Details

Time bar (total: 6.1s)

analyze335.0ms (5.5%)

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)

sample2.5s (41.1%)

Results
2.0s8256×body256valid
454.0ms1247×body256infinite
Bogosity

preprocess98.0ms (1.6%)

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)

simplify36.0ms (0.6%)

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

rewrite74.0ms (1.2%)

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))))))

simplify84.0ms (1.4%)

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)

series4.0ms (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)

rewrite58.0ms (1%)

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)))))))

simplify87.0ms (1.4%)

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)

eval19.0ms (0.3%)

Compiler

Compiled 1176 to 343 computations (70.8% saved)

prune21.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New977104
Fresh000
Picked101
Done101
Total997106
Error
0b
Counts
106 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
▶30.1b
(*.f64 (-.f64 y x) z)
▶10.3b
(+.f64 x (*.f64 z y))
33.3b
x
▶39.7b
(*.f64 z y)
▶23.4b
(-.f64 x (*.f64 z x))
23.4b
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
Compiler

Compiled 110 to 73 computations (33.6% saved)

localize12.0ms (0.2%)

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)

series9.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite97.0ms (1.6%)

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))))))

simplify55.0ms (0.9%)

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)

localize4.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize29.0ms (0.5%)

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)

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)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite63.0ms (1%)

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))))))

simplify12.0ms (0.2%)

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)

localize6.0ms (0.1%)

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)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite66.0ms (1.1%)

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)))))))

simplify27.0ms (0.4%)

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)

eval144.0ms (2.3%)

Compiler

Compiled 5493 to 1576 computations (71.3% saved)

prune131.0ms (2.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New3874391
Fresh202
Picked011
Done134
Total3908398
Error
0b
Counts
398 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
33.3b
x
✓10.3b
(+.f64 x (*.f64 z y))
▶23.4b
(*.f64 (-.f64 1 z) x)
✓30.1b
(*.f64 (-.f64 y x) z)
✓39.7b
(*.f64 z y)
✓23.4b
(-.f64 x (*.f64 z x))
▶52.8b
(*.f64 z (neg.f64 x))
▶30.1b
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
Compiler

Compiled 60 to 40 computations (33.3% saved)

localize5.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite60.0ms (1%)

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

simplify22.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
140×fma-def_binary64
84×fma-neg_binary64
22×cancel-sign-sub-inv_binary64
21×associate-*r*_binary64
19×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0785
11476
23376
35176
47276
514676
628376
739276
847576
953976
Stop Event
1×saturated
Counts
29 → 22
Calls
Call 1
Inputs
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
x
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))

localize58.0ms (0.9%)

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)

eval123.0ms (2%)

Compiler

Compiled 2585 to 733 computations (71.6% saved)

prune30.0ms (0.5%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1761177
Fresh011
Picked101
Done066
Total1778185
Error
0b
Counts
185 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
33.3b
x
✓10.3b
(+.f64 x (*.f64 z y))
✓23.4b
(*.f64 (-.f64 1 z) x)
✓30.1b
(*.f64 (-.f64 y x) z)
▶30.1b
(-.f64 (*.f64 z y) (*.f64 z x))
✓52.8b
(*.f64 z (neg.f64 x))
✓39.7b
(*.f64 z y)
✓23.4b
(-.f64 x (*.f64 z x))
Compiler

Compiled 59 to 39 computations (33.9% saved)

localize7.0ms (0.1%)

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)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite95.0ms (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)))))))

simplify63.0ms (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)

eval11.0ms (0.2%)

Compiler

Compiled 849 to 230 computations (72.9% saved)

prune15.0ms (0.3%)

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
33.3b
x
✓10.3b
(+.f64 x (*.f64 z y))
✓23.4b
(*.f64 (-.f64 1 z) x)
✓30.1b
(*.f64 (-.f64 y x) z)
✓30.1b
(-.f64 (*.f64 z y) (*.f64 z x))
✓52.8b
(*.f64 z (neg.f64 x))
✓39.7b
(*.f64 z y)
✓23.4b
(-.f64 x (*.f64 z x))
Compiler

Compiled 59 to 39 computations (33.9% saved)

regimes78.0ms (1.3%)

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

4 calls:

45.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
12.0ms
x
10.0ms
z
9.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 99 to 39 computations (60.6% saved)

regimes35.0ms (0.6%)

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

4 calls:

10.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
8.0ms
x
8.0ms
y
8.0ms
z
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 83 to 37 computations (55.4% saved)

regimes62.0ms (1%)

Counts
10 → 3
Calls
Call 1
Inputs
x
x
(*.f64 z y)
(*.f64 z (neg.f64 x))
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 y x) z)
(+.f64 x (*.f64 z y))
(-.f64 x (*.f64 z x))
(-.f64 (*.f64 z y) (*.f64 z x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
Outputs
(-.f64 (*.f64 z y) (*.f64 z x))
(+.f64 x (*.f64 z y))
(-.f64 (*.f64 z y) (*.f64 z x))
Calls

3 calls:

30.0ms
z
18.0ms
y
12.0ms
x
Results
ErrorSegmentsBranch
8.1b2x
4.3b3y
1.1b3z
Compiler

Compiled 58 to 29 computations (50% saved)

bsearch36.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
3.1713488635460527e-16
1.1690437629557916e-11
17.0ms
-34.09398674516787
-0.006713650935853108
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes65.0ms (1.1%)

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

3 calls:

32.0ms
x
17.0ms
z
14.0ms
y
Results
ErrorSegmentsBranch
8.1b2x
4.3b3y
1.2b3z
Compiler

Compiled 44 to 23 computations (47.7% saved)

bsearch70.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
53.0ms
3.1713488635460527e-16
1.1690437629557916e-11
17.0ms
-34.09398674516787
-0.006713650935853108
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes209.0ms (3.4%)

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

3 calls:

143.0ms
x
50.0ms
y
14.0ms
z
Results
ErrorSegmentsBranch
12.4b7x
12.9b3y
12.8b3z
Compiler

Compiled 34 to 20 computations (41.2% saved)

bsearch207.0ms (3.4%)

Algorithm
6×binary-search
Steps
TimeLeftRight
12.0ms
1.1130040718516813e+101
9.847591993572464e+101
56.0ms
1.9044888393243542e+69
8.220014188553915e+73
17.0ms
3.575019234164951e-76
1.2678667181611123e-75
45.0ms
-4.0959564310901975e-49
-1.833837161105884e-50
35.0ms
-4.725423738839863e-21
-1.8449012033723863e-21
43.0ms
-332781774239692.56
-82315812413540.5
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes98.0ms (1.6%)

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

3 calls:

59.0ms
x
21.0ms
y
17.0ms
z
Results
ErrorSegmentsBranch
14.8b7x
14.3b3y
19.2b4z
Compiler

Compiled 29 to 18 computations (37.9% saved)

bsearch38.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
9.692060928859593e-12
3.9333279779955695e-9
17.0ms
-1.9982044482918197e+63
-2.1864095930882552e+50
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes70.0ms (1.1%)

Counts
4 → 5
Calls
Call 1
Inputs
x
x
(*.f64 z y)
(*.f64 z (neg.f64 x))
Outputs
(*.f64 z (neg.f64 x))
x
(*.f64 z y)
(*.f64 z (neg.f64 x))
(*.f64 z y)
Calls

3 calls:

34.0ms
x
18.0ms
y
17.0ms
z
Results
ErrorSegmentsBranch
22.3b7x
23.0b3y
20.2b5z
Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch171.0ms (2.8%)

Algorithm
4×binary-search
Steps
TimeLeftRight
44.0ms
9.352450582249841e+108
3.9258087351082675e+113
90.0ms
8.389942929683084e+75
5.719442837541973e+84
20.0ms
3.1713488635460527e-16
1.1690437629557916e-11
17.0ms
-34.09398674516787
-0.006713650935853108
Compiler

Compiled 271 to 198 computations (26.9% saved)

regimes49.0ms (0.8%)

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

3 calls:

23.0ms
x
14.0ms
y
11.0ms
z
Results
ErrorSegmentsBranch
22.3b7x
23.0b3y
22.6b3z
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch283.0ms (4.6%)

Algorithm
6×binary-search
Steps
TimeLeftRight
181.0ms
1.1130040718516813e+101
9.847591993572464e+101
17.0ms
8.220014188553915e+73
2.694293636998175e+80
23.0ms
3.575019234164951e-76
1.2678667181611123e-75
17.0ms
-3.7240720346777915e-64
-3.659387495246257e-79
17.0ms
-5.087306856927115e-12
-1.4764938507797435e-16
28.0ms
-332781774239692.56
-82315812413540.5
Compiler

Compiled 88 to 65 computations (26.1% saved)

regimes11.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

3 calls:

3.0ms
z
3.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
33.3b1x
33.3b1y
33.3b1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify17.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
9×+-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
073305
196305
2105305
3110305
4112305
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 z -2399151031267385/70368744177664) (-.f64 (*.f64 z y) (*.f64 z x)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (+.f64 x (*.f64 z y)) (-.f64 (*.f64 z y) (*.f64 z x))))
(if (<=.f64 z -2399151031267385/70368744177664) (*.f64 (-.f64 y x) z) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (+.f64 x (*.f64 z y)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 x -5324508387835081/16) (*.f64 (-.f64 1 z) x) (if (<=.f64 x -6281165525612575/1329227995784915872903807060280344576) (*.f64 (-.f64 y x) z) (if (<=.f64 x -2695965989579209/6582018229284824168619876730229402019930943462534319453394436096) (*.f64 (-.f64 1 z) x) (if (<=.f64 x 2912977118432707/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (*.f64 (-.f64 y x) z) (if (<=.f64 x 1904488839324354193860577734265334507814182296599609457521693107945472) (*.f64 (-.f64 1 z) x) (if (<=.f64 x 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440) (*.f64 (-.f64 y x) z) (*.f64 (-.f64 1 z) x)))))))
(if (<=.f64 y -1998204448291819650491734267547296394368260071029785744105275392) (*.f64 z y) (if (<=.f64 y 1499773785878593/154742504910672534362390528) (*.f64 (-.f64 1 z) x) (*.f64 z y)))
(if (<=.f64 z -2399151031267385/70368744177664) (*.f64 z (neg.f64 x)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) x (if (<=.f64 z 5500000000000000425556141108239991042073029547106875448587807937953207761507526377472) (*.f64 z y) (if (<=.f64 z 380000000000000033253212188985049403878194369800270411595130706728872292164739747365106938159917070410873099517952) (*.f64 z (neg.f64 x)) (*.f64 z y)))))
(if (<=.f64 x -5324508387835081/16) x (if (<=.f64 x -6297780850321137/1237940039285380274899124224) (*.f64 z y) (if (<=.f64 x -2759795720739869/7410693711188236507108543040556026102609279018600996098525285376506440296955904) x (if (<=.f64 x 2912977118432707/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (*.f64 z y) (if (<=.f64 x 82200141885539147675179736521533608504255191977176504777334378110994350080) x (if (<=.f64 x 111999999999999992456313121609611280832223903163296399681998041196506092239608701134370294856595537920) (*.f64 z y) x))))))
x
Outputs
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
(+.f64 x (-.f64 (*.f64 z y) (*.f64 x z)))
(+.f64 x (*.f64 (-.f64 y x) z))
(+.f64 x (*.f64 z (-.f64 y x)))
(if (<=.f64 z -2399151031267385/70368744177664) (-.f64 (*.f64 z y) (*.f64 z x)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (+.f64 x (*.f64 z y)) (-.f64 (*.f64 z y) (*.f64 z x))))
(if (<=.f64 z -2399151031267385/70368744177664) (-.f64 (*.f64 z y) (*.f64 x z)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (+.f64 x (*.f64 z y)) (-.f64 (*.f64 z y) (*.f64 x z))))
(if (<=.f64 z -2399151031267385/70368744177664) (*.f64 (-.f64 y x) z) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (+.f64 x (*.f64 z y)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -2399151031267385/70368744177664) (*.f64 z (-.f64 y x)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (+.f64 x (*.f64 z y)) (*.f64 z (-.f64 y x))))
(if (<=.f64 x -5324508387835081/16) (*.f64 (-.f64 1 z) x) (if (<=.f64 x -6281165525612575/1329227995784915872903807060280344576) (*.f64 (-.f64 y x) z) (if (<=.f64 x -2695965989579209/6582018229284824168619876730229402019930943462534319453394436096) (*.f64 (-.f64 1 z) x) (if (<=.f64 x 2912977118432707/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (*.f64 (-.f64 y x) z) (if (<=.f64 x 1904488839324354193860577734265334507814182296599609457521693107945472) (*.f64 (-.f64 1 z) x) (if (<=.f64 x 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440) (*.f64 (-.f64 y x) z) (*.f64 (-.f64 1 z) x)))))))
(if (<=.f64 x -5324508387835081/16) (*.f64 x (-.f64 1 z)) (if (<=.f64 x -6281165525612575/1329227995784915872903807060280344576) (*.f64 z (-.f64 y x)) (if (<=.f64 x -2695965989579209/6582018229284824168619876730229402019930943462534319453394436096) (*.f64 x (-.f64 1 z)) (if (<=.f64 x 2912977118432707/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (*.f64 z (-.f64 y x)) (if (<=.f64 x 1904488839324354193860577734265334507814182296599609457521693107945472) (*.f64 x (-.f64 1 z)) (if (<=.f64 x 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440) (*.f64 z (-.f64 y x)) (*.f64 x (-.f64 1 z))))))))
(if (<=.f64 y -1998204448291819650491734267547296394368260071029785744105275392) (*.f64 z y) (if (<=.f64 y 1499773785878593/154742504910672534362390528) (*.f64 (-.f64 1 z) x) (*.f64 z y)))
(if (<=.f64 y -1998204448291819650491734267547296394368260071029785744105275392) (*.f64 z y) (if (<=.f64 y 1499773785878593/154742504910672534362390528) (*.f64 x (-.f64 1 z)) (*.f64 z y)))
(if (<=.f64 z -2399151031267385/70368744177664) (*.f64 z (neg.f64 x)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) x (if (<=.f64 z 5500000000000000425556141108239991042073029547106875448587807937953207761507526377472) (*.f64 z y) (if (<=.f64 z 380000000000000033253212188985049403878194369800270411595130706728872292164739747365106938159917070410873099517952) (*.f64 z (neg.f64 x)) (*.f64 z y)))))
(if (<=.f64 x -5324508387835081/16) x (if (<=.f64 x -6297780850321137/1237940039285380274899124224) (*.f64 z y) (if (<=.f64 x -2759795720739869/7410693711188236507108543040556026102609279018600996098525285376506440296955904) x (if (<=.f64 x 2912977118432707/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (*.f64 z y) (if (<=.f64 x 82200141885539147675179736521533608504255191977176504777334378110994350080) x (if (<=.f64 x 111999999999999992456313121609611280832223903163296399681998041196506092239608701134370294856595537920) (*.f64 z y) x))))))
x
Compiler

Compiled 240 to 130 computations (45.8% saved)

soundness0.0ms (0%)

end100.0ms (1.6%)

Compiler

Compiled 216 to 94 computations (56.5% saved)

Profiling

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