Details

Time bar (total: 4.1s)

analyze213.0ms (5.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
18.8%18.7%81.1%0.1%0%0%0%8
25.8%25%71.8%0.1%3.1%0%0%9
36.4%34.3%60.1%0.1%5.5%0%0%10
44.5%41.3%51.5%0.1%7%0%0%11
51.5%46.8%44.1%0.1%9%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (26%)

Results
917.0ms8256×body256valid
135.0ms1201×body256infinite
Bogosity

preprocess98.0ms (2.4%)

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)

simplify36.0ms (0.9%)

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

Compiled 21 to 13 computations (38.1% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 27 to 14 computations (48.1% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
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
@0
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
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))

rewrite71.0ms (1.7%)

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
0911
119211
2262211
Stop Event
1×node limit
Counts
1 → 75
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
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 1 x) (*.f64 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 (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 (log.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))) (sqrt.f64 (log.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)))))))) (#(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 expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(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 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 1) 1))))) (#(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 (pow.f64 (cbrt.f64 x) 2) (*.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 (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))))))

simplify45.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
329×fma-def_binary64
265×fma-neg_binary64
63×distribute-rgt-in_binary64
62×cancel-sign-sub-inv_binary64
49×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019322
143264
296264
3229264
4504264
5814264
61141264
71347264
81365264
Stop Event
1×saturated
Counts
111 → 85
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)))
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 (*.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 (*.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 (*.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)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 15 to 5 computations (66.7% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite55.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
740×pow1_binary64
686×add-log-exp_binary64
686×log1p-expm1-u_binary64
686×expm1-log1p-u_binary64
670×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11308
217978
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 x (-.f64 z y) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 x (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 z y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 z y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (-.f64 z y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 z y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 z y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) 2) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) (sqrt.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (-.f64 (*.f64 y y) (*.f64 (*.f64 x (-.f64 z y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (-.f64 (*.f64 x (-.f64 z y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 z y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 z y) y)))))))

simplify45.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
422×fma-def_binary64
271×fma-neg_binary64
63×distribute-rgt-in_binary64
42×unsub-neg_binary64
40×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022270
160264
2116264
3230264
4403264
5771264
61141264
71370264
81380264
Stop Event
1×saturated
Counts
57 → 33
Calls
Call 1
Inputs
y
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(*.f64 z x)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(*.f64 z x)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
Outputs
y
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(*.f64 z x)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(*.f64 z x)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 (-.f64 z y) x y)
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 (-.f64 z y) x y)
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(fma.f64 (-.f64 z y) x y)

eval30.0ms (0.7%)

Compiler

Compiled 1605 to 830 computations (48.3% saved)

prune21.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1135118
Fresh000
Picked011
Done011
Total1137120
Error
0b
Counts
120 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(fma.f64 x (-.f64 z y) y)
▶25.1b
(-.f64 y (*.f64 y x))
▶37.7b
(*.f64 z x)
▶0.0b
(+.f64 (*.f64 (-.f64 z y) x) y)
▶26.4b
(*.f64 (-.f64 z y) x)
36.5b
y
✓0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Compiler

Compiled 57 to 36 computations (36.8% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

9 calls:

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

rewrite55.0ms (1.3%)

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)))))))

simplify29.0ms (0.7%)

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))

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 6 computations (71.4% saved)

series3.0ms (0.1%)

Counts
1 → 27
Calls

9 calls:

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

rewrite65.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
951×pow1_binary64
883×add-log-exp_binary64
883×log1p-expm1-u_binary64
883×expm1-log1p-u_binary64
864×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11598
223488
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 z y) x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 z y) x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (-.f64 (*.f64 (-.f64 z y) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (-.f64 z y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 z y) x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 z y) x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 z y) x y)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 z y) x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 z y) x y)) 2) (cbrt.f64 (fma.f64 (-.f64 z y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 z y) x y)) (sqrt.f64 (fma.f64 (-.f64 z y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (-.f64 z y) x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y (-.f64 y (*.f64 (-.f64 z y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y y)) (/.f64 1 (-.f64 (*.f64 (-.f64 z y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y (-.f64 y (*.f64 (-.f64 z y) x)))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (-.f64 z y) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (-.f64 z y) x) y) (-.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (-.f64 z y) x) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y (-.f64 y (*.f64 (-.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (-.f64 z y) x) 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y (*.f64 (-.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y y)) (-.f64 (*.f64 (-.f64 z y) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (-.f64 z y) x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y (-.f64 y (*.f64 (-.f64 z y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (-.f64 z y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (-.f64 z y) x) 2)) (-.f64 y (*.f64 (-.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 z y) x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 z y) x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 z y) x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 z y) x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 z y) x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 z y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 z y) x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 z y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 z y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 z y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 z y) x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 z y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (-.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 z y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 z y) x)) 2) (cbrt.f64 (*.f64 (-.f64 z y) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (-.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 z y) x)) (sqrt.f64 (*.f64 (-.f64 z y) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (-.f64 z y) x))))))

simplify41.0ms (1%)

Algorithm
1×egg-herbie
Rules
428×fma-def_binary64
267×fma-neg_binary64
63×distribute-rgt-in_binary64
42×unsub-neg_binary64
40×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021288
157228
2113192
3228192
4401192
5772192
61144192
71373192
81383192
Stop Event
1×saturated
Counts
62 → 47
Calls
Call 1
Inputs
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(*.f64 z x)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(*.f64 z x)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
y
(*.f64 (-.f64 z y) x)
(*.f64 (-.f64 z y) x)
Outputs
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(fma.f64 (neg.f64 y) x y)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(fma.f64 (neg.f64 y) x y)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(+.f64 y (neg.f64 (*.f64 y x)))
(fma.f64 (neg.f64 y) x y)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x))))
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
y
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))

localize5.0ms (0.1%)

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)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite54.0ms (1.3%)

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)))))))

simplify30.0ms (0.7%)

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))

eval29.0ms (0.7%)

Compiler

Compiled 1596 to 486 computations (69.5% saved)

prune32.0ms (0.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1374141
Fresh101
Picked011
Done235
Total1408148
Error
0b
Counts
148 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(fma.f64 x (-.f64 z y) y)
✓25.1b
(-.f64 y (*.f64 y x))
▶26.4b
(+.f64 (*.f64 z x) (*.f64 (neg.f64 y) x))
✓37.7b
(*.f64 z x)
36.5b
y
✓26.4b
(*.f64 (-.f64 z y) x)
▶11.8b
(+.f64 (*.f64 z x) y)
▶51.0b
(*.f64 y (neg.f64 x))
Compiler

Compiled 61 to 39 computations (36.1% saved)

localize5.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.1%)

Counts
1 → 9
Calls

9 calls:

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

rewrite67.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
707×pow1_binary64
655×add-log-exp_binary64
655×log1p-expm1-u_binary64
655×expm1-log1p-u_binary64
640×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
11295
217755
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 z x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 z x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z x) 2) (-.f64 (*.f64 z x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z x y)) (pow.f64 (cbrt.f64 (fma.f64 z x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z x y)) 2) (cbrt.f64 (fma.f64 z x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z x y)) (sqrt.f64 (fma.f64 z x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 y (-.f64 y (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 y y)) (/.f64 1 (-.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 y (-.f64 y (*.f64 z x)))) (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 z x) y) (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 y (-.f64 y (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 y 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 y y)) (-.f64 (*.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 y (-.f64 y (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 z x) 2)) (-.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) y)))))

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0524
1624
Stop Event
1×saturated
Counts
44 → 37
Calls
Call 1
Inputs
y
(*.f64 z x)
(*.f64 z x)
y
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
y
y
Outputs
y
(*.f64 z x)
(*.f64 z x)
y
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
y
y

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite59.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
835×pow1_binary64
773×add-log-exp_binary64
772×log1p-expm1-u_binary64
772×expm1-log1p-u_binary64
756×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089
11767
225637
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(+.f64 (*.f64 z x) (*.f64 (neg.f64 y) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x (+.f64 z y))) (/.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (/.f64 1 (*.f64 x (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 z y))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2)) (cbrt.f64 (*.f64 x (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 (*.f64 x (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (*.f64 (*.f64 z x) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (*.f64 (*.f64 z x) (*.f64 x y))) (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (+.f64 z y)) (pow.f64 (*.f64 x (+.f64 z y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (*.f64 x y) 3)) (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (*.f64 (*.f64 z x) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (*.f64 z x) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (*.f64 (*.f64 z x) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2)) (neg.f64 (*.f64 x (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (*.f64 x y) 3)) (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (*.f64 (*.f64 z x) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z x) 2)) (-.f64 (*.f64 x y) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 z y)) 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 x (+.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 x y))))))

simplify34.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
168×fma-def_binary64
110×fma-neg_binary64
38×unsub-neg_binary64
35×cancel-sign-sub-inv_binary64
29×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016330
136240
280240
3159240
4322240
5487240
6655240
7728240
8730240
Stop Event
1×saturated
Counts
80 → 52
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 (+.f64 z (*.f64 -1 y)) x)
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) 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))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))

eval19.0ms (0.5%)

Compiler

Compiled 1022 to 346 computations (66.1% saved)

prune20.0ms (0.5%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New86389
Fresh101
Picked101
Done156
Total89897
Error
0b
Counts
97 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓37.7b
(*.f64 z x)
36.5b
y
✓26.4b
(*.f64 (-.f64 z y) x)
▶26.4b
(-.f64 (*.f64 z x) (*.f64 x y))
▶11.8b
(fma.f64 z x y)
✓11.8b
(+.f64 (*.f64 z x) y)
✓51.0b
(*.f64 y (neg.f64 x))
✓25.1b
(-.f64 y (*.f64 y x))
Compiler

Compiled 58 to 37 computations (36.2% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series6.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@0
(-.f64 (*.f64 z x) (*.f64 x y))
0.0ms
z
@0
(-.f64 (*.f64 z x) (*.f64 x y))
0.0ms
x
@-inf
(-.f64 (*.f64 z x) (*.f64 x y))
0.0ms
y
@-inf
(-.f64 (*.f64 z x) (*.f64 x y))
0.0ms
y
@inf
(-.f64 (*.f64 z x) (*.f64 x y))

rewrite64.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
877×pow1_binary64
812×add-log-exp_binary64
812×log1p-expm1-u_binary64
812×expm1-log1p-u_binary64
795×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11607
222227
Stop Event
1×node limit
Counts
1 → 49
Calls
Call 1
Inputs
(-.f64 (*.f64 z x) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (+.f64 (*.f64 y (neg.f64 x)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 z y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 z y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 z y)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 z y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 z y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 z y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 z y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (*.f64 x (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 x)) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) 2) (cbrt.f64 (*.f64 x (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (-.f64 z y))) (sqrt.f64 (*.f64 x (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (*.f64 x y) (*.f64 x (+.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (-.f64 z y))) (/.f64 1 (*.f64 x (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (*.f64 x y) (*.f64 x (+.f64 z y)))) (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (+.f64 z y)) (*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (-.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (*.f64 x y) (*.f64 x (+.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (*.f64 x y) (*.f64 x (+.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (-.f64 z y)))) (neg.f64 (*.f64 x (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 z x) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (*.f64 z x) (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 z y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (*.f64 x (-.f64 z y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (*.f64 z x) (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 z y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (*.f64 x (-.f64 z y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 z y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) 2) (cbrt.f64 (*.f64 x (-.f64 z y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 z y))) (sqrt.f64 (*.f64 x (-.f64 z y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 y (neg.f64 x)))))))

simplify33.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
129×fma-def_binary64
70×fma-neg_binary64
37×unsub-neg_binary64
29×distribute-rgt-in_binary64
28×distribute-lft-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016330
143240
299240
3261240
4439240
5557240
6626240
7631240
Stop Event
1×saturated
Counts
85 → 56
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 (-.f64 z y) x)
(*.f64 (-.f64 z y) x)
(*.f64 (-.f64 z y) x)
(*.f64 (-.f64 z y) x)
(*.f64 (-.f64 z y) x)
(*.f64 (-.f64 z y) x)
(*.f64 (-.f64 z y) x)
(*.f64 (-.f64 z y) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 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))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))

localize4.0ms (0.1%)

Compiler

Compiled 10 to 4 computations (60% saved)

eval12.0ms (0.3%)

Compiler

Compiled 820 to 203 computations (75.2% saved)

prune23.0ms (0.6%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New56056
Fresh011
Picked011
Done066
Total56864
Error
0b
Counts
64 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓37.7b
(*.f64 z x)
36.5b
y
✓26.4b
(*.f64 (-.f64 z y) x)
✓26.4b
(-.f64 (*.f64 z x) (*.f64 x y))
✓11.8b
(fma.f64 z x y)
✓11.8b
(+.f64 (*.f64 z x) y)
✓51.0b
(*.f64 y (neg.f64 x))
✓25.1b
(-.f64 y (*.f64 y x))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes79.0ms (1.9%)

Counts
14 → 1
Calls
Call 1
Inputs
y
y
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 z x) y)
(-.f64 y (*.f64 y x))
(*.f64 (-.f64 z y) x)
(-.f64 (*.f64 z x) (*.f64 x y))
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 z x) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(fma.f64 z x y)
(fma.f64 x (-.f64 z y) y)
Outputs
(fma.f64 x (-.f64 z y) y)
Calls

4 calls:

19.0ms
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
18.0ms
y
18.0ms
z
18.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Compiler

Compiled 93 to 41 computations (55.9% saved)

regimes54.0ms (1.3%)

Counts
13 → 1
Calls
Call 1
Inputs
y
y
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 z x) y)
(-.f64 y (*.f64 y x))
(*.f64 (-.f64 z y) x)
(-.f64 (*.f64 z x) (*.f64 x y))
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 z x) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(fma.f64 z x y)
Outputs
(+.f64 (*.f64 (-.f64 z y) x) y)
Calls

4 calls:

17.0ms
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
11.0ms
x
10.0ms
z
9.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Compiler

Compiled 87 to 40 computations (54% saved)

regimes59.0ms (1.4%)

Counts
9 → 3
Calls
Call 1
Inputs
y
y
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 z x) y)
(-.f64 y (*.f64 y x))
(*.f64 (-.f64 z y) x)
(-.f64 (*.f64 z x) (*.f64 x y))
Outputs
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 z x) y)
(-.f64 (*.f64 z x) (*.f64 x y))
Calls

3 calls:

19.0ms
z
19.0ms
y
18.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
7.4b3y
6.6b3z
Compiler

Compiled 47 to 22 computations (53.2% saved)

bsearch42.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
8.396065635445211e-6
0.00698274610935229
21.0ms
-418.40284149480846
-2.6398201976349524e-6
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes55.0ms (1.3%)

Counts
8 → 3
Calls
Call 1
Inputs
y
y
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 z x) y)
(-.f64 y (*.f64 y x))
(*.f64 (-.f64 z y) x)
Outputs
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 z x) y)
(*.f64 (-.f64 z y) x)
Calls

3 calls:

18.0ms
y
16.0ms
z
16.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
7.4b3y
6.6b3z
Compiler

Compiled 40 to 20 computations (50% saved)

bsearch44.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
8.396065635445211e-6
0.00698274610935229
21.0ms
-418.40284149480846
-2.6398201976349524e-6
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes54.0ms (1.3%)

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

3 calls:

22.0ms
x
15.0ms
z
15.0ms
y
Results
ErrorSegmentsBranch
9.3b4x
7.4b3y
6.6b3z
Compiler

Compiled 35 to 18 computations (48.6% saved)

bsearch41.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
1.6057449457691527e-129
2.0455216389460027e-124
20.0ms
-1.348786673229842e-110
-2.265318204408654e-115
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes53.0ms (1.3%)

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

3 calls:

23.0ms
y
14.0ms
z
14.0ms
x
Results
ErrorSegmentsBranch
10.5b2x
9.2b5y
10.5b3z
Compiler

Compiled 30 to 16 computations (46.7% saved)

bsearch430.0ms (10.5%)

Algorithm
4×binary-search
Steps
TimeLeftRight
155.0ms
9.135039910786181e+89
1.740711501206785e+104
19.0ms
1.5641243320237793e+46
9.973186838267318e+46
125.0ms
-4.057061783495883e+66
-1.0107671214470581e+65
131.0ms
-6.25229486175369e+98
-1.673913160088407e+93
Compiler

Compiled 460 to 325 computations (29.3% saved)

regimes87.0ms (2.1%)

Counts
5 → 8
Calls
Call 1
Inputs
y
y
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
Outputs
(*.f64 y (neg.f64 x))
(*.f64 z x)
y
(*.f64 z x)
y
(*.f64 z x)
y
(*.f64 z x)
Calls

3 calls:

35.0ms
z
31.0ms
x
20.0ms
y
Results
ErrorSegmentsBranch
19.6b8x
22.7b5y
24.5b9z
Compiler

Compiled 25 to 15 computations (40% saved)

bsearch225.0ms (5.5%)

Algorithm
7×binary-search
Steps
TimeLeftRight
19.0ms
9.825580374290593e-31
4.5333973589737574e-26
19.0ms
4.170884321887113e-86
5.769163768694703e-68
19.0ms
4.750808681574471e-141
1.2764510125025504e-132
38.0ms
-2.871013757075938e-139
-2.0287768261998168e-140
22.0ms
-1.5294736021662938e-74
-1.6377594936647355e-75
69.0ms
-8.968172239417945e+27
-5.931383506665957e+27
38.0ms
-3.04331323010427e+150
-2.2828468534593596e+146
Compiler

Compiled 186 to 137 computations (26.3% saved)

regimes56.0ms (1.4%)

Counts
4 → 7
Calls
Call 1
Inputs
y
y
y
(*.f64 z x)
Outputs
(*.f64 z x)
y
(*.f64 z x)
y
(*.f64 z x)
y
(*.f64 z x)
Calls

3 calls:

25.0ms
x
19.0ms
z
11.0ms
y
Results
ErrorSegmentsBranch
20.9b7x
24.1b3y
27.3b5z
Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch163.0ms (4%)

Algorithm
6×binary-search
Steps
TimeLeftRight
19.0ms
9.825580374290593e-31
4.5333973589737574e-26
19.0ms
4.170884321887113e-86
5.769163768694703e-68
18.0ms
4.750808681574471e-141
1.2764510125025504e-132
19.0ms
-2.871013757075938e-139
-2.0287768261998168e-140
18.0ms
-1.5294736021662938e-74
-1.6377594936647355e-75
69.0ms
-8.968172239417945e+27
-5.931383506665957e+27
Compiler

Compiled 66 to 49 computations (25.8% saved)

regimes13.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
3 → 1
Calls
Call 1
Inputs
y
y
y
Outputs
y
Calls

3 calls:

4.0ms
z
4.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
36.5b1x
36.5b1y
36.5b1z
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify18.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
7×*-commutative_binary64
6×sub-neg_binary64
3×cancel-sign-sub-inv_binary64
3×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064300
185300
296300
3101300
4103300
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(if (<=.f64 x -7360620629088969/17592186044416) (*.f64 (-.f64 z y) x) (if (<=.f64 x 1239040592025003/147573952589676412928) (+.f64 (*.f64 z x) y) (-.f64 (*.f64 z x) (*.f64 x y))))
(if (<=.f64 x -7360620629088969/17592186044416) (*.f64 (-.f64 z y) x) (if (<=.f64 x 1239040592025003/147573952589676412928) (+.f64 (*.f64 z x) y) (*.f64 (-.f64 z y) x)))
(if (<=.f64 z -570639027816531/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (+.f64 (*.f64 z x) y) (if (<=.f64 z 1253182989158021/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (-.f64 y (*.f64 y x)) (+.f64 (*.f64 z x) y)))
(if (<=.f64 y -1700000000000000015845360238194518612808006148074342903411023109051116562183665884643685564416) (+.f64 (*.f64 z x) y) (if (<=.f64 y -3999999999999999781289335472989780502838586280084991698663366459392) (*.f64 y (neg.f64 x)) (if (<=.f64 y 15641243320237793473755814485023233493581168640) (+.f64 (*.f64 z x) y) (if (<=.f64 y 919999999999999955595998240728796394639446399504901261186224301519691776628453266304270336) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 z x) y)))))
(if (<=.f64 x -3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992) (*.f64 y (neg.f64 x)) (if (<=.f64 x -8799999999999999457223507968) (*.f64 z x) (if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) y (if (<=.f64 x -3849400101909705/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 z x) (if (<=.f64 x 4076667540125077/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) y (if (<=.f64 x 5838572643861561/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (*.f64 z x) (if (<=.f64 x 1402353691870321/1427247692705959881058285969449495136382746624) y (*.f64 z x))))))))
(if (<=.f64 x -8799999999999999457223507968) (*.f64 z x) (if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) y (if (<=.f64 x -3849400101909705/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 z x) (if (<=.f64 x 4076667540125077/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) y (if (<=.f64 x 5838572643861561/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (*.f64 z x) (if (<=.f64 x 1402353691870321/1427247692705959881058285969449495136382746624) y (*.f64 z x)))))))
y
Outputs
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 y (*.f64 x (-.f64 z y)))
(if (<=.f64 x -7360620629088969/17592186044416) (*.f64 (-.f64 z y) x) (if (<=.f64 x 1239040592025003/147573952589676412928) (+.f64 (*.f64 z x) y) (-.f64 (*.f64 z x) (*.f64 x y))))
(if (<=.f64 x -7360620629088969/17592186044416) (*.f64 x (-.f64 z y)) (if (<=.f64 x 1239040592025003/147573952589676412928) (+.f64 y (*.f64 x z)) (-.f64 (*.f64 x z) (*.f64 x y))))
(if (<=.f64 x -7360620629088969/17592186044416) (*.f64 (-.f64 z y) x) (if (<=.f64 x 1239040592025003/147573952589676412928) (+.f64 (*.f64 z x) y) (*.f64 (-.f64 z y) x)))
(if (<=.f64 x -7360620629088969/17592186044416) (*.f64 x (-.f64 z y)) (if (<=.f64 x 1239040592025003/147573952589676412928) (+.f64 y (*.f64 x z)) (*.f64 x (-.f64 z y))))
(if (<=.f64 z -570639027816531/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (+.f64 (*.f64 z x) y) (if (<=.f64 z 1253182989158021/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (-.f64 y (*.f64 y x)) (+.f64 (*.f64 z x) y)))
(if (<=.f64 z -570639027816531/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (+.f64 y (*.f64 x z)) (if (<=.f64 z 1253182989158021/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (-.f64 y (*.f64 x y)) (+.f64 y (*.f64 x z))))
(if (<=.f64 y -1700000000000000015845360238194518612808006148074342903411023109051116562183665884643685564416) (+.f64 (*.f64 z x) y) (if (<=.f64 y -3999999999999999781289335472989780502838586280084991698663366459392) (*.f64 y (neg.f64 x)) (if (<=.f64 y 15641243320237793473755814485023233493581168640) (+.f64 (*.f64 z x) y) (if (<=.f64 y 919999999999999955595998240728796394639446399504901261186224301519691776628453266304270336) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 z x) y)))))
(if (<=.f64 y -1700000000000000015845360238194518612808006148074342903411023109051116562183665884643685564416) (+.f64 y (*.f64 x z)) (if (<=.f64 y -3999999999999999781289335472989780502838586280084991698663366459392) (*.f64 y (neg.f64 x)) (if (<=.f64 y 15641243320237793473755814485023233493581168640) (+.f64 y (*.f64 x z)) (if (<=.f64 y 919999999999999955595998240728796394639446399504901261186224301519691776628453266304270336) (*.f64 y (neg.f64 x)) (+.f64 y (*.f64 x z))))))
(if (<=.f64 x -3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992) (*.f64 y (neg.f64 x)) (if (<=.f64 x -8799999999999999457223507968) (*.f64 z x) (if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) y (if (<=.f64 x -3849400101909705/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 z x) (if (<=.f64 x 4076667540125077/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) y (if (<=.f64 x 5838572643861561/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (*.f64 z x) (if (<=.f64 x 1402353691870321/1427247692705959881058285969449495136382746624) y (*.f64 z x))))))))
(if (<=.f64 x -3000000000000000124216469591213846409050312014092089967683834602291815406983585544088716834198144287435868859239419406512331498560169695228350527700992) (*.f64 y (neg.f64 x)) (if (<=.f64 x -8799999999999999457223507968) (*.f64 x z) (if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) y (if (<=.f64 x -3849400101909705/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 x z) (if (<=.f64 x 4076667540125077/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) y (if (<=.f64 x 5838572643861561/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (*.f64 x z) (if (<=.f64 x 1402353691870321/1427247692705959881058285969449495136382746624) y (*.f64 x z))))))))
(if (<=.f64 x -8799999999999999457223507968) (*.f64 z x) (if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) y (if (<=.f64 x -3849400101909705/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 z x) (if (<=.f64 x 4076667540125077/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) y (if (<=.f64 x 5838572643861561/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (*.f64 z x) (if (<=.f64 x 1402353691870321/1427247692705959881058285969449495136382746624) y (*.f64 z x)))))))
(if (<=.f64 x -8799999999999999457223507968) (*.f64 x z) (if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) y (if (<=.f64 x -3849400101909705/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 x z) (if (<=.f64 x 4076667540125077/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) y (if (<=.f64 x 5838572643861561/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (*.f64 x z) (if (<=.f64 x 1402353691870321/1427247692705959881058285969449495136382746624) y (*.f64 x z)))))))
y
Compiler

Compiled 237 to 123 computations (48.1% saved)

soundness77.0ms (1.9%)

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)

end82.0ms (2%)

Compiler

Compiled 213 to 83 computations (61% saved)

Profiling

Loading profile data...