Details

Time bar (total: 5.4s)

analyze931.0ms (17.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%93.6%6.4%7
6.2%87.4%6.4%8
10.1%81.1%8.7%9
15.6%71%13.4%10
22%63%15%11
29.1%52.9%18.1%12
33.8%45.6%20.5%13
38.8%38.9%22.3%14
Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.2s (40.8%)

Results
692.0ms5325×body128valid
586.0ms1145×body2048valid
324.0ms741×body1024valid
277.0ms435×body4096valid
134.0ms1075×body128invalid
131.0ms402×body512valid
45.0ms208×body256valid
Compiler

Compiled 42 to 30 computations (28.6% saved)

preprocess41.0ms (0.8%)

Algorithm
egg-herbie
Rules
801×fma-def_binary64
685×div-sub_binary64
295×fma-neg_binary64
210×associate-/l*_binary64
209×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038104
19988
222088
344588
476388
5125688
6223088
7445088
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 b) c)))) (*.f64 2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 c) a)))) (*.f64 2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 4 a) b)))) (*.f64 2 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) b) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 b) c)))) (*.f64 2 b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a))) a) (*.f64 b 2))
(*.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) (/.f64 -1/2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 c) a)))) (*.f64 2 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 4 c))))) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 c 2))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 -1/2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 4 a) b)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b (*.f64 4 a))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4)))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) (*.f64 a 2))
(*.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) (/.f64 -1/2 a))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify30.0ms (0.5%)

Algorithm
egg-herbie
Rules
763×fma-neg_binary64
619×times-frac_binary64
367×fma-def_binary64
242×distribute-rgt-in_binary64
239×div-sub_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01526
13322
27222
316322
426722
543622
674722
7133522
8268922
9408622
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 a 2))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a) -1/2)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
33.6b
Counts
3 → 2
Alt Table
StatusErrorProgram
33.6b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
33.7b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
Compiler

Compiled 111 to 75 computations (32.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
0.8b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
3.1b
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
21.3b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

series62.0ms (1.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
30.0ms
a
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
2.0ms
a
@-inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
2.0ms
b
@0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
2.0ms
a
@inf
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
2.0ms
c
@inf
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

rewrite79.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
278×log1p-udef_binary64
173×add-sqr-sqrt_binary64
167×*-un-lft-identity_binary64
167×pow1_binary64
162×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01574
134262
2491162
Stop Event
node limit
Counts
4 → 158
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 a (*.f64 4 c)) 2))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (*.f64 64 (pow.f64 (*.f64 a c) 3)))) (sqrt.f64 (+.f64 (pow.f64 b 4) (*.f64 (*.f64 a (*.f64 4 c)) (fma.f64 b b (*.f64 a (*.f64 4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) 2) (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2)) (/.f64 1 (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a -4)))) (/.f64 1 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2)) (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2)) (+.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (-.f64 (*.f64 b b) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a -4)))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))))) 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(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (pow.f64 (cbrt.f64 (*.f64 a 2)) 2)) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 a 2))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (sqrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) 2) (sqrt.f64 (*.f64 a 2))) (/.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (sqrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) 3) (pow.f64 (*.f64 a 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 1))))))

simplify55.0ms (1%)

Algorithm
egg-herbie
Rules
742×times-frac_binary64
467×associate-/l*_binary64
432×fma-def_binary64
422×associate-/r*_binary64
142×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01212241
14022164
214032078
Stop Event
node limit
Counts
254 → 232
Calls
Call 1
Inputs
(sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 3))))
b
(-.f64 b (*.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 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 b (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) b)
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.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))))) b)
b
(-.f64 b (*.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 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 b (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (*.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 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 b (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) b)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))) b)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 3))) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(neg.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (*.f64 10 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (*.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 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.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 -2 (/.f64 (*.f64 c a) b))
(neg.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (*.f64 10 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(neg.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (*.f64 10 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(*.f64 -4 (*.f64 c a))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(-.f64 (pow.f64 b 2) (*.f64 4 (*.f64 c a)))
(*.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) a))
(-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) a)) (*.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 2) (*.f64 a (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))))) (*.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) a))) (*.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 2) (*.f64 a (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))))) (*.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) a))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 4) (*.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 3)))) (*.f64 1/2 (/.f64 b a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 5 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(*.f64 -1 (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)) (/.f64 b a))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 5 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 5 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
Outputs
(sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))
(sqrt.f64 (*.f64 (*.f64 c a) -4))
(sqrt.f64 (*.f64 c (*.f64 a -4)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))
(fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) -4))) (sqrt.f64 (*.f64 (*.f64 c a) -4)))
(fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) (sqrt.f64 (*.f64 c (*.f64 a -4))))
(fma.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) (sqrt.f64 (*.f64 c (*.f64 a -4))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 3))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) -4))) (sqrt.f64 (*.f64 (*.f64 c a) -4))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) 3))))
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b
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(+.f64 b (/.f64 (*.f64 c -2) (/.f64 b a)))
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(-.f64 b (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))))
(-.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) a)) b) (*.f64 (/.f64 (*.f64 4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3)))
(*.f64 -1 b)
(neg.f64 b)
(-.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b)
(-.f64 (*.f64 2 (*.f64 (/.f64 c b) a)) b)
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(-.f64 (*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)))) b)
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (neg.f64 b))
(fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) a)) (neg.f64 b))
(-.f64 (+.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))))) b)
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(-.f64 (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))) b)
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) a)) (*.f64 (/.f64 (*.f64 4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3))) b)
b
(-.f64 b (*.f64 2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 (/.f64 c (/.f64 b a)) -2))
(+.f64 b (/.f64 (*.f64 c -2) (/.f64 b a)))
(fma.f64 (*.f64 (/.f64 c b) a) -2 b)
(-.f64 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 b (*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)))))
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(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) a)) b)
(-.f64 b (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
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(-.f64 b (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))))
(-.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) a)) b) (*.f64 (/.f64 (*.f64 4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3)))
b
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(fma.f64 (*.f64 (/.f64 c b) a) -2 b)
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(-.f64 b (*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)))))
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(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) a)) b)
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(-.f64 b (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))))
(-.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) a)) b) (*.f64 (/.f64 (*.f64 4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3)))
(sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))
(sqrt.f64 (*.f64 (*.f64 c a) -4))
(sqrt.f64 (*.f64 c (*.f64 a -4)))
(-.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) b)
(-.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) b)
(-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)
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(-.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)
(fma.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))
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(-.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 3)) b))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 3)) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -2)
(/.f64 (*.f64 c -2) (/.f64 b a))
(*.f64 (/.f64 -2 b) (*.f64 c a))
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(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))))
(*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) a)))
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(-.f64 (*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
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(-.f64 (*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 10 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 b 7))))
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(*.f64 -2 b)
(*.f64 b -2)
(-.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))
(*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)))
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(*.f64 2 (-.f64 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) b))
(*.f64 2 (-.f64 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) a)) b))
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(fma.f64 2 (*.f64 (/.f64 c b) a) (+.f64 (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))) (*.f64 2 (-.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) b))))
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(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -2)
(/.f64 (*.f64 c -2) (/.f64 b a))
(*.f64 (/.f64 -2 b) (*.f64 c a))
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(neg.f64 (*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)))))
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))))
(*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) a)))
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(-.f64 (*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
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(neg.f64 (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (+.f64 (/.f64 c b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 5 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(neg.f64 (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 5 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))))))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (+.f64 (/.f64 c b) (fma.f64 5 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 5 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))))
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (+.f64 (/.f64 c b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 5 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(neg.f64 (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 5 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))))))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (+.f64 (/.f64 c b) (fma.f64 5 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 5 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))

prune210.0ms (3.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New22210232
Fresh101
Picked011
Done000
Total22311234
Error
8.2b
Counts
234 → 11
Alt Table
StatusErrorProgram
44.7b
(/.f64 (neg.f64 b) a)
46.5b
(pow.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 3)
47.0b
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
33.6b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
49.9b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 2 a))
56.9b
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 c b) a) -2 b)) (*.f64 2 a))
46.8b
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a -4)))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (*.f64 2 a))
45.2b
(/.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b))) (*.f64 2 a))
46.2b
(pow.f64 (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) 1/2)) -1)
45.0b
(-.f64 (/.f64 c b) (/.f64 b a))
42.4b
(/.f64 (neg.f64 c) b)
Compiler

Compiled 6138 to 3839 computations (37.5% saved)

localize3.0ms (0.1%)

prune10.0ms (0.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New000
Fresh099
Picked011
Done011
Total01111
Error
8.2b
Counts
11 → 11
Alt Table
StatusErrorProgram
44.7b
(/.f64 (neg.f64 b) a)
46.5b
(pow.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 3)
47.0b
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
33.6b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
49.9b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 2 a))
56.9b
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 c b) a) -2 b)) (*.f64 2 a))
46.8b
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a -4)))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (*.f64 2 a))
45.2b
(/.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b))) (*.f64 2 a))
46.2b
(pow.f64 (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) 1/2)) -1)
45.0b
(-.f64 (/.f64 c b) (/.f64 b a))
42.4b
(/.f64 (neg.f64 c) b)
Compiler

Compiled 335 to 229 computations (31.6% saved)

localize3.0ms (0.1%)

prune11.0ms (0.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New000
Fresh088
Picked011
Done022
Total01111
Error
8.2b
Counts
11 → 11
Alt Table
StatusErrorProgram
44.7b
(/.f64 (neg.f64 b) a)
46.5b
(pow.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 3)
47.0b
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
33.6b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
49.9b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 2 a))
56.9b
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 c b) a) -2 b)) (*.f64 2 a))
46.8b
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a -4)))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (*.f64 2 a))
45.2b
(/.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b))) (*.f64 2 a))
46.2b
(pow.f64 (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) 1/2)) -1)
45.0b
(-.f64 (/.f64 c b) (/.f64 b a))
42.4b
(/.f64 (neg.f64 c) b)
Compiler

Compiled 328 to 224 computations (31.7% saved)

localize17.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 c b) (/.f64 b a))

series5.0ms (0.1%)

Counts
1 → 9
Calls

9 calls:

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

rewrite80.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
471×log-prod_binary64
309×fma-def_binary64
183×log-div_binary64
174×fma-neg_binary64
162×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116410
2264810
Stop Event
node limit
Counts
1 → 141
Calls
Call 1
Inputs
(-.f64 (/.f64 c b) (/.f64 b a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c b) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (fma.f64 (neg.f64 (/.f64 1 a)) b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 c b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 c b) (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 c b) (/.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 c b) (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 c b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) 2) (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) (sqrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 1 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 3)) (/.f64 1 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (pow.f64 (/.f64 c b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 c b) 2) (pow.f64 (/.f64 b a) 2)) (/.f64 1 (+.f64 (/.f64 c b) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 b a) (-.f64 (*.f64 c a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (pow.f64 (/.f64 c b) 2)) (-.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (pow.f64 (/.f64 c b) 2) (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 3)) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (pow.f64 (/.f64 c b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 c b) 2) (pow.f64 (/.f64 b a) 2)) (+.f64 (/.f64 c b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 c a) (*.f64 b b))) (neg.f64 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 3))) (neg.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (pow.f64 (/.f64 c b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 c b) 2) (pow.f64 (/.f64 b a) 2))) (neg.f64 (+.f64 (/.f64 c b) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 c) a (neg.f64 (*.f64 (neg.f64 b) b))) (*.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (*.f64 b (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a b)) (*.f64 (neg.f64 b) 1)) (*.f64 (neg.f64 b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 c (neg.f64 a) (neg.f64 (*.f64 b (neg.f64 b)))) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 a) (*.f64 (/.f64 b c) (neg.f64 b))) (*.f64 (/.f64 b c) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 c) (neg.f64 a) (neg.f64 (*.f64 (neg.f64 b) (neg.f64 b)))) (*.f64 (neg.f64 b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 (neg.f64 b) a) 3)) (+.f64 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simplify15.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0844
11244
21944
32544
43144
53944
64744
75744
86544
97944
Stop Event
saturated
Counts
150 → 144
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b a))
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 c b)
(/.f64 c b)
Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 c b)
(/.f64 c b)

prune60.0ms (1.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1422144
Fresh077
Picked101
Done033
Total14312155
Error
8.2b
Counts
155 → 12
Alt Table
StatusErrorProgram
44.7b
(/.f64 (neg.f64 b) a)
46.5b
(pow.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a))) 3)
47.0b
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
33.6b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
42.4b
(/.f64 (neg.f64 c) b)
57.1b
(cbrt.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3))
49.9b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 2 a))
56.9b
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 c b) a) -2 b)) (*.f64 2 a))
46.8b
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a -4)))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (*.f64 2 a))
45.2b
(/.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b))) (*.f64 2 a))
46.2b
(pow.f64 (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) 1/2)) -1)
60.7b
(pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3)
Compiler

Compiled 2758 to 831 computations (69.9% saved)

regimes1.4s (25.3%)

Accuracy

Total 5.0b remaining (48%)

Threshold costs 0b (0%)

Counts
69 → 3
Compiler

Compiled 1299 to 784 computations (39.6% saved)

bsearch44.0ms (0.8%)

Algorithm
binary-search
Calls

2 calls:

22.0ms
b
21.0ms
b
Steps
ItersPointRange
2.6e-140
∈ [
6.995905346820604e-141
,
2.656916572892484e-140
]
-2.8e+91
∈ [
-1.7729987221280893e+92
,
-4.875274761325675e+90
]
Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
02652
13950
25050
35650
45850
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b -27999999999999998609242307449722813021781050403176374031595011124498579873115430928311648256) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 697206012357015/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
Outputs
(if (<=.f64 b -27999999999999998609242307449722813021781050403176374031595011124498579873115430928311648256) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 697206012357015/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -27999999999999998609242307449722813021781050403176374031595011124498579873115430928311648256) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 697206012357015/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -27999999999999998609242307449722813021781050403176374031595011124498579873115430928311648256) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 697206012357015/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))

end168.0ms (3.1%)

Stop Event
fuel
Compiler

Compiled 272 to 183 computations (32.7% saved)

Profiling

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