Details

Time bar (total: 3.1s)

analyze339.0ms (10.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
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)

sample1.3s (40.8%)

Results
1.1s8256×body256valid
144.0ms1207×body256invalid

preprocess101.0ms (3.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02044
14344
28744
315144
433736
568032
6114032
7186332
8248432
9278232
10285732
11285832
12285832
033
Stop Event
1×saturated
1×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))
(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 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)

simplify33.0ms (1.1%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
0911
11711
23011
35711
41269
52188
63468
75578
89608
911458
1012058
1112158
Stop Event
1×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))
(-.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)

eval1.0ms (0%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

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

Compiled 21 to 13 computations (38.1% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓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
1.0ms
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))

rewrite76.0ms (2.4%)

Algorithm
1×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
2262318
Stop Event
1×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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((x 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 x (pow.f64 (cbrt.f64 y) 2)) (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 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 +.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 expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) z)))))) (#(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 (*.f64 3 (log.f64 (*.f64 (-.f64 1 x) z))) 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 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)))))))

simplify65.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
345×fma-def_binary64
255×fma-neg_binary64
50×cancel-sign-sub-inv_binary64
47×unsub-neg_binary64
38×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023453
158424
2125424
3252424
4524424
5882424
61156424
71225424
81227424
Stop Event
1×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))

localize14.0ms (0.5%)

Compiler

Compiled 15 to 5 computations (66.7% saved)

eval72.0ms (2.3%)

Compiler

Compiled 1974 to 1081 computations (45.2% saved)

prune145.0ms (4.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1325137
Fresh000
Picked011
Done011
Total1327139
Error
0b
Counts
139 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
▶38.7b
(*.f64 y x)
▶24.2b
(-.f64 z (*.f64 z x))
▶24.2b
(*.f64 z (-.f64 1 x))
▶29.5b
(*.f64 x (-.f64 y z))
33.4b
z
✓0b
(fma.f64 x (-.f64 y z) z)
Compiler

Compiled 55 to 36 computations (34.5% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

series7.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

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

rewrite66.0ms (2.1%)

Algorithm
1×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
1×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 expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))))) (#(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))))))))

simplify62.0ms (2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
011240
122240
243240
362240
492240
5158240
6287240
7418240
8599240
9737240
10749240
Stop Event
1×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 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 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 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)

localize4.0ms (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 z (-.f64 1 x))
Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 z (-.f64 1 x))
0.0ms
z
@0
(*.f64 z (-.f64 1 x))
0.0ms
z
@inf
(*.f64 z (-.f64 1 x))
0.0ms
x
@inf
(*.f64 z (-.f64 1 x))
0.0ms
z
@-inf
(*.f64 z (-.f64 1 x))

rewrite61.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
617×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
561×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11227
215107
Stop Event
1×node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 z (-.f64 1 x))
Outputs
((#(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 (+.f64 1 (*.f64 z (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) z) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) z) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (-.f64 1 x))))))))

simplify21.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
133×fma-def_binary64
90×fma-neg_binary64
22×cancel-sign-sub-inv_binary64
21×associate-*r*_binary64
17×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0885
11476
23076
34676
46476
512876
625376
735976
845776
953376
Stop Event
1×saturated
Counts
29 → 23
Calls
Call 1
Inputs
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)))
Outputs
z
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(fma.f64 -1 (*.f64 z x) z)
(-.f64 z (*.f64 z x))
(fma.f64 z (neg.f64 x) z)
(*.f64 z (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(fma.f64 -1 (*.f64 z x) z)
(-.f64 z (*.f64 z x))
(fma.f64 z (neg.f64 x) z)
(*.f64 z (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(fma.f64 -1 (*.f64 z x) z)
(-.f64 z (*.f64 z x))
(fma.f64 z (neg.f64 x) z)
(*.f64 z (-.f64 1 x))
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(fma.f64 -1 (*.f64 z x) z)
(-.f64 z (*.f64 z x))
(fma.f64 z (neg.f64 x) z)
(*.f64 z (-.f64 1 x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(fma.f64 -1 (*.f64 z x) z)
(-.f64 z (*.f64 z x))
(fma.f64 z (neg.f64 x) z)
(*.f64 z (-.f64 1 x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(fma.f64 -1 (*.f64 z x) z)
(-.f64 z (*.f64 z x))
(fma.f64 z (neg.f64 x) z)
(*.f64 z (-.f64 1 x))
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(fma.f64 -1 (*.f64 z x) z)
(-.f64 z (*.f64 z x))
(fma.f64 z (neg.f64 x) z)
(*.f64 z (-.f64 1 x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(fma.f64 -1 (*.f64 z x) z)
(-.f64 z (*.f64 z x))
(fma.f64 z (neg.f64 x) z)
(*.f64 z (-.f64 1 x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(fma.f64 -1 (*.f64 z x) z)
(-.f64 z (*.f64 z x))
(fma.f64 z (neg.f64 x) z)
(*.f64 z (-.f64 1 x))

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite53.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
649×pow1_binary64
604×add-log-exp_binary64
604×log1p-expm1-u_binary64
604×expm1-log1p-u_binary64
591×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11137
216507
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 z (*.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (*.f64 z (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z x)) (fma.f64 (neg.f64 x) z (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z x)) (fma.f64 (neg.f64 z) x (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z x)) (fma.f64 (*.f64 z (neg.f64 x)) 1 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 z (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 z (*.f64 z x))) (pow.f64 (cbrt.f64 (-.f64 z (*.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 z (*.f64 z x))) 2) (cbrt.f64 (-.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 z (*.f64 z x))) (sqrt.f64 (-.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z x) 3)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 z x) (+.f64 z (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z x) 2)) (/.f64 1 (+.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z z (*.f64 (*.f64 z x) (+.f64 z (*.f64 z x)))) (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 z (*.f64 z x)) (-.f64 (*.f64 z z) (pow.f64 (*.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z x) 3)) (fma.f64 z z (*.f64 (*.f64 z x) (+.f64 z (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z x) 2)) (+.f64 z (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z x) 3))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 z x) (+.f64 z (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z x) 2))) (neg.f64 (+.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 z (neg.f64 x)) 3)) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x))) (*.f64 z (*.f64 z (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x)))) (-.f64 z (*.f64 z (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 z (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 z (*.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 z (*.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 z (*.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 z (*.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 z (*.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 z (*.f64 z x))))))) (#(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 (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 z (neg.f64 x)))))))

simplify26.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
136×fma-def_binary64
71×fma-neg_binary64
22×cancel-sign-sub-inv_binary64
18×sub-neg_binary64
17×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014160
128160
247160
376160
4124160
5211160
6360160
7439160
8509160
9515160
Stop Event
1×saturated
Counts
62 → 45
Calls
Call 1
Inputs
(*.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 (+.f64 1 (*.f64 -1 x)) z)
(*.f64 (+.f64 1 (*.f64 -1 x)) z)
(*.f64 (+.f64 1 (*.f64 -1 x)) z)
(*.f64 (+.f64 1 (*.f64 -1 x)) z)
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)))
Outputs
(*.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 (+.f64 1 (*.f64 -1 x)) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 (+.f64 1 (*.f64 -1 x)) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 (+.f64 1 (*.f64 -1 x)) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 (+.f64 1 (*.f64 -1 x)) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
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))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 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))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 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))

eval29.0ms (0.9%)

Compiler

Compiled 916 to 349 computations (61.9% saved)

prune16.0ms (0.5%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New90292
Fresh101
Picked011
Done055
Total91899
Error
0b
Counts
99 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
33.4b
z
✓24.2b
(-.f64 z (*.f64 z x))
▶53.1b
(*.f64 z (neg.f64 x))
✓0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
✓38.7b
(*.f64 y x)
✓24.2b
(*.f64 z (-.f64 1 x))
✓29.5b
(*.f64 x (-.f64 y z))
✓0b
(fma.f64 x (-.f64 y z) z)
Compiler

Compiled 62 to 41 computations (33.9% 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)

prune8.0ms (0.3%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done066
Total088
Error
0b
Counts
8 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
33.4b
z
✓24.2b
(-.f64 z (*.f64 z x))
✓53.1b
(*.f64 z (neg.f64 x))
✓0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
✓38.7b
(*.f64 y x)
✓24.2b
(*.f64 z (-.f64 1 x))
✓29.5b
(*.f64 x (-.f64 y z))
✓0b
(fma.f64 x (-.f64 y z) z)
Compiler

Compiled 62 to 41 computations (33.9% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done077
Total088
Error
0b
Counts
8 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
33.4b
z
✓24.2b
(-.f64 z (*.f64 z x))
✓53.1b
(*.f64 z (neg.f64 x))
✓0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
✓38.7b
(*.f64 y x)
✓24.2b
(*.f64 z (-.f64 1 x))
✓29.5b
(*.f64 x (-.f64 y z))
✓0b
(fma.f64 x (-.f64 y z) z)
Compiler

Compiled 62 to 41 computations (33.9% saved)

regimes55.0ms (1.8%)

Counts
9 → 1
Calls
Call 1
Inputs
z
z
(*.f64 y x)
(*.f64 z (neg.f64 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(fma.f64 x (-.f64 y z) z)
Outputs
(fma.f64 x (-.f64 y z) z)
Calls

4 calls:

34.0ms
y
6.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
6.0ms
x
6.0ms
z
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1z
0b1(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Compiler

Compiled 66 to 36 computations (45.5% saved)

regimes28.0ms (0.9%)

Counts
8 → 1
Calls
Call 1
Inputs
z
z
(*.f64 y x)
(*.f64 z (neg.f64 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 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:

9.0ms
z
6.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
6.0ms
x
6.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Compiler

Compiled 60 to 35 computations (41.7% saved)

regimes70.0ms (2.3%)

Counts
7 → 3
Calls
Call 1
Inputs
z
z
(*.f64 y x)
(*.f64 z (neg.f64 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(*.f64 x (-.f64 y z))
Outputs
(*.f64 x (-.f64 y z))
z
(*.f64 x (-.f64 y z))
Calls

3 calls:

34.0ms
y
18.0ms
z
16.0ms
x
Results
ErrorSegmentsBranch
9.8b3x
14.3b5y
10.0b3z
Compiler

Compiled 39 to 22 computations (43.6% saved)

bsearch42.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
1.679305737098196e-31
2.8697349659186088e-27
20.0ms
-2.6640740322761635e-49
-6.508276833021614e-50
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes64.0ms (2.1%)

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

3 calls:

24.0ms
y
20.0ms
z
19.0ms
x
Results
ErrorSegmentsBranch
18.9b3x
16.2b5y
11.5b3z
Compiler

Compiled 34 to 20 computations (41.2% saved)

bsearch37.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
3.975618235014877e-152
9.014948054690121e-152
18.0ms
-4.0412847764825537e-128
-2.8219202000704695e-129
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes78.0ms (2.5%)

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

3 calls:

54.0ms
y
12.0ms
z
11.0ms
x
Results
ErrorSegmentsBranch
18.9b3x
23.6b5y
19.4b3z
Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch65.0ms (2.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
45.0ms
1.679305737098196e-31
2.8697349659186088e-27
20.0ms
-2.6640740322761635e-49
-6.508276833021614e-50
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
z
z
Outputs
z
Calls

3 calls:

3.0ms
y
3.0ms
z
3.0ms
x
Results
ErrorSegmentsBranch
33.4b1x
33.4b1y
33.4b1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify9.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
030100
145100
259100
365100
468100
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(if (<=.f64 x -7182329382750631936/26959946667150639794667015087019630673637144422540572481103610249216) (*.f64 x (-.f64 y z)) (if (<=.f64 x 245430808434819232/1461501637330902918203684832716283019655932542976) z (*.f64 x (-.f64 y z))))
(if (<=.f64 z -126158748923985008/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (-.f64 z (*.f64 z x)) (if (<=.f64 z 4688698073244213/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (*.f64 y x) (-.f64 z (*.f64 z x))))
(if (<=.f64 x -7182329382750631936/26959946667150639794667015087019630673637144422540572481103610249216) (*.f64 y x) (if (<=.f64 x 245430808434819232/1461501637330902918203684832716283019655932542976) z (*.f64 y x)))
z
Outputs
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(+.f64 (*.f64 z (-.f64 1 x)) (*.f64 x y))
(if (<=.f64 x -7182329382750631936/26959946667150639794667015087019630673637144422540572481103610249216) (*.f64 x (-.f64 y z)) (if (<=.f64 x 245430808434819232/1461501637330902918203684832716283019655932542976) z (*.f64 x (-.f64 y z))))
(if (<=.f64 x -3506996768921207/13164036458569648337239753460458804039861886925068638906788872192) (*.f64 x (-.f64 y z)) (if (<=.f64 x 7669712763588101/45671926166590716193865151022383844364247891968) z (*.f64 x (-.f64 y z))))
(if (<=.f64 z -126158748923985008/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (-.f64 z (*.f64 z x)) (if (<=.f64 z 4688698073244213/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (*.f64 y x) (-.f64 z (*.f64 z x))))
(if (<=.f64 z -7884921807749063/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (-.f64 z (*.f64 x z)) (if (<=.f64 z 4688698073244213/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (*.f64 x y) (-.f64 z (*.f64 x z))))
(if (<=.f64 x -7182329382750631936/26959946667150639794667015087019630673637144422540572481103610249216) (*.f64 y x) (if (<=.f64 x 245430808434819232/1461501637330902918203684832716283019655932542976) z (*.f64 y x)))
(if (<=.f64 x -3506996768921207/13164036458569648337239753460458804039861886925068638906788872192) (*.f64 x y) (if (<=.f64 x 7669712763588101/45671926166590716193865151022383844364247891968) z (*.f64 x y)))
z
Compiler

Compiled 89 to 49 computations (44.9% saved)

soundness85.0ms (2.7%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
0911
11711
23011
35711
41269
52188
63468
75578
89608
911458
1012058
1112158
Stop Event
1×saturated
Compiler

Compiled 210 to 134 computations (36.2% saved)

end42.0ms (1.4%)

Compiler

Compiled 74 to 31 computations (58.1% saved)

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