Details

Time bar (total: 5.8s)

analyze240.0ms (4.2%)

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
28.1%28.1%71.8%0.1%0%0%0%9
36.7%34.3%59.3%0.1%6.2%0%0%10
44.2%40.6%51.3%0.1%8%0%0%11
52.6%48%43.2%0.1%8.7%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (18.9%)

Results
892.0ms8256×body256valid
189.0ms1259×body256infinite
Bogosity

preprocess149.0ms (2.6%)

Algorithm
2×egg-herbie
Rules
865×fma-neg_binary64
384×fma-def_binary64
156×unsub-neg_binary64
141×distribute-rgt-in_binary64
108×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13132
27332
317632
431732
565232
6127032
7202332
8275232
9291532
10294332
11294332
033
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
(+.f64 y (*.f64 (-.f64 x y) z))
(+.f64 z (*.f64 (-.f64 y z) x))
(+.f64 x (*.f64 (-.f64 z x) y))
Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z x)
(+.f64 y (*.f64 (-.f64 x y) z))
(+.f64 y (*.f64 z (-.f64 x y)))
(fma.f64 z (-.f64 x y) y)
(+.f64 z (*.f64 (-.f64 y z) x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 x (*.f64 (-.f64 z x) y))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify160.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
272×fma-def_binary64
251×fma-neg_binary64
71×cancel-sign-sub-inv_binary64
54×distribute-rgt-in_binary64
41×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
1118
2248
3528
41008
51718
62838
74828
88738
911148
1012148
1112218
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z x)

eval1.0ms (0%)

Compiler

Compiled 16 to 7 computations (56.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 19 to 11 computations (42.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 6 computations (71.4% saved)

series8.0ms (0.1%)

Counts
2 → 60
Calls

18 calls:

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

rewrite95.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
969×pow1_binary64
901×add-log-exp_binary64
901×log1p-expm1-u_binary64
901×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
115815
2237015
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(*.f64 (-.f64 y x) z)
(+.f64 x (*.f64 (-.f64 y x) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) z) (fma.f64 y y (*.f64 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) z) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (*.f64 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 y x) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 y x) z) 2) (-.f64 x (*.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) (sqrt.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) z) (-.f64 (*.f64 (-.f64 y x) z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y x) z) 2)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) z) (-.f64 (*.f64 (-.f64 y x) z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y x) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) z) 3)) (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) z) (-.f64 (*.f64 (-.f64 y x) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) z) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y x) z) 2)) (-.f64 x (*.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) z) (-.f64 (*.f64 (-.f64 y x) z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y x) z) 2))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) z) 2) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) z x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y x) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (-.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) 2) (cbrt.f64 (*.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) (sqrt.f64 (*.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) z))))))

simplify53.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
407×fma-def_binary64
296×fma-neg_binary64
64×cancel-sign-sub-inv_binary64
60×distribute-rgt-in_binary64
42×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023591
158420
2111420
3220420
4381420
5689420
61064420
71303420
81422420
91424420
Stop Event
1×saturated
Counts
114 → 70
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
x
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
Outputs
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
x
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(*.f64 (-.f64 y x) z)
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(*.f64 (-.f64 y x) z)
(fma.f64 y z (*.f64 (neg.f64 z) x))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 15 to 5 computations (66.7% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite52.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
736×pow1_binary64
682×add-log-exp_binary64
682×log1p-expm1-u_binary64
682×expm1-log1p-u_binary64
666×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11308
217918
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (-.f64 y x) z x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 y x) z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 y x) z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) (sqrt.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) z) (*.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) z) (*.f64 (-.f64 y x) z)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) z x)))))))

simplify43.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
400×fma-def_binary64
300×fma-neg_binary64
64×cancel-sign-sub-inv_binary64
60×distribute-rgt-in_binary64
42×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022375
156264
2108264
3213264
4374264
5679264
61053264
71292264
81411264
91413264
Stop Event
1×saturated
Counts
57 → 34
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
x
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
Outputs
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
x
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)

eval43.0ms (0.7%)

Compiler

Compiled 1176 to 343 computations (70.8% saved)

prune20.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New986104
Fresh000
Picked011
Done101
Total997106
Error
0b
Counts
106 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.1b
(*.f64 (-.f64 y x) z)
▶0.0b
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
35.5b
x
▶38.4b
(*.f64 z y)
▶24.6b
(-.f64 x (*.f64 z x))
✓0.0b
(fma.f64 (-.f64 y x) z x)
▶11.4b
(+.f64 x (*.f64 z y))
Compiler

Compiled 99 to 62 computations (37.4% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 33 to 8 computations (75.8% saved)

series13.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite202.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
566×fma-def_binary64
504×log-prod_binary64
402×pow-prod-down_binary64
334×fma-neg_binary64
254×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
120815
2327315
Stop Event
1×node limit
Counts
2 → 263
Calls
Call 1
Inputs
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
Outputs
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fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) x) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 (pow.f64 (*.f64 z x) 2)) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2)) (cbrt.f64 (*.f64 z x)) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z y)) (cbrt.f64 (pow.f64 (*.f64 z y) 2)) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 z y) 2)) (cbrt.f64 (*.f64 z y)) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 z (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) 2) (*.f64 z (*.f64 y (*.f64 z x))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 z (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z x) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y x) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z y x) 1 (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z y x)) 2) (cbrt.f64 (fma.f64 z y x)) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z y x)) (sqrt.f64 (fma.f64 z y x)) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) x (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z -1) x (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 z y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z y x))))))

simplify87.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
311×fma-neg_binary64
279×fma-def_binary64
50×cancel-sign-sub-inv_binary64
44×unsub-neg_binary64
42×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029679
185504
2176504
3331504
4658504
51070504
61230504
71244504
Stop Event
1×saturated
Counts
335 → 282
Calls
Call 1
Inputs
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
x
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(*.f64 z (+.f64 y (*.f64 -1 x)))
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
Outputs
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 z x))
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 z x))
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
x
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x)
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 z x))
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1 z 1)))
(fma.f64 z (-.f64 y x) x)

localize6.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

localize9.0ms (0.2%)

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)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite82.0ms (1.4%)

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

simplify15.0ms (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 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
Outputs
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite78.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
651×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
593×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11137
216547
Stop Event
1×node limit
Counts
1 → 40
Calls
Call 1
Inputs
(-.f64 x (*.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 z) x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 x) z (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (*.f64 x (neg.f64 z)) 1 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 2) (cbrt.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 x z))) (sqrt.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2)) (/.f64 1 (+.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 x z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3)) (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2)) (+.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2))) (neg.f64 (+.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (neg.f64 z)) (*.f64 x (neg.f64 z))) (*.f64 x (*.f64 x (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 z)) (*.f64 x (neg.f64 z)))) (-.f64 x (*.f64 x (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 z)))))))

simplify77.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
145×fma-def_binary64
71×fma-neg_binary64
21×cancel-sign-sub-inv_binary64
19×associate-*r*_binary64
18×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013160
128160
249160
388160
4136160
5223160
6371160
7450160
8518160
9524160
Stop Event
1×saturated
Counts
64 → 47
Calls
Call 1
Inputs
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
x
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
Outputs
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
x
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (-.f64 1 z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)

eval116.0ms (2%)

Compiler

Compiled 5493 to 1576 computations (71.3% saved)

prune128.0ms (2.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New3883391
Fresh011
Picked011
Done235
Total3908398
Error
0b
Counts
398 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
35.5b
x
▶27.1b
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
▶51.1b
(*.f64 z (neg.f64 x))
✓27.1b
(*.f64 (-.f64 y x) z)
✓38.4b
(*.f64 z y)
✓24.6b
(-.f64 x (*.f64 z x))
▶11.4b
(fma.f64 z y x)
✓11.4b
(+.f64 x (*.f64 z y))
Compiler

Compiled 59 to 38 computations (35.6% saved)

localize8.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize15.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 23 to 7 computations (69.6% saved)

localize7.0ms (0.1%)

Compiler

Compiled 10 to 4 computations (60% saved)

eval50.0ms (0.9%)

Compiler

Compiled 2416 to 630 computations (73.9% saved)

prune75.0ms (1.3%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1541155
Fresh011
Picked011
Done156
Total1558163
Error
0b
Counts
163 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.1b
(-.f64 (*.f64 z y) (*.f64 z x))
✓11.4b
(+.f64 x (*.f64 z y))
✓51.1b
(*.f64 z (neg.f64 x))
✓27.1b
(*.f64 (-.f64 y x) z)
35.5b
x
✓38.4b
(*.f64 z y)
✓24.6b
(-.f64 x (*.f64 z x))
✓11.4b
(fma.f64 z y x)
Compiler

Compiled 58 to 37 computations (36.2% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite90.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
902×pow1_binary64
836×add-log-exp_binary64
836×log1p-expm1-u_binary64
836×expm1-log1p-u_binary64
819×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11627
223007
Stop Event
1×node limit
Counts
1 → 53
Calls
Call 1
Inputs
(-.f64 (*.f64 z y) (*.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 (*.f64 x (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (+.f64 (*.f64 x (neg.f64 z)) (fma.f64 (neg.f64 x) z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (-.f64 y x)) (fma.f64 (neg.f64 x) z (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (-.f64 y x)) (fma.f64 (neg.f64 z) x (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (-.f64 y x)) (fma.f64 (*.f64 x (neg.f64 z)) 1 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (-.f64 y x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (-.f64 y x)) (*.f64 (fma.f64 (neg.f64 x) z (*.f64 z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (-.f64 y x)) (+.f64 (fma.f64 (neg.f64 x) z (*.f64 z x)) (fma.f64 (neg.f64 x) z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 x) z (*.f64 z x)) (*.f64 z (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 z)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (-.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) 2) (cbrt.f64 (*.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (-.f64 y x))) (sqrt.f64 (*.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z x) (*.f64 z (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (*.f64 z x) 2)) (/.f64 1 (*.f64 z (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z x) (*.f64 z (+.f64 y x)))) (-.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z (+.f64 y x)) (-.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (*.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z x) (*.f64 z (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (*.f64 z x) 2)) (*.f64 z (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z x) (*.f64 z (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (*.f64 z x) 2))) (neg.f64 (*.f64 z (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 x (neg.f64 z)) 3)) (+.f64 (pow.f64 (*.f64 z y) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 z)) (*.f64 x (neg.f64 z))) (*.f64 (*.f64 z y) (*.f64 x (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) 3) (pow.f64 (fma.f64 (neg.f64 x) z (*.f64 z x)) 3)) (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 x) z (*.f64 z x)) (fma.f64 (neg.f64 x) z (*.f64 z x))) (*.f64 (*.f64 z (-.f64 y x)) (fma.f64 (neg.f64 x) z (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 x (neg.f64 z)) (*.f64 x (neg.f64 z)))) (-.f64 (*.f64 z y) (*.f64 x (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 y x)) 2) (*.f64 (fma.f64 (neg.f64 x) z (*.f64 z x)) (fma.f64 (neg.f64 x) z (*.f64 z x)))) (-.f64 (*.f64 z (-.f64 y x)) (fma.f64 (neg.f64 x) z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (-.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (-.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (-.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (-.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (-.f64 y x) (fma.f64 (neg.f64 x) z (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z y) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (-.f64 y x)) (fma.f64 (neg.f64 x) z (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) 2) (cbrt.f64 (*.f64 z (-.f64 y x))) (fma.f64 (neg.f64 x) z (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (cbrt.f64 (*.f64 z y)) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (-.f64 y x))) (sqrt.f64 (*.f64 z (-.f64 y x))) (fma.f64 (neg.f64 x) z (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 x (neg.f64 z)))))))

simplify62.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
118×fma-def_binary64
80×fma-neg_binary64
34×unsub-neg_binary64
28×associate-*l*_binary64
28×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016240
143240
297240
3246240
4414240
5533240
6602240
7607240
Stop Event
1×saturated
Counts
89 → 58
Calls
Call 1
Inputs
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x))))
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x))))
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x))))
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x))))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
Outputs
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x))))
(*.f64 (-.f64 y x) z)
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x))))
(*.f64 (-.f64 y x) z)
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x))))
(*.f64 (-.f64 y x) z)
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x))))
(*.f64 (-.f64 y x) z)
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y x) z)

eval20.0ms (0.3%)

Compiler

Compiled 849 to 230 computations (72.9% saved)

prune98.0ms (1.7%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New58058
Fresh011
Picked011
Done066
Total58866
Error
0b
Counts
66 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓27.1b
(-.f64 (*.f64 z y) (*.f64 z x))
✓11.4b
(+.f64 x (*.f64 z y))
✓51.1b
(*.f64 z (neg.f64 x))
✓27.1b
(*.f64 (-.f64 y x) z)
35.5b
x
✓38.4b
(*.f64 z y)
✓24.6b
(-.f64 x (*.f64 z x))
✓11.4b
(fma.f64 z y x)
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes43.0ms (0.8%)

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

4 calls:

13.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
10.0ms
z
9.0ms
y
7.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 90 to 32 computations (64.4% saved)

regimes37.0ms (0.6%)

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

4 calls:

13.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
8.0ms
x
7.0ms
y
7.0ms
z
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 84 to 31 computations (63.1% saved)

regimes65.0ms (1.1%)

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

3 calls:

31.0ms
x
16.0ms
y
15.0ms
z
Results
ErrorSegmentsBranch
5.6b6x
5.5b3y
0.3b3z
Compiler

Compiled 45 to 21 computations (53.3% saved)

bsearch53.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
1.8896137520537308e-21
2.346714996313619e-6
27.0ms
-4.6181362329332
-4.941137657521701e-17
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes106.0ms (1.8%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 z (neg.f64 x))
(*.f64 (-.f64 y x) z)
(-.f64 x (*.f64 z x))
Outputs
(*.f64 (-.f64 y x) z)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 y x) z)
Calls

3 calls:

41.0ms
y
32.0ms
x
31.0ms
z
Results
ErrorSegmentsBranch
11.0b3x
14.6b5y
10.1b3z
Compiler

Compiled 33 to 19 computations (42.4% saved)

bsearch52.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
3.6418935961236943e-103
1.736591627060345e-100
26.0ms
-108693584637327.83
-43897773331613.805
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes238.0ms (4.1%)

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

3 calls:

169.0ms
y
24.0ms
z
20.0ms
x
Results
ErrorSegmentsBranch
17.4b3x
23.1b3y
10.4b3z
Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch52.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
3.6418935961236943e-103
1.736591627060345e-100
26.0ms
-4.6181362329332
-4.941137657521701e-17
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes153.0ms (2.7%)

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

3 calls:

72.0ms
y
63.0ms
z
16.0ms
x
Results
ErrorSegmentsBranch
22.0b3x
25.6b6y
18.0b9z
Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch1.1s (18.9%)

Algorithm
8×binary-search
Steps
TimeLeftRight
189.0ms
1.5254048739533667e+233
1.6478510358103047e+236
29.0ms
1.3994763019967012e+201
7.119349439850842e+202
65.0ms
2.0168761596756383e+125
5.775486670546897e+126
296.0ms
1.4385463453481565e+57
3.471190811942383e+62
61.0ms
3.6418935961236943e-103
1.736591627060345e-100
63.0ms
-108693584637327.83
-43897773331613.805
215.0ms
-9.542243659165921e+44
-7.700300778409156e+41
178.0ms
-7.820917980234738e+116
-4.7512556703121756e+116
Compiler

Compiled 661 to 484 computations (26.8% saved)

regimes112.0ms (1.9%)

Accuracy

Total -40.4b remaining (-188.7%)

Threshold costs -40.4b (-188.7%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
Outputs
(*.f64 z y)
x
(*.f64 z y)
Calls

3 calls:

51.0ms
z
45.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
22.0b3x
26.7b3y
21.4b3z
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch162.0ms (2.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
3.6418935961236943e-103
1.736591627060345e-100
134.0ms
-108693584637327.83
-43897773331613.805
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify19.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
051220
168220
277220
382220
484220
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 z -1299889788611509/281474976710656) (*.f64 (-.f64 y x) z) (if (<=.f64 z 5023455000899991/2658455991569831745807614120560689152) (+.f64 x (*.f64 z y)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -6956389416788981/64) (*.f64 (-.f64 y x) z) (if (<=.f64 z 7347093198903049/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (-.f64 x (*.f64 z x)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -1299889788611509/281474976710656) (*.f64 (-.f64 y x) z) (if (<=.f64 z 7347093198903049/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) x (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -759999999999999976829144661866609908483797427778064843710314746836034690872884631922140909145421288657705941090697216) (*.f64 z y) (if (<=.f64 z -779999999999999939070502844282243788046336) (*.f64 z (neg.f64 x)) (if (<=.f64 z -6956389416788981/64) (*.f64 z y) (if (<=.f64 z 7347093198903049/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) x (if (<=.f64 z 1450000000000000078813932160728830298078562476794511884288) (*.f64 z y) (if (<=.f64 z 5600000000000000180486366256461445777957189649145374392234397964991534420930929661223225994411540387715511913617258956959252480) (*.f64 z (neg.f64 x)) (if (<=.f64 z 1400000000000000025612034178060694955531595024353017375263303582364942047626606747130404399854974596765185463772982919332384074520708028749313545794207884934612887557058240794166948053216671840029638656) (*.f64 z y) (if (<=.f64 z 155000000000000008064232175292982006959206063278509823627573461808456723302815946037304202118339319845781566005892062645744615305997081848901416798672416825862177573128246332806546379880654157548360184113907824559039337456413408493568) (*.f64 z (neg.f64 x)) (*.f64 z y)))))))))
(if (<=.f64 z -6956389416788981/64) (*.f64 z y) (if (<=.f64 z 7347093198903049/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) x (*.f64 z y)))
x
Outputs
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 z -1299889788611509/281474976710656) (*.f64 (-.f64 y x) z) (if (<=.f64 z 5023455000899991/2658455991569831745807614120560689152) (+.f64 x (*.f64 z y)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -1299889788611509/281474976710656) (*.f64 (-.f64 y x) z) (if (<=.f64 z 5023455000899991/2658455991569831745807614120560689152) (+.f64 x (*.f64 y z)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -6956389416788981/64) (*.f64 (-.f64 y x) z) (if (<=.f64 z 7347093198903049/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (-.f64 x (*.f64 z x)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -6956389416788981/64) (*.f64 (-.f64 y x) z) (if (<=.f64 z 7347093198903049/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (-.f64 x (*.f64 x z)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -1299889788611509/281474976710656) (*.f64 (-.f64 y x) z) (if (<=.f64 z 7347093198903049/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) x (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -759999999999999976829144661866609908483797427778064843710314746836034690872884631922140909145421288657705941090697216) (*.f64 z y) (if (<=.f64 z -779999999999999939070502844282243788046336) (*.f64 z (neg.f64 x)) (if (<=.f64 z -6956389416788981/64) (*.f64 z y) (if (<=.f64 z 7347093198903049/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) x (if (<=.f64 z 1450000000000000078813932160728830298078562476794511884288) (*.f64 z y) (if (<=.f64 z 5600000000000000180486366256461445777957189649145374392234397964991534420930929661223225994411540387715511913617258956959252480) (*.f64 z (neg.f64 x)) (if (<=.f64 z 1400000000000000025612034178060694955531595024353017375263303582364942047626606747130404399854974596765185463772982919332384074520708028749313545794207884934612887557058240794166948053216671840029638656) (*.f64 z y) (if (<=.f64 z 155000000000000008064232175292982006959206063278509823627573461808456723302815946037304202118339319845781566005892062645744615305997081848901416798672416825862177573128246332806546379880654157548360184113907824559039337456413408493568) (*.f64 z (neg.f64 x)) (*.f64 z y)))))))))
(if (<=.f64 z -759999999999999976829144661866609908483797427778064843710314746836034690872884631922140909145421288657705941090697216) (*.f64 y z) (if (<=.f64 z -779999999999999939070502844282243788046336) (*.f64 z (neg.f64 x)) (if (<=.f64 z -6956389416788981/64) (*.f64 y z) (if (<=.f64 z 7347093198903049/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) x (if (<=.f64 z 1450000000000000078813932160728830298078562476794511884288) (*.f64 y z) (if (<=.f64 z 5600000000000000180486366256461445777957189649145374392234397964991534420930929661223225994411540387715511913617258956959252480) (*.f64 z (neg.f64 x)) (if (<=.f64 z 1400000000000000025612034178060694955531595024353017375263303582364942047626606747130404399854974596765185463772982919332384074520708028749313545794207884934612887557058240794166948053216671840029638656) (*.f64 y z) (if (<=.f64 z 155000000000000008064232175292982006959206063278509823627573461808456723302815946037304202118339319845781566005892062645744615305997081848901416798672416825862177573128246332806546379880654157548360184113907824559039337456413408493568) (*.f64 z (neg.f64 x)) (*.f64 y z)))))))))
(if (<=.f64 z -6956389416788981/64) (*.f64 z y) (if (<=.f64 z 7347093198903049/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) x (*.f64 z y)))
(if (<=.f64 z -6956389416788981/64) (*.f64 y z) (if (<=.f64 z 7347093198903049/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) x (*.f64 y z)))
x
Compiler

Compiled 178 to 91 computations (48.9% saved)

soundness162.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
272×fma-def_binary64
251×fma-neg_binary64
71×cancel-sign-sub-inv_binary64
54×distribute-rgt-in_binary64
41×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
1118
2248
3528
41008
51718
62838
74828
88738
911148
1012148
1112218
Stop Event
1×saturated
Compiler

Compiled 29 to 17 computations (41.4% saved)

end150.0ms (2.6%)

Compiler

Compiled 157 to 61 computations (61.1% saved)

Profiling

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