Details

Time bar (total: 3.7s)

analyze205.0ms (5.6%)

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 (29%)

Results
917.0ms8256×body256valid
137.0ms1250×body256infinite
Bogosity

preprocess100.0ms (2.7%)

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)

simplify34.0ms (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))
▶0b
(fma.f64 x (-.f64 z y) y)
Compiler

Compiled 21 to 13 computations (38.1% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 27 to 14 computations (48.1% saved)

series8.0ms (0.2%)

Counts
2 → 60
Calls

15 calls:

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

rewrite79.0ms (2.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119218
2262218
Stop Event
1×node limit
Counts
2 → 122
Calls
Call 1
Inputs
(*.f64 (-.f64 1 x) y)
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (fma.f64 x (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) y)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 x) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) y)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 y) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))) (/.f64 (pow.f64 (*.f64 x z) 2) (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x z (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 2) (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) (sqrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)) (pow.f64 (*.f64 (-.f64 1 x) y) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) (pow.f64 (*.f64 x z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) (-.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (pow.f64 (*.f64 x z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (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))))))

simplify51.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
325×fma-def_binary64
259×fma-neg_binary64
72×cancel-sign-sub-inv_binary64
53×distribute-rgt-in_binary64
47×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022530
151424
2105424
3219424
4511424
5856424
61145424
71321424
81337424
Stop Event
1×saturated
Counts
182 → 137
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
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 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
y
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(*.f64 x (+.f64 z (neg.f64 y)))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))
(*.f64 x (+.f64 z (neg.f64 y)))
(*.f64 x (-.f64 z y))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 x (-.f64 z y) y)

localize6.0ms (0.2%)

Compiler

Compiled 15 to 5 computations (66.7% saved)

eval38.0ms (1%)

Compiler

Compiled 1978 to 1079 computations (45.4% saved)

prune22.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1334137
Fresh000
Picked011
Done011
Total1336139
Error
0b
Counts
139 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0b
(fma.f64 x (-.f64 z y) y)
▶12.0b
(+.f64 y (*.f64 x z))
✓0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
▶0.0b
(+.f64 (-.f64 y (*.f64 y x)) (*.f64 x z))
▶41.9b
(*.f64 z x)
▶30.0b
(*.f64 x (-.f64 z y))
Compiler

Compiled 55 to 34 computations (38.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

series6.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

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

rewrite53.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
725×pow1_binary64
672×add-log-exp_binary64
672×log1p-expm1-u_binary64
672×expm1-log1p-u_binary64
657×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11297
217847
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 x (-.f64 z y))
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 x (-.f64 z y))) 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 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 (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 cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 z y) 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 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))))))))

simplify34.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
011240
122240
243240
362240
492240
5158240
6287240
7418240
8599240
9737240
10749240
Stop Event
1×saturated
Counts
55 → 24
Calls
Call 1
Inputs
(*.f64 (-.f64 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 (-.f64 z y) x)
(*.f64 (-.f64 z y) x)
(*.f64 (-.f64 z y) x)
(*.f64 (-.f64 z 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 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 (-.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 (-.f64 z y) x)
(*.f64 (-.f64 z y) x)
(*.f64 (-.f64 z y) x)
(*.f64 (-.f64 z y) x)
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 z y) x)

localize5.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite122.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
713×pow1_binary64
661×add-log-exp_binary64
661×log1p-expm1-u_binary64
661×expm1-log1p-u_binary64
646×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11285
217795
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 y (*.f64 x z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 x z))) (/.f64 (pow.f64 (*.f64 x z) 2) (-.f64 y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x z y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x z y)) (pow.f64 (cbrt.f64 (fma.f64 x z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x z y)) 2) (cbrt.f64 (fma.f64 x z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x z y)) (sqrt.f64 (fma.f64 x z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 x z) 2)) (/.f64 1 (-.f64 y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) y))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (*.f64 x z)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x z) 3)) (fma.f64 y y (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x z) 3)) (+.f64 (pow.f64 (*.f64 x z) 2) (-.f64 (*.f64 y y) (*.f64 y (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 x z) 2)) (-.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x z) 3))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 x z) 2))) (neg.f64 (-.f64 y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x z) 2) (*.f64 y y)) (-.f64 (*.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x z y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x z y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x z y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x z y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x z y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x z y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x z y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (cbrt.f64 (*.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x z))))))

simplify12.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06159
19159
210159
Stop Event
1×saturated
Counts
71 → 38
Calls
Call 1
Inputs
(*.f64 z x)
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
y
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
y
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
y
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
(*.f64 z x)
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
(*.f64 z x)
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
y
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
(*.f64 z x)
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
(*.f64 z x)
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) y)
Outputs
(*.f64 z x)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
y
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
y
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
y
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(*.f64 z x)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(*.f64 z x)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
y
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(*.f64 z x)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(*.f64 z x)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)
(+.f64 (*.f64 z x) y)
(fma.f64 z x y)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 7 computations (73.1% saved)

series6.0ms (0.2%)

Counts
2 → 60
Calls

15 calls:

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

rewrite84.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
632×fma-def_binary64
506×log-prod_binary64
363×pow-prod-down_binary64
282×fma-neg_binary64
260×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
118417
2285817
Stop Event
1×node limit
Counts
2 → 184
Calls
Call 1
Inputs
(+.f64 (-.f64 y (*.f64 y x)) (*.f64 x z))
(-.f64 y (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 y (*.f64 x (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 y (*.f64 x (-.f64 y z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 y (*.f64 y x)) 2) (-.f64 y (fma.f64 y x (*.f64 x z)))) (/.f64 (pow.f64 (*.f64 x z) 2) (-.f64 y (fma.f64 y x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x z y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y (*.f64 x (-.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 y (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) 2) (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y (*.f64 x (-.f64 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(*.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 exp.f64 (*.f64 (log.f64 (-.f64 y (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y (*.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y (*.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y (*.f64 y x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y (*.f64 y x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y (*.f64 y x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (neg.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (-.f64 1 x) (fma.f64 (neg.f64 y) x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (-.f64 1 x) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (-.f64 1 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 fma.f64 x (neg.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y (*.f64 y x)) 1 (fma.f64 (neg.f64 y) x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y (*.f64 y x)) 1 (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y (*.f64 y x)) 1 (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 fma.f64 1 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 y) x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 y (*.f64 y x)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.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 fma.f64 1 (*.f64 y (neg.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2) (fma.f64 (neg.f64 y) x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2) (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 fma.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2) (cbrt.f64 (-.f64 y (*.f64 y x))) (fma.f64 (neg.f64 y) x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2) (cbrt.f64 (-.f64 y (*.f64 y x))) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2) (cbrt.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 fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(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 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (neg.f64 (cbrt.f64 (*.f64 y x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) (sqrt.f64 (-.f64 y (*.f64 y x))) (fma.f64 (neg.f64 y) x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) (sqrt.f64 (-.f64 y (*.f64 y x))) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) (sqrt.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 fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (neg.f64 (sqrt.f64 (*.f64 y x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y)))) (fma.f64 (neg.f64 y) x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y)))) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y)))) (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 fma.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (fma.f64 y x y)) (fma.f64 (neg.f64 y) x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (fma.f64 y x y)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change 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(sqrt.f64 y) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.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 fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (*.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) 1) x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) y)))))

simplify50.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
253×fma-def_binary64
250×fma-neg_binary64
59×unsub-neg_binary64
48×distribute-rgt-in_binary64
48×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029505
181424
2147424
3388424
4850424
51146424
61255424
71258424
Stop Event
1×saturated
Counts
244 → 201
Calls
Call 1
Inputs
(*.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 (*.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))))
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 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x)))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x)))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x)))
(-.f64 y (*.f64 y x))
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(*.f64 z x)
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(*.f64 z x)
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (+.f64 1 (*.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 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
y
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x))
(*.f64 x (-.f64 z y))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x)))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x)))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) (*.f64 -1 y)) x)))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(-.f64 (+.f64 (*.f64 z x) y) (*.f64 y x))
(fma.f64 z x (*.f64 y (-.f64 1 x)))
(fma.f64 x (-.f64 z y) y)
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(fma.f64 (neg.f64 y) x y)
(-.f64 y (*.f64 x y))

eval57.0ms (1.6%)

Compiler

Compiled 3911 to 1147 computations (70.7% saved)

prune46.0ms (1.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2585263
Fresh000
Picked101
Done235
Total2618269
Error
0b
Counts
269 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶21.7b
(*.f64 y (-.f64 1 x))
▶51.1b
(*.f64 y (neg.f64 x))
✓30.0b
(*.f64 x (-.f64 z y))
▶21.7b
(-.f64 y (*.f64 y x))
32.8b
y
▶12.0b
(fma.f64 z x y)
✓12.0b
(+.f64 y (*.f64 x z))
✓41.9b
(*.f64 z x)
Compiler

Compiled 56 to 37 computations (33.9% saved)

localize6.0ms (0.2%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite54.0ms (1.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify21.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

localize6.0ms (0.2%)

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)

localize4.0ms (0.1%)

Compiler

Compiled 10 to 4 computations (60% saved)

eval28.0ms (0.8%)

Compiler

Compiled 1678 to 549 computations (67.3% saved)

prune21.0ms (0.6%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1261127
Fresh101
Picked011
Done066
Total1278135
Error
0b
Counts
135 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓41.9b
(*.f64 z x)
32.8b
y
✓21.7b
(*.f64 y (-.f64 1 x))
✓51.1b
(*.f64 y (neg.f64 x))
✓30.0b
(*.f64 x (-.f64 z y))
✓21.7b
(-.f64 y (*.f64 y x))
✓12.0b
(fma.f64 z x y)
✓12.0b
(+.f64 y (*.f64 x z))
Compiler

Compiled 56 to 37 computations (33.9% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done077
Total088
Error
0b
Counts
8 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓41.9b
(*.f64 z x)
32.8b
y
✓21.7b
(*.f64 y (-.f64 1 x))
✓51.1b
(*.f64 y (neg.f64 x))
✓30.0b
(*.f64 x (-.f64 z y))
✓21.7b
(-.f64 y (*.f64 y x))
✓12.0b
(fma.f64 z x y)
✓12.0b
(+.f64 y (*.f64 x z))
Compiler

Compiled 56 to 37 computations (33.9% saved)

regimes34.0ms (0.9%)

Counts
12 → 1
Calls
Call 1
Inputs
y
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 x z))
(*.f64 x (-.f64 z y))
(+.f64 (-.f64 y (*.f64 y x)) (*.f64 x z))
(+.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:

9.0ms
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
7.0ms
x
7.0ms
y
7.0ms
z
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1z
0b1(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Compiler

Compiled 84 to 39 computations (53.6% saved)

regimes32.0ms (0.9%)

Counts
11 → 1
Calls
Call 1
Inputs
y
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 x z))
(*.f64 x (-.f64 z y))
(+.f64 (-.f64 y (*.f64 y x)) (*.f64 x z))
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(fma.f64 z x y)
Outputs
(+.f64 (-.f64 y (*.f64 y x)) (*.f64 x z))
Calls

4 calls:

8.0ms
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
7.0ms
x
7.0ms
z
7.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Compiler

Compiled 78 to 38 computations (51.3% saved)

regimes53.0ms (1.4%)

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

3 calls:

20.0ms
z
16.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
6.4b3y
7.2b3z
Compiler

Compiled 44 to 24 computations (45.5% saved)

bsearch37.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
5.962689640315851e-7
1.5634523489170736e-6
19.0ms
-197977592845801.7
-43068788.365390815
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes66.0ms (1.8%)

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

3 calls:

30.0ms
x
20.0ms
z
15.0ms
y
Results
ErrorSegmentsBranch
8.2b6x
6.4b3y
7.2b3z
Compiler

Compiled 39 to 22 computations (43.6% saved)

bsearch38.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
2.0495474832072557e-25
14397582059211.715
19.0ms
-8.454454692420731e-30
-1.8693749326202798e-30
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes69.0ms (1.9%)

Counts
6 → 7
Calls
Call 1
Inputs
y
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
Outputs
(*.f64 y (-.f64 1 x))
(*.f64 z x)
(*.f64 y (-.f64 1 x))
(*.f64 z x)
(*.f64 y (-.f64 1 x))
(*.f64 z x)
(-.f64 y (*.f64 y x))
Calls

3 calls:

31.0ms
y
19.0ms
z
18.0ms
x
Results
ErrorSegmentsBranch
18.1b4x
9.7b7y
16.1b4z
Compiler

Compiled 34 to 20 computations (41.2% saved)

bsearch136.0ms (3.7%)

Algorithm
6×binary-search
Steps
TimeLeftRight
30.0ms
3.4666447222400816e-56
5.241650634483842e-54
28.0ms
2.225984573575691e-87
6.517930889534367e-81
20.0ms
2.754382516288521e-189
2.8375115389266266e-180
19.0ms
-1.682991552107247e-173
-3.263916484649099e-175
20.0ms
-2.981710148631162e-145
-5.734490439010257e-147
19.0ms
-6.319927380519562e-97
-2.4344584719536557e-110
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes65.0ms (1.8%)

Counts
5 → 7
Calls
Call 1
Inputs
y
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 1 x))
Outputs
(*.f64 y (-.f64 1 x))
(*.f64 z x)
(*.f64 y (-.f64 1 x))
(*.f64 z x)
(*.f64 y (-.f64 1 x))
(*.f64 z x)
(*.f64 y (-.f64 1 x))
Calls

3 calls:

29.0ms
y
17.0ms
x
16.0ms
z
Results
ErrorSegmentsBranch
18.1b4x
9.7b7y
16.1b4z
Compiler

Compiled 29 to 18 computations (37.9% saved)

bsearch121.0ms (3.3%)

Algorithm
6×binary-search
Steps
TimeLeftRight
20.0ms
3.4666447222400816e-56
5.241650634483842e-54
25.0ms
2.225984573575691e-87
6.517930889534367e-81
19.0ms
2.754382516288521e-189
2.8375115389266266e-180
19.0ms
-1.682991552107247e-173
-3.263916484649099e-175
20.0ms
-2.981710148631162e-145
-5.734490439010257e-147
18.0ms
-6.319927380519562e-97
-2.4344584719536557e-110
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes78.0ms (2.1%)

Counts
4 → 9
Calls
Call 1
Inputs
y
y
(*.f64 z x)
(*.f64 y (neg.f64 x))
Outputs
y
(*.f64 z x)
y
(*.f64 z x)
y
(*.f64 z x)
y
(*.f64 y (neg.f64 x))
y
Calls

3 calls:

32.0ms
y
25.0ms
z
19.0ms
x
Results
ErrorSegmentsBranch
18.8b5x
17.9b9y
25.2b6z
Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch240.0ms (6.5%)

Algorithm
8×binary-search
Steps
TimeLeftRight
50.0ms
2.1421751233709524e+170
6.10657468297372e+171
72.0ms
1.5568003789432284e+131
3.2911612389327215e+135
19.0ms
4.542724604691555e+42
1.8888656528237702e+46
21.0ms
2.225984573575691e-87
6.517930889534367e-81
19.0ms
2.754382516288521e-189
2.8375115389266266e-180
19.0ms
-1.682991552107247e-173
-3.263916484649099e-175
19.0ms
-2.981710148631162e-145
-5.734490439010257e-147
19.0ms
-5.773447051700112e-66
-7.53651200505043e-72
Compiler

Compiled 213 to 163 computations (23.5% saved)

regimes62.0ms (1.7%)

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

3 calls:

26.0ms
y
23.0ms
z
12.0ms
x
Results
ErrorSegmentsBranch
20.6b3x
19.1b7y
25.2b6z
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch140.0ms (3.8%)

Algorithm
6×binary-search
Steps
TimeLeftRight
23.0ms
4.542724604691555e+42
1.8888656528237702e+46
32.0ms
2.225984573575691e-87
6.517930889534367e-81
20.0ms
2.754382516288521e-189
2.8375115389266266e-180
23.0ms
-1.682991552107247e-173
-3.263916484649099e-175
20.0ms
-2.981710148631162e-145
-5.734490439010257e-147
22.0ms
-5.773447051700112e-66
-7.53651200505043e-72
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes13.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

3 calls:

5.0ms
x
3.0ms
y
3.0ms
z
Results
ErrorSegmentsBranch
32.8b1x
32.8b1y
32.8b1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify21.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
077363
198363
2108363
3113363
4115363
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 z y) y)
(+.f64 (-.f64 y (*.f64 y x)) (*.f64 x z))
(if (<=.f64 x -3167641485532827/16) (*.f64 x (-.f64 z y)) (if (<=.f64 x 5631601141036327/9444732965739290427392) (+.f64 y (*.f64 x z)) (*.f64 x (-.f64 z y))))
(if (<=.f64 y -3016650238211141/356811923176489970264571492362373784095686656) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 4463519159696751/21778071482940061661655974875633165533184) (+.f64 y (*.f64 x z)) (-.f64 y (*.f64 y x))))
(if (<=.f64 y -6079536567578001/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (*.f64 y (-.f64 1 x)) (if (<=.f64 y -4192017787189431/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (*.f64 z x) (if (<=.f64 y -2343307194961281/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 1727155013147163/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (*.f64 z x) (if (<=.f64 y 4985637244835055/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 7656288815149207/220855883097298041197912187592864814478435487109452369765200775161577472) (*.f64 z x) (-.f64 y (*.f64 y x))))))))
(if (<=.f64 y -6079536567578001/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (*.f64 y (-.f64 1 x)) (if (<=.f64 y -4192017787189431/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (*.f64 z x) (if (<=.f64 y -2343307194961281/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 1727155013147163/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (*.f64 z x) (if (<=.f64 y 4985637244835055/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 7656288815149207/220855883097298041197912187592864814478435487109452369765200775161577472) (*.f64 z x) (*.f64 y (-.f64 1 x))))))))
(if (<=.f64 y -5476511713012773/948568795032094272909893509191171341133987714380927500611236528192824358010355712) y (if (<=.f64 y -4192017787189431/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (*.f64 z x) (if (<=.f64 y -2343307194961281/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) y (if (<=.f64 y 1727155013147163/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (*.f64 z x) (if (<=.f64 y 4985637244835055/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) y (if (<=.f64 y 4542724604691555094483150304357987165143040) (*.f64 z x) (if (<=.f64 y 3199999999999999748742516789462378080241594475935118768140003553595145651445130383131432371684642861697579662650811055697037437790322688) y (if (<=.f64 y 214999999999999993321898350062450399420358358023309723208657230879376914009918096333016139924477053092800921957818360192883887104789038355791642660381747247630220341018624) (*.f64 y (neg.f64 x)) y))))))))
(if (<=.f64 y -5476511713012773/948568795032094272909893509191171341133987714380927500611236528192824358010355712) y (if (<=.f64 y -4192017787189431/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (*.f64 z x) (if (<=.f64 y -2343307194961281/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) y (if (<=.f64 y 1727155013147163/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (*.f64 z x) (if (<=.f64 y 4985637244835055/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) y (if (<=.f64 y 4542724604691555094483150304357987165143040) (*.f64 z x) y))))))
y
Outputs
(fma.f64 x (-.f64 z y) y)
(+.f64 (-.f64 y (*.f64 y x)) (*.f64 x z))
(+.f64 (-.f64 y (*.f64 x y)) (*.f64 x z))
(if (<=.f64 x -3167641485532827/16) (*.f64 x (-.f64 z y)) (if (<=.f64 x 5631601141036327/9444732965739290427392) (+.f64 y (*.f64 x z)) (*.f64 x (-.f64 z y))))
(if (<=.f64 y -3016650238211141/356811923176489970264571492362373784095686656) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 4463519159696751/21778071482940061661655974875633165533184) (+.f64 y (*.f64 x z)) (-.f64 y (*.f64 y x))))
(if (<=.f64 y -3016650238211141/356811923176489970264571492362373784095686656) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 4463519159696751/21778071482940061661655974875633165533184) (+.f64 y (*.f64 x z)) (-.f64 y (*.f64 x y))))
(if (<=.f64 y -6079536567578001/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (*.f64 y (-.f64 1 x)) (if (<=.f64 y -4192017787189431/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (*.f64 z x) (if (<=.f64 y -2343307194961281/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 1727155013147163/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (*.f64 z x) (if (<=.f64 y 4985637244835055/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 7656288815149207/220855883097298041197912187592864814478435487109452369765200775161577472) (*.f64 z x) (-.f64 y (*.f64 y x))))))))
(if (<=.f64 y -6079536567578001/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (*.f64 y (-.f64 1 x)) (if (<=.f64 y -4192017787189431/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (*.f64 x z) (if (<=.f64 y -2343307194961281/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 1727155013147163/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (*.f64 x z) (if (<=.f64 y 4985637244835055/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 7656288815149207/220855883097298041197912187592864814478435487109452369765200775161577472) (*.f64 x z) (-.f64 y (*.f64 x y))))))))
(if (<=.f64 y -6079536567578001/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (*.f64 y (-.f64 1 x)) (if (<=.f64 y -4192017787189431/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (*.f64 z x) (if (<=.f64 y -2343307194961281/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 1727155013147163/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (*.f64 z x) (if (<=.f64 y 4985637244835055/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 7656288815149207/220855883097298041197912187592864814478435487109452369765200775161577472) (*.f64 z x) (*.f64 y (-.f64 1 x))))))))
(if (<=.f64 y -6079536567578001/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (*.f64 y (-.f64 1 x)) (if (<=.f64 y -4192017787189431/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (*.f64 x z) (if (<=.f64 y -2343307194961281/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 1727155013147163/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (*.f64 x z) (if (<=.f64 y 4985637244835055/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 7656288815149207/220855883097298041197912187592864814478435487109452369765200775161577472) (*.f64 x z) (*.f64 y (-.f64 1 x))))))))
(if (<=.f64 y -5476511713012773/948568795032094272909893509191171341133987714380927500611236528192824358010355712) y (if (<=.f64 y -4192017787189431/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (*.f64 z x) (if (<=.f64 y -2343307194961281/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) y (if (<=.f64 y 1727155013147163/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (*.f64 z x) (if (<=.f64 y 4985637244835055/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) y (if (<=.f64 y 4542724604691555094483150304357987165143040) (*.f64 z x) (if (<=.f64 y 3199999999999999748742516789462378080241594475935118768140003553595145651445130383131432371684642861697579662650811055697037437790322688) y (if (<=.f64 y 214999999999999993321898350062450399420358358023309723208657230879376914009918096333016139924477053092800921957818360192883887104789038355791642660381747247630220341018624) (*.f64 y (neg.f64 x)) y))))))))
(if (<=.f64 y -5476511713012773/948568795032094272909893509191171341133987714380927500611236528192824358010355712) y (if (<=.f64 y -4192017787189431/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (*.f64 x z) (if (<=.f64 y -2343307194961281/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) y (if (<=.f64 y 1727155013147163/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (*.f64 x z) (if (<=.f64 y 4985637244835055/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) y (if (<=.f64 y 4542724604691555094483150304357987165143040) (*.f64 x z) (if (<=.f64 y 3199999999999999748742516789462378080241594475935118768140003553595145651445130383131432371684642861697579662650811055697037437790322688) y (if (<=.f64 y 214999999999999993321898350062450399420358358023309723208657230879376914009918096333016139924477053092800921957818360192883887104789038355791642660381747247630220341018624) (*.f64 y (neg.f64 x)) y))))))))
(if (<=.f64 y -5476511713012773/948568795032094272909893509191171341133987714380927500611236528192824358010355712) y (if (<=.f64 y -4192017787189431/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (*.f64 z x) (if (<=.f64 y -2343307194961281/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) y (if (<=.f64 y 1727155013147163/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (*.f64 z x) (if (<=.f64 y 4985637244835055/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) y (if (<=.f64 y 4542724604691555094483150304357987165143040) (*.f64 z x) y))))))
(if (<=.f64 y -5476511713012773/948568795032094272909893509191171341133987714380927500611236528192824358010355712) y (if (<=.f64 y -4192017787189431/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (*.f64 x z) (if (<=.f64 y -2343307194961281/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) y (if (<=.f64 y 1727155013147163/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (*.f64 x z) (if (<=.f64 y 4985637244835055/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) y (if (<=.f64 y 4542724604691555094483150304357987165143040) (*.f64 x z) y))))))
y
Compiler

Compiled 282 to 163 computations (42.2% saved)

soundness79.0ms (2.1%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
0911
11711
23011
35711
41269
52188
63468
75578
89618
911418
1012018
1112118
Stop Event
1×saturated
Compiler

Compiled 197 to 126 computations (36% saved)

end115.0ms (3.1%)

Compiler

Compiled 258 to 127 computations (50.8% saved)

Profiling

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