Details

Time bar (total: 2.5s)

analyze213.0ms (8.6%)

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
12.5%87.4%0.1%7
18.7%81.1%0.1%8
25%71.8%3.3%9
34.3%60.1%5.6%10
41.3%51.5%7.2%11
46.8%44.1%9.1%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (46%)

Results
971.0ms8256×body256valid
144.0ms1259×body256invalid

preprocess94.0ms (3.8%)

Algorithm
egg-herbie
Rules
768×fma-neg_binary64
441×fma-def_binary64
180×cancel-sign-sub-inv_binary64
127×distribute-rgt-in_binary64
113×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02044
14444
28844
315244
433836
568132
6113932
7186632
8248732
9278532
10286032
11286132
12286132
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(+.f64 (*.f64 (-.f64 1 y) x) (*.f64 y z))
(+.f64 (*.f64 (-.f64 1 z) y) (*.f64 z x))
(+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y))
Outputs
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(fma.f64 (-.f64 1 x) y (*.f64 x z))
(fma.f64 x z (*.f64 (-.f64 1 x) y))
(fma.f64 x (fma.f64 y -1 z) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 1 y) x) (*.f64 y z))
(fma.f64 (-.f64 1 y) x (*.f64 y z))
(fma.f64 x (-.f64 1 y) (*.f64 y z))
(-.f64 (fma.f64 y z x) (*.f64 x y))
(fma.f64 y (fma.f64 x -1 z) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 (-.f64 1 z) y) (*.f64 z x))
(fma.f64 (-.f64 1 z) y (*.f64 x z))
(fma.f64 x z (*.f64 y (-.f64 1 z)))
(fma.f64 z (fma.f64 y -1 x) y)
(fma.f64 z (-.f64 x y) y)
(+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y))
(fma.f64 (-.f64 1 x) z (*.f64 x y))
(fma.f64 x (fma.f64 z -1 y) z)
(fma.f64 x (-.f64 y z) z)
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify33.0ms (1.4%)

Algorithm
egg-herbie
Rules
346×fma-def_binary64
246×fma-neg_binary64
51×cancel-sign-sub-inv_binary64
45×distribute-rgt-in_binary64
42×associate--r+_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0911
11711
23011
35711
41269
52188
63468
75578
89618
911418
1012018
1112118
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Outputs
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(fma.f64 (-.f64 1 x) y (*.f64 x z))
(fma.f64 x z (*.f64 (-.f64 1 x) y))
(-.f64 (fma.f64 x z y) (*.f64 x y))
(fma.f64 x (fma.f64 y -1 z) y)
(fma.f64 x (-.f64 z y) y)

eval1.0ms (0%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
0b
(fma.f64 x (-.f64 z y) y)
Compiler

Compiled 21 to 13 computations (38.1% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1 x) y)
0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Compiler

Compiled 27 to 14 computations (48.1% saved)

series8.0ms (0.3%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
y
@0
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
1.0ms
x
@inf
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
1.0ms
x
@0
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
1.0ms
x
@-inf
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
1.0ms
y
@-inf
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))

rewrite74.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
476×log-prod_binary64
411×prod-exp_binary64
382×fma-def_binary64
353×exp-prod_binary64
343×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119218
2262218
Stop Event
node limit
Counts
2 → 122
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(*.f64 (-.f64 1 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))) (/.f64 (pow.f64 (*.f64 x z) 2) (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x z (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 2) (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) (sqrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)) (pow.f64 (*.f64 (-.f64 1 x) y) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) (pow.f64 (*.f64 x z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) (-.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (pow.f64 (*.f64 x z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 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((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 1 x)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y)) (sqrt.f64 (*.f64 (-.f64 1 x) y)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (*.f64 x z))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (fma.f64 x (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) y)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 x) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) y)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 y) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))))))

simplify49.0ms (2%)

Algorithm
egg-herbie
Rules
325×fma-def_binary64
263×fma-neg_binary64
69×cancel-sign-sub-inv_binary64
53×distribute-rgt-in_binary64
47×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022482
151424
2105424
3219424
4511424
5846424
61139424
71315424
81331424
Stop Event
saturated
Counts
182 → 136
Calls
Call 1
Inputs
y
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
Outputs
y
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(*.f64 (+.f64 z (neg.f64 y)) x)
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))
(*.f64 (+.f64 z (neg.f64 y)) x)
(*.f64 (-.f64 z y) x)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))

localize6.0ms (0.2%)

Compiler

Compiled 15 to 5 computations (66.7% saved)

eval47.0ms (1.9%)

Compiler

Compiled 1963 to 1074 computations (45.3% saved)

prune38.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1324136
Fresh000
Picked011
Done011
Total1326138
Error
0b
Counts
138 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
23.7b
(-.f64 y (*.f64 y x))
0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
39.9b
(*.f64 z x)
28.7b
(*.f64 (-.f64 z y) x)
34.2b
y
0b
(fma.f64 x (-.f64 z y) y)
Compiler

Compiled 47 to 30 computations (36.2% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 z y) x)
Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0.2%)

Counts
1 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (-.f64 z y) x)
1.0ms
z
@-inf
(*.f64 (-.f64 z y) x)
1.0ms
z
@inf
(*.f64 (-.f64 z y) x)
0.0ms
x
@inf
(*.f64 (-.f64 z y) x)
0.0ms
x
@0
(*.f64 (-.f64 z y) x)

rewrite54.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
725×pow1_binary64
672×add-log-exp_binary64
672×log1p-expm1-u_binary64
672×expm1-log1p-u_binary64
657×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11297
217847
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (-.f64 z y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 z y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 y 3)) x) (fma.f64 z z (*.f64 y (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 y y)) x) (+.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 z 3) (pow.f64 y 3))) (fma.f64 z z (*.f64 y (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 z z) (*.f64 y y))) (+.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 z y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 z y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 z y) x)))))))

simplify28.0ms (1.1%)

Algorithm
egg-herbie
Rules
217×fma-def_binary64
132×fma-neg_binary64
41×cancel-sign-sub-inv_binary64
25×distribute-rgt-in_binary64
25×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
09210
117192
239156
357156
481156
5133156
6249156
7404156
8570156
9724156
10738156
Stop Event
saturated
Counts
43 → 25
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
Outputs
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 (neg.f64 y) z))
(*.f64 x (-.f64 z y))

localize5.0ms (0.2%)

Compiler

Compiled 13 to 5 computations (61.5% saved)

eval5.0ms (0.2%)

Compiler

Compiled 215 to 88 computations (59.1% saved)

prune6.0ms (0.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New24125
Fresh011
Picked011
Done044
Total24731
Error
0b
Counts
31 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
23.7b
(-.f64 y (*.f64 y x))
0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
39.9b
(*.f64 z x)
28.7b
(*.f64 (-.f64 z y) x)
51.6b
(*.f64 y (neg.f64 x))
34.2b
y
0b
(fma.f64 x (-.f64 z y) y)
Compiler

Compiled 54 to 35 computations (35.2% saved)

localize5.0ms (0.2%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done055
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
23.7b
(-.f64 y (*.f64 y x))
0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
39.9b
(*.f64 z x)
28.7b
(*.f64 (-.f64 z y) x)
51.6b
(*.f64 y (neg.f64 x))
34.2b
y
0b
(fma.f64 x (-.f64 z y) y)
Compiler

Compiled 54 to 35 computations (35.2% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
23.7b
(-.f64 y (*.f64 y x))
0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
39.9b
(*.f64 z x)
28.7b
(*.f64 (-.f64 z y) x)
51.6b
(*.f64 y (neg.f64 x))
34.2b
y
0b
(fma.f64 x (-.f64 z y) y)
Compiler

Compiled 54 to 35 computations (35.2% saved)

regimes23.0ms (0.9%)

Counts
7 → 1
Calls
Call 1
Inputs
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
(-.f64 y (*.f64 y x))
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(fma.f64 x (-.f64 z y) y)
Outputs
(fma.f64 x (-.f64 z y) y)
Calls

4 calls:

6.0ms
z
5.0ms
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
5.0ms
x
5.0ms
y
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1z
0b1(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Compiler

Compiled 60 to 33 computations (45% saved)

regimes24.0ms (1%)

Counts
6 → 1
Calls
Call 1
Inputs
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
(-.f64 y (*.f64 y x))
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Outputs
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Calls

4 calls:

7.0ms
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
6.0ms
y
5.0ms
x
5.0ms
z
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Compiler

Compiled 54 to 32 computations (40.7% saved)

regimes53.0ms (2.2%)

Counts
5 → 3
Calls
Call 1
Inputs
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
(-.f64 y (*.f64 y x))
(*.f64 (-.f64 z y) x)
Outputs
(*.f64 (-.f64 z y) x)
y
(*.f64 (-.f64 z y) x)
Calls

3 calls:

21.0ms
z
17.0ms
y
13.0ms
x
Results
ErrorSegmentsBranch
9.3b3x
12.2b3y
15.1b5z
Compiler

Compiled 33 to 19 computations (42.4% saved)

bsearch36.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
4.2429390155870266e-38
5.074536624114065e-36
18.0ms
-8.671614147198734e-12
-1.6617652926543101e-40
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes63.0ms (2.5%)

Counts
4 → 3
Calls
Call 1
Inputs
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
(-.f64 y (*.f64 y x))
Outputs
(-.f64 y (*.f64 y x))
(*.f64 z x)
(-.f64 y (*.f64 y x))
Calls

3 calls:

27.0ms
x
23.0ms
z
12.0ms
y
Results
ErrorSegmentsBranch
15.7b6x
14.8b3y
16.5b5z
Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch41.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
1.4392226145766074e-144
2.3768042906330735e-144
18.0ms
-2.5393078443386733e-133
-1.9506944148705504e-144
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes55.0ms (2.2%)

Counts
3 → 6
Calls
Call 1
Inputs
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
Outputs
(*.f64 z x)
(*.f64 y (neg.f64 x))
(*.f64 z x)
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
Calls

3 calls:

23.0ms
x
17.0ms
z
14.0ms
y
Results
ErrorSegmentsBranch
15.7b6x
23.4b3y
25.8b5z
Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch122.0ms (4.9%)

Algorithm
binary-search
Steps
TimeLeftRight
44.0ms
1.2471778052476387e+76
9.79395165385055e+80
18.0ms
4.2429390155870266e-38
5.074536624114065e-36
18.0ms
-8.671614147198734e-12
-1.6617652926543101e-40
19.0ms
-5.46527218504634e+29
-8.813007076833637e+26
22.0ms
-8.421654276748289e+189
-5.2458702815952244e+184
Compiler

Compiled 288 to 211 computations (26.7% saved)

regimes39.0ms (1.6%)

Accuracy

Total -41.7b remaining (-205.3%)

Threshold costs -41.7b (-205.3%)

Counts
2 → 3
Calls
Call 1
Inputs
y
(*.f64 z x)
Outputs
(*.f64 z x)
y
(*.f64 z x)
Calls

3 calls:

16.0ms
z
13.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
20.3b3x
23.4b3y
25.8b5z
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch37.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
4.2429390155870266e-38
5.074536624114065e-36
18.0ms
-8.671614147198734e-12
-1.6617652926543101e-40
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify10.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
043155
162155
272155
377155
479155
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(if (<=.f64 x -687036054915255040/79228162514264337593543950336) (*.f64 (-.f64 z y) x) (if (<=.f64 x 4063928200970639/95780971304118053647396689196894323976171195136475136) y (*.f64 (-.f64 z y) x)))
(if (<=.f64 y -3246932206334067/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (-.f64 y (*.f64 y x)) (if (<=.f64 y 5058545682919707/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) (*.f64 z x) (-.f64 y (*.f64 y x))))
(if (<=.f64 x -8399999999999999699321163996453052890005599049459893843354044254076994565181332400677948880627052052697769915195282044056090344918062658755028581006388577624888753820365403616361775728951296) (*.f64 z x) (if (<=.f64 x -546527218504634009988152426496) (*.f64 y (neg.f64 x)) (if (<=.f64 x -687036054915255040/79228162514264337593543950336) (*.f64 z x) (if (<=.f64 x 4063928200970639/95780971304118053647396689196894323976171195136475136) y (if (<=.f64 x 949999999999999914686556734026774935046925318239181427329988772861999815577305088) (*.f64 z x) (*.f64 y (neg.f64 x)))))))
(if (<=.f64 x -687036054915255040/79228162514264337593543950336) (*.f64 z x) (if (<=.f64 x 4063928200970639/95780971304118053647396689196894323976171195136475136) y (*.f64 z x)))
y
Outputs
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 x z))
(if (<=.f64 x -687036054915255040/79228162514264337593543950336) (*.f64 (-.f64 z y) x) (if (<=.f64 x 4063928200970639/95780971304118053647396689196894323976171195136475136) y (*.f64 (-.f64 z y) x)))
(if (<=.f64 x -2683734589512715/309485009821345068724781056) (*.f64 x (-.f64 z y)) (if (<=.f64 x 4063928200970639/95780971304118053647396689196894323976171195136475136) y (*.f64 x (-.f64 z y))))
(if (<=.f64 y -3246932206334067/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (-.f64 y (*.f64 y x)) (if (<=.f64 y 5058545682919707/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) (*.f64 z x) (-.f64 y (*.f64 y x))))
(if (<=.f64 y -3246932206334067/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (-.f64 y (*.f64 x y)) (if (<=.f64 y 5058545682919707/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) (*.f64 x z) (-.f64 y (*.f64 x y))))
(if (<=.f64 x -8399999999999999699321163996453052890005599049459893843354044254076994565181332400677948880627052052697769915195282044056090344918062658755028581006388577624888753820365403616361775728951296) (*.f64 z x) (if (<=.f64 x -546527218504634009988152426496) (*.f64 y (neg.f64 x)) (if (<=.f64 x -687036054915255040/79228162514264337593543950336) (*.f64 z x) (if (<=.f64 x 4063928200970639/95780971304118053647396689196894323976171195136475136) y (if (<=.f64 x 949999999999999914686556734026774935046925318239181427329988772861999815577305088) (*.f64 z x) (*.f64 y (neg.f64 x)))))))
(if (<=.f64 x -8399999999999999699321163996453052890005599049459893843354044254076994565181332400677948880627052052697769915195282044056090344918062658755028581006388577624888753820365403616361775728951296) (*.f64 x z) (if (<=.f64 x -546527218504634009988152426496) (*.f64 y (neg.f64 x)) (if (<=.f64 x -2683734589512715/309485009821345068724781056) (*.f64 x z) (if (<=.f64 x 4063928200970639/95780971304118053647396689196894323976171195136475136) y (if (<=.f64 x 949999999999999914686556734026774935046925318239181427329988772861999815577305088) (*.f64 x z) (*.f64 y (neg.f64 x)))))))
(if (<=.f64 x -8399999999999999699321163996453052890005599049459893843354044254076994565181332400677948880627052052697769915195282044056090344918062658755028581006388577624888753820365403616361775728951296) (*.f64 x z) (if (<=.f64 x -546527218504634009988152426496) (*.f64 x (neg.f64 y)) (if (<=.f64 x -2683734589512715/309485009821345068724781056) (*.f64 x z) (if (<=.f64 x 4063928200970639/95780971304118053647396689196894323976171195136475136) y (if (<=.f64 x 949999999999999914686556734026774935046925318239181427329988772861999815577305088) (*.f64 x z) (*.f64 x (neg.f64 y)))))))
(if (<=.f64 x -687036054915255040/79228162514264337593543950336) (*.f64 z x) (if (<=.f64 x 4063928200970639/95780971304118053647396689196894323976171195136475136) y (*.f64 z x)))
(if (<=.f64 x -2683734589512715/309485009821345068724781056) (*.f64 x z) (if (<=.f64 x 4063928200970639/95780971304118053647396689196894323976171195136475136) y (*.f64 x z)))
y
Compiler

Compiled 130 to 70 computations (46.2% saved)

soundness70.0ms (2.9%)

Algorithm
egg-herbie
Rules
346×fma-def_binary64
246×fma-neg_binary64
51×cancel-sign-sub-inv_binary64
45×distribute-rgt-in_binary64
42×associate--r+_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0911
11711
23011
35711
41269
52188
63468
75578
89618
911418
1012018
1112118
Stop Event
saturated
Compiler

Compiled 197 to 126 computations (36% saved)

end55.0ms (2.2%)

Compiler

Compiled 112 to 48 computations (57.1% saved)

Profiling

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