Details

Time bar (total: 3.5s)

analyze17.0ms (0.5%)

Algorithm
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)

sample1.2s (36%)

Results
1.1s8256×body256valid
127.0ms807×body256invalid

preprocess56.0ms (1.6%)

Algorithm
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
saturated
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)

simplify53.0ms (1.5%)

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

eval1.0ms (0%)

Compiler

Compiled 25 to 13 computations (48% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
14.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
14.3b
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
14.3b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
Compiler

Compiled 27 to 16 computations (40.7% saved)

localize12.0ms (0.4%)

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))))
13.8b
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
Compiler

Compiled 53 to 8 computations (84.9% saved)

series9.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

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

rewrite101.0ms (2.9%)

Algorithm
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
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 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simplify74.0ms (2.2%)

Algorithm
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
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)))

localize15.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
14.4b
(/.f64 b (*.f64 a a))
Compiler

Compiled 40 to 14 computations (65% saved)

series7.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite62.0ms (1.8%)

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

Useful iterations: 1 (0.0ms)

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

simplify84.0ms (2.4%)

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

Useful iterations: 0 (0.0ms)

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

eval124.0ms (3.6%)

Compiler

Compiled 8086 to 3369 computations (58.3% saved)

prune53.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3703373
Fresh000
Picked101
Done011
Total3714375
Error
0b
Counts
375 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
14.3b
(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)
1.6b
(sqrt.f64 (fabs.f64 1))
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)

localize6.0ms (0.2%)

Compiler

Compiled 8 to 8 computations (0% saved)

localize17.0ms (0.5%)

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)

series19.0ms (0.6%)

Counts
4 → 96
Calls

24 calls:

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

rewrite86.0ms (2.5%)

Algorithm
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
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> (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 (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 (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 (/.f64 1 (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 (-.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 (-.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 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (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))))))
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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 (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 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(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))))))

simplify79.0ms (2.3%)

Algorithm
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
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))
(/.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))))))
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(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))

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
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
1 → 24
Calls

6 calls:

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

rewrite56.0ms (1.6%)

Algorithm
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
01012
121812
2252312
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
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)))))))))

simplify64.0ms (1.9%)

Algorithm
egg-herbie
Rules
829×times-frac_binary64
600×cancel-sign-sub-inv_binary64
501×fma-neg_binary64
411×distribute-neg-frac_binary64
324×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
066688
1192675
2641641
34262623
45850596
Stop Event
node limit
Counts
43 → 42
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))))))
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)
(+.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 1/2 (/.f64 a b)) (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 -1 (*.f64 (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 (/.f64 (sqrt.f64 -1) a) b (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1))))
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (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 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (/.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 b (/.f64 (sqrt.f64 -1) a) (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.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 (sqrt.f64 -1)) (/.f64 a b))
(*.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 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 a b) (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 1/8 (pow.f64 b 3)) (/.f64 (pow.f64 a 3) (*.f64 -1 (sqrt.f64 -1))))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)))) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(-.f64 (*.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 (*.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 -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 (pow.f64 a 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) 1/8 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 -1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (fma.f64 -1/16 (/.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 a b) (sqrt.f64 -1))))) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3))) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (/.f64 b a) (sqrt.f64 -1))))
(-.f64 (*.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (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 a b)) (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 -1 (*.f64 (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 (/.f64 (sqrt.f64 -1) a) b (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (sqrt.f64 -1))))
(fma.f64 b (/.f64 (sqrt.f64 -1) a) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 (/.f64 a b) 3) (/.f64 (*.f64 1/2 (/.f64 a b)) (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 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (*.f64 1/16 (/.f64 (pow.f64 a 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (/.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 b (/.f64 (sqrt.f64 -1) a) (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)) (*.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 -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 (*.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)
(+.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)))

eval155.0ms (4.5%)

Compiler

Compiled 6401 to 4707 computations (26.5% saved)

prune49.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3494353
Fresh000
Picked101
Done303
Total3534357
Error
0b
Counts
357 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
1.6b
1
0.0b
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
0.0b
(pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1/2)
Compiler

Compiled 41 to 31 computations (24.4% saved)

localize15.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 39 to 13 computations (66.7% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite64.0ms (1.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
122619
2306619
Stop Event
node limit
Counts
2 → 82
Calls
Call 1
Inputs
(/.f64 (/.f64 b a) (/.f64 a b))
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (pow.f64 (*.f64 a a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (pow.f64 (cbrt.f64 (/.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (/.f64 (/.f64 b a) (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 4) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (/.f64 a b) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (sqrt.f64 (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 b) a) (/.f64 1 (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (/.f64 b a) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 a a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (/.f64 a b)) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (/.f64 a b)) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) a) (/.f64 (cbrt.f64 (/.f64 b a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 b a)) a) (/.f64 (sqrt.f64 (/.f64 b a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 (/.f64 1 a) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1) (/.f64 (cbrt.f64 (/.f64 b a)) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 b a)) 1) (pow.f64 (/.f64 b a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (/.f64 (/.f64 1 a) (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 b a)) (cbrt.f64 (pow.f64 (/.f64 b a) -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 (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) (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)) (cbrt.f64 (*.f64 b b))) (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 (/.f64 a b) -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 (/.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 (pow.f64 (cbrt.f64 (/.f64 b a)) 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 (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 (pow.f64 (/.f64 b a) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 b a) -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 (/.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 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 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (hypot.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (hypot.f64 1 (hypot.f64 (/.f64 b a) (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1))))))

simplify67.0ms (1.9%)

Algorithm
egg-herbie
Rules
829×times-frac_binary64
600×cancel-sign-sub-inv_binary64
501×fma-neg_binary64
413×distribute-neg-frac_binary64
323×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
066928
1192915
2641881
34258863
45846836
Stop Event
node limit
Counts
130 → 106
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))))))
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))
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1
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1
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1
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(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)))

localize19.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 42 to 26 computations (38.1% saved)

series12.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
b
@inf
(pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1/2)
3.0ms
a
@0
(pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1/2)
1.0ms
b
@0
(pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1/2)
1.0ms
a
@inf
(pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1/2)
1.0ms
b
@-inf
(pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1/2)

rewrite63.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
479×log-prod_binary64
371×exp-prod_binary64
280×pow2_binary64
259×pow-prod-down_binary64
199×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01116
124412
2295012
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (-.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 (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 *.f64 (pow.f64 (/.f64 1 (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 (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 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(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 (*.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 (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 (*.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 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) -1/4) 2))))))

simplify49.0ms (1.4%)

Algorithm
egg-herbie
Rules
645×fma-def_binary64
605×associate-*r*_binary64
576×associate-*l*_binary64
497×times-frac_binary64
343×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01401470
14381405
215211088
Stop Event
node limit
Counts
57 → 65
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))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2))))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 -1/48 (+.f64 (*.f64 -12 (pow.f64 a 4)) (*.f64 24 (pow.f64 a 4)))))) (pow.f64 b 4)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 -1/48 (+.f64 (*.f64 -12 (pow.f64 a 4)) (*.f64 24 (pow.f64 a 4))))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2))))))) (pow.f64 b 4)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (+.f64 (*.f64 -1/48 (pow.f64 a 6)) (+.f64 (*.f64 -1/1440 (+.f64 (*.f64 720 (pow.f64 a 6)) (+.f64 (*.f64 -720 (pow.f64 a 6)) (*.f64 240 (pow.f64 a 6))))) (*.f64 1/96 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -12 (pow.f64 a 4)) (*.f64 24 (pow.f64 a 4)))))))) (pow.f64 b 6)) (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (pow.f64 a 2)) (pow.f64 b 2))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2))))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 -1/48 (+.f64 (*.f64 -12 (pow.f64 a 4)) (*.f64 24 (pow.f64 a 4)))))) (pow.f64 b 4)) (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (+.f64 (*.f64 -1/48 (pow.f64 a 6)) (+.f64 (*.f64 -1/1440 (+.f64 (*.f64 720 (pow.f64 a 6)) (+.f64 (*.f64 -720 (pow.f64 a 6)) (*.f64 240 (pow.f64 a 6))))) (*.f64 1/96 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -12 (pow.f64 a 4)) (*.f64 24 (pow.f64 a 4)))))))) (pow.f64 b 6)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 -1/48 (+.f64 (*.f64 -12 (pow.f64 a 4)) (*.f64 24 (pow.f64 a 4))))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2))))))) (pow.f64 b 4)) (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (pow.f64 a 2)) (pow.f64 b 2))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 2))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2)))))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 4) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 2))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 a 6) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 6))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 4) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 2))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 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 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(+.f64 (*.f64 -1/1440 (/.f64 (+.f64 (*.f64 720 (pow.f64 b 6)) (+.f64 (*.f64 240 (pow.f64 b 6)) (*.f64 -720 (pow.f64 b 6)))) (pow.f64 a 6))) (+.f64 1 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/96 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (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 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(+.f64 (*.f64 -1/1440 (/.f64 (+.f64 (*.f64 720 (pow.f64 b 6)) (+.f64 (*.f64 240 (pow.f64 b 6)) (*.f64 -720 (pow.f64 b 6)))) (pow.f64 a 6))) (+.f64 1 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/96 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 a 4))) (*.f64 -1/2 (/.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)))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2))))))
(pow.f64 (exp.f64 -1/2) (fma.f64 2 (neg.f64 (log.f64 b)) (log.f64 (neg.f64 (*.f64 a a)))))
(pow.f64 (exp.f64 -1/2) (fma.f64 2 (neg.f64 (log.f64 b)) (log.f64 (*.f64 a (neg.f64 a)))))
(*.f64 (pow.f64 (*.f64 a (neg.f64 a)) -1/2) (exp.f64 (log.f64 b)))
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(fma.f64 -1/2 (*.f64 (*.f64 (pow.f64 (*.f64 a (neg.f64 a)) -1/2) (exp.f64 (log.f64 b))) (*.f64 (/.f64 a b) (/.f64 a b))) (*.f64 (+.f64 (/.f64 (*.f64 -1/8 (pow.f64 a 4)) (pow.f64 b 4)) 1) (*.f64 (pow.f64 (*.f64 a (neg.f64 a)) -1/2) (exp.f64 (log.f64 b)))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 a 6) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 6))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 4) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 2))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2)))))))))
(fma.f64 -1/16 (/.f64 (pow.f64 a 6) (/.f64 (pow.f64 b 6) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (log.f64 a) (log.f64 (/.f64 -1 (*.f64 b b))))))) (fma.f64 -1/8 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b 4) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (log.f64 a) (log.f64 (/.f64 -1 (*.f64 b b))))))) (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 (/.f64 -1 (*.f64 b b))))))) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (log.f64 a) (log.f64 (/.f64 -1 (*.f64 b b))))))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6)) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (log.f64 a) (log.f64 (/.f64 -1 (*.f64 b b)))))) (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (log.f64 a) (log.f64 (/.f64 -1 (*.f64 b b)))))) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (log.f64 a) (log.f64 (/.f64 -1 (*.f64 b b)))))) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (log.f64 a) (log.f64 (/.f64 -1 (*.f64 b b))))))))
(fma.f64 -1/16 (*.f64 (*.f64 (pow.f64 (*.f64 a (neg.f64 a)) -1/2) (exp.f64 (log.f64 b))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (fma.f64 -1/2 (*.f64 (*.f64 (pow.f64 (*.f64 a (neg.f64 a)) -1/2) (exp.f64 (log.f64 b))) (*.f64 (/.f64 a b) (/.f64 a b))) (*.f64 (+.f64 (/.f64 (*.f64 -1/8 (pow.f64 a 4)) (pow.f64 b 4)) 1) (*.f64 (pow.f64 (*.f64 a (neg.f64 a)) -1/2) (exp.f64 (log.f64 b))))))
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 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (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)) (fma.f64 -1/48 (/.f64 (*.f64 (pow.f64 b 4) 12) (pow.f64 a 4)) (*.f64 -1/2 (/.f64 (*.f64 b b) (*.f64 a a))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (*.f64 -1/48 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 4) 12)))) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (/.f64 (*.f64 (pow.f64 b 4) -1/4) (pow.f64 a 4))))
(+.f64 (*.f64 -1/1440 (/.f64 (+.f64 (*.f64 720 (pow.f64 b 6)) (+.f64 (*.f64 240 (pow.f64 b 6)) (*.f64 -720 (pow.f64 b 6)))) (pow.f64 a 6))) (+.f64 1 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/96 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))))))
(fma.f64 -1/1440 (/.f64 (fma.f64 720 (pow.f64 b 6) (*.f64 (pow.f64 b 6) -480)) (pow.f64 a 6)) (+.f64 1 (fma.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/96 (/.f64 (*.f64 (pow.f64 b 4) 12) (/.f64 (pow.f64 a 6) (*.f64 b b))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 -1/48 (/.f64 (*.f64 (pow.f64 b 4) 12) (pow.f64 a 4)) (*.f64 -1/2 (/.f64 (*.f64 b b) (*.f64 a a)))))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/48 (fma.f64 1/96 (*.f64 (/.f64 (*.f64 (pow.f64 b 4) 12) (pow.f64 a 6)) (*.f64 b b)) (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/48 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 4) 12))))))) (fma.f64 -1/1440 (/.f64 (*.f64 (pow.f64 b 6) 240) (pow.f64 a 6)) 1))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (/.f64 (*.f64 (pow.f64 b 4) -1/4) (pow.f64 a 4)))) (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 6) -1/6) (pow.f64 a 6)) (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/48 1)) (/.f64 (*.f64 (pow.f64 b 6) 1/8) (pow.f64 a 6))))
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 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (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)) (fma.f64 -1/48 (/.f64 (*.f64 (pow.f64 b 4) 12) (pow.f64 a 4)) (*.f64 -1/2 (/.f64 (*.f64 b b) (*.f64 a a))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (*.f64 -1/48 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 4) 12)))) (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) 1) (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (/.f64 (*.f64 (pow.f64 b 4) -1/4) (pow.f64 a 4))))
(+.f64 (*.f64 -1/1440 (/.f64 (+.f64 (*.f64 720 (pow.f64 b 6)) (+.f64 (*.f64 240 (pow.f64 b 6)) (*.f64 -720 (pow.f64 b 6)))) (pow.f64 a 6))) (+.f64 1 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/96 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))))))
(fma.f64 -1/1440 (/.f64 (fma.f64 720 (pow.f64 b 6) (*.f64 (pow.f64 b 6) -480)) (pow.f64 a 6)) (+.f64 1 (fma.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/96 (/.f64 (*.f64 (pow.f64 b 4) 12) (/.f64 (pow.f64 a 6) (*.f64 b b))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 -1/48 (/.f64 (*.f64 (pow.f64 b 4) 12) (pow.f64 a 4)) (*.f64 -1/2 (/.f64 (*.f64 b b) (*.f64 a a)))))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/48 (fma.f64 1/96 (*.f64 (/.f64 (*.f64 (pow.f64 b 4) 12) (pow.f64 a 6)) (*.f64 b b)) (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 -1/48 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 4) 12))))))) (fma.f64 -1/1440 (/.f64 (*.f64 (pow.f64 b 6) 240) (pow.f64 a 6)) 1))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (/.f64 (*.f64 (pow.f64 b 4) -1/4) (pow.f64 a 4)))) (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 6) -1/6) (pow.f64 a 6)) (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/48 1)) (/.f64 (*.f64 (pow.f64 b 6) 1/8) (pow.f64 a 6))))

localize11.0ms (0.3%)

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)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite49.0ms (1.4%)

Algorithm
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
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))))))))

simplify109.0ms (3.2%)

Algorithm
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
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))

eval128.0ms (3.7%)

Compiler

Compiled 5958 to 4066 computations (31.8% saved)

prune41.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3171318
Fresh011
Picked011
Done112
Total3184322
Error
0b
Counts
322 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
1.6b
1
0.0b
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
0.0b
(pow.f64 (/.f64 1 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b)))) -1/2)
Compiler

Compiled 43 to 31 computations (27.9% saved)

localize16.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 52 to 19 computations (63.5% saved)

series7.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite70.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
608×log-prod_binary64
540×prod-diff_binary64
304×pow2_binary64
237×log-div_binary64
208×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01135
125225
2349325
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(/.f64 1 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))))
(pow.f64 (/.f64 1 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b)))) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.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 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -2)) (/.f64 1 (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)) -1/2) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 3))) (+.f64 1 (pow.f64 (hypot.f64 (/.f64 b a) (pow.f64 (/.f64 b a) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 2))) (+.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)) (/.f64 1 (cbrt.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 (/.f64 1 (-.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)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)))) (#(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 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.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 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 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 (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 (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 *.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 (/.f64 1 (cbrt.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)) -1/2) -1/2) (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 2))) (hypot.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 3))) (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 (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))))))

simplify62.0ms (1.8%)

Algorithm
egg-herbie
Rules
726×fma-def_binary64
628×associate-*r*_binary64
597×times-frac_binary64
595×associate-*l*_binary64
394×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01612076
15021993
217261640
Stop Event
node limit
Counts
102 → 100
Calls
Call 1
Inputs
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 -1/8 (/.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))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2))))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 -1/48 (+.f64 (*.f64 -12 (pow.f64 a 4)) (*.f64 24 (pow.f64 a 4)))))) (pow.f64 b 4)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 -1/48 (+.f64 (*.f64 -12 (pow.f64 a 4)) (*.f64 24 (pow.f64 a 4))))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2))))))) (pow.f64 b 4)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (+.f64 (*.f64 -1/48 (pow.f64 a 6)) (+.f64 (*.f64 -1/1440 (+.f64 (*.f64 720 (pow.f64 a 6)) (+.f64 (*.f64 -720 (pow.f64 a 6)) (*.f64 240 (pow.f64 a 6))))) (*.f64 1/96 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -12 (pow.f64 a 4)) (*.f64 24 (pow.f64 a 4)))))))) (pow.f64 b 6)) (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (pow.f64 a 2)) (pow.f64 b 2))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2))))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 -1/48 (+.f64 (*.f64 -12 (pow.f64 a 4)) (*.f64 24 (pow.f64 a 4)))))) (pow.f64 b 4)) (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (+.f64 (*.f64 -1/48 (pow.f64 a 6)) (+.f64 (*.f64 -1/1440 (+.f64 (*.f64 720 (pow.f64 a 6)) (+.f64 (*.f64 -720 (pow.f64 a 6)) (*.f64 240 (pow.f64 a 6))))) (*.f64 1/96 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -12 (pow.f64 a 4)) (*.f64 24 (pow.f64 a 4)))))))) (pow.f64 b 6)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a 4)) (*.f64 -1/48 (+.f64 (*.f64 -12 (pow.f64 a 4)) (*.f64 24 (pow.f64 a 4))))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2))))))) (pow.f64 b 4)) (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 (pow.f64 a 2)))))) (pow.f64 a 2)) (pow.f64 b 2))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 2))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2)))))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 4) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 2))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 a 6) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 6))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 4) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 2))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 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 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(+.f64 (*.f64 -1/1440 (/.f64 (+.f64 (*.f64 720 (pow.f64 b 6)) (+.f64 (*.f64 240 (pow.f64 b 6)) (*.f64 -720 (pow.f64 b 6)))) (pow.f64 a 6))) (+.f64 1 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/96 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (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 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(+.f64 (*.f64 -1/1440 (/.f64 (+.f64 (*.f64 720 (pow.f64 b 6)) (+.f64 (*.f64 240 (pow.f64 b 6)) (*.f64 -720 (pow.f64 b 6)))) (pow.f64 a 6))) (+.f64 1 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/96 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))))))
Outputs
1
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(+.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 b a) 1)
(+.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 (*.f64 b b) (*.f64 a a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) 1) (/.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.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 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))
(+.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1))
(+.f64 1 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b))
(/.f64 (*.f64 a (neg.f64 a)) (*.f64 b b))
(*.f64 (/.f64 a b) (/.f64 (neg.f64 a) b))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(*.f64 -1 (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b))))
(neg.f64 (+.f64 (*.f64 (/.f64 a b) (/.f64 a b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
(neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.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)))))
(fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (fma.f64 -1 (/.f64 (*.f64 a a) (*.f64 b b)) (neg.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))
(-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 a b) (/.f64 a b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))) (/.f64 (pow.f64 a 6) (pow.f64 b 6)))
(-.f64 (/.f64 (neg.f64 (pow.f64 a 4)) (pow.f64 b 4)) (fma.f64 (/.f64 a b) (/.f64 a b) (/.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))))))
(fma.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8)) (fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (fma.f64 -1 (/.f64 (*.f64 a a) (*.f64 b b)) (neg.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))))
(-.f64 (-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 a b) (/.f64 a b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (/.f64 (pow.f64 a 8) (pow.f64 b 8)))
(-.f64 (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 6) (pow.f64 b 6)))) (+.f64 (/.f64 (pow.f64 a 8) (pow.f64 b 8)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b))
(/.f64 (*.f64 a (neg.f64 a)) (*.f64 b b))
(*.f64 (/.f64 a b) (/.f64 (neg.f64 a) b))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(*.f64 -1 (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b))))
(neg.f64 (+.f64 (*.f64 (/.f64 a b) (/.f64 a b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
(neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.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)))))
(fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (fma.f64 -1 (/.f64 (*.f64 a a) (*.f64 b b)) (neg.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))
(-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 a b) (/.f64 a b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))) (/.f64 (pow.f64 a 6) (pow.f64 b 6)))
(-.f64 (/.f64 (neg.f64 (pow.f64 a 4)) (pow.f64 b 4)) (fma.f64 (/.f64 a b) (/.f64 a b) (/.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))))))
(fma.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8)) (fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (fma.f64 -1 (/.f64 (*.f64 a a) (*.f64 b b)) (neg.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))))
(-.f64 (-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 a b) (/.f64 a b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (/.f64 (pow.f64 a 8) (pow.f64 b 8)))
(-.f64 (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 6) (pow.f64 b 6)))) (+.f64 (/.f64 (pow.f64 a 8) (pow.f64 b 8)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (neg.f64 (*.f64 a a)) (*.f64 b b))
(/.f64 (*.f64 a (neg.f64 a)) (*.f64 b b))
(*.f64 (/.f64 a b) (/.f64 (neg.f64 a) b))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(*.f64 -1 (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b))))
(neg.f64 (+.f64 (*.f64 (/.f64 a b) (/.f64 a b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
(neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.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)))))
(fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (fma.f64 -1 (/.f64 (*.f64 a a) (*.f64 b b)) (neg.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))
(-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 a b) (/.f64 a b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))) (/.f64 (pow.f64 a 6) (pow.f64 b 6)))
(-.f64 (/.f64 (neg.f64 (pow.f64 a 4)) (pow.f64 b 4)) (fma.f64 (/.f64 a b) (/.f64 a b) (/.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))))))
(fma.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8)) (fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (fma.f64 -1 (/.f64 (*.f64 a a) (*.f64 b b)) (neg.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))))
(-.f64 (-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 a b) (/.f64 a b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (/.f64 (pow.f64 a 8) (pow.f64 b 8)))
(-.f64 (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a 6) (pow.f64 b 6)))) (+.f64 (/.f64 (pow.f64 a 8) (pow.f64 b 8)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))
1
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))
(+.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 b a) 1)
(+.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 (*.f64 b b) (*.f64 a a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) 1) (/.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.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 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))
(+.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1))
(+.f64 1 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.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 b b) (*.f64 a a)))
(+.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 b a) 1)
(+.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 (*.f64 b b) (*.f64 a a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) 1) (/.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.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 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))
(+.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1))
(+.f64 1 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.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 (*.f64 b b) (*.f64 a a)) -1/2))
(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 (*.f64 b b) (*.f64 a a)) -1/2)))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) -1/8 (/.f64 (*.f64 (*.f64 -1/2 b) b) (*.f64 a a))))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) -1/8 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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(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 2 (neg.f64 (log.f64 b)) (log.f64 (*.f64 a (neg.f64 a))))) b)) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (neg.f64 (log.f64 b)) (log.f64 (*.f64 a (neg.f64 a)))))) (*.f64 (/.f64 (fma.f64 (pow.f64 a 4) 1/8 (*.f64 (pow.f64 a 4) -1/4)) (pow.f64 b 4)) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (neg.f64 (log.f64 b)) (log.f64 (*.f64 a (neg.f64 a)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (/.f64 a (/.f64 b a)) b) (*.f64 (pow.f64 a -1) (pow.f64 (/.f64 (/.f64 -1 b) b) -1/2))) (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 a 4) -1/8) (pow.f64 b 4)) 1) (*.f64 (pow.f64 a -1) (pow.f64 (/.f64 (/.f64 -1 b) b) -1/2))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 a 6) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 6))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 4) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2))))))) (pow.f64 b 2))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (log.f64 a)) (log.f64 (/.f64 -1 (pow.f64 b 2)))))))))
(fma.f64 -1/16 (/.f64 (pow.f64 a 6) (/.f64 (pow.f64 b 6) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (log.f64 a) (log.f64 (/.f64 -1 (*.f64 b b))))))) (fma.f64 -1/8 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b 4) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (log.f64 a) (log.f64 (/.f64 -1 (*.f64 b b))))))) (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 (/.f64 -1 (*.f64 b b))))))) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (log.f64 a) (log.f64 (/.f64 -1 (*.f64 b b))))))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6)) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (log.f64 a) (log.f64 (/.f64 -1 (*.f64 b b)))))) (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (log.f64 a) (log.f64 (/.f64 -1 (*.f64 b b)))))) (fma.f64 -1/2 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (log.f64 a) (log.f64 (/.f64 -1 (*.f64 b b)))))) (pow.f64 (exp.f64 -1/2) (fma.f64 2 (log.f64 a) (log.f64 (/.f64 -1 (*.f64 b b))))))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 6)) (*.f64 (pow.f64 a -1) (pow.f64 (/.f64 (/.f64 -1 b) b) -1/2))) (fma.f64 -1/2 (*.f64 (/.f64 (/.f64 a (/.f64 b a)) b) (*.f64 (pow.f64 a -1) (pow.f64 (/.f64 (/.f64 -1 b) b) -1/2))) (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 a 4) -1/8) (pow.f64 b 4)) 1) (*.f64 (pow.f64 a -1) (pow.f64 (/.f64 (/.f64 -1 b) b) -1/2)))))
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 1 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (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)) (fma.f64 -1/48 (/.f64 (*.f64 (pow.f64 b 4) 12) (pow.f64 a 4)) (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2))))
(+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (/.f64 -1/48 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 b 4) 12)))) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1))
(+.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (/.f64 (*.f64 (pow.f64 b 4) -1/4) (pow.f64 a 4))))
(+.f64 (*.f64 -1/1440 (/.f64 (+.f64 (*.f64 720 (pow.f64 b 6)) (+.f64 (*.f64 240 (pow.f64 b 6)) (*.f64 -720 (pow.f64 b 6)))) (pow.f64 a 6))) (+.f64 1 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/96 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))))))
(fma.f64 -1/1440 (/.f64 (fma.f64 720 (pow.f64 b 6) (*.f64 (pow.f64 b 6) -480)) (pow.f64 a 6)) (+.f64 1 (fma.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/96 (/.f64 (*.f64 (pow.f64 b 4) 12) (/.f64 (pow.f64 a 6) (*.f64 b b))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 -1/48 (/.f64 (*.f64 (pow.f64 b 4) 12) (pow.f64 a 4)) (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2)))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/48 (fma.f64 1/96 (*.f64 (/.f64 (*.f64 (pow.f64 b 4) 12) (pow.f64 a 6)) (*.f64 b b)) (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (/.f64 -1/48 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 b 4) 12))))))) (fma.f64 -1/1440 (/.f64 (*.f64 (pow.f64 b 6) 240) (pow.f64 a 6)) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 b 6) -1/6) (pow.f64 a 6)) (+.f64 (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/48 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (/.f64 (*.f64 (pow.f64 b 6) 1/8) (pow.f64 a 6)))) (+.f64 (/.f64 (*.f64 (pow.f64 b 4) -1/4) (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 1 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (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)) (fma.f64 -1/48 (/.f64 (*.f64 (pow.f64 b 4) 12) (pow.f64 a 4)) (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2))))
(+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (/.f64 -1/48 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 b 4) 12)))) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1))
(+.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1) (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (/.f64 (*.f64 (pow.f64 b 4) -1/4) (pow.f64 a 4))))
(+.f64 (*.f64 -1/1440 (/.f64 (+.f64 (*.f64 720 (pow.f64 b 6)) (+.f64 (*.f64 240 (pow.f64 b 6)) (*.f64 -720 (pow.f64 b 6)))) (pow.f64 a 6))) (+.f64 1 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (*.f64 1/96 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 6))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 -1/48 (/.f64 (+.f64 (*.f64 -12 (pow.f64 b 4)) (*.f64 24 (pow.f64 b 4))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))))))
(fma.f64 -1/1440 (/.f64 (fma.f64 720 (pow.f64 b 6) (*.f64 (pow.f64 b 6) -480)) (pow.f64 a 6)) (+.f64 1 (fma.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/96 (/.f64 (*.f64 (pow.f64 b 4) 12) (/.f64 (pow.f64 a 6) (*.f64 b b))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 -1/48 (/.f64 (*.f64 (pow.f64 b 4) 12) (pow.f64 a 4)) (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1/2)))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/48 (fma.f64 1/96 (*.f64 (/.f64 (*.f64 (pow.f64 b 4) 12) (pow.f64 a 6)) (*.f64 b b)) (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 (/.f64 -1/48 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 b 4) 12))))))) (fma.f64 -1/1440 (/.f64 (*.f64 (pow.f64 b 6) 240) (pow.f64 a 6)) 1))
(+.f64 (/.f64 (*.f64 (pow.f64 b 6) -1/6) (pow.f64 a 6)) (+.f64 (fma.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) -1/48 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1/8 (/.f64 (*.f64 (pow.f64 b 6) 1/8) (pow.f64 a 6)))) (+.f64 (/.f64 (*.f64 (pow.f64 b 4) -1/4) (pow.f64 a 4)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1/2 1))))

eval76.0ms (2.2%)

Compiler

Compiled 3685 to 2658 computations (27.9% saved)

prune29.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1610161
Fresh011
Picked011
Done022
Total1614165
Error
0b
Counts
165 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
1.6b
1
0.0b
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
0.0b
(pow.f64 (/.f64 1 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b)))) -1/2)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes57.0ms (1.6%)

Counts
10 → 1
Calls
Call 1
Inputs
1
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
(pow.f64 (/.f64 1 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b)))) -1/2)
(sqrt.f64 (fabs.f64 1))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(pow.f64 (/.f64 1 (-.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))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
Outputs
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
Calls

12 calls:

8.0ms
a
7.0ms
(*.f64 a a)
6.0ms
b
5.0ms
(*.f64 a a)
5.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Results
ErrorSegmentsBranch
0.0b1a
0.0b1b
0.0b1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
0.0b1(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
0.0b1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
0.0b1(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))
0.0b1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
0.0b1(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
0.0b1(*.f64 a a)
0.0b1(*.f64 a a)
0.0b1(*.f64 b b)
0.0b1(*.f64 b b)
Compiler

Compiled 205 to 116 computations (43.4% saved)

regimes8.0ms (0.2%)

Accuracy

Total -1.1b remaining (-232.6%)

Threshold costs -1.1b (-232.6%)

Counts
2 → 1
Calls
Call 1
Inputs
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
0.5b1a
0.5b1b
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
11831
22431
33031
43531
53831
63931
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 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 a b))) 1/2)
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
1
Compiler

Compiled 28 to 20 computations (28.6% saved)

soundness0.0ms (0%)

end27.0ms (0.8%)

Compiler

Compiled 24 to 15 computations (37.5% saved)

Profiling

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