64 (/.f64 (sqrt.f64 -1) (/.f64 b a)) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (sqrt.f64 -1)) (*.f64 b (pow.f64 a 5))) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) (*.f64 (/.f64 (sqrt.f64 -1) b) a)))
(fma.f64 (/.f64 (sqrt.f64 -1) b) a (*.f64 -1/2 (+.f64 (/.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (sqrt.f64 -1)) (*.f64 b (pow.f64 a 5))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 b 2))))) (*.f64 (pow.f64 a 7) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (/.f64 (sqrt.f64 -1) (*.f64 b (pow.f64 a 5)))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (*.f64 b b) (pow.f64 (sqrt.f64 -1) 2))))) (/.f64 (sqrt.f64 -1) (*.f64 b (pow.f64 a 7)))) (+.f64 (/.f64 (sqrt.f64 -1) (/.f64 b a)) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (sqrt.f64 -1)) (*.f64 b (pow.f64 a 5))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 b b)))) (/.f64 (/.f64 (sqrt.f64 -1) b) (pow.f64 a 7))) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) (*.f64 (/.f64 (sqrt.f64 -1) b) a))))
(fma.f64 -1/2 (fma.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (sqrt.f64 -1)) (*.f64 b (pow.f64 a 5)) (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 b b)) (/.f64 1 (pow.f64 b 8))) (sqrt.f64 -1)) (*.f64 b (pow.f64 a 7)))) (fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 a b) (sqrt.f64 -1))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2)))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4)) 1))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 b b) (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2))) (neg.f64 (pow.f64 b 6))) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2))))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (*.f64 (*.f64 b b) -1/2)) (pow.f64 b 6)) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)))
(fma.f64 -1/2 (+.f64 (/.f64 (-.f64 (*.f64 -1/2 (-.f64 (*.f64 (pow.f64 b 6) 1/4) (pow.f64 b 6))) (pow.f64 b 6)) (pow.f64 a 6)) (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4))) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2)))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4)) 1))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 b b) (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2))) (neg.f64 (pow.f64 b 6))) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2))))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (*.f64 (*.f64 b b) -1/2)) (pow.f64 b 6)) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)))
(fma.f64 -1/2 (+.f64 (/.f64 (-.f64 (*.f64 -1/2 (-.f64 (*.f64 (pow.f64 b 6) 1/4) (pow.f64 b 6))) (pow.f64 b 6)) (pow.f64 a 6)) (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4))) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 31 to 18 computations (41.9% saved)

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite67.0ms (1.1%)

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
01022
121822
2252322
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
Outputs
((#(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 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))))) (#(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 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))))))
((#(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 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (/.f64 1 (+.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 (*.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 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4))) (-.f64 1 (pow.f64 (/.f64 b a) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2)) (-.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 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (+.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (neg.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(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))))))))

simplify70.0ms (1.2%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
068997
1199948
2661914
34319896
45950869
Stop Event
1×node limit
Counts
101 → 80
Calls
Call 1
Inputs
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))))))
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))))
Outputs
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 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1)
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 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 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (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 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.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 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (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 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (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 (sqrt.f64 -1) a) b)
(*.f64 b (/.f64 (sqrt.f64 -1) a))
(*.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 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(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 (/.f64 a (sqrt.f64 -1)) b) (/.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 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (*.f64 (pow.f64 b 3) (sqrt.f64 -1)) -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (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 (/.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))))
(+.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 (/.f64 a (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 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
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(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 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)))))
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(*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b))
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(-.f64 (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
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(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 (/.f64 a (sqrt.f64 -1)) b))))
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(*.f64 (/.f64 b a) (sqrt.f64 -1))
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(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(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))))))
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(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (*.f64 (pow.f64 b 3) (sqrt.f64 -1)) -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (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 (/.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))))
(+.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 (/.f64 a (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 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (*.f64 (pow.f64 b 3) (sqrt.f64 -1)) -1)) (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (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 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 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)))))
(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 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1)
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 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 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (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 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.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 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (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 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (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 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1)
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 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 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1))
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (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 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.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 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (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 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)))
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)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a)))
(/.f64 (neg.f64 (/.f64 b (/.f64 a b))) a)
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(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
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(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
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(-.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)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a)))
(/.f64 (neg.f64 (/.f64 b (/.f64 a b))) a)
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(-.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)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a)))
(/.f64 (neg.f64 (/.f64 b (/.f64 a 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)))

eval339.0ms (5.7%)

Compiler

Compiled 7053 to 5153 computations (26.9% saved)

prune140.0ms (2.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3865391
Fresh000
Picked101
Done303
Total3905395
Error
0b
Counts
395 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.9b
1
▶0.0b
(pow.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) 1/2)
▶0.0b
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))))))
▶0.0b
(/.f64 1 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))
▶0.6b
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
Compiler

Compiled 57 to 42 computations (26.3% saved)

localize80.0ms (1.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b)))))
✓0.0b
(/.f64 1 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))))
✓0.0b
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))))))
✓0.2b
(/.f64 (/.f64 b a) (/.f64 a b))
Compiler

Compiled 64 to 24 computations (62.5% saved)

series62.0ms (1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
46.0ms
b
@0
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))))))
1.0ms
b
@0
(/.f64 (/.f64 b a) (/.f64 a b))
1.0ms
b
@inf
(/.f64 (/.f64 b a) (/.f64 a b))
1.0ms
a
@0
(/.f64 (/.f64 b a) (/.f64 a b))
1.0ms
a
@inf
(/.f64 (/.f64 b a) (/.f64 a b))

rewrite187.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
627×log-prod_binary64
540×prod-diff_binary64
300×pow2_binary64
268×log-div_binary64
207×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01165
125045
2359845
Stop Event
1×node limit
Counts
4 → 158
Calls
Call 1
Inputs
(/.f64 (/.f64 b a) (/.f64 a b))
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))))))
(/.f64 1 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))))
(sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b)))))
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 b (*.f64 (/.f64 1 a) (/.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) (pow.f64 (/.f64 1 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 2)))))) (#(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)) 2) (*.f64 (cbrt.f64 (/.f64 b a)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 2)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (/.f64 (/.f64 b a) (sqrt.f64 (/.f64 a b))))))) (#(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 (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 (pow.f64 (sqrt.f64 (/.f64 b a)) 3) (sqrt.f64 (/.f64 b a)))))) (#(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 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) (/.f64 (sqrt.f64 (/.f64 b a)) (/.f64 a 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 (pow.f64 (cbrt.f64 b) 2) (/.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 b (pow.f64 (cbrt.f64 (/.f64 a b)) 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) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (sqrt.f64 (/.f64 b a)) (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (/.f64 (/.f64 1 a) (sqrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b a) 1) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b a) (neg.f64 a)) (neg.f64 b))))) (#(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 (*.f64 (/.f64 b (*.f64 a a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b (*.f64 a a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b (*.f64 a a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(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 (cbrt.f64 (/.f64 b a)) 2) 3)))) (#(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 (/.f64 a b) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 a b) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 b a) (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 2))))) (#(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 (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 2 (log.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 b a)) (hypot.f64 1 (/.f64 b a)) -1)))))
((#(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 (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 (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 (sqrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (/.f64 1 (cbrt.f64 (/.f64 1 (-.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 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) -1)))) (#(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 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3) 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 (sqrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 2)))) (#(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 (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) -1)))) (#(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 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3))))) (#(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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1))))))
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simplify211.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
833×associate-/r*_binary64
750×associate-*r*_binary64
743×fma-def_binary64
703×associate-*l*_binary64
648×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01772674
15562568
220552416
Stop Event
1×node limit
Counts
254 → 226
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 -1/2 (/.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))))))
1
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))))
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))))
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))))
1
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))
1
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 b 4)))))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 a 6)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 a 2)))) (pow.f64 b 6))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 b 4))))))
(/.f64 (*.f64 (sqrt.f64 -1) a) b)
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5)))))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2))) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 a 8)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 7))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5))))))))
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5))))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2))) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 a 8)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 7))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5))))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) a) b)))))
(/.f64 (*.f64 (sqrt.f64 -1) a) b)
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 b 2))))) (*.f64 (pow.f64 a 7) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.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 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.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 -1/2 (/.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)
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 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 (*.f64 -1/2 (*.f64 b b)) (*.f64 a a))))
(+.f64 1 (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 -1/2 a) (/.f64 (*.f64 b b) a))))
(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))
(+.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 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 -1/2 a) (/.f64 (*.f64 b b) a)))))
(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)))
(/.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 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (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 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (/.f64 (sqrt.f64 -1) (/.f64 a b))))
(fma.f64 (/.f64 (sqrt.f64 -1) a) b (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.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 (*.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)))))))
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(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 b 2))))) (*.f64 (pow.f64 a 7) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) a) b) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (/.f64 (sqrt.f64 -1) (*.f64 b (pow.f64 a 5)))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 (*.f64 b b) (pow.f64 (sqrt.f64 -1) 2))))) (/.f64 (sqrt.f64 -1) (*.f64 b (pow.f64 a 7)))) (+.f64 (/.f64 (sqrt.f64 -1) (/.f64 b a)) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (sqrt.f64 -1)) (*.f64 b (pow.f64 a 5))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 b b)))) (/.f64 (/.f64 (sqrt.f64 -1) b) (pow.f64 a 7))) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))) (*.f64 (/.f64 (sqrt.f64 -1) b) a))))
(fma.f64 -1/2 (fma.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (sqrt.f64 -1)) (*.f64 b (pow.f64 a 5)) (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (*.f64 b b)) (/.f64 1 (pow.f64 b 8))) (sqrt.f64 -1)) (*.f64 b (pow.f64 a 7)))) (fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 a b) (sqrt.f64 -1))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2)))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4)) 1))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 b b) (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2))) (neg.f64 (pow.f64 b 6))) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2))))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (*.f64 (*.f64 b b) -1/2)) (pow.f64 b 6)) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)))
(fma.f64 -1/2 (+.f64 (/.f64 (-.f64 (*.f64 -1/2 (-.f64 (*.f64 (pow.f64 b 6) 1/4) (pow.f64 b 6))) (pow.f64 b 6)) (pow.f64 a 6)) (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4))) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2)))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4)) 1))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)))) (*.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 4)) (pow.f64 (*.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 b b) (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2))) (neg.f64 (pow.f64 b 6))) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (*.f64 (*.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) 1/2))))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (*.f64 (*.f64 b b) -1/2)) (pow.f64 b 6)) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)))
(fma.f64 -1/2 (+.f64 (/.f64 (-.f64 (*.f64 -1/2 (-.f64 (*.f64 (pow.f64 b 6) 1/4) (pow.f64 b 6))) (pow.f64 b 6)) (pow.f64 a 6)) (/.f64 (*.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4))) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))

localize34.0ms (0.6%)

Local error

Found 4 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))
✓0.0b
(/.f64 1 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))
0.4b
(pow.f64 (/.f64 b a) 2)
Compiler

Compiled 42 to 26 computations (38.1% saved)

series22.0ms (0.4%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
7.0ms
b
@inf
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)
3.0ms
a
@0
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)
2.0ms
b
@0
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)
2.0ms
a
@inf
(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)

rewrite98.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
480×log-prod_binary64
363×exp-prod_binary64
281×pow2_binary64
264×pow-prod-down_binary64
199×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01126
124725
2297725
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)
Outputs
((#(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 (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 (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)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6) -2) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6))))) (#(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 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) -1)))) (#(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 (E.f64) (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(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 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1/2)))) (#(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 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6) -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 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (*.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (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 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6) (cbrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (-.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)) -1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6))))) (#(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 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 1 (-.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 (neg.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)) -1)))) (#(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 sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))))))) (#(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 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))))) (#(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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) -1/4) 2))))))

simplify91.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
643×fma-def_binary64
625×associate-*r*_binary64
625×associate-/l*_binary64
583×associate-/r*_binary64
543×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01662032
15151911
216911620
Stop Event
1×node limit
Counts
128 → 136
Calls
Call 1
Inputs
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))))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 3/8 (/.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 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 5/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b)))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 2))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b)))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 4))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b)))))) (+.f64 (*.f64 1/8 (pow.f64 a 6)) (+.f64 (*.f64 1/6 (pow.f64 a 6)) (*.f64 1/48 (pow.f64 a 6))))) (pow.f64 b 6)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b)))))) (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4)))) (pow.f64 b 4)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b)))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 2))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))) (pow.f64 b 2))) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b)))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))) (pow.f64 b 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))) (pow.f64 b 4)) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))) (pow.f64 b 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))) (pow.f64 b 4)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b)))))) (+.f64 (*.f64 1/8 (pow.f64 a 6)) (+.f64 (*.f64 1/6 (pow.f64 a 6)) (*.f64 1/48 (pow.f64 a 6))))) (pow.f64 b 6)) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b)))))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 2)) (pow.f64 b 2))) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 2)) (pow.f64 b 2))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (*.f64 3/8 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 4)) (pow.f64 b 4)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 2)) (pow.f64 b 2))) (+.f64 (*.f64 5/16 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 6)) (pow.f64 b 6))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (*.f64 3/8 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 4)) (pow.f64 b 4))))))
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 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))))))
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 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))))))
Outputs
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)
(+.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 -1/2 a) (/.f64 (*.f64 b b) a))))
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 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))))))
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1
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(+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/48 (/.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 b) (*.f64 a a)) (fma.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1/8)))))))
(+.f64 1 (+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1/8 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/4)))) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 3/16)))
(fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 3/16 (+.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 4) 3/8))) (+.f64 (/.f64 (pow.f64 b 6) (/.f64 (pow.f64 a 6) 1/8)) 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 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(+.f64 1 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 1/2 (*.f64 b b)) (*.f64 a a))))
(+.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 3/8))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 3/8 1))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))))))
(+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/48 (/.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 b) (*.f64 a a)) (fma.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1/8)))))))
(+.f64 1 (+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1/8 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/4)))) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 3/16)))
(fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 3/16 (+.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 4) 3/8))) (+.f64 (/.f64 (pow.f64 b 6) (/.f64 (pow.f64 a 6) 1/8)) 1)))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 36 to 12 computations (66.7% saved)

series6.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite82.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
437×log-prod_binary64
344×prod-exp_binary64
321×exp-prod_binary64
267×pow-prod-down_binary64
252×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
120229
2262329
Stop Event
1×node limit
Counts
3 → 163
Calls
Call 1
Inputs
(*.f64 (/.f64 b a) (/.f64 b a))
(pow.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) 1/2)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
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 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 (pow.f64 (/.f64 a b) 2))))) (#(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 (pow.f64 (neg.f64 b) 2) (pow.f64 (neg.f64 a) 2))))) (#(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)) (cbrt.f64 (*.f64 a a))) (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 (E.f64) (*.f64 2 (log.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 6)))) (#(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 pow.f64 (sqrt.f64 (/.f64 b a)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a b) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a b) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 2) (log.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a a) (*.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 b (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (/.f64 b a)))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 b a))))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 b 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 exp.f64 (*.f64 (log.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 b a) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 b a)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 b a)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 b a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 b a))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 b a)) 1) (log.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 b (/.f64 b a))) (*.f64 (log.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 b a)) 1) (log.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 b a)) (*.f64 (log.f64 (/.f64 b a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 b a)) 1) (*.f64 (log.f64 (/.f64 b a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 b a)) (hypot.f64 1 (/.f64 b a)) -1)))))
((#(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 (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 (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)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/4) (*.f64 1/4 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 1/4 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/4) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/4)))))))
((#(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 0 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(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 (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 (-.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 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(/.f64 b a) 2)) 5/6) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6))))) (#(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 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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 exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) (*.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)))) (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) (*.f64 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#<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 b) a) b) (/.f64 1 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 b) a) 1) (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) (cbrt.f64 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)) 1)))))

simplify88.0ms (1.5%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
0681237
11991188
26611154
343221136
459531109
Stop Event
1×node limit
Counts
235 → 192
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 -1/2 (/.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))))))
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))))
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 -1/2 (/.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 (sqrt.f64 -1) a) b)
(*.f64 b (/.f64 (sqrt.f64 -1) a))
(*.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 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(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 1/2 (/.f64 b a)) (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 (/.f64 a (sqrt.f64 -1)) b) (/.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 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (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 (/.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 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (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 (/.f64 a (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 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) (fma.f64 -1/8 (/.f64 (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (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 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 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)))))
(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 b (/.f64 (sqrt.f64 -1) a) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (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 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b)))
(-.f64 (/.f64 (/.f64 (*.f64 a -1/2) (sqrt.f64 -1)) b) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (/.f64 (/.f64 -1/2 (/.f64 b a)) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (*.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 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)) (pow.f64 b 3)) 1/8)) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.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 (/.f64 a b) (sqrt.f64 -1)) (-.f64 (*.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 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b)))))
(-.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)) (pow.f64 b 3)) 1/8 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 -1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5))))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (fma.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))))) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(-.f64 (fma.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1)))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (*.f64 (/.f64 b a) (sqrt.f64 -1))))
(-.f64 (fma.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1)))) (fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (sqrt.f64 -1)))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(/.f64 (sqrt.f64 -1) (/.f64 a b))
(*.f64 (/.f64 (sqrt.f64 -1) a) b)
(*.f64 b (/.f64 (sqrt.f64 -1) a))
(*.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 (/.f64 a (sqrt.f64 -1)) b) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(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 1/2 (/.f64 b a)) (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 (/.f64 a (sqrt.f64 -1)) b) (/.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 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (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 (/.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 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 b (/.f64 (sqrt.f64 -1) a) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (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 (/.f64 a (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 (*.f64 -1/8 (pow.f64 a 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) a) b)) (fma.f64 -1/8 (/.f64 (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (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 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 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)))))
(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 b (/.f64 (sqrt.f64 -1) a) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (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)))
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)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 (neg.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)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 (neg.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)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a))
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 (neg.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)))

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 b (/.f64 a b))
Compiler

Compiled 27 to 12 computations (55.6% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite51.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
637×pow1_binary64
592×add-log-exp_binary64
592×log1p-expm1-u_binary64
592×expm1-log1p-u_binary64
578×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11107
216057
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 b (/.f64 a b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 2) (cbrt.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) (sqrt.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (cbrt.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 b) (sqrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (/.f64 b a))))))))

simplify119.0ms (2%)

Algorithm
1×egg-herbie
Rules
759×sqr-pow_binary64
434×unswap-sqr_binary64
423×*-commutative_binary64
423×associate-*r/_binary64
393×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
111168
220168
337168
483168
5266168
61091168
73478168
84280168
94465168
104681168
115028168
125456168
135935168
146584168
157273168
Stop Event
1×node limit
Counts
62 → 39
Calls
Call 1
Inputs
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
Outputs
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))

eval465.0ms (7.8%)

Compiler

Compiled 12836 to 9110 computations (29% saved)

prune100.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New6761677
Fresh011
Picked011
Done213
Total6784682
Error
0b
Counts
682 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.9b
1
✓0.0b
(pow.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) 1/2)
▶0.0b
(/.f64 1 (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) -1/2))
✓0.6b
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
Compiler

Compiled 43 to 30 computations (30.2% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b)))
✓0.0b
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) -1/2)
✓0.0b
(/.f64 1 (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) -1/2))
0.2b
(/.f64 (/.f64 b a) (/.f64 a b))
Compiler

Compiled 52 to 19 computations (63.5% saved)

series8.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite84.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
609×log-prod_binary64
540×prod-diff_binary64
305×pow2_binary64
234×log-div_binary64
209×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01145
125535
2352035
Stop Event
1×node limit
Counts
3 → 117
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) -1/2))
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) -1/2)
(-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1)) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))))) (#(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) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.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 (pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1/2) (pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1/2))))) (#(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 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1)) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)) -1)))) (#(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 sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))))) (#(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))))))
((#(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 0 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(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 (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 (-.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 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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 exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b a) (/.f64 (neg.f64 b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 2) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 2)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 b (*.f64 a a))) b 1)))))

simplify90.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
646×fma-def_binary64
633×associate-/l*_binary64
629×associate-*r*_binary64
588×associate-/r*_binary64
544×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01682341
15212184
217081893
Stop Event
1×node limit
Counts
189 → 177
Calls
Call 1
Inputs
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))))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (*.f64 3/8 (/.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 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 5/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b)))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 2))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b)))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 4))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b)))))) (+.f64 (*.f64 1/8 (pow.f64 a 6)) (+.f64 (*.f64 1/6 (pow.f64 a 6)) (*.f64 1/48 (pow.f64 a 6))))) (pow.f64 b 6)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b)))))) (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4)))) (pow.f64 b 4)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b)))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 2))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))) (pow.f64 b 2))) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b)))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))) (pow.f64 b 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))) (pow.f64 b 4)) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))) (pow.f64 b 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))) (pow.f64 b 4)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b)))))) (+.f64 (*.f64 1/8 (pow.f64 a 6)) (+.f64 (*.f64 1/6 (pow.f64 a 6)) (*.f64 1/48 (pow.f64 a 6))))) (pow.f64 b 6)) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (/.f64 1 (pow.f64 a 2)))) (*.f64 -2 (log.f64 (/.f64 -1 b)))))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 2)) (pow.f64 b 2))) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 2)) (pow.f64 b 2))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (*.f64 3/8 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 4)) (pow.f64 b 4)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 2)) (pow.f64 b 2))) (+.f64 (*.f64 5/16 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 6)) (pow.f64 b 6))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (*.f64 3/8 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 4)) (pow.f64 b 4))))))
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 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))))))
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 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))))))
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))))
Outputs
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)
(+.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 -1/2 a) (/.f64 (*.f64 b b) a))))
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 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 -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 -1/2 a) (/.f64 (*.f64 b b) a)))))
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(/.f64 (sqrt.f64 -1) (/.f64 a b))
(/.f64 b (/.f64 a (sqrt.f64 -1)))
(*.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 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 b (/.f64 a (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (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 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (/.f64 b (/.f64 a (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.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 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 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 b (/.f64 a (sqrt.f64 -1)))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 (/.f64 -1/8 (*.f64 -1 (sqrt.f64 -1))) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 (/.f64 a 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 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.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)))
(neg.f64 (/.f64 b (/.f64 a (sqrt.f64 -1))))
(*.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))))
(fma.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (neg.f64 (/.f64 b (/.f64 a (sqrt.f64 -1)))))
(-.f64 (/.f64 -1/2 (*.f64 (/.f64 b a) (sqrt.f64 -1))) (*.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 (/.f64 a (sqrt.f64 -1)) b) (*.f64 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) 1/8)) (/.f64 b (/.f64 a (sqrt.f64 -1))))
(-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 -1/2 (*.f64 (/.f64 b a) (sqrt.f64 -1)))) (*.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 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) 1/8 (fma.f64 -1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (*.f64 (/.f64 -1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5))))) (/.f64 b (/.f64 a (sqrt.f64 -1))))
(-.f64 (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 -1/2 (*.f64 (/.f64 b a) (sqrt.f64 -1))))) (*.f64 (/.f64 b a) (sqrt.f64 -1)))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(/.f64 (sqrt.f64 -1) (/.f64 a b))
(/.f64 b (/.f64 a (sqrt.f64 -1)))
(*.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 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 b (/.f64 a (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (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 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (fma.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (/.f64 b (/.f64 a (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.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 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 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a (sqrt.f64 -1)) b) (/.f64 b (/.f64 a (sqrt.f64 -1)))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 (/.f64 -1/8 (*.f64 -1 (sqrt.f64 -1))) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 (/.f64 a 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 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (*.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 -1/2 (/.f64 (*.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 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 -1/2 a) (/.f64 (*.f64 b b) a))))
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 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 -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 -1/2 a) (/.f64 (*.f64 b b) a)))))
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 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)
(+.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 -1/2 a) (/.f64 (*.f64 b b) a))))
(fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 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 -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 -1/2 a) (/.f64 (*.f64 b b) a)))))
(fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 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 3/8 (/.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 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 1/2 (*.f64 b b)) (*.f64 a a))))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 3/8 (*.f64 (/.f64 1/2 a) (/.f64 (*.f64 b b) a))))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 3/8 1))
(+.f64 1 (+.f64 (*.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 5/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))))
(+.f64 1 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 1/2 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 5/16))))
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(fma.f64 (/.f64 1/2 b) (/.f64 (*.f64 (pow.f64 (*.f64 b (neg.f64 b)) -1/2) (pow.f64 a 3)) b) (fma.f64 3/8 (/.f64 (pow.f64 (*.f64 b (neg.f64 b)) -1/2) (/.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) a)) (*.f64 a (pow.f64 (*.f64 b (neg.f64 b)) -1/2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 2)) (pow.f64 b 2))) (+.f64 (*.f64 5/16 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 6)) (pow.f64 b 6))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (*.f64 3/8 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (neg.f64 (pow.f64 b 2))) (*.f64 -2 (log.f64 a))))) (pow.f64 a 4)) (pow.f64 b 4))))))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (neg.f64 (*.f64 b b))) (*.f64 -2 (log.f64 a)))) (/.f64 (*.f64 b b) (*.f64 a a))) (fma.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (neg.f64 (*.f64 b b))) (*.f64 -2 (log.f64 a)))) (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (neg.f64 (*.f64 b b))) (*.f64 -2 (log.f64 a)))) (*.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (neg.f64 (*.f64 b b))) (*.f64 -2 (log.f64 a)))) (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))))
(fma.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (*.f64 b b) (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 a) (log.f64 (neg.f64 (*.f64 b b))))))) (fma.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 a) (log.f64 (neg.f64 (*.f64 b b))))) (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (fma.f64 3/8 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 a) (log.f64 (neg.f64 (*.f64 b b))))) (pow.f64 b 4)) (pow.f64 a 4)) (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 a) (log.f64 (neg.f64 (*.f64 b b))))))))
(fma.f64 5/16 (*.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6)) (*.f64 a (pow.f64 (*.f64 b (neg.f64 b)) -1/2))) (fma.f64 (/.f64 1/2 b) (/.f64 (*.f64 (pow.f64 (*.f64 b (neg.f64 b)) -1/2) (pow.f64 a 3)) b) (fma.f64 3/8 (/.f64 (pow.f64 (*.f64 b (neg.f64 b)) -1/2) (/.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) a)) (*.f64 a (pow.f64 (*.f64 b (neg.f64 b)) -1/2)))))
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 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(+.f64 1 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 1/2 (*.f64 b b)) (*.f64 a a))))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 3/8 (*.f64 (/.f64 1/2 a) (/.f64 (*.f64 b b) a))))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 3/8 1))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))))))
(+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/48 (/.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 b) (*.f64 a a)) (fma.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1/8)))))))
(+.f64 1 (+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1/8 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/4)))) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 3/16)))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 3/16 (+.f64 (*.f64 (/.f64 3/8 (pow.f64 a 4)) (pow.f64 b 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (/.f64 (pow.f64 b 6) (/.f64 (pow.f64 a 6) 1/8))))))
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 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(+.f64 1 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (*.f64 1/2 (*.f64 b b)) (*.f64 a a))))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 3/8 (*.f64 (/.f64 1/2 a) (/.f64 (*.f64 b b) a))))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 3/8 1))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))))))
(+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/48 (/.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 b) (*.f64 a a)) (fma.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1/8)))))))
(+.f64 1 (+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1/8 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/4)))) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 3/16)))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 3/16 (+.f64 (*.f64 (/.f64 3/8 (pow.f64 a 4)) (pow.f64 b 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 (/.f64 (pow.f64 b 6) (/.f64 (pow.f64 a 6) 1/8))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (/.f64 (neg.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 (/.f64 (neg.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 (/.f64 (neg.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)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a 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 (/.f64 (neg.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 (/.f64 (neg.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 (/.f64 (neg.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)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a 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 (/.f64 (neg.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 (/.f64 (neg.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 (/.f64 (neg.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)))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a 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 (/.f64 (neg.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 (/.f64 (neg.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 (/.f64 (neg.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 (/.f64 (neg.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 (/.f64 (neg.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 (/.f64 (neg.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 (/.f64 (neg.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 (/.f64 (neg.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 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))

eval112.0ms (1.9%)

Compiler

Compiled 5074 to 3681 computations (27.5% saved)

prune49.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2341235
Fresh101
Picked011
Done022
Total2354239
Error
0b
Counts
239 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(pow.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) 1/2)
✓0.0b
(/.f64 1 (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) -1/2))
✓0.6b
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
0.9b
1
Compiler

Compiled 43 to 30 computations (30.2% saved)

regimes69.0ms (1.2%)

Counts
11 → 1
Calls
Call 1
Inputs
1
1
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
(pow.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) 1/2)
(/.f64 1 (pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) -1/2))
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))))))
(sqrt.f64 (fabs.f64 1))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(/.f64 1 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Outputs
(pow.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) 1/2)
Calls

12 calls:

9.0ms
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
9.0ms
a
8.0ms
b
8.0ms
(*.f64 a a)
5.0ms
(*.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 210 to 120 computations (42.9% saved)

regimes9.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
1
1
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
Outputs
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
Calls

2 calls:

4.0ms
a
4.0ms
b
Results
ErrorSegmentsBranch
0.6b1a
0.6b1b
Compiler

Compiled 20 to 14 computations (30% saved)

regimes16.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
1
1
Outputs
1
Calls

2 calls:

12.0ms
b
3.0ms
a
Results
ErrorSegmentsBranch
0.9b1a
0.9b1b
Compiler

Compiled 10 to 8 computations (20% saved)

simplify5.0ms (0.1%)

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
01431
12131
23031
33631
44031
54131
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(pow.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) 1/2)
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
1
Outputs
(pow.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) 1/2)
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
1
Compiler

Compiled 28 to 19 computations (32.1% saved)

soundness92.0ms (1.5%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
068997
1199948
2661914
34319896
45950869
Stop Event
1×node limit
Compiler

Compiled 69 to 51 computations (26.1% saved)

end29.0ms (0.5%)

Compiler

Compiled 24 to 15 computations (37.5% saved)

Profiling

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