Details

Time bar (total: 2.9s)

analyze344.0ms (12%)

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)

sample1.0s (35.6%)

Results
883.0ms8256×body256valid
126.0ms1204×body256invalid

preprocess105.0ms (3.6%)

Algorithm
2×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
1×saturated
1×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 (1.1%)

Algorithm
1×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
1×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%)

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 z y) y)
▶0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
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
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
@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))

rewrite78.0ms (2.7%)

Algorithm
1×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
1×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)))))))

simplify52.0ms (1.8%)

Algorithm
1×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
1×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)

eval53.0ms (1.8%)

Compiler

Compiled 1963 to 1074 computations (45.3% saved)

prune42.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1315136
Fresh000
Picked011
Done011
Total1317138
Error
0b
Counts
138 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶41.5b
(*.f64 z x)
✓0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
✓0b
(fma.f64 x (-.f64 z y) y)
▶21.2b
(-.f64 y (*.f64 y x))
▶21.2b
(*.f64 y (-.f64 1 x))
▶29.1b
(*.f64 (-.f64 z y) x)
34.5b
y
Compiler

Compiled 55 to 36 computations (34.5% saved)

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(*.f64 y (-.f64 1 x))
0.0ms
y
@inf
(*.f64 y (-.f64 1 x))
0.0ms
y
@-inf
(*.f64 y (-.f64 1 x))
0.0ms
x
@-inf
(*.f64 y (-.f64 1 x))
0.0ms
x
@inf
(*.f64 y (-.f64 1 x))

rewrite65.0ms (2.3%)

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 y (-.f64 1 x))
Outputs
((#(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 (+.f64 1 (*.f64 y (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (+.f64 1 (fma.f64 x x x)))))) (#(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))) (+.f64 1 (fma.f64 x x x)))))) (#(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 y (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 x))))))))

simplify25.0ms (0.9%)

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
0794
11376
23076
34676
46476
512876
625376
735976
845776
953376
Stop Event
1×saturated
Counts
29 → 22
Calls
Call 1
Inputs
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)))
Outputs
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))

localize6.0ms (0.2%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize9.0ms (0.3%)

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)

series8.0ms (0.3%)

Counts
1 → 24
Calls

9 calls:

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

rewrite74.0ms (2.6%)

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 (-.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)))))))

simplify41.0ms (1.4%)

Algorithm
1×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
1×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))

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 5 computations (61.5% saved)

series5.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite51.0ms (1.8%)

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 y (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 y) x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2) (cbrt.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) (sqrt.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x)))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (*.f64 y x)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (+.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2))) (neg.f64 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 y (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 y (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 y (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 y (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 y (*.f64 y x))))))) (#(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 (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 y (neg.f64 x)))))))

simplify24.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
124×fma-def_binary64
69×fma-neg_binary64
20×cancel-sign-sub-inv_binary64
18×associate-*r*_binary64
18×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013160
133160
251160
388160
4122160
5201160
6341160
7419160
8489160
9495160
Stop Event
1×saturated
Counts
62 → 44
Calls
Call 1
Inputs
(*.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 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.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)))
Outputs
(*.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 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
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))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 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))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 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))

eval17.0ms (0.6%)

Compiler

Compiled 905 to 343 computations (62.1% saved)

prune16.0ms (0.6%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New89291
Fresh101
Picked011
Done055
Total90898
Error
0b
Counts
98 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓41.5b
(*.f64 z x)
✓0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
✓0b
(fma.f64 x (-.f64 z y) y)
✓21.2b
(-.f64 y (*.f64 y x))
✓21.2b
(*.f64 y (-.f64 1 x))
▶49.7b
(*.f64 y (neg.f64 x))
✓29.1b
(*.f64 (-.f64 z y) x)
34.5b
y
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)

prune3.0ms (0.1%)

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
✓41.5b
(*.f64 z x)
✓0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
✓0b
(fma.f64 x (-.f64 z y) y)
✓21.2b
(-.f64 y (*.f64 y x))
✓21.2b
(*.f64 y (-.f64 1 x))
✓49.7b
(*.f64 y (neg.f64 x))
✓29.1b
(*.f64 (-.f64 z y) x)
34.5b
y
Compiler

Compiled 62 to 41 computations (33.9% saved)

eval1.0ms (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
✓41.5b
(*.f64 z x)
✓0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
✓0b
(fma.f64 x (-.f64 z y) y)
✓21.2b
(-.f64 y (*.f64 y x))
✓21.2b
(*.f64 y (-.f64 1 x))
✓49.7b
(*.f64 y (neg.f64 x))
✓29.1b
(*.f64 (-.f64 z y) x)
34.5b
y
Compiler

Compiled 62 to 41 computations (33.9% saved)

regimes27.0ms (1%)

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

7.0ms
z
7.0ms
x
6.0ms
y
6.0ms
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1z
0b1(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Compiler

Compiled 66 to 36 computations (45.5% saved)

regimes25.0ms (0.9%)

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

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

Compiled 60 to 35 computations (41.7% saved)

regimes58.0ms (2%)

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

3 calls:

24.0ms
z
18.0ms
y
14.0ms
x
Results
ErrorSegmentsBranch
11.0b3x
15.0b3y
11.8b5z
Compiler

Compiled 39 to 22 computations (43.6% saved)

bsearch36.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
6.990176917716855e-61
1.4352798631357897e-60
18.0ms
-2.8173423723368938e-39
-1.6849003050653718e-40
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes57.0ms (2%)

Counts
6 → 5
Calls
Call 1
Inputs
y
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
Outputs
(*.f64 z x)
(-.f64 y (*.f64 y x))
(*.f64 z x)
(-.f64 y (*.f64 y x))
(*.f64 z x)
Calls

3 calls:

26.0ms
y
25.0ms
z
4.0ms
x
Results
ErrorSegmentsBranch
21.2b1x
15.9b5y
13.5b5z
Compiler

Compiled 34 to 20 computations (41.2% saved)

bsearch75.0ms (2.6%)

Algorithm
4×binary-search
Steps
TimeLeftRight
19.0ms
3.5952343217733636e-9
1.827764119351436e-8
18.0ms
1.617403402550603e-29
4.5064088884595e-29
18.0ms
2.1874775837541086e-61
9.114762205896105e-60
19.0ms
-9.331122644302201e+55
-1.3269625450072888e+54
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes70.0ms (2.4%)

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

3 calls:

38.0ms
z
16.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
20.8b4x
28.1b3y
21.6b11z
Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch152.0ms (5.3%)

Algorithm
3×binary-search
Steps
TimeLeftRight
114.0ms
8.548317577631866e+37
2.1444884059788043e+40
19.0ms
3.214207784227064e-69
2.3469851786663863e-66
20.0ms
-2.8173423723368938e-39
-1.6849003050653718e-40
Compiler

Compiled 123 to 90 computations (26.8% saved)

regimes44.0ms (1.5%)

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

3 calls:

17.0ms
z
14.0ms
y
11.0ms
x
Results
ErrorSegmentsBranch
23.3b3x
28.1b3y
24.9b5z
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch39.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
3.214207784227064e-69
2.3469851786663863e-66
19.0ms
-2.8173423723368938e-39
-1.6849003050653718e-40
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

3 calls:

4.0ms
x
3.0ms
y
3.0ms
z
Results
ErrorSegmentsBranch
34.5b1x
34.5b1y
34.5b1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify10.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
8×*-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
045153
164153
274153
379153
481153
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(if (<=.f64 x -8635129245397629/3064991081731777716716694054300618367237478244367204352) (*.f64 (-.f64 z y) x) (if (<=.f64 x 1264698733501403/1809251394333065553493296640760748560207343510400633813116524750123642650624) y (*.f64 (-.f64 z y) x)))
(if (<=.f64 z -93311226443022012775017555108397308323362149566441848832) (*.f64 z x) (if (<=.f64 z 3166157494783557/14474011154664524427946373126085988481658748083205070504932198000989141204992) (-.f64 y (*.f64 y x)) (if (<=.f64 z 721386023270349/44601490397061246283071436545296723011960832) (*.f64 z x) (if (<=.f64 z 4346371599156509/1208925819614629174706176) (-.f64 y (*.f64 y x)) (*.f64 z x)))))
(if (<=.f64 x -8635129245397629/3064991081731777716716694054300618367237478244367204352) (*.f64 z x) (if (<=.f64 x 3122070737783853/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) y (if (<=.f64 x 89999999999999992307089061666856370176) (*.f64 z x) (*.f64 y (neg.f64 x)))))
(if (<=.f64 x -8635129245397629/3064991081731777716716694054300618367237478244367204352) (*.f64 z x) (if (<=.f64 x 3122070737783853/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) 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 -8635129245397629/3064991081731777716716694054300618367237478244367204352) (*.f64 (-.f64 z y) x) (if (<=.f64 x 1264698733501403/1809251394333065553493296640760748560207343510400633813116524750123642650624) y (*.f64 (-.f64 z y) x)))
(if (<=.f64 x -8635129245397629/3064991081731777716716694054300618367237478244367204352) (*.f64 x (-.f64 z y)) (if (<=.f64 x 1264698733501403/1809251394333065553493296640760748560207343510400633813116524750123642650624) y (*.f64 x (-.f64 z y))))
(if (<=.f64 z -93311226443022012775017555108397308323362149566441848832) (*.f64 z x) (if (<=.f64 z 3166157494783557/14474011154664524427946373126085988481658748083205070504932198000989141204992) (-.f64 y (*.f64 y x)) (if (<=.f64 z 721386023270349/44601490397061246283071436545296723011960832) (*.f64 z x) (if (<=.f64 z 4346371599156509/1208925819614629174706176) (-.f64 y (*.f64 y x)) (*.f64 z x)))))
(if (<=.f64 z -93311226443022012775017555108397308323362149566441848832) (*.f64 x z) (if (<=.f64 z 3166157494783557/14474011154664524427946373126085988481658748083205070504932198000989141204992) (-.f64 y (*.f64 x y)) (if (<=.f64 z 721386023270349/44601490397061246283071436545296723011960832) (*.f64 x z) (if (<=.f64 z 4346371599156509/1208925819614629174706176) (-.f64 y (*.f64 x y)) (*.f64 x z)))))
(if (<=.f64 x -8635129245397629/3064991081731777716716694054300618367237478244367204352) (*.f64 z x) (if (<=.f64 x 3122070737783853/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) y (if (<=.f64 x 89999999999999992307089061666856370176) (*.f64 z x) (*.f64 y (neg.f64 x)))))
(if (<=.f64 x -8635129245397629/3064991081731777716716694054300618367237478244367204352) (*.f64 x z) (if (<=.f64 x 3122070737783853/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) y (if (<=.f64 x 89999999999999992307089061666856370176) (*.f64 x z) (*.f64 y (neg.f64 x)))))
(if (<=.f64 x -8635129245397629/3064991081731777716716694054300618367237478244367204352) (*.f64 x z) (if (<=.f64 x 3122070737783853/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) y (if (<=.f64 x 89999999999999992307089061666856370176) (*.f64 x z) (*.f64 x (neg.f64 y)))))
(if (<=.f64 x -8635129245397629/3064991081731777716716694054300618367237478244367204352) (*.f64 z x) (if (<=.f64 x 3122070737783853/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) y (*.f64 z x)))
(if (<=.f64 x -8635129245397629/3064991081731777716716694054300618367237478244367204352) (*.f64 x z) (if (<=.f64 x 3122070737783853/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) y (*.f64 x z)))
y
Compiler

Compiled 129 to 70 computations (45.7% saved)

soundness80.0ms (2.8%)

Algorithm
1×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
1×saturated
Compiler

Compiled 197 to 126 computations (36% saved)

end56.0ms (2%)

Compiler

Compiled 111 to 48 computations (56.8% saved)

Profiling

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