Details

Time bar (total: 18.3s)

analyze338.0ms (1.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%93.6%6.4%7
6.2%87.4%6.4%8
10.1%81.1%8.7%9
15.6%71%13.4%10
22%63%15%11
29.1%52.9%18.1%12
Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.1s (11.5%)

Results
755.0ms5512×body256valid
542.0ms1196×body2048valid
259.0ms741×body1024valid
237.0ms421×body4096valid
217.0ms1604×body256invalid
89.0ms386×body512valid

preprocess88.0ms (0.5%)

Algorithm
egg-herbie
Rules
807×fma-def_binary64
685×div-sub_binary64
484×associate-/r*_binary64
440×distribute-frac-neg_binary64
353×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039104
19888
219888
344688
475788
5125088
6222588
7444988
8717188
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 a b))))) (*.f64 2 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 a) c))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 2 b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (+.f64 (*.f64 a a) (*.f64 -4 (*.f64 b c))))) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 (*.f64 -4 b) c))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a))) a) (*.f64 b 2))
(*.f64 -1/2 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) b))
(*.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4))))) b) -1/2)
(*.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4))))) (/.f64 -1/2 b))
(*.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) (/.f64 -1/2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 2 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 a) c))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 c 2))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 -1/2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 a b))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 b a))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 (*.f64 -4 b) a))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4)))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) a))
(*.f64 (-.f64 c (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4))))) (/.f64 -1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) a))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify111.0ms (0.6%)

Algorithm
egg-herbie
Rules
852×fma-def_binary64
747×fma-neg_binary64
695×div-sub_binary64
619×times-frac_binary64
422×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01526
13422
26922
316122
425722
541522
673022
7132222
8263222
9391422
10578022
11690922
12775122
13783922
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 -4 (*.f64 a c))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a) -1/2)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

eval1.0ms (0%)

Compiler

Compiled 35 to 23 computations (34.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
34.6b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
34.6b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
34.7b
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
Compiler

Compiled 38 to 26 computations (31.6% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
0.5b
(fma.f64 b b (*.f64 a (*.f64 c -4)))
1.3b
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))
25.2b
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
Compiler

Compiled 62 to 36 computations (41.9% saved)

series32.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
2.0ms
a
@-inf
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
2.0ms
b
@0
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
1.0ms
a
@inf
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
1.0ms
c
@inf
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
1.0ms
c
@0
(fma.f64 b b (*.f64 a (*.f64 c -4)))

rewrite108.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
675×log-prod_binary64
639×prod-diff_binary64
320×fma-def_binary64
249×expm1-udef_binary64
249×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01362
128159
2365959
Stop Event
node limit
Counts
4 → 218
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 -1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b 1 (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))) (sqrt.f64 (pow.f64 (cbrt.f64 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simplify69.0ms (0.4%)

Algorithm
egg-herbie
Rules
969×times-frac_binary64
898×fma-def_binary64
822×associate-*l*_binary64
643×associate-/l*_binary64
574×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01842486
15702363
220422204
Stop Event
node limit
Counts
314 → 301
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 3)) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 -2 c) (/.f64 b a))) (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) b))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) b) (*.f64 (/.f64 (*.f64 -4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 (*.f64 (*.f64 2 c) a) b) b)
(-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b)
(-.f64 (*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a)))) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (neg.f64 b))))
(-.f64 (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))) b)
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
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(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) a) (/.f64 (pow.f64 c 4) b)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (*.f64 a b)) (pow.f64 c 4)) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
0.4b
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
1.3b
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
25.2b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
Compiler

Compiled 73 to 32 computations (56.2% saved)

series19.0ms (0.1%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
2.0ms
a
@0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
1.0ms
a
@inf
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
1.0ms
c
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
1.0ms
a
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
1.0ms
b
@0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))

rewrite118.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
817×log-prod_binary64
729×fma-def_binary64
373×fma-neg_binary64
277×expm1-udef_binary64
277×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01574
134362
2492059
Stop Event
node limit
Counts
4 → 334
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (*.f64 (pow.f64 (*.f64 a c) 3) 64))) (sqrt.f64 (fma.f64 (*.f64 4 (*.f64 a c)) (fma.f64 b b (*.f64 4 (*.f64 a c))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 a c) 2) 16))) (hypot.f64 b (*.f64 2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 4 (*.f64 a c)))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b b (fma.f64 (*.f64 a c) -4 (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 4 (*.f64 a c))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (fma.f64 b b (fma.f64 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(2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))) (neg.f64 (fma.f64 b b (fma.f64 b b (fma.f64 (*.f64 a c) -4 (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 4 (*.f64 a c)))) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 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((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 a a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))) 1))))))

simplify71.0ms (0.4%)

Algorithm
egg-herbie
Rules
978×times-frac_binary64
978×fma-def_binary64
644×associate-/l*_binary64
579×associate-/r*_binary64
421×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01842477
15822367
221172202
Stop Event
node limit
Counts
430 → 415
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b)
(-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) b)
(-.f64 (*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (-.f64 (fma.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))) b))
(fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (-.f64 (*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) b))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b))
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b)))
(-.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 -2 (/.f64 b (*.f64 c a)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(*.f64 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a))))
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))))
(*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))
(fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 2 (/.f64 b (*.f64 c a))))
(fma.f64 b -2 (*.f64 (/.f64 2 b) (*.f64 c a)))
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(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 c b) (+.f64 (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (neg.f64 (/.f64 b a))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (pow.f64 a 3) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 a 3) b) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)) (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3))))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) (*.f64 a b)) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 a (/.f64 (pow.f64 c 4) b))) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))

eval664.0ms (3.6%)

Compiler

Compiled 20648 to 12271 computations (40.6% saved)

prune191.0ms (1%)

Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New68828716
Fresh000
Picked101
Done101
Total69028718
Error
7.6b
Counts
718 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
39.7b
(*.f64 (-.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
33.8b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
46.0b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
54.9b
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
46.5b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
45.7b
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
35.1b
(+.f64 (*.f64 (/.f64 -1/2 a) b) (*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))
39.4b
(/.f64 (neg.f64 c) b)
39.7b
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (*.f64 2 a))
41.5b
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
46.5b
(*.f64 (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))) (/.f64 -1/2 a))
50.0b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
46.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
54.4b
(pow.f64 (pow.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 3) 1/3)
47.5b
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) a) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 2))
46.2b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
46.3b
(-.f64 (/.f64 c b) (/.f64 b a))
46.4b
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
36.4b
(*.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
44.6b
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
46.8b
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
44.3b
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
47.5b
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
48.9b
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 (*.f64 a -2) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))
41.4b
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))) (*.f64 2 a))
54.9b
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
34.7b
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
46.2b
(neg.f64 (/.f64 b a))
Compiler

Compiled 982 to 682 computations (30.5% saved)

localize71.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
0.1b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
0.3b
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
14.2b
(sqrt.f64 (*.f64 a (*.f64 c -4)))
Compiler

Compiled 83 to 54 computations (34.9% saved)

series94.0ms (0.5%)

Counts
4 → 36
Calls

33 calls:

TimeVariablePointExpression
8.0ms
b
@inf
(/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
7.0ms
c
@inf
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
7.0ms
c
@0
(/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
7.0ms
c
@inf
(/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
6.0ms
c
@-inf
(/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))

rewrite131.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
804×log-prod_binary64
593×prod-diff_binary64
277×expm1-udef_binary64
277×log1p-udef_binary64
246×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01569
132466
2424566
Stop Event
node limit
Counts
4 → 215
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
(/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
Outputs
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simplify85.0ms (0.5%)

Algorithm
egg-herbie
Rules
805×associate-/r*_binary64
677×unswap-sqr_binary64
374×associate-*l/_binary64
346×associate-*r/_binary64
239×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02161792
16671419
227131360
368171353
Stop Event
node limit
Counts
251 → 287
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(*.f64 2 b)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (pow.f64 b 2))) (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (sqrt.f64 -4)))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))) (*.f64 2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/128 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)))
(fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)))
(fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(*.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(*.f64 -1/2 (/.f64 c (/.f64 (/.f64 b a) -4)))
(*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (*.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 b a) -4)) (*.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16)))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 b a) -4)) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (pow.f64 a 3)) (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) -1/8) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 b a) -4)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c a) a)) -2) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) (fma.f64 -1/2 (*.f64 (*.f64 (/.f64 c b) -4) a) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (pow.f64 a 3)) (*.f64 (/.f64 1/2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64)))))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))
(fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2))
(fma.f64 b 2 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))))
(fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 c -4))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)))
(+.f64 (fma.f64 b 2 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4))))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c a) a)) -2) (pow.f64 b 3)))
(+.f64 (fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 c -4)))) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2))))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c a) a)) -2) (pow.f64 b 3)) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) 1/16 (fma.f64 b 2 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))))))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (pow.f64 a 3)) 1/16 (fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 c -4))))))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))))
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(+.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 c (*.f64 c (pow.f64 a 3))) -1) (fma.f64 1/4 (*.f64 a (*.f64 (*.f64 (*.f64 a (*.f64 a 16)) (*.f64 c -1/8)) c)) (*.f64 (/.f64 1/8 a) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 c c))))) (pow.f64 b 5)) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) 1/2) (pow.f64 b 3)))))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(fma.f64 -1 (/.f64 a b) (*.f64 1/4 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3))))
(-.f64 (*.f64 1/4 (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 -4 (*.f64 a a)))) (/.f64 a b))
(-.f64 (/.f64 (/.f64 (neg.f64 c) b) (/.f64 (/.f64 (*.f64 b b) a) a)) (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))))))
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 16)) (*.f64 1/4 (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 -4 (*.f64 a a))))) (/.f64 a b))
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 16)) (/.f64 (/.f64 (neg.f64 c) b) (/.f64 (/.f64 (*.f64 b b) a) a))) (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/128 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -4) 6) (pow.f64 a 4))) 5/128) (pow.f64 b 7)) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))))))))
(-.f64 (fma.f64 1/4 (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 -4 (*.f64 a a))) (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 16))))) (/.f64 a b))
(-.f64 (fma.f64 1/4 (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a (*.f64 a -4))) (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 16))))) (/.f64 a b))

localize7.0ms (0%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.5b
(/.f64 -2 (/.f64 b (*.f64 c a)))
5.8b
(/.f64 b (*.f64 c a))
10.8b
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
Compiler

Compiled 37 to 16 computations (56.8% saved)

series23.0ms (0.1%)

Counts
3 → 72
Calls

27 calls:

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

rewrite115.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
707×log-prod_binary64
399×pow-prod-down_binary64
316×pow2_binary64
254×pow-unpow_binary64
248×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01133
124430
2351730
Stop Event
node limit
Counts
3 → 142
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 b (*.f64 c a))
(/.f64 -2 (/.f64 b (*.f64 c a)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (*.f64 c a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (*.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 (/.f64 1 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 (/.f64 1 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) (pow.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) 2) (cbrt.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 (/.f64 1 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (*.f64 c a))) (sqrt.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (*.f64 c (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) c) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b c) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) c) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) -2) (/.f64 b (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (cbrt.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) -1/2) (/.f64 b (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 c a))) (/.f64 (cbrt.f64 b) (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (*.f64 c a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (*.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (*.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 c a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 c (/.f64 b a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (*.f64 c (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (*.f64 c a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (*.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 c a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 c a) (/.f64 -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 c (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (/.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (neg.f64 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 c a) (/.f64 -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 2) (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) (sqrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (/.f64 b a)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 b) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (neg.f64 b)) (*.f64 c (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (/.f64 b c)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) c) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) a) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) 1) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (cbrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) (sqrt.f64 (*.f64 c a))) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 1))))))

simplify66.0ms (0.4%)

Algorithm
egg-herbie
Rules
100×fma-def_binary64
24×fma-neg_binary64
19×*-commutative_binary64
17×associate-/l*_binary64
16×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011576
121576
241576
374576
4110576
5129576
6137576
7158576
8244576
9344576
Stop Event
saturated
Counts
214 → 146
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 -2 (*.f64 c a)) b)
(/.f64 -2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c -2)) b)

localize40.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
2.9b
(-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
2.9b
(/.f64 c (/.f64 b a))
5.3b
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
Compiler

Compiled 51 to 20 computations (60.8% saved)

series26.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
4.0ms
c
@inf
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
2.0ms
a
@-inf
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
2.0ms
c
@-inf
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
2.0ms
b
@-inf
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
2.0ms
a
@inf
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))

rewrite103.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
708×log-prod_binary64
517×prod-diff_binary64
249×expm1-udef_binary64
249×log1p-udef_binary64
217×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241
127341
2388541
Stop Event
node limit
Counts
3 → 184
Calls
Call 1
Inputs
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
(/.f64 c (/.f64 b a))
(-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
Outputs
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b)) (fma.f64 (neg.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) 1 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) 2) (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) (+.f64 (neg.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) 2) (neg.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule 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(*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (pow.f64 (cbrt.f64 (-.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) 2) (+.f64 (neg.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) 2) (cbrt.f64 (-.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (fma.f64 (neg.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) 1 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) 2) (cbrt.f64 (-.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) 2) (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) 2) (cbrt.f64 (-.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (+.f64 (neg.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (neg.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 (neg.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (sqrt.f64 (-.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (fma.f64 (neg.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) 1 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (sqrt.f64 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(fma.f64 (*.f64 -2 c) (/.f64 a b) b)) (*.f64 b b))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) 2) (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b) 3)) (/.f64 1 (fma.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b) (+.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) (*.f64 b b))) (+.f64 (neg.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 b b) (pow.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b) 2)) (/.f64 1 (+.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (fma.f64 (neg.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) 1 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 b b) (pow.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b) 2)) (/.f64 1 (+.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) 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b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 (*.f64 -2 c) (/.f64 a b) b) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (-.f64 (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (fma.f64 (neg.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) 1 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (-.f64 (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) 2) (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (-.f64 (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (+.f64 (neg.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) (fma.f64 (*.f64 -2 c) (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) 2)) (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) b)))))

simplify48.0ms (0.3%)

Algorithm
egg-herbie
Rules
100×fma-def_binary64
24×fma-neg_binary64
19×*-commutative_binary64
17×associate-/l*_binary64
16×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011828
121828
241828
374828
4110828
5129828
6137828
7158828
8244828
9344828
Stop Event
saturated
Counts
292 → 189
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 a (*.f64 c 2)) b)

localize89.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
0.2b
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
1.3b
(-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)))
34.1b
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))
Compiler

Compiled 77 to 42 computations (45.5% saved)

series36.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
9.0ms
c
@0
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
2.0ms
b
@0
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
2.0ms
b
@inf
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
2.0ms
c
@-inf
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
2.0ms
c
@inf
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)

rewrite192.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
702×prod-diff_binary64
688×log-prod_binary64
313×fma-def_binary64
271×expm1-udef_binary64
271×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01574
132565
2410062
Stop Event
node limit
Counts
4 → 207
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))
(-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)))
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) 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simplify204.0ms (1.1%)

Algorithm
egg-herbie
Rules
452×fma-def_binary64
371×distribute-rgt-in_binary64
366×distribute-lft-in_binary64
342×distribute-rgt-out_binary64
306×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04084188
113253872
253003510
Stop Event
node limit
Counts
303 → 345
Calls
Call 1
Inputs
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
b
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(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
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b
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(*.f64 -1 b)
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(*.f64 2 (/.f64 (*.f64 c a) b))
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(pow.f64 b 3)
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(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
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(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (*.f64 c a))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 -9/512 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 9/1024 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 3))) (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)))))
(pow.f64 b 3)
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(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
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(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
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(*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64))
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(pow.f64 b 3)
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(*.f64 -1 (pow.f64 b 3))
(+.f64 (*.f64 6 (*.f64 c (*.f64 a b))) (*.f64 -1 (pow.f64 b 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -12 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 18 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b)) (+.f64 (*.f64 6 (*.f64 c (*.f64 a b))) (*.f64 -1 (pow.f64 b 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -12 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 18 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b)) (+.f64 (*.f64 6 (*.f64 c (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -36 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 72 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 3))) (*.f64 -1 (pow.f64 b 3)))))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 3)) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
Outputs
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a))))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(fma.f64 (*.f64 (/.f64 c b) a) 2 (neg.f64 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 (*.f64 (/.f64 c b) a) 2 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4 (fma.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (neg.f64 b))))
(-.f64 (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4)) b)
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(-.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) -1/2 (-.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) 1/8 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) -1/2 (-.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(*.f64 (*.f64 (/.f64 c b) a) 2)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4)))
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4)))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))
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(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 3)) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (/.f64 b (pow.f64 a 3))) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 -1/4 (/.f64 b (*.f64 (pow.f64 a 3) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))))))) (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 -1/4 (/.f64 b (*.f64 (pow.f64 a 3) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20))))) (+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) b)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))

eval629.0ms (3.4%)

Compiler

Compiled 26756 to 16621 computations (37.9% saved)

prune199.0ms (1.1%)

Pruning

34 alts after pruning (31 fresh and 3 done)

PrunedKeptTotal
New94522967
Fresh14923
Picked011
Done224
Total96134995
Error
5.0b
Counts
995 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
33.8b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
39.7b
(/.f64 1 (/.f64 (neg.f64 b) c))
44.5b
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
46.5b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
54.9b
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
46.0b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
42.0b
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a))
35.1b
(+.f64 (*.f64 (/.f64 -1/2 a) b) (*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))
41.5b
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
46.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
43.4b
(/.f64 (/.f64 -2 (*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))) (*.f64 2 a))
54.7b
(*.f64 (-.f64 b (cbrt.f64 (-.f64 (*.f64 c (*.f64 (*.f64 b a) 6)) (pow.f64 b 3)))) (/.f64 -1/2 a))
39.4b
(/.f64 (neg.f64 c) b)
46.5b
(*.f64 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))) (/.f64 -1/2 a))
44.1b
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
46.2b
(/.f64 1 (/.f64 (neg.f64 a) b))
47.5b
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) a) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 2))
46.4b
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
46.3b
(-.f64 (/.f64 c b) (/.f64 b a))
48.2b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
46.2b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
36.4b
(*.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
46.8b
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
62.4b
(*.f64 (fma.f64 (-.f64 (*.f64 b b) (pow.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b) 2)) (/.f64 1 (+.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) 2) (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (/.f64 -1/2 a))
46.2b
(neg.f64 (/.f64 b a))
44.2b
(pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))) 3)
39.7b
(*.f64 (-.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (/.f64 -1/2 a))
48.9b
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) -4 (*.f64 b b))) (*.f64 (*.f64 a -2) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))
61.5b
(*.f64 (-.f64 b (cbrt.f64 (+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b)))))) (/.f64 -1/2 a))
39.1b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
41.4b
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))) (*.f64 2 a))
48.3b
(*.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
54.9b
(*.f64 (-.f64 b (fma.f64 -2 (*.f64 (*.f64 (/.f64 c b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) b)) (/.f64 -1/2 a))
50.0b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
Compiler

Compiled 1220 to 835 computations (31.6% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
0.2b
(*.f64 (/.f64 -1/2 a) b)
2.3b
(+.f64 (*.f64 (/.f64 -1/2 a) b) (*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))
14.2b
(sqrt.f64 (*.f64 (*.f64 a c) -4))
Compiler

Compiled 79 to 45 computations (43% saved)

series42.0ms (0.2%)

Counts
4 → 52
Calls

30 calls:

TimeVariablePointExpression
18.0ms
b
@0
(*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
2.0ms
c
@inf
(+.f64 (*.f64 (/.f64 -1/2 a) b) (*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))
2.0ms
c
@-inf
(+.f64 (*.f64 (/.f64 -1/2 a) b) (*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))
2.0ms
a
@inf
(+.f64 (*.f64 (/.f64 -1/2 a) b) (*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))
2.0ms
a
@-inf
(+.f64 (*.f64 (/.f64 -1/2 a) b) (*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))

rewrite123.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
788×log-prod_binary64
353×fma-def_binary64
269×expm1-udef_binary64
269×log1p-udef_binary64
247×pow3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01559
133255
2449655
Stop Event
node limit
Counts
4 → 264
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 a c) -4))
(+.f64 (*.f64 (/.f64 -1/2 a) b) (*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))
(*.f64 (/.f64 -1/2 a) b)
(*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 a c) -4)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))) (cbrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (pow.f64 (*.f64 c -4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 a c) -4) 1/4) (pow.f64 (*.f64 (*.f64 a c) -4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 a c) -4)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 a c) -4)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 a c) -4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a c) -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 a c) -4) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 a c) -4) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 a c) -4) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 a c) -4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 a (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 -1/2 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) 1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 -1/2 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (/.f64 1/4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b) a))) 1))))))

simplify91.0ms (0.5%)

Algorithm
egg-herbie
Rules
724×associate-*r*_binary64
665×associate-*l*_binary64
476×times-frac_binary64
449×fma-def_binary64
362×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01311270
13841078
212581016
36636985
47966981
Stop Event
node limit
Counts
316 → 312
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 1/2 b) (*.f64 -1/2 b)) a)
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 1/2 (/.f64 b a))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 1/32 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 7)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 1/2 (/.f64 b a))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 b a)))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 1/2 (/.f64 b a))
Outputs
(/.f64 (+.f64 (*.f64 1/2 b) (*.f64 -1/2 b)) a)
(/.f64 (*.f64 b 0) a)
0
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b 1/4) (/.f64 (sqrt.f64 -4) b)))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
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(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) -1/4))
(fma.f64 -1/2 (/.f64 b a) (/.f64 (*.f64 1 c) b))
(fma.f64 -1/2 (/.f64 b a) (/.f64 c b))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))))
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) -1/4)))
(fma.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 16)) c)) 1/16 (fma.f64 -1/2 (/.f64 b a) (/.f64 (*.f64 1 c) b)))
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 1 a)) (fma.f64 -1/2 (/.f64 b a) (/.f64 c b)))
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (fma.f64 -1/2 (/.f64 b a) (/.f64 c b)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) -1/32))))
(fma.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 16)) c)) 1/16 (fma.f64 -1/2 (/.f64 b a) (fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 -64 a) a))) -1/32 (/.f64 (*.f64 1 c) b))))
(+.f64 (fma.f64 -1/2 (/.f64 b a) (/.f64 c b)) (+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 1 a)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a)))))
(+.f64 (fma.f64 -1/2 (/.f64 b a) (/.f64 c b)) (+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a)))))
(*.f64 1/2 (/.f64 b a))
(/.f64 b (/.f64 a 1/2))

localize5.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a))
14.6b
(/.f64 (*.f64 c a) a)
Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0%)

Counts
2 → 60
Calls

15 calls:

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

rewrite64.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
605×log-prod_binary64
422×pow-prod-down_binary64
291×pow2_binary64
257×log-div_binary64
230×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
12487
236307
Stop Event
node limit
Counts
2 → 115
Calls
Call 1
Inputs
(/.f64 (*.f64 c a) a)
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 c)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 c)) 2)) (log.f64 (cbrt.f64 (exp.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 c))) (log.f64 (sqrt.f64 (exp.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 c (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a c) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (/.f64 c (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 (cbrt.f64 (*.f64 a c)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (/.f64 c (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (neg.f64 c)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a 1) (/.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c a) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) 1) (/.f64 (cbrt.f64 (*.f64 a c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a c)) 1) (/.f64 (sqrt.f64 (*.f64 a c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (/.f64 a (cbrt.f64 a))) (/.f64 a (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 a) a) (/.f64 (*.f64 a c) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (/.f64 a (cbrt.f64 a))) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (/.f64 a (cbrt.f64 a))) (/.f64 (sqrt.f64 (*.f64 a c)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (/.f64 (*.f64 a c) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 a c)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 c 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c c) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 c 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 c) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 c) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 c) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 c) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a c) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 c 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x . c)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 c) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 c (neg.f64 b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c (neg.f64 b))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c (neg.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a c) (*.f64 a (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a c) (*.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (/.f64 1 c) (*.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (*.f64 b 2) (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 b) (*.f64 (/.f64 1 c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 b) (*.f64 2 (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 b) (/.f64 (*.f64 a 2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 b) (/.f64 2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 b) (/.f64 1 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (neg.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 c) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 b) (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a 2) (*.f64 (*.f64 a c) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (/.f64 (*.f64 -2 c) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 c)) (*.f64 (neg.f64 b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 b) (*.f64 (/.f64 1 c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a c) (/.f64 -2 b)) (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 c) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 c (neg.f64 b)) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 a c) (/.f64 -2 b))) (neg.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 -2 c) b)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 c (neg.f64 b)) a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 a c)) (*.f64 (*.f64 b 2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 a (neg.f64 c))) (*.f64 (*.f64 b 2) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a c) -2) (*.f64 a (*.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (neg.f64 c)) -2) (*.f64 (neg.f64 a) (*.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (neg.f64 c)) (/.f64 -2 b)) (*.f64 (neg.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (neg.f64 c)) 1) (*.f64 (neg.f64 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a c) (/.f64 2 b)) (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (neg.f64 c)) (/.f64 2 b)) (*.f64 (neg.f64 a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 b) (*.f64 a c)) (*.f64 -2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 b) 1) (*.f64 -2 (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -2 b) (*.f64 a (neg.f64 c))) (*.f64 2 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 b) (*.f64 a (neg.f64 c))) (*.f64 -2 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 c (neg.f64 b)) a) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 c (neg.f64 b)) a) (/.f64 a (cbrt.f64 a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 c (neg.f64 b)) a) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 c) (*.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 c) (*.f64 (*.f64 b 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (neg.f64 c)) (/.f64 -1 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 b) c) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c -2) (*.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 2 b)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 b) (*.f64 a (neg.f64 c))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (neg.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c (neg.f64 b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c (neg.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c (neg.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c (neg.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 c) (neg.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (neg.f64 b) (/.f64 1 c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a 2) (*.f64 (*.f64 a c) (/.f64 -2 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (/.f64 (*.f64 -2 c) b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 c (neg.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c (neg.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c (neg.f64 b))) 1))))))

simplify18.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×fma-def_binary64
sub-neg_binary64
+-commutative_binary64
fma-neg_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06240
110240
217240
323240
429240
537240
645240
755240
863240
977240
Stop Event
saturated
Counts
175 → 118
Calls
Call 1
Inputs
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
Outputs
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
c
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
0.2b
(*.f64 c (*.f64 a -4))
14.2b
(sqrt.f64 (*.f64 c (*.f64 a -4)))
Compiler

Compiled 49 to 30 computations (38.8% saved)

series13.0ms (0.1%)

Counts
3 → 38
Calls

21 calls:

TimeVariablePointExpression
1.0ms
c
@-inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
1.0ms
a
@-inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
1.0ms
a
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
1.0ms
c
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
1.0ms
b
@0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))

rewrite72.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
680×log-prod_binary64
387×fma-def_binary64
334×pow2_binary64
247×pow-unpow_binary64
234×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01336
128434
2396834
Stop Event
node limit
Counts
3 → 95
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 c (*.f64 a -4)))
(*.f64 c (*.f64 a -4))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 c -4) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 c -4) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c -4) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 c 3) (pow.f64 (*.f64 a -4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a -4) 3) (pow.f64 c 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 (*.f64 a -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a -4) 3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c -4) a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 2) (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 1/2) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) a) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) a) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 1) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 1))))))

simplify17.0ms (0.1%)

Algorithm
egg-herbie
Rules
13×*-commutative_binary64
10×fma-def_binary64
associate-*r*_binary64
associate-*l*_binary64
associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017399
130399
252399
364399
466399
567399
Stop Event
saturated
Counts
133 → 101
Calls
Call 1
Inputs
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
Outputs
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(pow.f64 (cbrt.f64 b) 2)
0.6b
(cbrt.f64 b)
4.8b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))
10.8b
(/.f64 (/.f64 -2 (*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))) (*.f64 2 a))
Compiler

Compiled 68 to 33 computations (51.5% saved)

series24.0ms (0.1%)

Counts
4 → 72
Calls

24 calls:

TimeVariablePointExpression
4.0ms
c
@0
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))
3.0ms
b
@-inf
(/.f64 (/.f64 -2 (*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))) (*.f64 2 a))
2.0ms
b
@0
(/.f64 (/.f64 -2 (*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))) (*.f64 2 a))
2.0ms
a
@0
(/.f64 (/.f64 -2 (*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))) (*.f64 2 a))
2.0ms
c
@0
(/.f64 (/.f64 -2 (*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))) (*.f64 2 a))

rewrite97.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
866×log-prod_binary64
359×log-div_binary64
273×expm1-udef_binary64
273×log1p-udef_binary64
230×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
131632
2452032
Stop Event
node limit
Counts
4 → 155
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 (*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))) (*.f64 2 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))
(cbrt.f64 b)
(pow.f64 (cbrt.f64 b) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 -2 b) (*.f64 c a))) (/.f64 1/2 a))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 -2 b) (*.f64 c a))) (/.f64 1/2 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 -2 b) (*.f64 c a))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 -2 b) (*.f64 c a))) (/.f64 1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 -2 b) (*.f64 c a))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (*.f64 (/.f64 1 b) (*.f64 c a)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 2 (*.f64 a (/.f64 b (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (*.f64 (/.f64 1 b) (*.f64 c a)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))) 2) (cbrt.f64 (*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) 2)) (*.f64 (cbrt.f64 (*.f64 (/.f64 -2 b) (*.f64 c a))) (/.f64 1/2 a)))))) (#(struct:change 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simplify28.0ms (0.2%)

Algorithm
egg-herbie
Rules
18×fma-def_binary64
sub-neg_binary64
+-commutative_binary64
*-commutative_binary64
fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09468
116468
224468
330468
436468
544468
652468
762468
874468
996468
Stop Event
saturated
Counts
227 → 157
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))
(/.f64 b (*.f64 c a))

eval310.0ms (1.7%)

Compiler

Compiled 16294 to 9945 computations (39% saved)

prune170.0ms (0.9%)

Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New69915714
Fresh121426
Picked101
Done527
Total71731748
Error
0.3b
Counts
748 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
39.5b
(/.f64 (/.f64 -1 b) (/.f64 1 c))
39.7b
(/.f64 1 (/.f64 (neg.f64 b) c))
46.0b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
46.5b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
47.6b
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
44.2b
(*.f64 (/.f64 (/.f64 -2 b) 2) (expm1.f64 (log1p.f64 c)))
46.3b
(-.f64 (/.f64 c b) (/.f64 b a))
42.3b
(/.f64 (*.f64 (/.f64 c (neg.f64 b)) a) a)
39.4b
(/.f64 (neg.f64 c) b)
46.5b
(*.f64 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))) (/.f64 -1/2 a))
44.1b
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
46.2b
(/.f64 1 (/.f64 (neg.f64 a) b))
57.4b
(+.f64 (*.f64 (/.f64 -1/2 a) b) (sqrt.f64 (*.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (/.f64 1/4 (*.f64 a a)))))
54.9b
0
49.3b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
48.2b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
43.9b
(*.f64 (/.f64 (/.f64 -2 b) 2) (*.f64 (/.f64 c a) a))
46.2b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
49.3b
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a))
42.5b
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a)))
46.0b
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
46.2b
(neg.f64 (/.f64 b a))
44.2b
(pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))) 3)
46.3b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 3)
61.5b
(*.f64 (-.f64 b (cbrt.f64 (+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b)))))) (/.f64 -1/2 a))
39.1b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
46.0b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
48.3b
(*.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
50.0b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
51.6b
(*.f64 (/.f64 (/.f64 -2 b) 2) (sqrt.f64 (*.f64 c c)))
46.8b
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
Compiler

Compiled 862 to 632 computations (26.7% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.0b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
Compiler

Compiled 29 to 9 computations (69% saved)

series7.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite72.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
535×log-prod_binary64
369×pow-prod-down_binary64
313×fma-def_binary64
279×pow2_binary64
211×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
120313
2308213
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 b c) 3))) (fma.f64 (/.f64 b c) (+.f64 (/.f64 a b) (/.f64 b c)) (pow.f64 (/.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 (/.f64 b c) 2))) (+.f64 (/.f64 a b) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 2))))))

simplify89.0ms (0.5%)

Algorithm
egg-herbie
Rules
730×associate-*l/_binary64
699×associate-/r/_binary64
517×unswap-sqr_binary64
493×associate-*r/_binary64
343×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0491091
11511067
25761027
333251023
Stop Event
node limit
Counts
73 → 52
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.6b
(/.f64 1 (/.f64 (neg.f64 a) b))
Compiler

Compiled 18 to 8 computations (55.6% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite53.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
608×pow1_binary64
563×add-log-exp_binary64
563×log1p-expm1-u_binary64
563×expm1-log1p-u_binary64
549×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11484
220634
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (neg.f64 a) b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 a b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 a b)) -1) (pow.f64 (sqrt.f64 (/.f64 a b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 a)) (/.f64 (sqrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) -1) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) -1) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a)))))))

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×fma-def_binary64
sub-neg_binary64
+-commutative_binary64
fma-neg_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06144
110144
217144
323144
429144
537144
645144
755144
863144
977144
Stop Event
saturated
Counts
61 → 38
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.6b
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a)))
6.5b
(*.f64 (/.f64 c (neg.f64 b)) a)
11.1b
(/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a))
Compiler

Compiled 37 to 10 computations (73% saved)

series10.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

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

rewrite116.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
562×log-prod_binary64
437×exp-prod_binary64
326×pow-prod-down_binary64
265×pow-unpow_binary64
248×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01036
121527
2319615
Stop Event
node limit
Counts
3 → 204
Calls
Call 1
Inputs
(/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a))
(*.f64 (/.f64 c (neg.f64 b)) a)
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a)))
Outputs
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egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) -1) (/.f64 (cbrt.f64 c) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) -1) (/.f64 (sqrt.f64 c) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 a)) (*.f64 a (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b c)) -2) (cbrt.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (/.f64 c b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) 1) (*.f64 a (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c b))) 2)) (cbrt.f64 (*.f64 a (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (sqrt.f64 (*.f64 a (/.f64 c b)))) (sqrt.f64 (*.f64 a (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b c) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c b) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c b) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b c)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b c)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 a (/.f64 c b)) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 a (/.f64 c b))) (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 c b))) 2)) (cbrt.f64 (log.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 c b)))) (sqrt.f64 (log.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 c b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a (/.f64 c b)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b c)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 c b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 c b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 c b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 b c)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 b c)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 c b)) 1) 1))))))

simplify51.0ms (0.3%)

Algorithm
egg-herbie
Rules
183×fma-def_binary64
50×fma-neg_binary64
41×sub-neg_binary64
28×div-sub_binary64
22×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012756
127756
251756
386756
4129756
5192756
6255756
7303756
8383756
9514756
10569756
Stop Event
saturated
Counts
312 → 208
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
Outputs
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (neg.f64 c) (/.f64 b a))
(*.f64 (/.f64 c b) (neg.f64 a))
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 c (/.f64 (neg.f64 a) b))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 (/.f64 -2 b) 2) (sqrt.f64 (*.f64 c c)))
31.1b
(sqrt.f64 (*.f64 c c))
Compiler

Compiled 32 to 18 computations (43.8% saved)

series2.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
c
@0
(sqrt.f64 (*.f64 c c))
0.0ms
c
@inf
(sqrt.f64 (*.f64 c c))
0.0ms
c
@-inf
(sqrt.f64 (*.f64 c c))
0.0ms
b
@0
(*.f64 (/.f64 (/.f64 -2 b) 2) (sqrt.f64 (*.f64 c c)))
0.0ms
c
@inf
(*.f64 (/.f64 (/.f64 -2 b) 2) (sqrt.f64 (*.f64 c c)))

rewrite59.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
900×pow1_binary64
836×add-log-exp_binary64
836×log1p-expm1-u_binary64
836×expm1-log1p-u_binary64
818×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01011
12177
224117
Stop Event
node limit
Counts
2 → 44
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 c c))
(*.f64 (/.f64 (/.f64 -2 b) 2) (sqrt.f64 (*.f64 c c)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 c 4))) (sqrt.f64 (pow.f64 (cbrt.f64 c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 c 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 c) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 c) 2)) (fabs.f64 (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c c) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 c 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 c 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 c) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 c) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 c)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 c 3))))) (#(struct:change #<rule egg-rr> (2) ((x . c)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 c))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 c (neg.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 b) (/.f64 2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (*.f64 c (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 -2 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c (/.f64 -2 b))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 c) (*.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 b) c) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c -2) (*.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 2 b)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (neg.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c (neg.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c (neg.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c (neg.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 c (neg.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c (neg.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 (/.f64 -1 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 b) 3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c (neg.f64 b))))))))

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×fma-def_binary64
sub-neg_binary64
+-commutative_binary64
fma-neg_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07156
112156
219156
325156
430156
540156
649156
762156
876156
Stop Event
saturated
Counts
80 → 50
Calls
Call 1
Inputs
c
c
c
c
c
c
c
c
(*.f64 -1 c)
(*.f64 -1 c)
(*.f64 -1 c)
(*.f64 -1 c)
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
Outputs
c
c
c
c
c
c
c
c
(*.f64 -1 c)
(neg.f64 c)
(*.f64 -1 c)
(neg.f64 c)
(*.f64 -1 c)
(neg.f64 c)
(*.f64 -1 c)
(neg.f64 c)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
0.1b
(*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))
0.2b
(sqrt.f64 (*.f64 a -4))
Compiler

Compiled 53 to 31 computations (41.5% saved)

series9.0ms (0%)

Counts
3 → 14
Calls

18 calls:

TimeVariablePointExpression
1.0ms
c
@-inf
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
1.0ms
c
@-inf
(*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))
1.0ms
a
@0
(sqrt.f64 (*.f64 a -4))
1.0ms
a
@inf
(sqrt.f64 (*.f64 a -4))
1.0ms
a
@-inf
(sqrt.f64 (*.f64 a -4))

rewrite75.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
706×log-prod_binary64
348×pow2_binary64
328×fma-def_binary64
258×pow-unpow_binary64
243×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01435
130333
2407333
Stop Event
node limit
Counts
3 → 90
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a -4))
(*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a -4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a -4))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a -4))) (cbrt.f64 (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a -4)) (cbrt.f64 (sqrt.f64 (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 (*.f64 a -4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -4) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a -4) 2))) (sqrt.f64 (cbrt.f64 (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a -4) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a -4) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a -4) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a -4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a -4))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 -4 c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 a (*.f64 -4 c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (/.f64 1/2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (/.f64 1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))) 2) (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))) (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) -2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) a) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) a) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 1) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (*.f64 a -2))) 1))))))

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
10×fma-def_binary64
*-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015231
124231
239231
349231
451231
552231
Stop Event
saturated
Counts
104 → 96
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
Outputs
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))

eval133.0ms (0.7%)

Compiler

Compiled 5560 to 2970 computations (46.6% saved)

prune127.0ms (0.7%)

Pruning

54 alts after pruning (47 fresh and 7 done)

PrunedKeptTotal
New41727444
Fresh42024
Picked011
Done066
Total42154475
Error
0.3b
Counts
475 → 54
Alt Table
Click to see full alt table
StatusErrorProgram
55.2b
(*.f64 (/.f64 1 b) c)
47.6b
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
46.5b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) -1) (/.f64 (cbrt.f64 b) a))
44.2b
(*.f64 (/.f64 (/.f64 -2 b) 2) (expm1.f64 (log1p.f64 c)))
48.1b
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
39.5b
(*.f64 (neg.f64 c) (/.f64 1 b))
56.4b
(pow.f64 (E.f64) (log.f64 (/.f64 c b)))
62.3b
(/.f64 b a)
55.2b
(/.f64 1 (*.f64 b (/.f64 1 c)))
63.3b
(*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))
42.3b
(/.f64 (*.f64 (/.f64 c (neg.f64 b)) a) a)
46.3b
(-.f64 (/.f64 c b) (/.f64 b a))
55.3b
(/.f64 1 (/.f64 a (/.f64 1 (/.f64 (/.f64 b c) a))))
60.9b
(/.f64 1 (exp.f64 (log.f64 (/.f64 b c))))
62.1b
(cbrt.f64 (pow.f64 (/.f64 b a) 3))
61.2b
(-.f64 (+.f64 1 (/.f64 b a)) 1)
50.0b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
39.4b
(/.f64 (neg.f64 c) b)
44.1b
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
46.2b
(/.f64 1 (/.f64 (neg.f64 a) b))
39.4b
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
57.4b
(+.f64 (*.f64 (/.f64 -1/2 a) b) (sqrt.f64 (*.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (/.f64 1/4 (*.f64 a a)))))
55.6b
(/.f64 1 (/.f64 a (exp.f64 (log.f64 (*.f64 a (/.f64 c b))))))
54.9b
0
49.3b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
48.2b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
39.4b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)
43.9b
(*.f64 (/.f64 (/.f64 -2 b) 2) (*.f64 (/.f64 c a) a))
49.3b
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a))
62.3b
(pow.f64 (cbrt.f64 (/.f64 b a)) 3)
42.5b
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a)))
51.0b
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3))
55.5b
(/.f64 1 (/.f64 a (cbrt.f64 (pow.f64 (*.f64 a (/.f64 c b)) 3))))
46.0b
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
55.2b
(/.f64 1 (+.f64 0 (/.f64 b c)))
44.2b
(pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))) 3)
46.2b
(neg.f64 (/.f64 b a))
62.3b
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
55.2b
(/.f64 c b)
55.7b
(expm1.f64 (log1p.f64 (/.f64 c b)))
46.2b
(*.f64 (/.f64 1 a) (neg.f64 b))
39.1b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
46.3b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 3)
61.5b
(*.f64 (-.f64 b (cbrt.f64 (+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b)))))) (/.f64 -1/2 a))
50.9b
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
55.2b
(pow.f64 (cbrt.f64 (/.f64 b c)) -3)
55.3b
(*.f64 (/.f64 a 1) (/.f64 (/.f64 c b) a))
46.0b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
62.3b
(*.f64 (/.f64 1 a) b)
48.3b
(*.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
39.7b
(/.f64 1 (/.f64 (neg.f64 b) c))
46.0b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
51.6b
(*.f64 (/.f64 (/.f64 -2 b) 2) (sqrt.f64 (*.f64 c c)))
46.8b
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
Compiler

Compiled 681 to 500 computations (26.6% saved)

regimes1.9s (10.4%)

Counts
94 → 5
Calls
Call 1
Inputs
0
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1 b) c)
(*.f64 (/.f64 1 a) b)
(*.f64 (neg.f64 c) (/.f64 1 b))
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (*.f64 b (/.f64 1 c)))
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(/.f64 1 (+.f64 0 (/.f64 b c)))
(/.f64 (/.f64 -1 b) (/.f64 1 c))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (*.f64 (/.f64 c (neg.f64 b)) a) a)
(*.f64 (/.f64 a 1) (/.f64 (/.f64 c b) a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a)))
(/.f64 1 (/.f64 a (/.f64 1 (/.f64 (/.f64 b c) a))))
(*.f64 (/.f64 (/.f64 -2 b) 2) (*.f64 (/.f64 c a) a))
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(*.f64 (/.f64 (/.f64 -2 b) 2) (sqrt.f64 (*.f64 c c)))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(*.f64 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))) (/.f64 -1/2 a))
(*.f64 (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))) (/.f64 -1/2 a))
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(expm1.f64 (log1p.f64 (/.f64 c b)))
(cbrt.f64 (pow.f64 (/.f64 b a) 3))
(pow.f64 (cbrt.f64 (/.f64 b a)) 3)
(pow.f64 (cbrt.f64 (/.f64 b c)) -3)
(/.f64 1 (exp.f64 (log.f64 (/.f64 b c))))
(*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))
(*.f64 (/.f64 (/.f64 -2 b) 2) (expm1.f64 (log1p.f64 c)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
(/.f64 1 (/.f64 a (exp.f64 (log.f64 (*.f64 a (/.f64 c b))))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
(/.f64 1 (/.f64 a (cbrt.f64 (pow.f64 (*.f64 a (/.f64 c b)) 3))))
(pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))) 3)
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
(*.f64 (-.f64 b (cbrt.f64 (-.f64 (*.f64 c (*.f64 (*.f64 b a) 6)) (pow.f64 b 3)))) (/.f64 -1/2 a))
(*.f64 (-.f64 b (cbrt.f64 (+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b)))))) (/.f64 -1/2 a))
(+.f64 (*.f64 (/.f64 -1/2 a) b) (*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))
(+.f64 (*.f64 (/.f64 -1/2 a) b) (*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))
(+.f64 (*.f64 (/.f64 -1/2 a) b) (sqrt.f64 (*.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (/.f64 1/4 (*.f64 a a)))))
(pow.f64 (E.f64) (log.f64 (/.f64 c b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) -1) (/.f64 (cbrt.f64 b) a))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 3)
(*.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
(/.f64 (/.f64 -2 (*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
(*.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))) (*.f64 2 a))
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) -4 (*.f64 b b))) (*.f64 (*.f64 a -2) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 (*.f64 a -2) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))
(*.f64 (-.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (/.f64 -1/2 a))
(*.f64 (-.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (*.f64 2 a))
(pow.f64 (pow.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 3) 1/3)
(*.f64 (-.f64 b (fma.f64 -2 (*.f64 (*.f64 (/.f64 c b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) a) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 2))
(*.f64 (fma.f64 (-.f64 (*.f64 b b) (pow.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b) 2)) (/.f64 1 (+.f64 b (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -2 c) (/.f64 a b) b)) 2) (fma.f64 (*.f64 -2 c) (/.f64 a b) b))) (/.f64 -1/2 a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
Calls

5 calls:

790.0ms
c
523.0ms
a
298.0ms
b
132.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
129.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Results
ErrorSegmentsBranch
22.3b8a
9.2b5b
21.4b11c
14.1b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
14.1b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 1238 to 703 computations (43.2% saved)

bsearch359.0ms (2%)

Algorithm
binary-search
Steps
TimeLeftRight
125.0ms
3.578855098262083e-64
2.42839220699169e-55
38.0ms
6.575670088517655e-243
4.6419380103729e-230
37.0ms
-5.313242367827225e-252
-2.6057028874078343e-258
157.0ms
-6089270135047660.0
-1575393226950.9604
Compiler

Compiled 1284 to 935 computations (27.2% saved)

regimes1.1s (5.8%)

Counts
61 → 3
Calls
Call 1
Inputs
0
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1 b) c)
(*.f64 (/.f64 1 a) b)
(*.f64 (neg.f64 c) (/.f64 1 b))
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (*.f64 b (/.f64 1 c)))
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(/.f64 1 (+.f64 0 (/.f64 b c)))
(/.f64 (/.f64 -1 b) (/.f64 1 c))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (*.f64 (/.f64 c (neg.f64 b)) a) a)
(*.f64 (/.f64 a 1) (/.f64 (/.f64 c b) a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a)))
(/.f64 1 (/.f64 a (/.f64 1 (/.f64 (/.f64 b c) a))))
(*.f64 (/.f64 (/.f64 -2 b) 2) (*.f64 (/.f64 c a) a))
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(*.f64 (/.f64 (/.f64 -2 b) 2) (sqrt.f64 (*.f64 c c)))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(*.f64 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))) (/.f64 -1/2 a))
(*.f64 (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))) (/.f64 -1/2 a))
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(expm1.f64 (log1p.f64 (/.f64 c b)))
(cbrt.f64 (pow.f64 (/.f64 b a) 3))
(pow.f64 (cbrt.f64 (/.f64 b a)) 3)
(pow.f64 (cbrt.f64 (/.f64 b c)) -3)
(/.f64 1 (exp.f64 (log.f64 (/.f64 b c))))
(*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))
(*.f64 (/.f64 (/.f64 -2 b) 2) (expm1.f64 (log1p.f64 c)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
(/.f64 1 (/.f64 a (exp.f64 (log.f64 (*.f64 a (/.f64 c b))))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
(/.f64 1 (/.f64 a (cbrt.f64 (pow.f64 (*.f64 a (/.f64 c b)) 3))))
(pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (/.f64 c (/.f64 b a)) a))) 3)
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
Calls

5 calls:

447.0ms
c
349.0ms
a
85.0ms
b
83.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
78.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Results
ErrorSegmentsBranch
27.4b10a
10.6b3b
25.8b11c
14.1b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
14.1b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 609 to 334 computations (45.2% saved)

bsearch281.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
128.0ms
3.578855098262083e-64
2.42839220699169e-55
153.0ms
-6089270135047660.0
-1575393226950.9604
Compiler

Compiled 543 to 384 computations (29.3% saved)

regimes886.0ms (4.8%)

Counts
46 → 3
Calls
Call 1
Inputs
0
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1 b) c)
(*.f64 (/.f64 1 a) b)
(*.f64 (neg.f64 c) (/.f64 1 b))
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (*.f64 b (/.f64 1 c)))
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(/.f64 1 (+.f64 0 (/.f64 b c)))
(/.f64 (/.f64 -1 b) (/.f64 1 c))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (*.f64 (/.f64 c (neg.f64 b)) a) a)
(*.f64 (/.f64 a 1) (/.f64 (/.f64 c b) a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a)))
(/.f64 1 (/.f64 a (/.f64 1 (/.f64 (/.f64 b c) a))))
(*.f64 (/.f64 (/.f64 -2 b) 2) (*.f64 (/.f64 c a) a))
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(*.f64 (/.f64 (/.f64 -2 b) 2) (sqrt.f64 (*.f64 c c)))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(*.f64 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))) (/.f64 -1/2 a))
(*.f64 (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))) (/.f64 -1/2 a))
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

430.0ms
a
332.0ms
c
110.0ms
b
Results
ErrorSegmentsBranch
27.4b10a
10.6b3b
25.7b12c
Compiler

Compiled 424 to 238 computations (43.9% saved)

bsearch393.0ms (2.1%)

Algorithm
binary-search
Steps
TimeLeftRight
122.0ms
3.578855098262083e-64
2.42839220699169e-55
271.0ms
-6089270135047660.0
-1575393226950.9604
Compiler

Compiled 526 to 367 computations (30.2% saved)

regimes600.0ms (3.3%)

Counts
45 → 3
Calls
Call 1
Inputs
0
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1 b) c)
(*.f64 (/.f64 1 a) b)
(*.f64 (neg.f64 c) (/.f64 1 b))
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (*.f64 b (/.f64 1 c)))
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(/.f64 1 (+.f64 0 (/.f64 b c)))
(/.f64 (/.f64 -1 b) (/.f64 1 c))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (*.f64 (/.f64 c (neg.f64 b)) a) a)
(*.f64 (/.f64 a 1) (/.f64 (/.f64 c b) a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a)))
(/.f64 1 (/.f64 a (/.f64 1 (/.f64 (/.f64 b c) a))))
(*.f64 (/.f64 (/.f64 -2 b) 2) (*.f64 (/.f64 c a) a))
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(*.f64 (/.f64 (/.f64 -2 b) 2) (sqrt.f64 (*.f64 c c)))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(*.f64 (fma.f64 b 2 (/.f64 (*.f64 c -2) (/.f64 b a))) (/.f64 -1/2 a))
(*.f64 (fma.f64 b 2 (/.f64 (*.f64 -2 c) (/.f64 b a))) (/.f64 -1/2 a))
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

385.0ms
a
126.0ms
c
76.0ms
b
Results
ErrorSegmentsBranch
32.1b12a
12.1b3b
33.3b5c
Compiler

Compiled 408 to 229 computations (43.9% saved)

bsearch203.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
133.0ms
3.578855098262083e-64
2.42839220699169e-55
70.0ms
-3.503392325488546e-69
-7.529114573712174e-71
Compiler

Compiled 447 to 330 computations (26.2% saved)

regimes414.0ms (2.3%)

Counts
41 → 3
Calls
Call 1
Inputs
0
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1 b) c)
(*.f64 (/.f64 1 a) b)
(*.f64 (neg.f64 c) (/.f64 1 b))
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (*.f64 b (/.f64 1 c)))
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(/.f64 1 (+.f64 0 (/.f64 b c)))
(/.f64 (/.f64 -1 b) (/.f64 1 c))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (*.f64 (/.f64 c (neg.f64 b)) a) a)
(*.f64 (/.f64 a 1) (/.f64 (/.f64 c b) a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a)))
(/.f64 1 (/.f64 a (/.f64 1 (/.f64 (/.f64 b c) a))))
(*.f64 (/.f64 (/.f64 -2 b) 2) (*.f64 (/.f64 c a) a))
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(*.f64 (/.f64 (/.f64 -2 b) 2) (sqrt.f64 (*.f64 c c)))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

237.0ms
a
107.0ms
c
58.0ms
b
Results
ErrorSegmentsBranch
32.1b12a
12.1b3b
33.3b5c
Compiler

Compiled 353 to 198 computations (43.9% saved)

bsearch194.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
129.0ms
3.578855098262083e-64
2.42839220699169e-55
64.0ms
-3.503392325488546e-69
-7.529114573712174e-71
Compiler

Compiled 431 to 314 computations (27.1% saved)

regimes818.0ms (4.5%)

Counts
40 → 3
Calls
Call 1
Inputs
0
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1 b) c)
(*.f64 (/.f64 1 a) b)
(*.f64 (neg.f64 c) (/.f64 1 b))
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (*.f64 b (/.f64 1 c)))
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(/.f64 1 (+.f64 0 (/.f64 b c)))
(/.f64 (/.f64 -1 b) (/.f64 1 c))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (*.f64 (/.f64 c (neg.f64 b)) a) a)
(*.f64 (/.f64 a 1) (/.f64 (/.f64 c b) a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a)))
(/.f64 1 (/.f64 a (/.f64 1 (/.f64 (/.f64 b c) a))))
(*.f64 (/.f64 (/.f64 -2 b) 2) (*.f64 (/.f64 c a) a))
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(*.f64 (/.f64 (/.f64 -2 b) 2) (sqrt.f64 (*.f64 c c)))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

661.0ms
a
91.0ms
c
55.0ms
b
Results
ErrorSegmentsBranch
34.0b8a
12.2b3b
33.5b5c
Compiler

Compiled 341 to 190 computations (44.3% saved)

bsearch275.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
167.0ms
3.578855098262083e-64
2.42839220699169e-55
107.0ms
-3.503392325488546e-69
-7.529114573712174e-71
Compiler

Compiled 431 to 314 computations (27.1% saved)

regimes338.0ms (1.8%)

Counts
39 → 2
Calls
Call 1
Inputs
0
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1 b) c)
(*.f64 (/.f64 1 a) b)
(*.f64 (neg.f64 c) (/.f64 1 b))
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (*.f64 b (/.f64 1 c)))
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(/.f64 1 (+.f64 0 (/.f64 b c)))
(/.f64 (/.f64 -1 b) (/.f64 1 c))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (*.f64 (/.f64 c (neg.f64 b)) a) a)
(*.f64 (/.f64 a 1) (/.f64 (/.f64 c b) a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 (/.f64 c (neg.f64 b)) a)))
(/.f64 1 (/.f64 a (/.f64 1 (/.f64 (/.f64 b c) a))))
(*.f64 (/.f64 (/.f64 -2 b) 2) (*.f64 (/.f64 c a) a))
(*.f64 (/.f64 (/.f64 -2 b) 2) (/.f64 (*.f64 c a) a))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (/.f64 -2 (*.f64 (/.f64 1 c) (/.f64 b a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(*.f64 (/.f64 (/.f64 -2 b) 2) (sqrt.f64 (*.f64 c c)))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
Calls

3 calls:

144.0ms
c
142.0ms
a
41.0ms
b
Results
ErrorSegmentsBranch
35.2b6a
22.9b2b
35.9b5c
Compiler

Compiled 329 to 182 computations (44.7% saved)

bsearch36.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
36.0ms
-7.055550237231443e-266
-4.298158151089885e-274
Compiler

Compiled 242 to 163 computations (32.6% saved)

regimes703.0ms (3.8%)

Counts
24 → 2
Calls
Call 1
Inputs
0
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1 b) c)
(*.f64 (/.f64 1 a) b)
(*.f64 (neg.f64 c) (/.f64 1 b))
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (*.f64 b (/.f64 1 c)))
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(/.f64 1 (+.f64 0 (/.f64 b c)))
(/.f64 (/.f64 -1 b) (/.f64 1 c))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (*.f64 (/.f64 c (neg.f64 b)) a) a)
(*.f64 (/.f64 a 1) (/.f64 (/.f64 c b) a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

587.0ms
c
78.0ms
a
32.0ms
b
Results
ErrorSegmentsBranch
35.6b6a
23.0b2b
34.6b9c
Compiler

Compiled 155 to 82 computations (47.1% saved)

bsearch32.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
32.0ms
-1.7559595417701517e-304
-1.1269570309735567e-307
Compiler

Compiled 178 to 123 computations (30.9% saved)

regimes165.0ms (0.9%)

Counts
16 → 2
Calls
Call 1
Inputs
0
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1 b) c)
(*.f64 (/.f64 1 a) b)
(*.f64 (neg.f64 c) (/.f64 1 b))
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (*.f64 b (/.f64 1 c)))
(-.f64 (+.f64 1 (/.f64 b a)) 1)
(/.f64 1 (+.f64 0 (/.f64 b c)))
(/.f64 (/.f64 -1 b) (/.f64 1 c))
Outputs
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

83.0ms
c
59.0ms
a
19.0ms
b
Results
ErrorSegmentsBranch
35.7b6a
23.0b2b
34.6b9c
Compiler

Compiled 96 to 57 computations (40.6% saved)

bsearch35.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
35.0ms
1.2015892780092275e-278
1.7900162886927156e-272
Compiler

Compiled 170 to 127 computations (25.3% saved)

regimes16.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
0
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
Outputs
(/.f64 (neg.f64 c) b)
Calls

3 calls:

5.0ms
c
5.0ms
a
4.0ms
b
Results
ErrorSegmentsBranch
39.4b1a
39.4b1b
39.4b1c
Compiler

Compiled 30 to 17 computations (43.3% saved)

regimes13.0ms (0.1%)

Accuracy

Total -8.1b remaining (-14.8%)

Threshold costs -8.1b (-14.8%)

Counts
3 → 1
Calls
Call 1
Inputs
0
(/.f64 b a)
(/.f64 c b)
Outputs
0
Calls

3 calls:

5.0ms
c
4.0ms
b
4.0ms
a
Results
ErrorSegmentsBranch
54.9b1a
54.9b1b
54.9b1c
Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify26.0ms (0.1%)

Algorithm
egg-herbie
Rules
21×*-commutative_binary64
20×+-commutative_binary64
15×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087436
1125426
2155426
3175426
4184426
5187426
6188426
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (if (<=.f64 b 811820827772699008/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -8575876330031999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))
(if (<=.f64 b -1454766195646295/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b 3895880284211773/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
0
Outputs
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (if (<=.f64 b 811820827772699008/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 a 2)) (if (<=.f64 b 6342350216974211/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 a 2)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a)))) b) (*.f64 a 2)) (if (<=.f64 b 6342350216974211/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) (*.f64 a 2)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a)))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a)))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -4724570745892973/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -4724570745892973/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -4724570745892973/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 (/.f64 -1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -4724570745892973/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -8575876330031999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))
(if (<=.f64 b -1454766195646295/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b 3895880284211773/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b 3895880284211773/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
0
Compiler

Compiled 320 to 205 computations (35.9% saved)

soundness948.0ms (5.2%)

Algorithm
egg-herbie
Rules
978×times-frac_binary64
978×fma-def_binary64
969×times-frac_binary64
898×fma-def_binary64
852×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01526
13422
26922
316122
425722
541522
673022
7132222
8263222
9391422
10578022
11690922
12775122
13783922
01311270
13841078
212581016
36636985
47966981
01842477
15822367
221172202
01526
13422
26922
316122
425722
541522
673022
7132222
8263222
9391422
10578022
11690922
12775122
13783922
01842486
15702363
220422204
011828
121828
241828
374828
4110828
5129828
6137828
7158828
8244828
9344828
Stop Event
saturated
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 990 to 706 computations (28.7% saved)

end392.0ms (2.1%)

Compiler

Compiled 290 to 135 computations (53.4% saved)

Profiling

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