Details

Time bar (total: 2.2s)

analyze370.0ms (16.6%)

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)

sample890.0ms (40%)

Results
763.0ms8256×body256valid
115.0ms1173×body256invalid

preprocess50.0ms (2.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02044
14344
28744
315144
433736
568032
6113132
7184732
8246132
9275932
10283432
11283532
12283532
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 1 y) z))
(+.f64 (*.f64 z y) (*.f64 (-.f64 1 z) x))
(+.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(fma.f64 x y (*.f64 (-.f64 1 x) z))
(-.f64 (fma.f64 x y z) (*.f64 x z))
(fma.f64 x (fma.f64 z -1 y) z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 1 y) z))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 x y))
(fma.f64 x y (*.f64 z (-.f64 1 y)))
(-.f64 (fma.f64 x y z) (*.f64 y z))
(fma.f64 y (fma.f64 z -1 x) z)
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 z y) (*.f64 (-.f64 1 z) x))
(fma.f64 z y (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) (*.f64 y z))
(fma.f64 z (fma.f64 x -1 y) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y))
(fma.f64 x z (*.f64 y (-.f64 1 x)))
(fma.f64 x z (-.f64 y (*.f64 x y)))
(fma.f64 x (fma.f64 y -1 z) y)
(fma.f64 x (-.f64 z y) y)
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify17.0ms (0.8%)

Algorithm
egg-herbie
Rules
354×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
89678
911468
1012068
1112168
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(fma.f64 x y (*.f64 (-.f64 1 x) z))
(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)

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
0b
(fma.f64 x (-.f64 y z) z)
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Compiler

Compiled 21 to 13 computations (38.1% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 27 to 14 computations (48.1% saved)

series8.0ms (0.3%)

Counts
2 → 60
Calls

15 calls:

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

rewrite50.0ms (2.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119218
2261718
Stop Event
node limit
Counts
2 → 122
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(*.f64 (-.f64 1 x) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2) (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(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 y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (-.f64 1 x) z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z))) (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z))) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 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fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z)) (sqrt.f64 (*.f64 (-.f64 1 x) z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 1 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 1 x) z))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) z) (fma.f64 x (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) z) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) z)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 x)))))))

simplify32.0ms (1.4%)

Algorithm
egg-herbie
Rules
345×fma-def_binary64
247×fma-neg_binary64
49×cancel-sign-sub-inv_binary64
45×unsub-neg_binary64
40×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023453
158424
2125424
3252424
4524424
5882424
61149424
71218424
81220424
Stop Event
saturated
Counts
182 → 137
Calls
Call 1
Inputs
z
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(*.f64 (+.f64 (*.f64 -1 z) y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(*.f64 z (-.f64 1 x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 z (-.f64 1 x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 z (-.f64 1 x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
z
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(*.f64 -1 (*.f64 z x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
Outputs
z
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 (+.f64 (*.f64 -1 z) y) x)
(*.f64 (fma.f64 -1 z y) x)
(*.f64 (-.f64 y z) x)
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y))))
(*.f64 (fma.f64 -1 z y) x)
(*.f64 (-.f64 y z) x)
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
z
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))

localize7.0ms (0.3%)

Compiler

Compiled 15 to 5 computations (66.7% saved)

eval33.0ms (1.5%)

Compiler

Compiled 1974 to 1079 computations (45.3% saved)

prune20.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1334137
Fresh000
Picked101
Done011
Total1345139
Error
0b
Counts
139 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
27.7b
(*.f64 x (-.f64 y z))
35.2b
z
36.7b
(*.f64 y x)
26.0b
(-.f64 z (*.f64 z x))
Compiler

Compiled 38 to 25 computations (34.2% saved)

localize5.0ms (0.2%)

Compiler

Compiled 13 to 5 computations (61.5% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

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

rewrite35.0ms (1.6%)

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
217807
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 x (-.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (-.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))))))

simplify21.0ms (1%)

Algorithm
egg-herbie
Rules
203×fma-def_binary64
124×fma-neg_binary64
43×cancel-sign-sub-inv_binary64
34×distribute-rgt-in_binary64
27×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011240
122240
243240
362240
492240
5158240
6287240
7419240
8593240
9731240
10743240
Stop Event
saturated
Counts
55 → 24
Calls
Call 1
Inputs
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
Outputs
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)

eval4.0ms (0.2%)

Compiler

Compiled 212 to 88 computations (58.5% saved)

prune7.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New23124
Fresh011
Picked011
Done033
Total23629
Error
0b
Counts
29 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
27.7b
(*.f64 x (-.f64 y z))
35.2b
z
53.4b
(*.f64 z (neg.f64 x))
36.7b
(*.f64 y x)
26.0b
(-.f64 z (*.f64 z x))
Compiler

Compiled 45 to 30 computations (33.3% 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)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done044
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
27.7b
(*.f64 x (-.f64 y z))
35.2b
z
53.4b
(*.f64 z (neg.f64 x))
36.7b
(*.f64 y x)
26.0b
(-.f64 z (*.f64 z x))
Compiler

Compiled 45 to 30 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
27.7b
(*.f64 x (-.f64 y z))
35.2b
z
53.4b
(*.f64 z (neg.f64 x))
36.7b
(*.f64 y x)
26.0b
(-.f64 z (*.f64 z x))
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes20.0ms (0.9%)

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

4 calls:

5.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
4.0ms
z
4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Compiler

Compiled 54 to 32 computations (40.7% saved)

regimes55.0ms (2.5%)

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

3 calls:

22.0ms
y
19.0ms
z
13.0ms
x
Results
ErrorSegmentsBranch
12.1b3x
13.5b5y
11.7b5z
Compiler

Compiled 33 to 19 computations (42.4% saved)

bsearch110.0ms (4.9%)

Algorithm
binary-search
Steps
TimeLeftRight
29.0ms
2.2580619758485436e+85
3.8692774554499315e+89
16.0ms
2.63350159373066e-11
1611751.4264801445
48.0ms
1.2257532009159281e-96
1.2038326655216613e-78
16.0ms
-6.68337000111986e+21
-1.450298229351099e+21
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes80.0ms (3.6%)

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

3 calls:

34.0ms
x
33.0ms
y
11.0ms
z
Results
ErrorSegmentsBranch
18.8b5x
14.8b5y
13.9b3z
Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch34.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
1.2257532009159281e-96
1.2038326655216613e-78
17.0ms
-9.415968692039606e-97
-2.015645786008923e-98
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes83.0ms (3.7%)

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

3 calls:

31.0ms
z
29.0ms
x
22.0ms
y
Results
ErrorSegmentsBranch
20.0b5x
22.5b5y
21.0b5z
Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch89.0ms (4%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
1.0837309768533918e-15
5.320336378245714e-12
17.0ms
-4.885592608485508e-129
-1.6524165729194743e-129
17.0ms
-117400125672067660.0
-48940.03389873021
38.0ms
-3.8992133910829913e+96
-1.8493407017299116e+88
Compiler

Compiled 153 to 112 computations (26.8% saved)

regimes38.0ms (1.7%)

Accuracy

Total -41.1b remaining (-196.1%)

Threshold costs -41.1b (-196.1%)

Counts
2 → 5
Calls
Call 1
Inputs
z
(*.f64 y x)
Outputs
z
(*.f64 y x)
z
(*.f64 y x)
z
Calls

3 calls:

16.0ms
y
14.0ms
z
8.0ms
x
Results
ErrorSegmentsBranch
21.2b3x
22.5b5y
21.0b5z
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch68.0ms (3.1%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
2.2580619758485436e+85
3.8692774554499315e+89
18.0ms
2.63350159373066e-11
1611751.4264801445
16.0ms
1.2257532009159281e-96
1.2038326655216613e-78
18.0ms
-6.68337000111986e+21
-1.450298229351099e+21
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify9.0ms (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
049181
168181
278181
383181
485181
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(if (<=.f64 z -6683370001119860228096) (-.f64 z (*.f64 z x)) (if (<=.f64 z 5895646388884249/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 x (-.f64 y z)) (if (<=.f64 z 2037573166500653/77371252455336267181195264) (-.f64 z (*.f64 z x)) (if (<=.f64 z 22580619758485436317671515819980458431865372212512238560220256875591727432770896527360) (*.f64 x (-.f64 y z)) (-.f64 z (*.f64 z x))))))
(if (<=.f64 z -4528906942734387/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (-.f64 z (*.f64 z x)) (if (<=.f64 z 5895646388884249/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 y x) (-.f64 z (*.f64 z x))))
(if (<=.f64 x -3800000000000000165760065217451436641891682514886872647634900276802368401296448893640335308095488) (*.f64 y x) (if (<=.f64 x -117400125672067664) (*.f64 z (neg.f64 x)) (if (<=.f64 x -7625795821487081/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (*.f64 y x) (if (<=.f64 x 2747584446588255/2535301200456458802993406410752) z (*.f64 y x)))))
(if (<=.f64 z -6683370001119860228096) z (if (<=.f64 z 5895646388884249/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 y x) (if (<=.f64 z 2037573166500653/77371252455336267181195264) z (if (<=.f64 z 22580619758485436317671515819980458431865372212512238560220256875591727432770896527360) (*.f64 y x) z))))
z
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y))
(if (<=.f64 z -6683370001119860228096) (-.f64 z (*.f64 z x)) (if (<=.f64 z 5895646388884249/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 x (-.f64 y z)) (if (<=.f64 z 2037573166500653/77371252455336267181195264) (-.f64 z (*.f64 z x)) (if (<=.f64 z 22580619758485436317671515819980458431865372212512238560220256875591727432770896527360) (*.f64 x (-.f64 y z)) (-.f64 z (*.f64 z x))))))
(if (<=.f64 z -6683370001119860228096) (-.f64 z (*.f64 x z)) (if (<=.f64 z 5895646388884249/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 x (-.f64 y z)) (if (<=.f64 z 2037573166500653/77371252455336267181195264) (-.f64 z (*.f64 x z)) (if (<=.f64 z 22580619758485436317671515819980458431865372212512238560220256875591727432770896527360) (*.f64 x (-.f64 y z)) (-.f64 z (*.f64 x z))))))
(if (<=.f64 z -4528906942734387/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (-.f64 z (*.f64 z x)) (if (<=.f64 z 5895646388884249/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 y x) (-.f64 z (*.f64 z x))))
(if (<=.f64 z -4528906942734387/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (-.f64 z (*.f64 x z)) (if (<=.f64 z 5895646388884249/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 x y) (-.f64 z (*.f64 x z))))
(if (<=.f64 x -3800000000000000165760065217451436641891682514886872647634900276802368401296448893640335308095488) (*.f64 y x) (if (<=.f64 x -117400125672067664) (*.f64 z (neg.f64 x)) (if (<=.f64 x -7625795821487081/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (*.f64 y x) (if (<=.f64 x 2747584446588255/2535301200456458802993406410752) z (*.f64 y x)))))
(if (<=.f64 x -3800000000000000165760065217451436641891682514886872647634900276802368401296448893640335308095488) (*.f64 x y) (if (<=.f64 x -117400125672067664) (*.f64 z (neg.f64 x)) (if (<=.f64 x -7625795821487081/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (*.f64 x y) (if (<=.f64 x 2747584446588255/2535301200456458802993406410752) z (*.f64 x y)))))
(if (<=.f64 z -6683370001119860228096) z (if (<=.f64 z 5895646388884249/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 y x) (if (<=.f64 z 2037573166500653/77371252455336267181195264) z (if (<=.f64 z 22580619758485436317671515819980458431865372212512238560220256875591727432770896527360) (*.f64 y x) z))))
(if (<=.f64 z -6683370001119860228096) z (if (<=.f64 z 5895646388884249/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 x y) (if (<=.f64 z 2037573166500653/77371252455336267181195264) z (if (<=.f64 z 22580619758485436317671515819980458431865372212512238560220256875591727432770896527360) (*.f64 x y) z))))
z

end57.0ms (2.5%)

Stop Event
fuel
Compiler

Compiled 275 to 132 computations (52% saved)

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