bug366, discussion (missed optimization)

Time bar (total: 2.8s)

analyze48.0ms (1.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
30.8%25%56.2%0.1%0%18.7%0%5
32%25%53.1%0.1%0%21.9%0%6
55.8%37.5%29.7%0.1%0%32.8%0%7
57.8%37.5%27.3%0.1%0%35.1%0%8
74.2%43.7%15.2%0.1%0%41%0%9
75.9%43.7%13.9%0.1%0%42.3%0%10
85.9%46.8%7.7%0.1%0%45.4%0%11
87%46.8%7%0.1%0%46.1%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.0s (36.6%)

Results
945.0ms8256×body256valid
42.0ms654×body256invalid
Bogosity

preprocess140.0ms (5.1%)

Algorithm
egg-herbie
Rules
4458×fma-def
1962×associate--l+
1530×associate--l-
1000×distribute-lft-in
828×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01992
16192
214292
337492
497892
5183392
6301992
7389992
8469792
9516392
10526892
11531492
12648092
Stop Event
node limit
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))))
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a a)))
Symmetry

(abs a)

(abs b)

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify148.0ms (5.4%)

Algorithm
egg-herbie
Rules
2086×fma-def
1384×distribute-lft-out
996×distribute-lft-out--
982×unsub-neg
966×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11923
23123
36023
413823
538623
685023
7171923
8387523
9553823
10639723
11676623
12699623
13711023
14711023
Stop Event
node limit
Counts
1 → 3
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Outputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(sqrt.f64 (fma.f64 a a (*.f64 b (neg.f64 b))))

eval1.0ms (0%)

Compiler

Compiled 26 to 14 computations (46.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
53.1%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
53.1%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
Compiler

Compiled 20 to 12 computations (40% saved)

localize26.0ms (1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
53.1%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
Compiler

Compiled 26 to 7 computations (73.1% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite69.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1104×prod-diff
944×log-prod
744×pow-prod-down
576×fma-def
486×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
119323
2266923
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
Outputs
(+.f64 0 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 1)
(*.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(*.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6))
(*.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6) (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(pow.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 3/2)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) 2)
(pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/2)
(fabs.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))
(cbrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))

simplify54.0ms (1.9%)

Algorithm
egg-herbie
Rules
1660×fma-def
1424×associate-/l*
1296×associate-*l*
968×associate-/r*
706×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01972120
15701680
225321312
Stop Event
node limit
Counts
58 → 85
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (*.f64 (+.f64 b (*.f64 -1 b)) (pow.f64 a 3))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))))
a
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) a)
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) a)) a))
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2))) (pow.f64 a 2))) a)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))))
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))
a
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) a)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2) 1) (pow.f64 b 3))) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a)))
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 2)))) (*.f64 (sqrt.f64 -1) b))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 2)))))))
(+.f64 0 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 1)
(*.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(*.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6))
(*.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6) (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(pow.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 3/2)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) 2)
(pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/2)
(fabs.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))
(cbrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
Outputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) (/.f64 a b))))
(fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b))
(fma.f64 (sqrt.f64 -1) b 0)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 b) (*.f64 (sqrt.f64 -1) b))) 2)) (sqrt.f64 -1)) (/.f64 (*.f64 a a) b)) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (*.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) (/.f64 a b)))))
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(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2) 1))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1) 1))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6)) 3))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1/3))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 2))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1) 1/2))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))

eval31.0ms (1.1%)

Compiler

Compiled 1590 to 950 computations (40.3% saved)

prune13.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh000
Picked011
Done000
Total82486
Accurracy
100.0%
Counts
86 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
99.2%
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
53.1%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
98.4%
a
99.1%
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
99.2%
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
53.1%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
98.4%
a
Compiler

Compiled 68 to 42 computations (38.2% saved)

localize45.0ms (1.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 b (/.f64 a b))
100.0%
(sqrt.f64 (-.f64 a b))
100.0%
(sqrt.f64 (+.f64 a b))
99.2%
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
Compiler

Compiled 47 to 13 computations (72.3% saved)

series8.0ms (0.3%)

Counts
4 → 64
Calls

24 calls:

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

rewrite85.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1388×log-prod
1140×prod-diff
644×pow-exp
636×fma-def
466×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01258
126458
2379658
Stop Event
node limit
Counts
4 → 146
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(sqrt.f64 (+.f64 a b))
(sqrt.f64 (-.f64 a b))
(/.f64 b (/.f64 a b))
Outputs
(+.f64 0 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 3)
(pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 2)
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) 3/2) (pow.f64 (+.f64 a b) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a b) 3/2) (pow.f64 (-.f64 a b) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 3))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(+.f64 0 (sqrt.f64 (+.f64 a b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a b)))) 1)
(*.f64 (sqrt.f64 (+.f64 a b)) 1)
(*.f64 1 (sqrt.f64 (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 a b)) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (cbrt.f64 (+.f64 a b)))
(*.f64 (pow.f64 (+.f64 a b) 1/4) (pow.f64 (+.f64 a b) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a b))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a b)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (sqrt.f64 (-.f64 a b)))
(/.f64 (hypot.f64 (pow.f64 b 3/2) (pow.f64 a 3/2)) (hypot.f64 a (sqrt.f64 (*.f64 b (-.f64 b a)))))
(pow.f64 (+.f64 a b) 1/2)
(pow.f64 (sqrt.f64 (+.f64 a b)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) 3)
(pow.f64 (pow.f64 (+.f64 a b) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 a b) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a b)))))
(cbrt.f64 (pow.f64 (+.f64 a b) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 a b)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 a b)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 a b))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 a b))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))
(+.f64 0 (sqrt.f64 (-.f64 a b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 a b)))) 1)
(*.f64 (sqrt.f64 (-.f64 a b)) 1)
(*.f64 1 (sqrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) (cbrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (-.f64 a b) 1/4) (pow.f64 (-.f64 a b) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 a b)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (sqrt.f64 (+.f64 a b)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3))) (hypot.f64 a (hypot.f64 b (sqrt.f64 (*.f64 a b)))))
(pow.f64 (-.f64 a b) 1/2)
(pow.f64 (sqrt.f64 (-.f64 a b)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) 3)
(pow.f64 (pow.f64 (-.f64 a b) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 a b) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 a b)))))
(cbrt.f64 (pow.f64 (-.f64 a b) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 b)))
(hypot.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 a))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 a b)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 a b)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 a b))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 a b))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 a b))))
(+.f64 0 (*.f64 b (/.f64 b a)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a))) (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (/.f64 b a)))) 1)
(*.f64 b (/.f64 b a))
(*.f64 (*.f64 b (/.f64 b a)) 1)
(*.f64 1 (*.f64 b (/.f64 b a)))
(*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 b a)))
(*.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 2) (cbrt.f64 (*.f64 b (/.f64 b a))))
(*.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 b a)))
(*.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) (sqrt.f64 (*.f64 b (/.f64 b a))))
(*.f64 (neg.f64 b) (/.f64 1 (/.f64 (neg.f64 a) b)))
(*.f64 (/.f64 b a) b)
(*.f64 (/.f64 1 a) (/.f64 b (/.f64 1 b)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) (/.f64 1 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (/.f64 a b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (cbrt.f64 (*.f64 b (/.f64 b a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 b) (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) (/.f64 1 b)))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (/.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 b 1) (/.f64 b a))
(*.f64 (*.f64 (/.f64 b a) 1) b)
(*.f64 (*.f64 (/.f64 b a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(*.f64 (*.f64 (/.f64 b a) (sqrt.f64 b)) (sqrt.f64 b))
(*.f64 (/.f64 b (neg.f64 a)) (neg.f64 b))
(pow.f64 (*.f64 b (/.f64 b a)) 1)
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 3)
(pow.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) 2)
(pow.f64 (/.f64 a (*.f64 b b)) -1)
(pow.f64 (/.f64 (/.f64 a (*.f64 b b)) 1) -1)
(neg.f64 (/.f64 b (/.f64 (neg.f64 a) b)))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2))
(log.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 b a)))))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (/.f64 a b) 3)))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 b a))))
(exp.f64 (log.f64 (*.f64 b (/.f64 b a))))
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 b a))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 b (/.f64 b a))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 b (/.f64 b a)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 b (/.f64 b a)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b b))) -1))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 b a))))

simplify96.0ms (3.5%)

Algorithm
egg-herbie
Rules
1062×unswap-sqr
598×log-prod
488×fma-def
446×times-frac
430×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05225498
112724906
249354450
Stop Event
node limit
Counts
210 → 249
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (*.f64 (+.f64 b (*.f64 -1 b)) (pow.f64 a 3))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))))
a
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) a)
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) a)) a))
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a
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(*.f64 -1 (*.f64 (sqrt.f64 -1) b))
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(sqrt.f64 b)
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(sqrt.f64 a)
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(/.f64 (pow.f64 b 2) a)
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 1)
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(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 2)
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) 3/2) (pow.f64 (+.f64 a b) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a b) 3/2) (pow.f64 (-.f64 a b) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 1))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 3))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a b)))) 1)
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a b))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a b)))
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(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (sqrt.f64 (-.f64 a b)))
(/.f64 (hypot.f64 (pow.f64 b 3/2) (pow.f64 a 3/2)) (hypot.f64 a (sqrt.f64 (*.f64 b (-.f64 b a)))))
(pow.f64 (+.f64 a b) 1/2)
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(fabs.f64 (sqrt.f64 (+.f64 a b)))
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(cbrt.f64 (pow.f64 (+.f64 a b) 3/2))
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(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a b))))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1))
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(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 a b)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 a b))) 1/3))
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(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))
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(*.f64 (*.f64 (/.f64 b a) (sqrt.f64 b)) (sqrt.f64 b))
(*.f64 (/.f64 b (neg.f64 a)) (neg.f64 b))
(pow.f64 (*.f64 b (/.f64 b a)) 1)
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 3)
(pow.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) 2)
(pow.f64 (/.f64 a (*.f64 b b)) -1)
(pow.f64 (/.f64 (/.f64 a (*.f64 b b)) 1) -1)
(neg.f64 (/.f64 b (/.f64 (neg.f64 a) b)))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2))
(log.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 b a)))))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (/.f64 a b) 3)))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 b a))))
(exp.f64 (log.f64 (*.f64 b (/.f64 b a))))
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 b a))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 b (/.f64 b a))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 b (/.f64 b a)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 b (/.f64 b a)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b b))) -1))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 b a))))
Outputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (/.f64 (/.f64 (*.f64 (*.f64 0 b) a) (sqrt.f64 -1)) b)))
(fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b))
(fma.f64 (sqrt.f64 -1) b 0)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))))
(fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 1/2 (*.f64 0 b)) (*.f64 (sqrt.f64 -1) b)) 2)) (/.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 a a))) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (/.f64 (/.f64 (*.f64 (*.f64 0 b) a) (sqrt.f64 -1)) b))))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) 2)) (sqrt.f64 -1)) (/.f64 a (/.f64 b a))) (fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b)))
(fma.f64 1/2 (/.f64 (/.f64 a (/.f64 b a)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (sqrt.f64 -1) b))) 2)) (*.f64 (+.f64 b (*.f64 -1 b)) (pow.f64 a 3))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))))
(fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 1/2 (*.f64 0 b)) (*.f64 (sqrt.f64 -1) b)) 2)) (/.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 a a))) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (/.f64 (/.f64 (*.f64 (*.f64 0 b) a) (sqrt.f64 -1)) b))))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) 2)) (sqrt.f64 -1)) (/.f64 a (/.f64 b a))) (fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b)))
(fma.f64 1/2 (/.f64 (/.f64 a (/.f64 b a)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) b))
a
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) a)
a
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) a)) a))
(fma.f64 1/2 (*.f64 0 b) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) a) a))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 b b) 0) a) a) 0)
(fma.f64 1/2 (neg.f64 (/.f64 b (/.f64 a b))) a)
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2)) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) 2))) (pow.f64 a 2))) a)))
(fma.f64 1/2 (*.f64 0 b) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (pow.f64 (*.f64 1/2 (*.f64 0 b)) 2)) a) a))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 b b) 0) a) a) 0)
(fma.f64 1/2 (neg.f64 (/.f64 b (/.f64 a b))) a)
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))
a
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
a
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))))
(fma.f64 1/2 (*.f64 0 b) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 1/2 (*.f64 0 b)) (sqrt.f64 -1)) 2)) a) (neg.f64 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) a) (*.f64 a 1))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(+.f64 (*.f64 1/2 (+.f64 b (*.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 b (*.f64 -1 b)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))
(fma.f64 1/2 (*.f64 0 b) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 1/2 (*.f64 0 b)) (sqrt.f64 -1)) 2)) a) (neg.f64 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) a) (*.f64 a 1))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
a
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) a)
a
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a))
(fma.f64 1/2 (*.f64 0 b) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 1/2 (*.f64 0 b)) (sqrt.f64 -1)) 2)) a) (neg.f64 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) a) (*.f64 a 1))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2) 1) (pow.f64 b 3))) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) b) a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a)))
(fma.f64 1/2 (*.f64 0 b) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 1/2 (*.f64 0 b)) (sqrt.f64 -1)) 2)) a) (neg.f64 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) a) (*.f64 a 1))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (/.f64 (/.f64 (*.f64 (*.f64 0 b) a) (sqrt.f64 -1)) b)))
(fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b))
(fma.f64 (sqrt.f64 -1) b 0)
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b)))
(fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 1/2 (*.f64 0 b)) (*.f64 (sqrt.f64 -1) b)) 2)) (/.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 a a))) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (/.f64 (/.f64 (*.f64 (*.f64 0 b) a) (sqrt.f64 -1)) b))))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) 2)) (sqrt.f64 -1)) (/.f64 a (/.f64 b a))) (fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b)))
(fma.f64 1/2 (/.f64 (/.f64 a (/.f64 b a)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 2)))) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 1/2 (*.f64 0 b)) (*.f64 (sqrt.f64 -1) b)) 2)) (/.f64 (*.f64 (sqrt.f64 -1) b) (*.f64 a a))) (fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (/.f64 (/.f64 (*.f64 (*.f64 0 b) a) (sqrt.f64 -1)) b))))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) 2)) (sqrt.f64 -1)) (/.f64 a (/.f64 b a))) (fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b)))
(fma.f64 1/2 (/.f64 (/.f64 a (/.f64 b a)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) b))
(*.f64 -1 (*.f64 (sqrt.f64 -1) b))
(neg.f64 (*.f64 (sqrt.f64 -1) b))
(*.f64 (sqrt.f64 -1) (neg.f64 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))))
(neg.f64 (*.f64 (sqrt.f64 -1) b))
(*.f64 (sqrt.f64 -1) (neg.f64 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1)))))
(fma.f64 -1 (*.f64 (sqrt.f64 -1) b) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 a) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b)) (*.f64 1/2 (/.f64 (*.f64 0 a) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 a a) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) b)) (/.f64 0 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(-.f64 (*.f64 (/.f64 -1/2 b) (/.f64 (*.f64 a a) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) b)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 2)))))))
(fma.f64 -1 (*.f64 (sqrt.f64 -1) b) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 1/2 (/.f64 (*.f64 0 a) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) b)) (*.f64 1/2 (/.f64 (*.f64 0 a) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 a a) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) b)) (/.f64 0 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(-.f64 (*.f64 (/.f64 -1/2 b) (/.f64 (*.f64 a a) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(sqrt.f64 b)
(+.f64 (*.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 b)))) (sqrt.f64 b))
(fma.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 b))) (sqrt.f64 b))
(+.f64 (*.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 b)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 a 2) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (sqrt.f64 b)))
(fma.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 b))) (fma.f64 -1/8 (*.f64 (*.f64 a a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (sqrt.f64 b)))
(fma.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 b))) (fma.f64 -1/8 (*.f64 a (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (sqrt.f64 b)))
(+.f64 (*.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 b)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 a 2) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (sqrt.f64 b) (*.f64 1/16 (*.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 b 5))))))))
(fma.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 b))) (+.f64 (fma.f64 -1/8 (*.f64 (*.f64 a a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (sqrt.f64 b)) (*.f64 (*.f64 1/16 (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 5))))))
(fma.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 b))) (fma.f64 -1/8 (*.f64 a (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 1/16 (*.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) (sqrt.f64 b))))
(sqrt.f64 a)
(+.f64 (sqrt.f64 a) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 a)) b)))
(+.f64 (sqrt.f64 a) (*.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 a)))))
(fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 a))) (sqrt.f64 a))
(+.f64 (sqrt.f64 a) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 a)) b)) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 a) (fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 a))) (*.f64 -1/8 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (pow.f64 a 3)))))))
(+.f64 (sqrt.f64 a) (fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 a))) (*.f64 (*.f64 b b) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))))))
(+.f64 (sqrt.f64 a) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 a)) b)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 5))) (pow.f64 b 3))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2))))))
(+.f64 (sqrt.f64 a) (fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 a))) (fma.f64 1/16 (*.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 1 (pow.f64 a 5)))) (*.f64 -1/8 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (pow.f64 a 3))))))))
(+.f64 (fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 a))) (sqrt.f64 a)) (fma.f64 -1/8 (*.f64 b (*.f64 b (sqrt.f64 (/.f64 1 (pow.f64 a 3))))) (*.f64 (pow.f64 b 3) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 a 5)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 b)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 b)) (/.f64 a (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 b)))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 b)) (/.f64 a (sqrt.f64 -1))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 b)) (/.f64 a (sqrt.f64 -1))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 b) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (/.f64 (*.f64 (*.f64 a a) -1/8) (neg.f64 (sqrt.f64 -1))))))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) 1))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 a b)) 1) 1/2))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 a b)) 1/2) 1))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) 1) 1))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b)))) 3))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 a b))) 1/3))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 a b))) 2))
(sqrt.f64 (-.f64 a b))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 a b))
(+.f64 0 (*.f64 b (/.f64 b a)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a))) (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (/.f64 b a)))) 1)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (*.f64 b (/.f64 b a)) 1)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 1 (*.f64 b (/.f64 b a)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 b a)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 2))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 2) (cbrt.f64 (*.f64 b (/.f64 b a))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 b a)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) (sqrt.f64 (*.f64 b (/.f64 b a))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (neg.f64 b) (/.f64 1 (/.f64 (neg.f64 a) b)))
(*.f64 (neg.f64 b) (/.f64 1 (neg.f64 (/.f64 a b))))
(/.f64 (neg.f64 b) (neg.f64 (/.f64 a b)))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 1 a) (/.f64 b (/.f64 1 b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(/.f64 (/.f64 b (cbrt.f64 (/.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 a b)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(/.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (sqrt.f64 (/.f64 a b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) (/.f64 1 b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (/.f64 a b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (cbrt.f64 (*.f64 b (/.f64 b a))))
(*.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)))
(*.f64 (cbrt.f64 (/.f64 b (/.f64 a b))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 b) (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(/.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (sqrt.f64 (/.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) (/.f64 1 b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (/.f64 a b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(/.f64 (/.f64 b (cbrt.f64 (/.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 a b)) 2))
(*.f64 (/.f64 b 1) (/.f64 b a))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (*.f64 (/.f64 b a) 1) b)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (*.f64 (/.f64 b a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (*.f64 (/.f64 b a) (sqrt.f64 b)) (sqrt.f64 b))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b (neg.f64 a)) (neg.f64 b))
(*.f64 (neg.f64 b) (/.f64 1 (neg.f64 (/.f64 a b))))
(/.f64 (neg.f64 b) (neg.f64 (/.f64 a b)))
(pow.f64 (*.f64 b (/.f64 b a)) 1)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 3)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3) 1/3)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) 2)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (/.f64 a (*.f64 b b)) -1)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (/.f64 (/.f64 a (*.f64 b b)) 1) -1)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(neg.f64 (/.f64 b (/.f64 (neg.f64 a) b)))
(*.f64 (neg.f64 b) (/.f64 1 (neg.f64 (/.f64 a b))))
(/.f64 (neg.f64 b) (neg.f64 (/.f64 a b)))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(log.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 b a)))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (/.f64 a b) 3)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 b a))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (log.f64 (*.f64 b (/.f64 b a))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 b a))) 1))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 b (/.f64 b a))) 1) 1))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 b (/.f64 b a)))) 3))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3)) 1/3))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 b (/.f64 b a)))) 2))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b b))) -1))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 b a))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))

eval71.0ms (2.6%)

Compiler

Compiled 4547 to 2325 computations (48.9% saved)

prune41.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2481249
Fresh011
Picked022
Done011
Total2485253
Accurracy
100.0%
Counts
253 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
99.2%
(*.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)))
99.2%
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
53.1%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
98.4%
a
99.1%
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
99.2%
(*.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)))
99.2%
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
53.1%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
98.4%
a
Compiler

Compiled 92 to 58 computations (37% saved)

localize38.0ms (1.4%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 a b))
100.0%
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
99.2%
(*.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)))
Compiler

Compiled 31 to 9 computations (71% saved)

series19.0ms (0.7%)

Counts
2 → 6
Calls

12 calls:

TimeVariablePointExpression
5.0ms
a
@-inf
(*.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)))
3.0ms
b
@-inf
(*.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)))
3.0ms
b
@inf
(*.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)))
3.0ms
a
@inf
(*.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)))
2.0ms
a
@0
(*.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)))

rewrite70.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1310×prod-diff
1036×log-prod
760×pow-prod-down
588×pow-prod-up
574×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01138
122734
2287134
Stop Event
node limit
Counts
2 → 48
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
Outputs
(+.f64 0 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 2)
(pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/2)
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(+.f64 0 (sqrt.f64 (+.f64 a b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a b)))) 1)
(*.f64 (sqrt.f64 (+.f64 a b)) 1)
(*.f64 1 (sqrt.f64 (+.f64 a b)))
(*.f64 (pow.f64 (+.f64 a b) 1/6) (cbrt.f64 (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 a b)) (pow.f64 (+.f64 a b) 1/6))
(*.f64 (pow.f64 (+.f64 a b) 1/4) (pow.f64 (+.f64 a b) 1/4))
(pow.f64 (sqrt.f64 (+.f64 a b)) 1)
(pow.f64 (pow.f64 (+.f64 a b) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 a b) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 a b) 1/4) 2)
(pow.f64 (+.f64 a b) 1/2)
(sqrt.f64 (+.f64 a b))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a b)))))
(cbrt.f64 (pow.f64 (+.f64 a b) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a b) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a b) 3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a b) 1/4)) 2))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))

simplify52.0ms (1.9%)

Algorithm
egg-herbie
Rules
2226×fma-def
812×log-prod
676×associate-*r*
592×associate-*l*
558×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01261010
1241962
2631894
33547894
Stop Event
node limit
Counts
54 → 67
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
a
(+.f64 (*.f64 -1/2 b) a)
(sqrt.f64 a)
(sqrt.f64 b)
(+.f64 0 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 2)
(pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/2)
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(+.f64 0 (sqrt.f64 (+.f64 a b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a b)))) 1)
(*.f64 (sqrt.f64 (+.f64 a b)) 1)
(*.f64 1 (sqrt.f64 (+.f64 a b)))
(*.f64 (pow.f64 (+.f64 a b) 1/6) (cbrt.f64 (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 a b)) (pow.f64 (+.f64 a b) 1/6))
(*.f64 (pow.f64 (+.f64 a b) 1/4) (pow.f64 (+.f64 a b) 1/4))
(pow.f64 (sqrt.f64 (+.f64 a b)) 1)
(pow.f64 (pow.f64 (+.f64 a b) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 a b) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 a b) 1/4) 2)
(pow.f64 (+.f64 a b) 1/2)
(sqrt.f64 (+.f64 a b))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a b)))))
(cbrt.f64 (pow.f64 (+.f64 a b) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a b) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a b) 3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a b) 1/4)) 2))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))
Outputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) b))
(fma.f64 (sqrt.f64 -1) b (*.f64 1/2 (/.f64 a (sqrt.f64 -1))))
a
(+.f64 (*.f64 -1/2 b) a)
(fma.f64 -1/2 b a)
(fma.f64 b -1/2 a)
(sqrt.f64 a)
(sqrt.f64 b)
(+.f64 0 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))) 2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 1)
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1)
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 3)
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 3) 1/3)
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 2)
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/2)
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 3))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 1))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 1) 1))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 3))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 1/3))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))) 2))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(+.f64 0 (sqrt.f64 (+.f64 a b)))
(sqrt.f64 (+.f64 b a))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(sqrt.f64 (+.f64 b a))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a b)))) 1)
(sqrt.f64 (+.f64 b a))
(*.f64 (sqrt.f64 (+.f64 a b)) 1)
(sqrt.f64 (+.f64 b a))
(*.f64 1 (sqrt.f64 (+.f64 a b)))
(sqrt.f64 (+.f64 b a))
(*.f64 (pow.f64 (+.f64 a b) 1/6) (cbrt.f64 (+.f64 a b)))
(sqrt.f64 (+.f64 b a))
(*.f64 (cbrt.f64 (+.f64 a b)) (pow.f64 (+.f64 a b) 1/6))
(sqrt.f64 (+.f64 b a))
(*.f64 (pow.f64 (+.f64 a b) 1/4) (pow.f64 (+.f64 a b) 1/4))
(sqrt.f64 (+.f64 b a))
(pow.f64 (sqrt.f64 (+.f64 a b)) 1)
(sqrt.f64 (+.f64 b a))
(pow.f64 (pow.f64 (+.f64 a b) 1/6) 3)
(sqrt.f64 (+.f64 b a))
(pow.f64 (pow.f64 (+.f64 a b) 3/2) 1/3)
(sqrt.f64 (+.f64 b a))
(pow.f64 (pow.f64 (+.f64 a b) 1/4) 2)
(sqrt.f64 (+.f64 b a))
(pow.f64 (+.f64 a b) 1/2)
(sqrt.f64 (+.f64 b a))
(sqrt.f64 (+.f64 a b))
(sqrt.f64 (+.f64 b a))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))
(sqrt.f64 (+.f64 b a))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a b)))))
(sqrt.f64 (+.f64 b a))
(cbrt.f64 (pow.f64 (+.f64 a b) 3/2))
(sqrt.f64 (+.f64 b a))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(sqrt.f64 (+.f64 b a))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a b))))
(sqrt.f64 (+.f64 b a))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1))
(sqrt.f64 (+.f64 b a))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1) 1))
(sqrt.f64 (+.f64 b a))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a b) 1/6)) 3))
(sqrt.f64 (+.f64 b a))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a b) 3/2)) 1/3))
(sqrt.f64 (+.f64 b a))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a b) 1/4)) 2))
(sqrt.f64 (+.f64 b a))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) 1/2))
(sqrt.f64 (+.f64 b a))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))
(sqrt.f64 (+.f64 b a))

eval29.0ms (1.1%)

Compiler

Compiled 2101 to 838 computations (60.1% saved)

prune18.0ms (0.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1280128
Fresh011
Picked011
Done033
Total1285133
Accurracy
100.0%
Counts
133 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
99.2%
(*.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)))
99.2%
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
53.1%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
98.4%
a
99.1%
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
99.2%
(*.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)))
99.2%
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
53.1%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
98.4%
a
Compiler

Compiled 92 to 58 computations (37% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Accurracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
99.2%
(*.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)))
99.2%
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
53.1%
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
98.4%
a
Compiler

Compiled 92 to 50 computations (45.7% saved)

regimes27.0ms (1%)

Counts
6 → 1
Calls
Call 1
Inputs
a
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)))
Outputs
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
Calls

6 calls:

5.0ms
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
5.0ms
b
5.0ms
a
4.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
4.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.2%1(-.f64 (*.f64 a a) (*.f64 b b))
99.2%1(*.f64 a a)
99.2%1(*.f64 b b)
Compiler

Compiled 81 to 42 computations (48.1% saved)

regimes24.0ms (0.9%)

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

6 calls:

6.0ms
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
4.0ms
b
4.0ms
a
3.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
3.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
99.1%1a
99.1%1b
99.1%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.1%1(-.f64 (*.f64 a a) (*.f64 b b))
99.1%1(*.f64 a a)
99.1%1(*.f64 b b)
Compiler

Compiled 62 to 35 computations (43.5% saved)

regimes20.0ms (0.7%)

Accuracy

Total -29.6b remaining (-2918%)

Threshold costs -29.6b (-2918%)

Counts
3 → 1
Calls
Call 1
Inputs
a
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Outputs
a
Calls

6 calls:

4.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
3.0ms
a
3.0ms
b
3.0ms
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
3.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
98.4%1a
98.4%1b
98.4%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
98.4%1(-.f64 (*.f64 a a) (*.f64 b b))
98.4%1(*.f64 a a)
98.4%1(*.f64 b b)
Compiler

Compiled 54 to 31 computations (42.6% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative
sub-neg
*-commutative
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01549
11949
22449
32649
42749
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
a
Outputs
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
a
Compiler

Compiled 24 to 15 computations (37.5% saved)

soundness515.0ms (18.7%)

Rules
2086×fma-def
1660×fma-def
1424×associate-/l*
1384×distribute-lft-out
1296×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11923
23123
36023
413823
538623
685023
7171923
8387523
9553823
10639723
11676623
12699623
13711023
14711023
0923
119323
2266923
01972120
15701680
225321312
Stop Event
node limit
node limit
node limit
Compiler

Compiled 45 to 21 computations (53.3% saved)

end0.0ms (0%)

preprocess43.0ms (1.6%)

Remove

(abs b)

Compiler

Compiled 156 to 94 computations (39.7% saved)

Profiling

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