Details

Time bar (total: 1.8s)

analyze572.0ms (31%)

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%60.3%5.4%10
41.3%51.6%7.1%11
46.8%44.1%9.1%12
53.2%35.8%11%13
58%29.1%12.9%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample938.0ms (50.8%)

Results
840.0ms8256×body128valid
83.0ms817×body128invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess65.0ms (3.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02044
14444
28844
315244
433836
568132
6113032
7184932
8246332
9276132
10283632
11283732
12283732
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))
(-.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)
(+.f64 (*.f64 (-.f64 1 y) x) (*.f64 y z))
(fma.f64 (-.f64 1 y) x (*.f64 y z))
(fma.f64 y z (*.f64 x (-.f64 1 y)))
(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 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)
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify26.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
354×fma-def_binary64
246×fma-neg_binary64
53×cancel-sign-sub-inv_binary64
45×distribute-rgt-in_binary64
40×sub-neg_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0911
11711
23011
35711
41269
52188
63468
75578
89648
911468
1012068
1112168
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)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x (-.f64 z y) y)
▶0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Compiler

Compiled 60 to 36 computations (40% saved)

localize6.0ms (0.3%)

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))

series11.0ms (0.6%)

Counts
2 → 48
Calls

15 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(*.f64 (-.f64 1 x) y)
1.0ms
y
@inf
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
1.0ms
x
@inf
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
1.0ms
x
@0
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
1.0ms
y
@-inf
(*.f64 (-.f64 1 x) y)

rewrite53.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
476×log-prod_binary64
382×fma-def_binary64
174×expm1-udef_binary64
173×log1p-udef_binary64
172×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119218
2261618
Stop Event
1×node limit
Counts
2 → 99
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 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)) (pow.f64 (*.f64 (-.f64 1 x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (pow.f64 (*.f64 x z) 2)) (/.f64 1 (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) (pow.f64 (*.f64 x z) 3)) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)) (pow.f64 (*.f64 (-.f64 1 x) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) (pow.f64 (*.f64 x z) 3)) (+.f64 (pow.f64 (*.f64 x z) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (*.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (pow.f64 (*.f64 x z) 2)) (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) (pow.f64 (*.f64 x z) 3))) (neg.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)) (pow.f64 (*.f64 (-.f64 1 x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (pow.f64 (*.f64 x z) 2))) (neg.f64 (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x z) 2) (pow.f64 (*.f64 (-.f64 1 x) y) 2)) (-.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 1)))) (#(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 sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) y))) (pow.f64 (exp.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y) (+.f64 1 (expm1.f64 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) y))) (+.f64 1 (expm1.f64 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x z))) (pow.f64 (exp.f64 (-.f64 1 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) z) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x z))) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1 x) y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x z) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) y (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (-.f64 1 x) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) y) 1 (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x z) 1 (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (cbrt.f64 (*.f64 x z)) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (-.f64 1 x)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) 2) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (*.f64 (-.f64 1 x) y)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) z) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) x) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((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 (cbrt.f64 (*.f64 x x))) (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 expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 1))))))
((#(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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y)))) (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 (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 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 log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) y)))))) (#(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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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))))))

simplify31.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
261×fma-def_binary64
257×fma-neg_binary64
59×distribute-rgt-in_binary64
37×cancel-sign-sub-inv_binary64
36×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022475
157394
2124340
3254340
4536340
5960340
61142340
71166340
Stop Event
1×saturated
Counts
147 → 112
Calls
Call 1
Inputs
y
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(*.f64 (-.f64 z y) x)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(*.f64 -1 (*.f64 (-.f64 y z) x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(*.f64 z x)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(*.f64 (-.f64 1 x) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 y (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(*.f64 z x)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(*.f64 z x)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
y
(-.f64 y (*.f64 y x))
(-.f64 y (*.f64 y x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(-.f64 y (*.f64 y x))
(-.f64 y (*.f64 y x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(-.f64 y (*.f64 y x))
(-.f64 y (*.f64 y x))
(-.f64 y (*.f64 y x))
Outputs
y
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 -1 (*.f64 (-.f64 y z) x))
(*.f64 x (-.f64 z y))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 (-.f64 1 x) y)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 y (*.f64 z x)) (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
y
(-.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 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 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 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 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))

prune59.0ms (3.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1111112
Fresh101
Picked101
Done000
Total1131114
Error
0b
Counts
114 → 1
Alt Table
StatusErrorProgram
▶0b
(fma.f64 (-.f64 1 x) y (*.f64 x z))
Compiler

Compiled 1623 to 865 computations (46.7% saved)

localize5.0ms (0.3%)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Alt Table
StatusErrorProgram
✓0b
(fma.f64 (-.f64 1 x) y (*.f64 x z))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes38.0ms (2.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
13 → 1
Compiler

Compiled 106 to 55 computations (48.1% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11311
21711
31911
42011
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 1 x) y (*.f64 x z))
Outputs
(fma.f64 (-.f64 1 x) y (*.f64 x z))

end36.0ms (2%)

Stop Event
1×done
Compiler

Compiled 33 to 21 computations (36.4% saved)

Profiling

Loading profile data...