Details

Time bar (total: 14.1s)

analyze513.0ms (3.6%)

Algorithm
1×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)

sample2.7s (19.1%)

Results
1.0s5559×body256valid
591.0ms1202×body2048valid
367.0ms435×body4096valid
349.0ms678×body1024valid
244.0ms1615×body256invalid
99.0ms382×body512valid

preprocess55.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
531×associate-/l*_binary64
461×fma-neg_binary64
449×div-sub_binary64
428×associate-/r*_binary64
323×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039104
111596
230896
378488
4148288
5283988
6654088
033
Stop Event
1×saturated
1×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 (*.f64 4 a) c)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) a))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -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 (neg.f64 a) (sqrt.f64 (fma.f64 a a (*.f64 (*.f64 b c) -4)))) (*.f64 b 2))
(*.f64 -1/2 (/.f64 (+.f64 a (sqrt.f64 (fma.f64 (*.f64 b c) -4 (*.f64 a a)))) b))
(*.f64 (/.f64 -1/2 b) (+.f64 a (sqrt.f64 (fma.f64 (*.f64 b c) -4 (*.f64 a a)))))
(*.f64 (+.f64 a (sqrt.f64 (fma.f64 a a (*.f64 (*.f64 b c) -4)))) (/.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 (*.f64 4 a) c)))) (*.f64 c 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 c 2))
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) c))
(*.f64 (/.f64 -1/2 c) (+.f64 b (sqrt.f64 (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 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 (neg.f64 c) (sqrt.f64 (fma.f64 c c (*.f64 (*.f64 b a) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 (*.f64 b a) -4 (*.f64 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 -1/2 a) (+.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))))
(*.f64 (+.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) (/.f64 -1/2 a))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify79.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1217×fma-neg_binary64
846×fma-def_binary64
775×div-sub_binary64
405×times-frac_binary64
325×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01526
13824
210024
325922
446022
584022
6179022
7299922
8368222
9474222
10638822
11734322
12746922
13756422
14759622
Stop Event
1×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 (*.f64 4 a) c)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) a))
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))

eval1.0ms (0%)

Compiler

Compiled 35 to 22 computations (37.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
32.4b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.5b
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
▶32.4b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 38 to 26 computations (31.6% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.8b
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
0.7b
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
0.1b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
0.0b
(*.f64 4 (*.f64 a c))
✓0.1b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
✓0.7b
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
✓0.8b
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
✓21.7b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

series29.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
3.0ms
c
@inf
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
2.0ms
b
@0
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
2.0ms
b
@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 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
1.0ms
c
@inf
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

rewrite167.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
751×fma-def_binary64
382×fma-neg_binary64
283×expm1-udef_binary64
283×log1p-udef_binary64
229×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01574
134762
2510759
Stop Event
1×node limit
Counts
4 → 394
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
(-.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 (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 (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 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 4 (*.f64 a c) (*.f64 b b)) (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 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -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 (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 hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))) (#(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 expm1.f64 (log1p.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 (*.f64 b b) (*.f64 (*.f64 a c) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 a c) -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (fma.f64 (*.f64 a c) -4 (fma.f64 (*.f64 a c) -4 (*.f64 4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (fma.f64 (*.f64 a c) -4 (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (fma.f64 (*.f64 (*.f64 a c) -4) 1 (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 4 (*.f64 a c)))) (pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a c))) 2) (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 (fma.f64 (*.f64 a c) -4 (*.f64 4 (*.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (+.f64 (fma.f64 (*.f64 a c) -4 (*.f64 4 (*.f64 a c))) (fma.f64 (*.f64 a c) -4 (*.f64 4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 a c) -4 (*.f64 4 (*.f64 a c))) (fma.f64 b b (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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) ((x *.f64 1 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2))))) (#(struct:change #<rule 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simplify92.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
708×fma-neg_binary64
706×fma-def_binary64
600×associate-*r*_binary64
579×times-frac_binary64
561×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01512214
14622111
215582000
374712000
Stop Event
1×node limit
Counts
490 → 470
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 -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 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 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))) (*.f64 -1 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))) (*.f64 -1 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 -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 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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.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 -1/2 (/.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.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 -1/4 (/.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 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)))))
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)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(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 c b) a (*.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 -2 (/.f64 b (*.f64 c a)))) (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) b))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c)))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 (*.f64 c a) b) (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 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (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 c b) a (*.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) 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 (*.f64 c a) b) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (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))))
(fma.f64 4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))))) b))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(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 c b) a (*.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 -2 (/.f64 b (*.f64 c a)))) (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) b))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c)))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(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 c b) a (*.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 -2 (/.f64 b (*.f64 c a)))) (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) b))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c)))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
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(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.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))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -1/4))))
(fma.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) -1/4)))
(+.f64 (*.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 -1/2 (/.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.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))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -1/4)))))
(+.f64 (fma.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) -1/4))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (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 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.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)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 (*.f64 c (*.f64 c a))) (pow.f64 b 3)) (/.f64 c b))
(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 (-.f64 (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (*.f64 -2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (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))) (-.f64 (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))) (/.f64 c b))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 -2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (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)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (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 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (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 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 c b))) (/.f64 b a))

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
21.7b
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))
0.7b
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))
0.2b
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
0.0b
(fma.f64 a (*.f64 c -4) (*.f64 b b))
✓0.0b
(fma.f64 a (*.f64 c -4) (*.f64 b b))
✓0.2b
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
✓0.7b
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))
✓21.7b
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))

series22.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
5.0ms
b
@0
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))
1.0ms
a
@-inf
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
1.0ms
c
@inf
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))
1.0ms
c
@-inf
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))
1.0ms
a
@0
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))

rewrite88.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
954×prod-diff_binary64
628×log-prod_binary64
328×fma-def_binary64
242×expm1-udef_binary64
242×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01362
127962
2363059
Stop Event
1×node limit
Counts
4 → 164
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
Outputs
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simplify85.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
665×fma-def_binary64
609×fma-neg_binary64
574×associate-*r*_binary64
570×times-frac_binary64
538×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01462203
14402105
214741988
371341952
Stop Event
1×node limit
Counts
260 → 238
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
(+.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 1/2 (*.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))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.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 b (+.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 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 (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 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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.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 -1/2 (/.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.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 -1/4 (/.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 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)))))
(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 -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)))
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)
(fma.f64 -2 (*.f64 a (/.f64 c b)) 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 c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))) 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 (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 c) (/.f64 b a))) (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) b))
(+.f64 (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))) c)) b))
(+.f64 (*.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))) 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 a (/.f64 c b)) 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 c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))) 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 (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 c) (/.f64 b a))) (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) b))
(+.f64 (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))) c)) b))
(+.f64 (*.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))) c)) b))
(*.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 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (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))))))
(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 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 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2))))
(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 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(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 (pow.f64 (*.f64 c 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 (*.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 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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)))))
(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 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
(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 (pow.f64 (*.f64 c 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 a (/.f64 c b)) 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 c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))) 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 (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -2 c) (/.f64 b a))) (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) b))
(+.f64 (*.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))) c)) b))
(+.f64 (*.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))) c)) b))
(*.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 c 2) (/.f64 b 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)))
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))) (neg.f64 b))
(fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))) c)) (neg.f64 b))
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(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (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)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (/.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 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))) (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 a (*.f64 c c)) (pow.f64 b 3)) (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))) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.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 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))) (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 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)))
(+.f64 (-.f64 (/.f64 c b) (/.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 (/.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 a (*.f64 c c)) (pow.f64 b 3)) (+.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 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 c b))) (/.f64 b a))
(*.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 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)))
(+.f64 (-.f64 (/.f64 c b) (/.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 (/.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 a (*.f64 c c)) (pow.f64 b 3)) (+.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 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 c b))) (/.f64 b a))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 a (*.f64 c -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 a (*.f64 c -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 a (*.f64 c -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 a (*.f64 c -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 a (*.f64 c -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c -4)))

eval392.0ms (2.8%)

Compiler

Compiled 19048 to 11060 computations (41.9% saved)

prune143.0ms (1%)

Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New68127708
Fresh000
Picked101
Done011
Total68228710
Error
2.0b
Counts
710 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
46.1b
(*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))) (/.f64 -1/2 a))
43.3b
(/.f64 (neg.f64 b) a)
43.3b
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
44.6b
(*.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) -4 (*.f64 b b))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
45.3b
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
42.4b
(*.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
32.5b
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a))
▶40.2b
(/.f64 (neg.f64 c) b)
53.7b
(pow.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 3) 1/3)
▶33.3b
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)) (*.f64 b (/.f64 -1/2 a)))
30.7b
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 3) (/.f64 -1/2 a))
32.3b
(*.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
36.6b
(/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (*.f64 2 a))
44.0b
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
▶45.3b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
▶44.6b
(/.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 a (*.f64 c -4))))))
44.0b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a))
34.9b
(fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)))
46.7b
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) -4 (*.f64 b b))) -1/2) (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a))
45.4b
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
36.6b
(*.f64 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
▶30.3b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
43.4b
(-.f64 (/.f64 c b) (/.f64 b a))
47.6b
(/.f64 (*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))))) (*.f64 2 a))
55.7b
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
41.5b
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
46.2b
(/.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) (sqrt.f64 a)) (sqrt.f64 a))
✓32.4b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 1012 to 700 computations (30.8% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
11.8b
(sqrt.f64 (*.f64 a (*.f64 c -4)))
0.5b
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
0.2b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
0.1b
(/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
✓0.1b
(/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
✓0.2b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
✓0.5b
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
✓11.8b
(sqrt.f64 (*.f64 a (*.f64 c -4)))

series91.0ms (0.6%)

Counts
4 → 42
Calls

33 calls:

TimeVariablePointExpression
13.0ms
b
@inf
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
12.0ms
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))
6.0ms
a
@inf
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
4.0ms
a
@inf
(/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))

rewrite98.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
797×log-prod_binary64
689×prod-diff_binary64
275×expm1-udef_binary64
275×log1p-udef_binary64
243×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01569
132366
2423066
Stop Event
1×node limit
Counts
4 → 169
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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simplify77.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
806×associate-/r*_binary64
635×unswap-sqr_binary64
418×associate-*l/_binary64
368×associate-*r/_binary64
255×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02171823
16731443
227781382
371681375
Stop Event
1×node limit
Counts
211 → 240
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.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 b (+.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 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 (*.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 2 b)
(*.f64 -1 (/.f64 b a))
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.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 -1/2 (/.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.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 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 -1 (/.f64 a b))
(*.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 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 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 (*.f64 2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 -1 (*.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 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (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 -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))))))
(*.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 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.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 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.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 -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))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 a b))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.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 b (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))))))
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2)))
(+.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 b (+.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))) (+.f64 b (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)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (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))) b))
(fma.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)) (+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2))))
(*.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 (/.f64 c b) (*.f64 a -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 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (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 (/.f64 c b) (*.f64 a -4)))) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c 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 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (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 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 b 2 (*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4))))))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 c -4))))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(*.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2)
(*.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2)
(*.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 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 a 16))) 1/8) (pow.f64 b 3)))
(fma.f64 (*.f64 (*.f64 (/.f64 c b) -4) a) -1/2 (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8))
(+.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 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) -1/16)))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16)))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (fma.f64 (*.f64 (*.f64 (/.f64 c b) -4) a) -1/2 (*.f64 (/.f64 (*.f64 -1/16 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64))))
(+.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 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (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 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
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(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 16)) (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3))) (/.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) (*.f64 a a)) (pow.f64 b 3))) (/.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 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (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 (*.f64 c c) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(+.f64 (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (/.f64 (*.f64 -1/8 (*.f64 (*.f64 (*.f64 c c) 16) (pow.f64 a 3))) (pow.f64 b 5))) (-.f64 (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3)) (/.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) (*.f64 a a)) (pow.f64 b 3))) (-.f64 (*.f64 (/.f64 2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2)) (/.f64 a b)))
(*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(/.f64 (*.f64 4 b) (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))
(*.f64 -1 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (/.f64 a b) (/.f64 (*.f64 4 b) (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (/.f64 (neg.f64 b) c))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.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))))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (/.f64 (*.f64 4 b) (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (*.f64 -1 (/.f64 b c)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (/.f64 (neg.f64 b) c) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(-.f64 (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)) (/.f64 b c))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.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 -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))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (fma.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -2 (/.f64 (fma.f64 -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 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (*.f64 (*.f64 c c) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8))))))) (pow.f64 b 5))))))
(+.f64 (fma.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) 2)) (*.f64 (*.f64 (*.f64 c c) 16) a)) (fma.f64 1/4 (*.f64 c (*.f64 a (*.f64 (*.f64 (*.f64 a a) (*.f64 c -4)) -1/2))) (*.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) 1))) (pow.f64 b 5)) (*.f64 -1 (/.f64 b c))) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 (*.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))) (fma.f64 1/4 (*.f64 a (*.f64 (*.f64 (*.f64 -4 (*.f64 c (*.f64 a a))) -1/2) c)) (*.f64 (pow.f64 a 3) (*.f64 c c)))) (pow.f64 b 5)) (/.f64 (neg.f64 b) c)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (*.f64 -2 (+.f64 (/.f64 (+.f64 (*.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))) (fma.f64 1/4 (*.f64 a (*.f64 (*.f64 (*.f64 -4 (*.f64 c (*.f64 a a))) -1/2) c)) (*.f64 (pow.f64 a 3) (*.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)

localize3.0ms (0%)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
6.3b
(/.f64 (*.f64 c a) b)
3.4b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
0.0b
(*.f64 2 (/.f64 (*.f64 c a) b))
✓0.0b
(*.f64 2 (/.f64 (*.f64 c a) b))
✓3.4b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
✓6.3b
(/.f64 (*.f64 c a) b)

series19.0ms (0.1%)

Counts
3 → 36
Calls

27 calls:

TimeVariablePointExpression
5.0ms
a
@-inf
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
1.0ms
b
@0
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
1.0ms
b
@inf
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
1.0ms
c
@0
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
1.0ms
c
@0
(/.f64 (*.f64 c a) b)

rewrite73.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
807×log-prod_binary64
340×fma-def_binary64
267×pow1/3_binary64
261×expm1-udef_binary64
261×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
128837
2412337
Stop Event
1×node limit
Counts
3 → 122
Calls
Call 1
Inputs
(/.f64 (*.f64 c a) b)
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 2 (/.f64 (*.f64 c a) b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 c (/.f64 b a)))) (cbrt.f64 (exp.f64 (/.f64 c (/.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c (/.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c (/.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 a (pow.f64 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 c (pow.f64 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (pow.f64 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c (/.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b a))) 2) (cbrt.f64 (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (*.f64 (cbrt.f64 (*.f64 c a)) (pow.f64 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c (/.f64 b a))) (sqrt.f64 (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (neg.f64 a)) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -1) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a 1) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) 1) (/.f64 (cbrt.f64 (*.f64 c a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c a)) 1) (/.f64 (sqrt.f64 (*.f64 c a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (*.f64 c a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (*.f64 c a)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 b)) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (*.f64 c a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (*.f64 c a)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 c a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b (*.f64 c a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 c a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 c (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c (/.f64 b a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))) (#(struct:change #<rule 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(*.f64 b -2))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) 2)) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2))) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) 2)) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (/.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 2 (/.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c (/.f64 b a)) (/.f64 c (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c (/.f64 b a))) 2)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c (/.f64 b a))) 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c (/.f64 b a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c (/.f64 b a))) 2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c (/.f64 b a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c (/.f64 b a)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 (*.f64 c a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) 2) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 c a) 2)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 c a) 2) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 c a) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 c a) 2) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c 2) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c (neg.f64 a)) 2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c (neg.f64 a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c (/.f64 b a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c (/.f64 b a)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c (/.f64 b a)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c (/.f64 b a)) 3) 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 (*.f64 c a) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (/.f64 c (/.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 c (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c (/.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c (/.f64 b a)) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c (/.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c (/.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c (/.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c (/.f64 b a)) 2)) 1))))))

simplify54.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
506×fma-def_binary64
266×fma-neg_binary64
114×associate-/l*_binary64
96×cancel-sign-sub-inv_binary64
94×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09368
114314
224314
334314
447314
571314
6119314
7175314
8260314
9410314
10680314
111115314
121647314
132114314
142213314
152217314
162229314
172239314
Stop Event
1×saturated
Counts
158 → 127
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
11.8b
(sqrt.f64 (*.f64 a (*.f64 c -4)))
3.9b
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)) (*.f64 b (/.f64 -1/2 a)))
0.2b
(*.f64 b (/.f64 -1/2 a))
0.2b
(*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
✓0.2b
(*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
✓0.2b
(*.f64 b (/.f64 -1/2 a))
✓3.9b
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)) (*.f64 b (/.f64 -1/2 a)))
11.8b
(sqrt.f64 (*.f64 a (*.f64 c -4)))

series25.0ms (0.2%)

Counts
3 → 52
Calls

24 calls:

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

rewrite85.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
778×log-prod_binary64
454×fma-def_binary64
389×pow2_binary64
270×pow1/3_binary64
269×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
130746
2402546
Stop Event
1×node limit
Counts
3 → 139
Calls
Call 1
Inputs
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)) (*.f64 b (/.f64 -1/2 a)))
(*.f64 b (/.f64 -1/2 a))
(*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
Outputs
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simplify84.0ms (0.6%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01221267
13641087
212241019
36569988
47892984
Stop Event
1×node limit
Counts
191 → 184
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.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 -1/2 (/.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.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 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 -1 (/.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 1/16 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.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 -1/32 (*.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 (*.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 -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))
(+.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 -1/2 (/.f64 b a))
Outputs
(*.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 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.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))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))))))
(fma.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 -1/4 (/.f64 b (/.f64 (sqrt.f64 -4) b)))))
(+.f64 (*.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 -1/2 (/.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.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))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))))))
(+.f64 (fma.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 -1/4 (/.f64 b (/.f64 (sqrt.f64 -4) b))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64))
(+.f64 (*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 (*.f64 1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5)))) (/.f64 b (/.f64 -4 b))))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(fma.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.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))))
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (neg.f64 (/.f64 b a))))
(-.f64 (fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (/.f64 (*.f64 1 c) b)) (/.f64 b a))
(+.f64 (/.f64 c b) (-.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 1 a)) (/.f64 b a)))
(+.f64 (/.f64 c b) (-.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (/.f64 b a)))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (/.f64 c b) (/.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)))))
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 -1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (neg.f64 (/.f64 b a)))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (-.f64 (fma.f64 -1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 -64 a) a)) (/.f64 (*.f64 1 c) b)) (/.f64 b a)))
(-.f64 (+.f64 (/.f64 c b) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a)))) (-.f64 (/.f64 b a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 1 a))))
(+.f64 (/.f64 c b) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a)) (-.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (/.f64 b a))))
(fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a)) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (/.f64 c b) (/.f64 b a))))
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(/.f64 (*.f64 1/4 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) b)
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) 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))))
(fma.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) -1/16))
(fma.f64 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) -1/16 (/.f64 (*.f64 -1 c) b))
(+.f64 (/.f64 (neg.f64 c) b) (/.f64 (*.f64 -1 (*.f64 a (*.f64 c c))) (pow.f64 b 3)))
(+.f64 (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 (*.f64 a (*.f64 c c))) (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)))))
(fma.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)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) 1/32)))
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 -64 a) a)) 1/32) (fma.f64 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) -1/16 (/.f64 (*.f64 -1 c) b)))
(+.f64 (/.f64 (*.f64 -1 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2))))
(+.f64 (/.f64 (neg.f64 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (+.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2))))
(+.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))))))
(fma.f64 -1/4 (/.f64 (fma.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 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4))) 2)) (*.f64 a (pow.f64 b 7))) (fma.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)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) 1/32))))
(fma.f64 -1/4 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (*.f64 a (pow.f64 b 7))) (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 -64 a) a)) 1/32) (fma.f64 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) -1/16 (/.f64 (*.f64 -1 c) b))))
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 -1 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2)))))
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (+.f64 (/.f64 (neg.f64 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2)))))
(*.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 -1/2 (/.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 (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 -1/4 (*.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))))
(fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 -1/2 (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 -1/4 (/.f64 b (/.f64 (sqrt.f64 -4) b)))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64)))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 (*.f64 1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5)))) (/.f64 b (/.f64 -4 b))))))
(+.f64 (*.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 -1/32 (*.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 (*.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))))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/32 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 7))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 -1/32 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 7))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))))))
(fma.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))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64))))
(fma.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))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 (*.f64 1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5)))) (/.f64 b (/.f64 -4 b)))))))
(*.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)))
(fma.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 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 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (fma.f64 -1/2 (/.f64 b a) (/.f64 (*.f64 1 c) b)))
(+.f64 (/.f64 c b) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 1 a))))
(+.f64 (/.f64 c b) (fma.f64 -1/2 (/.f64 b a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3))))
(+.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 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 -1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5))))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 -64 a) a)) (/.f64 (*.f64 1 c) b))))
(+.f64 (/.f64 c b) (+.f64 (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a)))) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 1 a))))
(+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (+.f64 (/.f64 c b) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 2 (*.f64 a a))))))
(*.f64 1/2 (/.f64 b a))
(*.f64 (/.f64 b a) 1/2)
(+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 1/2 (/.f64 b a)))
(fma.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 (/.f64 b a) 1/2))
(fma.f64 (/.f64 b a) 1/2 (/.f64 (*.f64 -1 c) b))
(fma.f64 (/.f64 b a) 1/2 (/.f64 (neg.f64 c) b))
(+.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))))
(fma.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)) (*.f64 (/.f64 b a) 1/2)))
(+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 (/.f64 b a) 1/2 (/.f64 (*.f64 -1/16 (*.f64 c c)) (/.f64 (/.f64 (pow.f64 b 3) a) 16))))
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 (/.f64 b a) 1/2 (/.f64 (*.f64 -1 (*.f64 a (*.f64 c c))) (pow.f64 b 3))))
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 (/.f64 b a) 1/2 (/.f64 (neg.f64 (*.f64 a (*.f64 c c))) (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 (*.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)))))
(fma.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 1/32 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (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)) (*.f64 (/.f64 b a) 1/2))))
(+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 -64 a) a)) 1/32 (fma.f64 (/.f64 b a) 1/2 (/.f64 (*.f64 -1/16 (*.f64 c c)) (/.f64 (/.f64 (pow.f64 b 3) a) 16)))))
(+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2)) (+.f64 (/.f64 (neg.f64 c) b) (fma.f64 (/.f64 b a) 1/2 (/.f64 (*.f64 -1 (*.f64 a (*.f64 c c))) (pow.f64 b 3)))))
(+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (*.f64 a a) -2)) (+.f64 (/.f64 (neg.f64 c) b) (fma.f64 (/.f64 b a) 1/2 (/.f64 (neg.f64 (*.f64 a (*.f64 c c))) (pow.f64 b 3)))))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.7b
(*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) -4 (*.f64 b b))))
0.8b
(fma.f64 (*.f64 a c) -4 (*.f64 b b))
0.4b
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
0.1b
(/.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 a (*.f64 c -4))))))
✓0.8b
(fma.f64 (*.f64 a c) -4 (*.f64 b b))
✓3.7b
(*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) -4 (*.f64 b b))))
11.8b
(sqrt.f64 (*.f64 a (*.f64 c -4)))
✓20.2b
(-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) -4 (*.f64 b b)))

series15.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

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

rewrite85.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
602×log-prod_binary64
596×prod-diff_binary64
335×pow2_binary64
235×fma-def_binary64
234×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
126251
2341351
Stop Event
1×node limit
Counts
3 → 184
Calls
Call 1
Inputs
(-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) -4 (*.f64 b b)))
(*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) -4 (*.f64 b b))))
(fma.f64 (*.f64 a c) -4 (*.f64 b b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (neg.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 (neg.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 (*.f64 a c) -4))) (fma.f64 (neg.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 (*.f64 a c) -4))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2) (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 (*.f64 a c) -4))) (+.f64 (neg.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 (*.f64 a c) -4))) (fma.f64 -1 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 (*.f64 a c) -4))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2)) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 (*.f64 a c) -4))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 (*.f64 a c) -4)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 (*.f64 a c) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 a c) -4) 1) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a c) -4) 3) (pow.f64 b 6)) (+.f64 (pow.f64 (*.f64 (*.f64 a c) -4) 2) (-.f64 (pow.f64 b 4) (*.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a c) -4) 2) (pow.f64 b 4)) (-.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 b) b) (exp.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b b))) (exp.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 a c) -4)) (+.f64 1 (expm1.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b b (*.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))))))

simplify186.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1431×sqr-pow_binary64
743×pow-sqr_binary64
618×cube-prod_binary64
609×fabs-mul_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014798
128744
254744
373744
4102744
5194744
6591744
71456744
81640744
91824744
102032744
112319744
122712744
133190744
143749744
154433744
165268744
175662744
185952744
196230744
206306744
216340744
227281744
Stop Event
1×node limit
Counts
292 → 193
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 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 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(*.f64 -2 c)
(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 -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)))
Outputs
(*.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 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 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(*.f64 -2 c)
(*.f64 c -2)
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c -4) a (*.f64 b b))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))

eval417.0ms (3%)

Compiler

Compiled 22669 to 14161 computations (37.5% saved)

prune162.0ms (1.1%)

Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New79014804
Fresh91322
Picked101
Done325
Total80329832
Error
1.9b
Counts
832 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
46.1b
(*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))) (/.f64 -1/2 a))
43.3b
(/.f64 (neg.f64 b) a)
43.3b
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
▶55.7b
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
40.1b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
32.5b
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a))
43.5b
(/.f64 (+.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) (*.f64 -2 b)) (*.f64 2 a))
40.6b
(/.f64 1 (/.f64 (neg.f64 b) c))
43.4b
(/.f64 1 (/.f64 (neg.f64 a) b))
✓40.2b
(/.f64 (neg.f64 c) b)
32.3b
(*.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
36.6b
(/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (*.f64 2 a))
▶62.0b
(log.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))
44.0b
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
▶44.0b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a))
45.4b
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
34.4b
(/.f64 (*.f64 (/.f64 -1/2 a) (*.f64 4 (*.f64 c a))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
62.0b
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))))
36.6b
(*.f64 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
45.3b
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 c (neg.f64 a)) (/.f64 1 (neg.f64 b)))) (*.f64 -2 b)) (*.f64 2 a))
▶56.0b
(/.f64 c b)
43.5b
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c (/.f64 b a)) 2)) 3) (*.f64 -2 b)) (*.f64 2 a))
43.4b
(-.f64 (/.f64 c b) (/.f64 b a))
47.9b
(/.f64 (fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) -1/2) a (*.f64 a (*.f64 b -1/2))) (*.f64 a a))
✓32.4b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
46.1b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
53.7b
(pow.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 3) 1/3)
▶30.4b
(/.f64 1 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))
32.0b
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
Compiler

Compiled 973 to 697 computations (28.4% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.5b
(+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))
0.2b
(/.f64 1 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))
0.2b
(*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
0.1b
(/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))
✓0.2b
(*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
✓0.2b
(/.f64 1 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))
✓0.5b
(+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))
11.8b
(sqrt.f64 (*.f64 a (*.f64 c -4)))

series25.0ms (0.2%)

Counts
3 → 42
Calls

27 calls:

TimeVariablePointExpression
3.0ms
c
@-inf
(+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))
2.0ms
c
@inf
(*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
2.0ms
b
@0
(*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
1.0ms
a
@inf
(*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
1.0ms
c
@-inf
(*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))

rewrite82.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
759×log-prod_binary64
656×prod-diff_binary64
276×expm1-udef_binary64
276×log1p-udef_binary64
265×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01560
132457
2412057
Stop Event
1×node limit
Counts
3 → 111
Calls
Call 1
Inputs
(+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))
(/.f64 1 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))
(*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 (fma.f64 c (*.f64 -4 a) (*.f64 b b)) (-.f64 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))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 -4 a) (*.f64 b b)) 3/2)) (/.f64 1 (-.f64 (fma.f64 b b (fma.f64 c (*.f64 -4 a) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 -4 a) (*.f64 b b))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 b b (fma.f64 c (*.f64 -4 a) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 -4 a) (*.f64 b b)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 -4 a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 -4 a) (*.f64 b b)) 3/2)) (-.f64 (fma.f64 b b (fma.f64 c (*.f64 -4 a) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 -4 a) (*.f64 b b)) 3/2)) (+.f64 (fma.f64 c (*.f64 -4 a) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 -4 a) (*.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 -4 a) (*.f64 b b)) 3/2))) (neg.f64 (-.f64 (fma.f64 b b (fma.f64 c (*.f64 -4 a) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 -4 a) (*.f64 b b)))) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 c (*.f64 -4 a) (*.f64 b b)) (*.f64 b b)) (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 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 a (*.f64 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 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 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 a (*.f64 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 a (*.f64 c -4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (fma.f64 c (*.f64 -4 a) (*.f64 b b))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 c (*.f64 -4 a) (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (cbrt.f64 (*.f64 b b)) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 b b)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a 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simplify75.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
806×associate-/r*_binary64
635×unswap-sqr_binary64
418×associate-*l/_binary64
368×associate-*r/_binary64
255×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02171823
16731443
227781382
371681375
Stop Event
1×node limit
Counts
153 → 182
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.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 b (+.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 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 (*.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 2 b)
(*.f64 -1 (/.f64 b a))
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.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 -1/2 (/.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.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 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 -1 (/.f64 a b))
(*.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 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 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 (*.f64 2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 -1 (*.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 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (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 -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))))))
(*.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 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.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 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.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 -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))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 a b))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.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 b (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))))))
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2)))
(+.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 b (+.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))) (+.f64 b (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)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (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))) b))
(fma.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)) (+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2))))
(*.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 (/.f64 c b) (*.f64 a -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 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (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 (/.f64 c b) (*.f64 a -4)))) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c 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 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (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 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 b 2 (*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4))))))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 c -4))))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(*.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2)
(*.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2)
(*.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 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 a 16))) 1/8) (pow.f64 b 3)))
(fma.f64 (*.f64 (*.f64 (/.f64 c b) -4) a) -1/2 (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8))
(+.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 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) -1/16)))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16)))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (fma.f64 (*.f64 (*.f64 (/.f64 c b) -4) a) -1/2 (*.f64 (/.f64 (*.f64 -1/16 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64))))
(+.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 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (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 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16 (/.f64 1/2 (/.f64 (pow.f64 b 7) (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) 2)))))))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (fma.f64 (*.f64 (*.f64 (/.f64 c b) -4) a) -1/2 (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (*.f64 (/.f64 (*.f64 -1/16 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.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 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.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))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.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 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b -1/4) (/.f64 (sqrt.f64 -4) b)))))
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(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.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 -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))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (fma.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -2 (/.f64 (fma.f64 -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 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (*.f64 (*.f64 c c) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8))))))) (pow.f64 b 5))))))
(+.f64 (fma.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) 2)) (*.f64 (*.f64 (*.f64 c c) 16) a)) (fma.f64 1/4 (*.f64 c (*.f64 a (*.f64 (*.f64 (*.f64 a a) (*.f64 c -4)) -1/2))) (*.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) 1))) (pow.f64 b 5)) (*.f64 -1 (/.f64 b c))) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 (*.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))) (fma.f64 1/4 (*.f64 a (*.f64 (*.f64 (*.f64 -4 (*.f64 c (*.f64 a a))) -1/2) c)) (*.f64 (pow.f64 a 3) (*.f64 c c)))) (pow.f64 b 5)) (/.f64 (neg.f64 b) c)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (*.f64 -2 (+.f64 (/.f64 (+.f64 (*.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))) (fma.f64 1/4 (*.f64 a (*.f64 (*.f64 (*.f64 -4 (*.f64 c (*.f64 a a))) -1/2) c)) (*.f64 (pow.f64 a 3) (*.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)

localize2.0ms (0%)

localize5.0ms (0%)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
11.8b
(sqrt.f64 (*.f64 -4 (*.f64 c a)))
0.1b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a))
0.0b
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a))))
0.0b
(*.f64 -4 (*.f64 c a))
✓0.0b
(*.f64 -4 (*.f64 c a))
✓0.0b
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a))))
✓0.1b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a))
✓11.8b
(sqrt.f64 (*.f64 -4 (*.f64 c a)))

series17.0ms (0.1%)

Counts
4 → 28
Calls

30 calls:

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

rewrite90.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
738×log-prod_binary64
383×fma-def_binary64
344×pow2_binary64
241×pow1/3_binary64
239×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01350
128846
2415446
Stop Event
1×node limit
Counts
4 → 239
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 -4 (*.f64 c a)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a))))
(*.f64 -4 (*.f64 c a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) (pow.f64 (*.f64 c (*.f64 a -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -4 c) 1/2) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 a -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 b a)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 a -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (/.f64 b a)) (*.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 a -2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 a -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 a -2))) 2) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 2)) (*.f64 (cbrt.f64 (-.f64 b (sqrt.f64 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(sqrt.f64 -4) b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 2)) a) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) a) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 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simplify114.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
946×fma-def_binary64
652×fma-neg_binary64
270×div-sub_binary64
267×associate-*r*_binary64
200×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021400
144373
289355
3120355
4174355
5245355
6462355
7986355
81709355
92351355
102433355
112579355
122791355
133144355
143875355
154438355
164977355
175071355
185183355
195237355
205249355
215249355
Stop Event
1×saturated
Counts
267 → 251
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.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 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 b)
(*.f64 -1 b)
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 (sqrt.f64 -4) (*.f64 -1/2 (sqrt.f64 (/.f64 c a))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(*.f64 (sqrt.f64 -4) (neg.f64 (sqrt.f64 (*.f64 c a))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
4.0b
(log.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))
3.6b
(/.f64 c (/.f64 b a))
3.6b
(*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))
0.0b
(exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)))
✓0.0b
(exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)))
✓3.6b
(*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))
✓3.6b
(/.f64 c (/.f64 b a))
✓4.0b
(log.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))

series22.0ms (0.2%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
7.0ms
b
@inf
(log.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))
1.0ms
b
@-inf
(log.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))
1.0ms
c
@0
(log.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))
1.0ms
c
@0
(exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)))
1.0ms
a
@inf
(exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)))

rewrite93.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
737×log-prod_binary64
374×pow2_binary64
274×pow-unpow_binary64
264×pow1/3_binary64
260×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01569
130569
2380269
Stop Event
1×node limit
Counts
4 → 232
Calls
Call 1
Inputs
(log.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))
(/.f64 c (/.f64 b a))
(*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))
(exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))) (*.f64 1/2 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))) (*.f64 2 (*.f64 1/3 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a)))) (*.f64 1/3 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 a (/.f64 c b)) 2) (/.f64 1/2 a)) (*.f64 (*.f64 b -2) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 a) (*.f64 (*.f64 a (/.f64 c b)) 2)) (*.f64 (/.f64 1/2 a) (*.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 a) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))) 2) (cbrt.f64 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 a)) (log.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) 2)) (*.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 a 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(/.f64 c b)) 2)) (sqrt.f64 (/.f64 1/2 a)))) (sqrt.f64 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (*.f64 (/.f64 1/2 a) (cbrt.f64 (pow.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) 2)))) (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (*.f64 (/.f64 1/2 a) (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))))) (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)))) 1) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)))) (pow.f64 (cbrt.f64 (/.f64 1 a)) 2)) (cbrt.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)))) (sqrt.f64 (/.f64 1 a))) (sqrt.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)) 1) (cbrt.f64 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))) (sqrt.f64 (/.f64 1/2 a))) 1) (sqrt.f64 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))) (sqrt.f64 (/.f64 1/2 a))) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))) (sqrt.f64 (/.f64 1/2 a))) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))) (sqrt.f64 (/.f64 1/2 a))) (sqrt.f64 (sqrt.f64 (/.f64 1/2 a)))) (sqrt.f64 (sqrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))) (sqrt.f64 (/.f64 1/2 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)))))))))

simplify81.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
779×fma-def_binary64
758×unswap-sqr_binary64
578×cancel-sign-sub-inv_binary64
577×associate-/l/_binary64
554×associate-/r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0581937
11611817
24801746
323101551
459771547
Stop Event
1×node limit
Counts
376 → 220
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.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 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(exp.f64 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 c (exp.f64 (*.f64 -1 (/.f64 b a)))) b) (exp.f64 (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 c (exp.f64 (*.f64 -1 (/.f64 b a)))) b) (+.f64 (exp.f64 (*.f64 -1 (/.f64 b a))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (exp.f64 (*.f64 -1 (/.f64 b a)))) (pow.f64 b 2)))))
(+.f64 (/.f64 (*.f64 c (exp.f64 (*.f64 -1 (/.f64 b a)))) b) (+.f64 (exp.f64 (*.f64 -1 (/.f64 b a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 c 3) (exp.f64 (*.f64 -1 (/.f64 b a)))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (exp.f64 (*.f64 -1 (/.f64 b a)))) (pow.f64 b 2))))))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (*.f64 1/2 (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) 2 (*.f64 -2 b)) a)))
(exp.f64 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (/.f64 c b))) a)) (exp.f64 (/.f64 c b)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (/.f64 c b))) (pow.f64 a 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (/.f64 c b))) a)) (exp.f64 (/.f64 c b))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (/.f64 c b))) (pow.f64 a 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (/.f64 c b))) a)) (+.f64 (exp.f64 (/.f64 c b)) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 (/.f64 c b))) (pow.f64 a 3))))))
(exp.f64 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (/.f64 c b))) a)) (exp.f64 (/.f64 c b)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (/.f64 c b))) (pow.f64 a 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (/.f64 c b))) a)) (exp.f64 (/.f64 c b))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (/.f64 c b))) (pow.f64 a 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (/.f64 c b))) a)) (+.f64 (exp.f64 (/.f64 c b)) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 (/.f64 c b))) (pow.f64 a 3))))))
Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
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(+.f64 (exp.f64 (/.f64 c b)) (*.f64 (/.f64 (exp.f64 (/.f64 c b)) a) (-.f64 (*.f64 1/2 (*.f64 (/.f64 b a) b)) b)))
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(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (/.f64 c b))) (pow.f64 a 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (/.f64 c b))) a)) (+.f64 (exp.f64 (/.f64 c b)) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 (/.f64 c b))) (pow.f64 a 3))))))
(fma.f64 1/2 (/.f64 (*.f64 b b) (/.f64 (*.f64 a a) (exp.f64 (/.f64 c b)))) (+.f64 (fma.f64 -1 (/.f64 (*.f64 b (exp.f64 (/.f64 c b))) a) (exp.f64 (/.f64 c b))) (*.f64 -1/6 (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 a 3) (exp.f64 (/.f64 c b)))))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (exp.f64 (/.f64 c b))) (-.f64 (fma.f64 -1/6 (/.f64 (exp.f64 (/.f64 c b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (exp.f64 (/.f64 c b))) (*.f64 (/.f64 b a) (exp.f64 (/.f64 c b)))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 b a) (*.f64 (/.f64 b a) (exp.f64 (/.f64 c b)))) (fma.f64 -1/6 (*.f64 (exp.f64 (/.f64 c b)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (exp.f64 (/.f64 c b)))) (*.f64 (/.f64 b a) (exp.f64 (/.f64 c b))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (/.f64 b a) 3)) 1) (exp.f64 (/.f64 c b))) (*.f64 (/.f64 (exp.f64 (/.f64 c b)) a) (-.f64 (*.f64 1/2 (*.f64 (/.f64 b a) b)) b)))
(fma.f64 (+.f64 (*.f64 -1/6 (pow.f64 (/.f64 b a) 3)) 1) (exp.f64 (/.f64 c b)) (*.f64 (/.f64 (exp.f64 (/.f64 c b)) a) (fma.f64 1/2 (/.f64 (*.f64 b b) a) (neg.f64 b))))

eval311.0ms (2.2%)

Compiler

Compiled 16071 to 10514 computations (34.6% saved)

prune125.0ms (0.9%)

Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New66914683
Fresh111122
Picked101
Done066
Total68131712
Error
1.9b
Counts
712 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
43.4b
(/.f64 1 (/.f64 (neg.f64 a) b))
43.3b
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
40.6b
(/.f64 1 (/.f64 (neg.f64 b) c))
46.0b
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))))))
62.7b
(log.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))))))))
✓55.7b
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
▶52.1b
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 2 a))
43.5b
(/.f64 (+.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) (*.f64 -2 b)) (*.f64 2 a))
45.9b
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a))
32.5b
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a))
✓40.2b
(/.f64 (neg.f64 c) b)
58.9b
(*.f64 -1/2 (/.f64 b a))
36.6b
(/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (*.f64 2 a))
▶44.0b
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
✓44.0b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a))
43.6b
(*.f64 3 (*.f64 1/3 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))))
43.4b
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 b 2))))
✓30.4b
(/.f64 1 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))
▶43.3b
(/.f64 (neg.f64 b) a)
56.4b
(log.f64 (exp.f64 (/.f64 c b)))
45.4b
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
34.4b
(/.f64 (*.f64 (/.f64 -1/2 a) (*.f64 4 (*.f64 c a))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
36.6b
(*.f64 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
45.3b
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 c (neg.f64 a)) (/.f64 1 (neg.f64 b)))) (*.f64 -2 b)) (*.f64 2 a))
✓56.0b
(/.f64 c b)
▶40.1b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
43.4b
(-.f64 (/.f64 c b) (/.f64 b a))
47.9b
(/.f64 (fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) -1/2) a (*.f64 a (*.f64 b -1/2))) (*.f64 a a))
✓32.4b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
61.7b
(log.f64 (*.f64 (exp.f64 (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) 1)))
▶32.0b
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
Compiler

Compiled 889 to 647 computations (27.2% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
11.8b
(sqrt.f64 (*.f64 a (*.f64 c -4)))
0.4b
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
0.1b
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
✓0.1b
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
✓0.4b
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
11.8b
(sqrt.f64 (*.f64 a (*.f64 c -4)))

series65.0ms (0.5%)

Counts
2 → 24
Calls

18 calls:

TimeVariablePointExpression
19.0ms
c
@0
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
10.0ms
c
@inf
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
7.0ms
c
@-inf
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
6.0ms
a
@-inf
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
4.0ms
a
@inf
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))

rewrite77.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
730×log-prod_binary64
593×prod-diff_binary64
251×expm1-udef_binary64
251×log1p-udef_binary64
240×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01336
128336
2376336
Stop Event
1×node limit
Counts
2 → 142
Calls
Call 1
Inputs
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
Outputs
((#(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 b b (*.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))))) (+.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 b b (*.f64 a (*.f64 c -4))))) (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 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (cbrt.f64 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 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))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 2)) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (sqrt.f64 (-.f64 b (hypot.f64 b 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(*.f64 a (*.f64 c -4))))) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2)) (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (fma.f64 b b (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2))) (neg.f64 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (fma.f64 b b (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4))))) (neg.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) 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(sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (fma.f64 b b (*.f64 a (*.f64 c -4))))) (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) 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(hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (*.f64 c -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (*.f64 c c))) 1) (/.f64 (cbrt.f64 (*.f64 c -2)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c -2)) 1) (/.f64 (sqrt.f64 (*.f64 c -2)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 2))) (/.f64 -2 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 2))) (/.f64 c (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 2))) (/.f64 (*.f64 c -2) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (*.f64 c c))) (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 2))) (cbrt.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c -2)) (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 2))) (/.f64 (sqrt.f64 (*.f64 c -2)) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -2 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 c (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 (*.f64 c -2) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (*.f64 c c))) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 (cbrt.f64 (*.f64 c -2)) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c -2) (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2))) (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (fma.f64 b b (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c -2) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4))))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 c -2) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 c -2) 3) (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)) 1))))))

simplify60.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
774×fma-def_binary64
761×associate-/l*_binary64
629×associate-/r*_binary64
551×*-commutative_binary64
288×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01641240
1512979
22132932
37723928
Stop Event
1×node limit
Counts
166 → 190
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 2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))))) (+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))))))
(*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 c b))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 c b)))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (/.f64 c b) (*.f64 2 (/.f64 (+.f64 (*.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 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 -1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/128 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/32 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (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)
(fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (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 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b))
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (*.f64 b 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 -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)))
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(fma.f64 -1 (/.f64 c b) (*.f64 1/4 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) -4) a))) (/.f64 c b))
(-.f64 (*.f64 1/4 (/.f64 -4 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 c a))))) (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 c b) (fma.f64 1/4 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 a 16)) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 1/4 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) -4) a)))) (/.f64 c b))
(fma.f64 -1/8 (*.f64 (*.f64 a (*.f64 a 16)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (*.f64 1/4 (/.f64 -4 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 c a))))) (/.f64 c b)))
(fma.f64 1/4 (/.f64 -4 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 c a)))) (fma.f64 (/.f64 -1/8 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a 16))) (/.f64 (neg.f64 c) b)))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/128 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/32 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(fma.f64 2 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 c 4)) 5/128) (pow.f64 b 7)) (fma.f64 -1 (/.f64 c b) (fma.f64 1/4 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a))))))))
(fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) -5/2) (pow.f64 b 7)) (-.f64 (fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 a 16)) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 1/4 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) -4) a)))) (/.f64 c b)))
(fma.f64 2 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (/.f64 (pow.f64 b 7) -5/2)) (fma.f64 -1/8 (*.f64 (*.f64 a (*.f64 a 16)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (*.f64 1/4 (/.f64 -4 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 c a))))) (/.f64 c b))))
(fma.f64 2 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (/.f64 (pow.f64 b 7) -5/2)) (fma.f64 1/4 (/.f64 -4 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 c a)))) (fma.f64 (/.f64 -1/8 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a 16))) (/.f64 (neg.f64 c) b))))

localize3.0ms (0%)

localize5.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
0.0b
(-.f64 (/.f64 a b) (/.f64 b c))
✓0.0b
(-.f64 (/.f64 a b) (/.f64 b c))
✓0.6b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))

series9.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
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
@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 (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
536×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
0923
120323
2307823
Stop Event
1×node limit
Counts
2 → 192
Calls
Call 1
Inputs
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(-.f64 (/.f64 a b) (/.f64 b c))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a b) (/.f64 (neg.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a b) (*.f64 (/.f64 (neg.f64 b) c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (fma.f64 (/.f64 (neg.f64 b) c) 1 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (fma.f64 (neg.f64 (/.f64 1 c)) b (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b c))) (cbrt.f64 (pow.f64 (/.f64 c b) -2)) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 a b) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 b) c) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 a 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(neg.f64 (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 c b) -3))) (neg.f64 (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 (neg.f64 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 (/.f64 c b) -2))) (neg.f64 (+.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 c b) (*.f64 (/.f64 b a) 1)) (*.f64 (/.f64 b a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a (/.f64 c b)) b) (*.f64 b (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c b)) (*.f64 (neg.f64 b) 1)) (*.f64 (neg.f64 b) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 a) c) (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 b) c))))) 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(cbrt.f64 b) 2)) (cbrt.f64 (/.f64 a b)) (*.f64 (/.f64 (neg.f64 b) c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 b)) (/.f64 (neg.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (sqrt.f64 b)) (/.f64 (cbrt.f64 a) (sqrt.f64 b)) (/.f64 (neg.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (sqrt.f64 b)) (/.f64 (cbrt.f64 a) (sqrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (-.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (fma.f64 (/.f64 (neg.f64 b) c) 1 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (-.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (fma.f64 (neg.f64 (/.f64 1 c)) b (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (-.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b c))) (cbrt.f64 (pow.f64 (/.f64 c b) -2)) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (-.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 c b) -2))) (cbrt.f64 (/.f64 b c)) (/.f64 a b))))))

simplify54.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
740×associate-*l/_binary64
701×associate-/r/_binary64
517×unswap-sqr_binary64
496×associate-*r/_binary64
345×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0531459
11601381
25911341
333451337
Stop Event
1×node limit
Counts
264 → 212
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))))))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
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)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 (/.f64 c b) (-.f64 -1 (/.f64 (*.f64 c a) (*.f64 b 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)))))
(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 c) b) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 (*.f64 c c) (/.f64 (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))))
(+.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 (pow.f64 c 4)) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (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 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))))
(-.f64 (*.f64 (*.f64 a a) (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(/.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 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (/.f64 (pow.f64 b 5) (*.f64 c c)) (pow.f64 a 3))))
(+.f64 (/.f64 b a) (+.f64 (/.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 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))) (/.f64 (/.f64 (pow.f64 b 5) (*.f64 c c)) (pow.f64 a 3)))))
(+.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 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (/.f64 (pow.f64 b 7) (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 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (/.f64 (pow.f64 b 5) (*.f64 c c)) (pow.f64 a 3))))
(+.f64 (/.f64 b a) (+.f64 (/.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 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))) (/.f64 (/.f64 (pow.f64 b 5) (*.f64 c c)) (pow.f64 a 3)))))
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(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
11.8b
(sqrt.f64 (*.f64 a (*.f64 c -4)))
0.2b
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
0.0b
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))
✓0.0b
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))
✓0.2b
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
11.8b
(sqrt.f64 (*.f64 a (*.f64 c -4)))

series8.0ms (0.1%)

Counts
2 → 28
Calls

18 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
1.0ms
c
@inf
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))
0.0ms
a
@inf
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))
0.0ms
c
@-inf
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))
0.0ms
a
@-inf
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))

rewrite63.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
634×log-prod_binary64
457×pow-prod-down_binary64
362×fma-def_binary64
331×pow2_binary64
232×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01230
126130
2346830
Stop Event
1×node limit
Counts
2 → 103
Calls
Call 1
Inputs
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 (*.f64 a (*.f64 c -4)) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) (sqrt.f64 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((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 c -4)) 3/2)) (fma.f64 a (*.f64 c -4) (-.f64 (*.f64 b b) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 c -4)) 3/2))) (neg.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 c -4)) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/6) (cbrt.f64 (*.f64 a (*.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) (pow.f64 (*.f64 a (*.f64 c -4)) 1/6) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))

simplify18.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×fma-def_binary64
11×*-commutative_binary64
3×+-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019345
133345
252327
364327
466327
567327
Stop Event
1×saturated
Counts
131 → 114
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
b
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
b
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
b
b
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 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
b
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
b
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
b
b

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))
0.0b
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 2 a))
✓0.0b
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 2 a))
✓0.1b
(*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))

series7.0ms (0.1%)

Counts
2 → 14
Calls

15 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 2 a))
1.0ms
a
@-inf
(*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))
1.0ms
c
@0
(*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))
0.0ms
a
@inf
(*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))
0.0ms
a
@inf
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 2 a))

rewrite68.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
783×log-prod_binary64
286×fma-def_binary64
252×pow1/3_binary64
251×expm1-udef_binary64
251×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01429
131027
2437727
Stop Event
1×node limit
Counts
2 → 87
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (*.f64 -4 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 -4 c) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 -4 c) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 1/2 a)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (/.f64 1/2 a))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (/.f64 1/2 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (/.f64 1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b (/.f64 1/2 a)) (*.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) (/.f64 1/2 a)))))) (#(struct:change 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(sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) 2) a) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) a) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) 2) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) 2) 2) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) 1) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) 2) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1/2 a) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (/.f64 1/2 a)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 b a) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 b (/.f64 1/2 a)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 b (/.f64 1/2 a))) (cbrt.f64 (*.f64 b (/.f64 1/2 a)))) (cbrt.f64 (*.f64 b (/.f64 1/2 a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b (/.f64 1/2 a))) (sqrt.f64 (*.f64 b (/.f64 1/2 a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) (/.f64 b 2) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 b (cbrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 b (sqrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
12×fma-def_binary64
9×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014222
125222
243204
355204
457204
558204
Stop Event
1×saturated
Counts
101 → 92
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.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 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))

eval265.0ms (1.9%)

Compiler

Compiled 14522 to 8588 computations (40.9% saved)

prune124.0ms (0.9%)

Pruning

44 alts after pruning (35 fresh and 9 done)

PrunedKeptTotal
New64820668
Fresh51520
Picked011
Done2810
Total65544699
Error
1.8b
Counts
699 → 44
Alt Table
Click to see full alt table
StatusErrorProgram
43.4b
(/.f64 1 (/.f64 (neg.f64 a) b))
43.3b
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
46.0b
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))))))
47.8b
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))
62.7b
(log.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))))))))
51.6b
(/.f64 1 (exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1/3)))
32.0b
(*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)
40.6b
(/.f64 1 (/.f64 (neg.f64 b) c))
32.6b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)) 3)
✓52.1b
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 2 a))
43.5b
(/.f64 (+.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) (*.f64 -2 b)) (*.f64 2 a))
45.9b
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a))
32.5b
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a))
43.4b
(-.f64 (/.f64 c b) (/.f64 b a))
47.1b
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
✓40.2b
(/.f64 (neg.f64 c) b)
52.0b
(/.f64 1 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)))
47.2b
(/.f64 1 (/.f64 1 (/.f64 (*.f64 b c) (-.f64 (*.f64 a c) (*.f64 b b)))))
52.1b
(*.f64 (+.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) (/.f64 -1/2 a))
40.2b
(/.f64 1 (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) (*.f64 b (/.f64 c b))))
36.6b
(/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (*.f64 2 a))
✓44.0b
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
✓44.0b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a))
43.6b
(*.f64 3 (*.f64 1/3 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))))
43.4b
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 b 2))))
✓43.3b
(/.f64 (neg.f64 b) a)
48.8b
(/.f64 1 (/.f64 (-.f64 (/.f64 c b) (*.f64 (/.f64 b a) 1)) (*.f64 (/.f64 b a) (/.f64 c b))))
56.4b
(log.f64 (exp.f64 (/.f64 c b)))
✓32.0b
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
40.4b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)
45.1b
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
45.4b
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
36.6b
(*.f64 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
46.2b
(/.f64 (*.f64 -2 c) (/.f64 -1/2 (/.f64 (/.f64 (/.f64 b -4) a) c)))
45.3b
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 c (neg.f64 a)) (/.f64 1 (neg.f64 b)))) (*.f64 -2 b)) (*.f64 2 a))
✓56.0b
(/.f64 c b)
✓40.1b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
46.0b
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) c))
62.3b
(/.f64 b a)
✓32.4b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
61.7b
(log.f64 (*.f64 (exp.f64 (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) 1)))
51.4b
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
62.3b
(/.f64 1 (/.f64 a b))
47.3b
(/.f64 (*.f64 -1/2 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) (*.f64 a (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
Compiler

Compiled 702 to 496 computations (29.3% saved)

regimes866.0ms (6.1%)

Counts
77 → 4
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(/.f64 1 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 b 2))))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (*.f64 -2 c) (/.f64 -1/2 (/.f64 (/.f64 (/.f64 b -4) a) c)))
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) c))
(/.f64 1 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)))
(/.f64 1 (/.f64 1 (/.f64 (*.f64 b c) (-.f64 (*.f64 a c) (*.f64 b b)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) (*.f64 b (/.f64 c b))))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))))))
(/.f64 (+.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(/.f64 1 (/.f64 (-.f64 (/.f64 c b) (*.f64 (/.f64 b a) 1)) (*.f64 (/.f64 b a) (/.f64 c b))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 c (neg.f64 a)) (/.f64 1 (neg.f64 b)))) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(*.f64 3 (*.f64 1/3 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))))
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
(/.f64 (*.f64 -1/2 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) (*.f64 a (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(log.f64 (exp.f64 (/.f64 c b)))
(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)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) 1)))
(*.f64 (+.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) (/.f64 -1/2 a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 2 a))
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(/.f64 1 (exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1/3)))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
(/.f64 1 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c (/.f64 b a)) 2)) 3) (*.f64 -2 b)) (*.f64 2 a))
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)) (*.f64 b (/.f64 -1/2 a)))
(/.f64 (*.f64 (/.f64 -1/2 a) (*.f64 4 (*.f64 c a))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(/.f64 (*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))))) (*.f64 2 a))
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))
(*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))) (/.f64 -1/2 a))
(log.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 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 (*.f64 a c) -4 (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
(fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)))
(/.f64 (fma.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) -1/2) a (*.f64 a (*.f64 b -1/2))) (*.f64 a 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 a (*.f64 c -4))))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) -4 (*.f64 b b))) -1/2) (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a))
(*.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) -4 (*.f64 b b))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
(*.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 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))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)) 3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 3) (/.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 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) (sqrt.f64 a)) (sqrt.f64 a))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (*.f64 b -2)) (/.f64 1/2 a))))))
(log.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2))))))))
Outputs
(/.f64 (neg.f64 c) b)
(/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

4 calls:

339.0ms
a
233.0ms
c
142.0ms
b
119.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Results
ErrorSegmentsBranch
22.3b9a
4.9b4b
23.6b6c
12.2b5(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 1138 to 635 computations (44.2% saved)

bsearch194.0ms (1.4%)

Algorithm
3×binary-search
Steps
TimeLeftRight
55.0ms
1.3265984005602432e+57
3.8552921016352645e+57
16.0ms
-3.8223378870844424e-260
-1.2256906832202602e-260
122.0ms
-1.0125825494783605e-54
-7.062962560189125e-57
Compiler

Compiled 563 to 402 computations (28.6% saved)

regimes653.0ms (4.6%)

Counts
49 → 4
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(/.f64 1 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 b 2))))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (*.f64 -2 c) (/.f64 -1/2 (/.f64 (/.f64 (/.f64 b -4) a) c)))
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) c))
(/.f64 1 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)))
(/.f64 1 (/.f64 1 (/.f64 (*.f64 b c) (-.f64 (*.f64 a c) (*.f64 b b)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) (*.f64 b (/.f64 c b))))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))))))
(/.f64 (+.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(/.f64 1 (/.f64 (-.f64 (/.f64 c b) (*.f64 (/.f64 b a) 1)) (*.f64 (/.f64 b a) (/.f64 c b))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 c (neg.f64 a)) (/.f64 1 (neg.f64 b)))) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(*.f64 3 (*.f64 1/3 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))))
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
(/.f64 (*.f64 -1/2 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) (*.f64 a (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(log.f64 (exp.f64 (/.f64 c b)))
(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)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) 1)))
(*.f64 (+.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) (/.f64 -1/2 a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 2 a))
Outputs
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

4 calls:

277.0ms
a
201.0ms
c
94.0ms
b
65.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Results
ErrorSegmentsBranch
22.9b13a
4.9b4b
25.0b8c
12.2b5(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 572 to 294 computations (48.6% saved)

bsearch186.0ms (1.3%)

Algorithm
3×binary-search
Steps
TimeLeftRight
52.0ms
1.3265984005602432e+57
3.8552921016352645e+57
16.0ms
-3.8223378870844424e-260
-1.2256906832202602e-260
117.0ms
-1.0125825494783605e-54
-7.062962560189125e-57
Compiler

Compiled 563 to 402 computations (28.6% saved)

regimes500.0ms (3.5%)

Counts
47 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(/.f64 1 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 b 2))))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (*.f64 -2 c) (/.f64 -1/2 (/.f64 (/.f64 (/.f64 b -4) a) c)))
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) c))
(/.f64 1 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)))
(/.f64 1 (/.f64 1 (/.f64 (*.f64 b c) (-.f64 (*.f64 a c) (*.f64 b b)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) (*.f64 b (/.f64 c b))))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))))))
(/.f64 (+.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(/.f64 1 (/.f64 (-.f64 (/.f64 c b) (*.f64 (/.f64 b a) 1)) (*.f64 (/.f64 b a) (/.f64 c b))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 c (neg.f64 a)) (/.f64 1 (neg.f64 b)))) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(*.f64 3 (*.f64 1/3 (*.f64 (fma.f64 b -2 (*.f64 (*.f64 a (/.f64 c b)) 2)) (/.f64 1/2 a))))
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
(/.f64 (*.f64 -1/2 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))) (*.f64 a (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(log.f64 (exp.f64 (/.f64 c b)))
(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)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) 1)))
(*.f64 (+.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) (/.f64 -1/2 a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
Outputs
(/.f64 (neg.f64 c) b)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

4 calls:

180.0ms
c
168.0ms
a
70.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
67.0ms
b
Results
ErrorSegmentsBranch
25.9b7a
6.0b3b
27.3b9c
12.2b5(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 544 to 277 computations (49.1% saved)

bsearch162.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
52.0ms
1.3265984005602432e+57
3.8552921016352645e+57
109.0ms
-9.781339097949783e-72
-2.45596585927509e-74
Compiler

Compiled 418 to 297 computations (28.9% saved)

regimes246.0ms (1.7%)

Counts
37 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(/.f64 1 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 b 2))))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (*.f64 -2 c) (/.f64 -1/2 (/.f64 (/.f64 (/.f64 b -4) a) c)))
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) c))
(/.f64 1 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)))
(/.f64 1 (/.f64 1 (/.f64 (*.f64 b c) (-.f64 (*.f64 a c) (*.f64 b b)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) (*.f64 b (/.f64 c b))))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))))))
(/.f64 (+.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(/.f64 1 (/.f64 (-.f64 (/.f64 c b) (*.f64 (/.f64 b a) 1)) (*.f64 (/.f64 b a) (/.f64 c b))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 c (neg.f64 a)) (/.f64 1 (neg.f64 b)))) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a))
Outputs
(/.f64 (neg.f64 c) b)
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

3 calls:

108.0ms
c
79.0ms
a
48.0ms
b
Results
ErrorSegmentsBranch
27.1b5a
6.0b3b
28.6b7c
Compiler

Compiled 382 to 190 computations (50.3% saved)

bsearch170.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
55.0ms
1.3265984005602432e+57
3.8552921016352645e+57
115.0ms
-9.781339097949783e-72
-2.45596585927509e-74
Compiler

Compiled 405 to 284 computations (29.9% saved)

regimes372.0ms (2.6%)

Counts
36 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(/.f64 1 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 b 2))))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (*.f64 -2 c) (/.f64 -1/2 (/.f64 (/.f64 (/.f64 b -4) a) c)))
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) c))
(/.f64 1 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)))
(/.f64 1 (/.f64 1 (/.f64 (*.f64 b c) (-.f64 (*.f64 a c) (*.f64 b b)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) (*.f64 b (/.f64 c b))))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))))))
(/.f64 (+.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(/.f64 1 (/.f64 (-.f64 (/.f64 c b) (*.f64 (/.f64 b a) 1)) (*.f64 (/.f64 b a) (/.f64 c b))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 c (neg.f64 a)) (/.f64 1 (neg.f64 b)))) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a))
Outputs
(/.f64 (neg.f64 c) b)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

3 calls:

151.0ms
c
148.0ms
a
62.0ms
b
Results
ErrorSegmentsBranch
31.0b9a
10.1b3b
31.5b9c
Compiler

Compiled 366 to 181 computations (50.5% saved)

bsearch204.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
88.0ms
4.278528629383603e-96
6.123539473989913e-87
115.0ms
-9.781339097949783e-72
-2.45596585927509e-74
Compiler

Compiled 478 to 351 computations (26.6% saved)

regimes361.0ms (2.6%)

Counts
35 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(/.f64 1 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 b 2))))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (*.f64 -2 c) (/.f64 -1/2 (/.f64 (/.f64 (/.f64 b -4) a) c)))
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) c))
(/.f64 1 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)))
(/.f64 1 (/.f64 1 (/.f64 (*.f64 b c) (-.f64 (*.f64 a c) (*.f64 b b)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) (*.f64 b (/.f64 c b))))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))))))
(/.f64 (+.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(/.f64 1 (/.f64 (-.f64 (/.f64 c b) (*.f64 (/.f64 b a) 1)) (*.f64 (/.f64 b a) (/.f64 c b))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 c (neg.f64 a)) (/.f64 1 (neg.f64 b)))) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
Outputs
(/.f64 (neg.f64 c) b)
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

3 calls:

155.0ms
c
127.0ms
a
66.0ms
b
Results
ErrorSegmentsBranch
31.0b9a
10.2b3b
31.5b9c
Compiler

Compiled 353 to 174 computations (50.7% saved)

bsearch199.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
81.0ms
4.278528629383603e-96
6.123539473989913e-87
117.0ms
-9.781339097949783e-72
-2.45596585927509e-74
Compiler

Compiled 461 to 334 computations (27.5% saved)

regimes499.0ms (3.5%)

Counts
34 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(/.f64 1 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 b 2))))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (*.f64 -2 c) (/.f64 -1/2 (/.f64 (/.f64 (/.f64 b -4) a) c)))
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) c))
(/.f64 1 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)))
(/.f64 1 (/.f64 1 (/.f64 (*.f64 b c) (-.f64 (*.f64 a c) (*.f64 b b)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) (*.f64 b (/.f64 c b))))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))))))
(/.f64 (+.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(/.f64 1 (/.f64 (-.f64 (/.f64 c b) (*.f64 (/.f64 b a) 1)) (*.f64 (/.f64 b a) (/.f64 c b))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 c (neg.f64 a)) (/.f64 1 (neg.f64 b)))) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a))
Outputs
(/.f64 (neg.f64 c) b)
(*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

3 calls:

237.0ms
a
175.0ms
c
75.0ms
b
Results
ErrorSegmentsBranch
31.3b9a
10.4b3b
31.6b9c
Compiler

Compiled 341 to 166 computations (51.3% saved)

bsearch357.0ms (2.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
277.0ms
4.278528629383603e-96
6.123539473989913e-87
79.0ms
-2.3975818325401404e-68
-6.712219348243223e-69
Compiler

Compiled 389 to 280 computations (28% saved)

regimes406.0ms (2.9%)

Counts
33 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(/.f64 1 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 b 2))))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 (*.f64 -2 c) (/.f64 -1/2 (/.f64 (/.f64 (/.f64 b -4) a) c)))
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) c))
(/.f64 1 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)))
(/.f64 1 (/.f64 1 (/.f64 (*.f64 b c) (-.f64 (*.f64 a c) (*.f64 b b)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) (*.f64 b (/.f64 c b))))
(/.f64 1 (*.f64 a (/.f64 -2 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))))))
(/.f64 (+.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(/.f64 1 (/.f64 (-.f64 (/.f64 c b) (*.f64 (/.f64 b a) 1)) (*.f64 (/.f64 b a) (/.f64 c b))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 c (neg.f64 a)) (/.f64 1 (neg.f64 b)))) (*.f64 -2 b)) (*.f64 2 a))
Outputs
(/.f64 (neg.f64 c) b)
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

3 calls:

179.0ms
a
151.0ms
c
67.0ms
b
Results
ErrorSegmentsBranch
33.8b5a
21.0b2b
33.4b7c
Compiler

Compiled 329 to 158 computations (52% saved)

bsearch58.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
58.0ms
-3.7752557771022845e-304
3.817813436807589e-296
Compiler

Compiled 216 to 149 computations (31% saved)

regimes218.0ms (1.5%)

Counts
12 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(/.f64 1 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
Outputs
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
Calls

3 calls:

106.0ms
c
77.0ms
a
31.0ms
b
Results
ErrorSegmentsBranch
33.9b5a
21.1b2b
33.7b7c
Compiler

Compiled 73 to 36 computations (50.7% saved)

bsearch37.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
37.0ms
-4.1202189619205305e-256
-3.8223378870844424e-260
Compiler

Compiled 154 to 115 computations (25.3% saved)

regimes36.0ms (0.3%)

Counts
4 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 b) a)
Outputs
(/.f64 c b)
(/.f64 (neg.f64 b) a)
Calls

3 calls:

16.0ms
c
11.0ms
a
7.0ms
b
Results
ErrorSegmentsBranch
42.3b3a
37.0b2b
41.4b3c
Compiler

Compiled 29 to 16 computations (44.8% saved)

bsearch318.0ms (2.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
318.0ms
-7.185794003328996e+37
-7.819917824145157e+36
Compiler

Compiled 116 to 85 computations (26.7% saved)

regimes16.0ms (0.1%)

Accuracy

Total -7.1b remaining (-12.7%)

Threshold costs -7.1b (-12.7%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
Outputs
(/.f64 c b)
Calls

3 calls:

8.0ms
a
3.0ms
c
3.0ms
b
Results
ErrorSegmentsBranch
56.0b1a
56.0b1b
56.0b1c
Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify17.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
088472
1127472
2159472
3196472
4215472
5224472
6227472
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b -795081179150273/110427941548649020598956093796432407239217743554726184882600387580788736) (/.f64 (neg.f64 c) b) (if (<=.f64 b -2631295589830529/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (if (<=.f64 b 1349999999999999917177148272005020428402703887646668619776) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b -795081179150273/110427941548649020598956093796432407239217743554726184882600387580788736) (/.f64 (neg.f64 c) b) (if (<=.f64 b -2631295589830529/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c) (if (<=.f64 b 1349999999999999917177148272005020428402703887646668619776) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b -6365737426045269/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 1349999999999999917177148272005020428402703887646668619776) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6365737426045269/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 1349999999999999917177148272005020428402703887646668619776) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6365737426045269/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 42273766489929/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6365737426045269/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 42273766489929/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -3381798007586549248/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 (neg.f64 c) b) (if (<=.f64 b 42273766489929/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b 0) (/.f64 (neg.f64 c) b) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -5401080421231085/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))
(if (<=.f64 b -70000000000000000313113469567081906176) (/.f64 c b) (/.f64 (neg.f64 b) a))
(/.f64 c b)
(/.f64 b a)
Outputs
(if (<=.f64 b -795081179150273/110427941548649020598956093796432407239217743554726184882600387580788736) (/.f64 (neg.f64 c) b) (if (<=.f64 b -2631295589830529/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (/.f64 (*.f64 -2 c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (if (<=.f64 b 1349999999999999917177148272005020428402703887646668619776) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b -795081179150273/110427941548649020598956093796432407239217743554726184882600387580788736) (/.f64 (neg.f64 c) b) (if (<=.f64 b -2631295589830529/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (if (<=.f64 b 1349999999999999917177148272005020428402703887646668619776) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b -795081179150273/110427941548649020598956093796432407239217743554726184882600387580788736) (/.f64 (neg.f64 c) b) (if (<=.f64 b -2631295589830529/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) c) (if (<=.f64 b 1349999999999999917177148272005020428402703887646668619776) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b -795081179150273/110427941548649020598956093796432407239217743554726184882600387580788736) (/.f64 (neg.f64 c) b) (if (<=.f64 b -2631295589830529/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (*.f64 c (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (if (<=.f64 b 1349999999999999917177148272005020428402703887646668619776) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b -6365737426045269/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 1349999999999999917177148272005020428402703887646668619776) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6365737426045269/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 1349999999999999917177148272005020428402703887646668619776) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6365737426045269/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 1349999999999999917177148272005020428402703887646668619776) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6365737426045269/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 42273766489929/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6365737426045269/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 42273766489929/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 a 2)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6365737426045269/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 42273766489929/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6365737426045269/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 42273766489929/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (*.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -3381798007586549248/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 (neg.f64 c) b) (if (<=.f64 b 42273766489929/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -6605074233567479/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (/.f64 (neg.f64 c) b) (if (<=.f64 b 42273766489929/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (*.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b 0) (/.f64 (neg.f64 c) b) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -5401080421231085/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))
(if (<=.f64 b -70000000000000000313113469567081906176) (/.f64 c b) (/.f64 (neg.f64 b) a))
(/.f64 c b)
(/.f64 b a)

end131.0ms (0.9%)

Stop Event
1×fuel
Compiler

Compiled 673 to 371 computations (44.9% saved)

Profiling

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