Details

Time bar (total: 6.3s)

analyze302.0ms (4.8%)

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)

sample1.7s (27.2%)

Results
1.4s8256×body256valid
300.0ms1301×body256infinite
Bogosity

preprocess106.0ms (1.7%)

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)

simplify34.0ms (0.5%)

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

Compiled 21 to 6 computations (71.4% saved)

series28.0ms (0.5%)

Counts
2 → 60
Calls

18 calls:

TimeVariablePointExpression
21.0ms
y
@-inf
(+.f64 x (*.f64 (-.f64 y x) z))
1.0ms
x
@inf
(+.f64 x (*.f64 (-.f64 y x) z))
1.0ms
x
@0
(+.f64 x (*.f64 (-.f64 y x) z))
1.0ms
z
@0
(+.f64 x (*.f64 (-.f64 y x) z))
1.0ms
z
@inf
(+.f64 x (*.f64 (-.f64 y x) z))

rewrite184.0ms (2.9%)

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 x (*.f64 (-.f64 y x) z))
(*.f64 (-.f64 y x) z)
Outputs
((#(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))))))
((#(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 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) z) (+.f64 x y))))) (#(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 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 x y))))) (#(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)))))))

simplify93.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
407×fma-def_binary64
300×fma-neg_binary64
64×cancel-sign-sub-inv_binary64
60×distribute-rgt-in_binary64
42×associate--r+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023531
158420
2111420
3220420
4381420
5689420
61070420
71309420
81428420
91430420
Stop Event
1×saturated
Counts
114 → 69
Calls
Call 1
Inputs
(*.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)
(*.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 y z)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (fma.f64 -1 z 1) x)
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(*.f64 (fma.f64 -1 z 1) x)
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 (fma.f64 -1 z 1) x)
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
x
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) 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 (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) 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 (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (*.f64 (fma.f64 -1 z 1) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(neg.f64 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(neg.f64 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(neg.f64 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))

localize11.0ms (0.2%)

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)

series8.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(fma.f64 (-.f64 y x) z x)
1.0ms
y
@0
(fma.f64 (-.f64 y x) z x)
1.0ms
z
@-inf
(fma.f64 (-.f64 y x) z x)
1.0ms
z
@inf
(fma.f64 (-.f64 y x) z x)
1.0ms
x
@-inf
(fma.f64 (-.f64 y x) z x)

rewrite57.0ms (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)))))))

simplify76.0ms (1.2%)

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)

eval46.0ms (0.7%)

Compiler

Compiled 1167 to 339 computations (71% saved)

prune22.0ms (0.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New967103
Fresh000
Picked011
Done011
Total969105
Error
0b
Counts
105 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 x (*.f64 (-.f64 y x) z))
▶25.1b
(-.f64 x (*.f64 z x))
▶26.5b
(*.f64 (-.f64 y x) z)
37.1b
x
✓0.0b
(fma.f64 (-.f64 y x) z x)
▶25.1b
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
▶38.3b
(*.f64 z y)
▶0.0b
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
0.0b
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
Compiler

Compiled 141 to 92 computations (34.8% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 36 to 15 computations (58.3% saved)

series8.0ms (0.1%)

Counts
2 → 42
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+.f64 (*.f64 -1 (*.f64 z x)) x)
1.0ms
x
@0
(+.f64 (*.f64 -1 (*.f64 z x)) x)
1.0ms
z
@0
(+.f64 (*.f64 -1 (*.f64 z x)) x)
1.0ms
y
@0
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
0.0ms
z
@-inf
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))

rewrite116.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
684×fma-def_binary64
537×log-prod_binary64
413×pow-prod-down_binary64
349×fma-neg_binary64
274×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01020
122018
2324314
Stop Event
1×node limit
Counts
2 → 197
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z x) 2) (-.f64 (*.f64 z x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 -1 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z x x)) (pow.f64 (cbrt.f64 (fma.f64 z x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) 2) (cbrt.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z x x)) (sqrt.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 z x) 3) 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x))) (+.f64 1 (expm1.f64 (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z y))) (exp.f64 (fma.f64 z x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) z) (+.f64 1 (expm1.f64 (fma.f64 z x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z y))) (+.f64 1 (expm1.f64 (fma.f64 z x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 y) (exp.f64 x)) z) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 z x (*.f64 z y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 y) (exp.f64 x)) z) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z y (fma.f64 z x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z y (fma.f64 z x x))))))) (#(struct:change #<rule 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(*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 1 (neg.f64 z)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z x) -1 (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z x) 1 (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z x x) 1 (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z y) 1 (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 z x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 z x x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z y) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 z x (*.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) z) (fma.f64 z x 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 (cbrt.f64 (*.f64 z x)) (cbrt.f64 (pow.f64 (*.f64 z x) 2)) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2)) (cbrt.f64 (*.f64 z x)) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2)) (neg.f64 (cbrt.f64 (*.f64 z x))) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) x) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) y) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 z x x)) (pow.f64 (cbrt.f64 (fma.f64 z x x)) 2) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) 2) (cbrt.f64 (fma.f64 z x x)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 z x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 z x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) z) (+.f64 x (*.f64 z y)))))) (#(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 y)) (sqrt.f64 (*.f64 z y)) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (neg.f64 (sqrt.f64 (*.f64 z x))) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) -1) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (+.f64 x (*.f64 z y)))))) (#(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 (fma.f64 z x x)) (sqrt.f64 (fma.f64 z x x)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 z x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 z x x) (pow.f64 (*.f64 z x) 2))) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 z x) x)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) x (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z x (*.f64 z y)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z x (*.f64 z y))) 2) (cbrt.f64 (fma.f64 z x (*.f64 z y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z x (*.f64 z y))) (sqrt.f64 (fma.f64 z x (*.f64 z y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) z (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 x) z (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2))) (cbrt.f64 (*.f64 z x)) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 z 1) x (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (*.f64 y y))) (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 (cbrt.f64 (*.f64 z z))) (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 (cbrt.f64 (pow.f64 (*.f64 z x) 2))) (cbrt.f64 (*.f64 z x)) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) x (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 x (*.f64 z y)))))))

simplify79.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
311×fma-neg_binary64
269×fma-def_binary64
51×cancel-sign-sub-inv_binary64
43×unsub-neg_binary64
42×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027344
178289
2163289
3305289
4635289
51047289
61207289
71221289
Stop Event
1×saturated
Counts
239 → 214
Calls
Call 1
Inputs
x
(*.f64 -1 (*.f64 z x))
(*.f64 -1 (*.f64 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)
(*.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)
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 y z)
(*.f64 y z)
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 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)))
Outputs
x
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
x
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(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 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(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 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x)
(fma.f64 z (+.f64 y (neg.f64 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 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(*.f64 x (fma.f64 -1 z 1))
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.1%)

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 x))
Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 x (*.f64 z x))
0.0ms
x
@0
(-.f64 x (*.f64 z x))
0.0ms
z
@inf
(-.f64 x (*.f64 z x))
0.0ms
x
@-inf
(-.f64 x (*.f64 z x))
0.0ms
z
@-inf
(-.f64 x (*.f64 z x))

rewrite53.0ms (0.8%)

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)))))))

simplify24.0ms (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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 22 to 16 computations (27.3% saved)

series4.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
1.0ms
x
@0
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
0.0ms
x
@inf
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
0.0ms
x
@-inf
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
0.0ms
z
@inf
(*.f64 (+.f64 (*.f64 -1 z) 1) x)

rewrite56.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
088
11597
219667
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) x) (fma.f64 z z (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -1) x) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 z 3))) (fma.f64 z z (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 z z -1)) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 z 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 z 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 z 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 z) (log.f64 x)))))))

simplify26.0ms (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
33 → 26
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))

eval83.0ms (1.3%)

Compiler

Compiled 3861 to 1190 computations (69.2% saved)

prune111.0ms (1.8%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New3035308
Fresh112
Picked101
Done156
Total30611317
Error
0b
Counts
317 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 (*.f64 y z) (-.f64 x (*.f64 z x)))
✓0.0b
(fma.f64 (-.f64 y x) z x)
▶12.8b
(+.f64 (*.f64 y z) x)
✓0.0b
(+.f64 x (*.f64 (-.f64 y x) z))
✓25.1b
(-.f64 x (*.f64 z x))
✓26.5b
(*.f64 (-.f64 y x) z)
▶26.5b
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
37.1b
x
▶50.8b
(*.f64 z (neg.f64 x))
✓38.3b
(*.f64 z y)
▶25.1b
(*.f64 (-.f64 1 z) x)
Compiler

Compiled 137 to 88 computations (35.8% saved)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 7 computations (73.1% saved)

series6.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(+.f64 (*.f64 y z) (-.f64 x (*.f64 z x)))
1.0ms
y
@0
(+.f64 (*.f64 y z) (-.f64 x (*.f64 z x)))
1.0ms
z
@-inf
(+.f64 (*.f64 y z) (-.f64 x (*.f64 z x)))
0.0ms
y
@-inf
(+.f64 (*.f64 y z) (-.f64 x (*.f64 z x)))
0.0ms
x
@inf
(+.f64 (*.f64 y z) (-.f64 x (*.f64 z x)))

rewrite68.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
535×fma-def_binary64
506×log-prod_binary64
370×pow-prod-down_binary64
359×exp-prod_binary64
260×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
118511
2281311
Stop Event
1×node limit
Counts
1 → 89
Calls
Call 1
Inputs
(+.f64 (*.f64 y z) (-.f64 x (*.f64 z x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (*.f64 z x) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 y z x) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 y z x) (*.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (+.f64 (-.f64 (*.f64 y z) x) (*.f64 z x))) (/.f64 (pow.f64 (*.f64 x (-.f64 1 z)) 2) (+.f64 (-.f64 (*.f64 y z) x) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y z x) (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 y z x) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))) 2) (cbrt.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))) (sqrt.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 x (-.f64 1 z)) 3)) (/.f64 1 (fma.f64 (*.f64 x (-.f64 1 z)) (-.f64 (*.f64 x (-.f64 1 z)) (*.f64 y z)) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 x (-.f64 1 z)) 2)) (/.f64 1 (+.f64 (-.f64 (*.f64 y z) x) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x (-.f64 1 z)) (-.f64 (*.f64 x (-.f64 1 z)) (*.f64 y z)) (pow.f64 (*.f64 y z) 2)) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 x (-.f64 1 z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 (*.f64 y z) x) (*.f64 z x)) (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 x (-.f64 1 z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 x (-.f64 1 z)) 3)) (fma.f64 (*.f64 x (-.f64 1 z)) (-.f64 (*.f64 x (-.f64 1 z)) (*.f64 y z)) (pow.f64 (*.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 x (-.f64 1 z)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1 z)) 2) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (*.f64 y z) (*.f64 x (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 x (-.f64 1 z)) 2)) (+.f64 (-.f64 (*.f64 y z) x) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 x (-.f64 1 z)) 3))) (neg.f64 (fma.f64 (*.f64 x (-.f64 1 z)) (-.f64 (*.f64 x (-.f64 1 z)) (*.f64 y z)) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 x (-.f64 1 z)) 2))) (neg.f64 (+.f64 (-.f64 (*.f64 y z) x) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y z x) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (fma.f64 y z x) 2) (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (fma.f64 y z x) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y z x) 2) (pow.f64 (*.f64 z x) 2)) (+.f64 (fma.f64 y z x) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1 z)) 2) (pow.f64 (*.f64 y z) 2)) (-.f64 (*.f64 x (-.f64 1 z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 y z x) (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y z x) (*.f64 z x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y z x) (*.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x (-.f64 1 z)) (-.f64 (*.f64 x (-.f64 1 z)) (*.f64 y z)) (pow.f64 (*.f64 y z) 2)) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 x (-.f64 1 z)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (-.f64 (*.f64 y z) x) (*.f64 z x)) (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 x (-.f64 1 z)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 y z x) (*.f64 z x)))) 2)) (cbrt.f64 (log.f64 (-.f64 (fma.f64 y z x) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))))) (sqrt.f64 (log.f64 (-.f64 (fma.f64 y z x) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y z x) (*.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y z x) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 y z x)) (+.f64 1 (expm1.f64 (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y z))) (pow.f64 (exp.f64 x) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) z) (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y z))) (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 z)))) (pow.f64 (exp.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 z)) (+.f64 1 (expm1.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 z)))) (+.f64 1 (expm1.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y z x) (*.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 y z x) (*.f64 z x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y z x) (*.f64 z x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 y z x) (*.f64 z x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) 1 (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 z (neg.f64 x) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (neg.f64 (-.f64 (*.f64 z x) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1 z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 1 (neg.f64 z)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (-.f64 1 z)) 1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 z (neg.f64 x) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (-.f64 (*.f64 z x) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 1 z)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y z x) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 z (neg.f64 x) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (*.f64 z x) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 z (neg.f64 x) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z x) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y) (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (-.f64 1 z))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 z))) 2) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 z))) 2) (cbrt.f64 (*.f64 x (-.f64 1 z))) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 z (neg.f64 x) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z x) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 1 z))) (sqrt.f64 (*.f64 x (-.f64 1 z))) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z x) 3)) (/.f64 1 (fma.f64 (*.f64 z x) (fma.f64 z x x) (*.f64 x x))) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z x) 2)) (/.f64 1 (fma.f64 z x x)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z x))) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 z 1) x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (-.f64 1 z)))))))

simplify45.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
256×fma-def_binary64
249×fma-neg_binary64
59×unsub-neg_binary64
44×distribute-rgt-in_binary64
41×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027345
172264
2136264
3382264
4830264
51117264
61226264
71229264
Stop Event
1×saturated
Counts
125 → 105
Calls
Call 1
Inputs
(-.f64 x (*.f64 z x))
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(*.f64 y z)
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(*.f64 y z)
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z 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 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x))))
(+.f64 x (*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x)))))
(+.f64 x (*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x)))))
(+.f64 x (*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x)))))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 (-.f64 1 z) x))
(+.f64 (*.f64 y z) (*.f64 (-.f64 1 z) x))
(+.f64 (*.f64 y z) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) x)
(+.f64 (*.f64 y z) (*.f64 (-.f64 1 z) x))
(+.f64 (*.f64 y z) (*.f64 (-.f64 1 z) x))
(+.f64 (*.f64 y z) (*.f64 (-.f64 1 z) 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))
Outputs
(-.f64 x (*.f64 z x))
(-.f64 x (*.f64 x z))
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(*.f64 z y)
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(*.f64 z y)
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
x
(+.f64 (*.f64 (-.f64 y x) z) x)
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 (-.f64 y x) z) x)
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x))))
(*.f64 z (-.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x)))))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(+.f64 x (*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x)))))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(+.f64 x (*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 y) (*.f64 -1 x)))))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 (-.f64 1 z) x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (-.f64 1 z) x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (-.f64 1 z) x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 y z) (*.f64 (-.f64 1 z) x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (-.f64 1 z) x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (-.f64 1 z) x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(-.f64 (fma.f64 y z x) (*.f64 x z))
(fma.f64 z (-.f64 y x) x)

localize5.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize5.0ms (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)

series2.0ms (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
x
@-inf
(*.f64 (-.f64 1 z) x)
0.0ms
z
@0
(*.f64 (-.f64 1 z) x)
0.0ms
z
@inf
(*.f64 (-.f64 1 z) x)

rewrite51.0ms (0.8%)

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)))))))

simplify19.0ms (0.3%)

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))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts
1 → 9
Calls

9 calls:

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

rewrite55.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify16.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

localize8.0ms (0.1%)

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)

series3.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite67.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
834×pow1_binary64
772×add-log-exp_binary64
771×log1p-expm1-u_binary64
771×expm1-log1p-u_binary64
755×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089
11767
225647
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (+.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z y) 2) (*.f64 z (+.f64 y x))) (/.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (+.f64 y x)) 2) (/.f64 1 (*.f64 z (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) 2)) (cbrt.f64 (*.f64 z (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.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 (sqrt.f64 z) (*.f64 (sqrt.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 (+.f64 y x)) 2) (*.f64 (*.f64 z y) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 y x)) 1)))) (#(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 (+.f64 y x)) 2) (*.f64 (*.f64 z y) (*.f64 z 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)) (pow.f64 (*.f64 z (+.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 z (+.f64 y x)) 2) (*.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 (pow.f64 (*.f64 z (+.f64 y x)) 2) (*.f64 (*.f64 z y) (*.f64 z x))))))) (#(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 x) 2) (-.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z y) (*.f64 z 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 (+.f64 y x)) 2) (*.f64 (*.f64 z y) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 z (+.f64 y 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 z x) 3)) (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) 2) (*.f64 (*.f64 z y) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (pow.f64 (*.f64 z y) 2)) (-.f64 (*.f64 z x) (*.f64 z y)))))) (#(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 pow.f64 (*.f64 z (+.f64 y x)) 1)))) (#(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 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (cbrt.f64 (*.f64 z y)) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 z x))))))

simplify29.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
146×fma-def_binary64
108×fma-neg_binary64
32×unsub-neg_binary64
30×cancel-sign-sub-inv_binary64
28×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016300
146240
2102240
3178240
4314240
5491240
6605240
7646240
Stop Event
1×saturated
Counts
80 → 52
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)))
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))
(neg.f64 (*.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))
(neg.f64 (*.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))
(neg.f64 (*.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))

eval57.0ms (0.9%)

Compiler

Compiled 3450 to 1243 computations (64% saved)

prune89.0ms (1.4%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New2603263
Fresh101
Picked101
Done189
Total26311274
Error
0b
Counts
274 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
37.1b
x
✓26.5b
(*.f64 (-.f64 y x) z)
✓12.8b
(+.f64 (*.f64 y z) x)
✓0.0b
(+.f64 (*.f64 y z) (-.f64 x (*.f64 z x)))
✓50.8b
(*.f64 z (neg.f64 x))
▶12.8b
(fma.f64 z y x)
✓0.0b
(+.f64 x (*.f64 (-.f64 y x) z))
✓25.1b
(-.f64 x (*.f64 z x))
✓38.3b
(*.f64 z y)
▶26.5b
(-.f64 (*.f64 z y) (*.f64 z x))
✓25.1b
(*.f64 (-.f64 1 z) x)
Compiler

Compiled 88 to 56 computations (36.4% saved)

localize13.0ms (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)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite77.0ms (1.2%)

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)))))))

simplify41.0ms (0.7%)

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)

localize9.0ms (0.1%)

Compiler

Compiled 10 to 4 computations (60% saved)

eval22.0ms (0.3%)

Compiler

Compiled 849 to 230 computations (72.9% saved)

prune68.0ms (1.1%)

Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New58058
Fresh011
Picked011
Done099
Total581169
Error
0b
Counts
69 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
37.1b
x
✓26.5b
(*.f64 (-.f64 y x) z)
✓12.8b
(+.f64 (*.f64 y z) x)
✓0.0b
(+.f64 (*.f64 y z) (-.f64 x (*.f64 z x)))
✓50.8b
(*.f64 z (neg.f64 x))
✓12.8b
(fma.f64 z y x)
✓0.0b
(+.f64 x (*.f64 (-.f64 y x) z))
✓25.1b
(-.f64 x (*.f64 z x))
✓38.3b
(*.f64 z y)
✓26.5b
(-.f64 (*.f64 z y) (*.f64 z x))
✓25.1b
(*.f64 (-.f64 1 z) x)
Compiler

Compiled 88 to 56 computations (36.4% saved)

regimes136.0ms (2.2%)

Counts
17 → 1
Calls
Call 1
Inputs
x
x
(*.f64 z y)
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 y z) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 y x) z)
(-.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 (*.f64 y z) (-.f64 x (*.f64 z x)))
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 z y x)
(fma.f64 (-.f64 y x) z x)
Outputs
(fma.f64 (-.f64 y x) z x)
Calls

4 calls:

46.0ms
x
45.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
20.0ms
y
18.0ms
z
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 123 to 46 computations (62.6% saved)

regimes144.0ms (2.3%)

Counts
16 → 1
Calls
Call 1
Inputs
x
x
(*.f64 z y)
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 y z) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 y x) z)
(-.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 (*.f64 y z) (-.f64 x (*.f64 z x)))
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 z y x)
Outputs
(+.f64 (*.f64 y z) (-.f64 x (*.f64 z x)))
Calls

4 calls:

53.0ms
y
49.0ms
z
19.0ms
x
18.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 117 to 45 computations (61.5% saved)

regimes120.0ms (1.9%)

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

45.0ms
x
16.0ms
y
15.0ms
z
14.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 83 to 38 computations (54.2% saved)

regimes154.0ms (2.5%)

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

3 calls:

81.0ms
y
38.0ms
z
30.0ms
x
Results
ErrorSegmentsBranch
5.2b5x
6.1b3y
1.3b3z
Compiler

Compiled 58 to 30 computations (48.3% saved)

bsearch64.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
46.0ms
0.002967947162656754
0.06080698161188071
17.0ms
-335.7984585828583
-0.00011888305693693373
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes97.0ms (1.6%)

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

3 calls:

52.0ms
x
23.0ms
y
16.0ms
z
Results
ErrorSegmentsBranch
5.2b5x
6.1b3y
1.3b3z
Compiler

Compiled 44 to 24 computations (45.5% saved)

bsearch72.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
54.0ms
0.002967947162656754
0.06080698161188071
17.0ms
-335.7984585828583
-0.00011888305693693373
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes79.0ms (1.3%)

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

3 calls:

31.0ms
z
26.0ms
x
20.0ms
y
Results
ErrorSegmentsBranch
6.7b3x
6.1b3y
8.5b6z
Compiler

Compiled 39 to 22 computations (43.6% saved)

bsearch70.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
33.0ms
7.546039477756458e-186
3.765275559061152e-183
37.0ms
-1.2675943329902867e-64
-2.339196895420966e-65
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes61.0ms (1%)

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

3 calls:

29.0ms
z
16.0ms
x
14.0ms
y
Results
ErrorSegmentsBranch
11.6b3x
11.3b3y
8.8b6z
Compiler

Compiled 29 to 17 computations (41.4% saved)

bsearch380.0ms (6.1%)

Algorithm
5×binary-search
Steps
TimeLeftRight
51.0ms
1.77259321896855e+137
3.6699780646739134e+139
39.0ms
7.220222068212242e+61
3.8683880918509244e+62
16.0ms
0.06080698161188071
1542.3229346326343
200.0ms
-1.8848405324256442e+23
-288809620461165250.0
73.0ms
-1.5126684605396808e+48
-2.121917224007206e+44
Compiler

Compiled 500 to 358 computations (28.4% saved)

regimes142.0ms (2.3%)

Counts
4 → 10
Calls
Call 1
Inputs
x
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)
x
(*.f64 z y)
(*.f64 z (neg.f64 x))
(*.f64 z y)
(*.f64 z (neg.f64 x))
Calls

3 calls:

93.0ms
z
28.0ms
y
19.0ms
x
Results
ErrorSegmentsBranch
20.8b5x
25.7b5y
18.2b10z
Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch368.0ms (5.9%)

Algorithm
9×binary-search
Steps
TimeLeftRight
24.0ms
1.77259321896855e+137
3.6699780646739134e+139
74.0ms
7.220222068212242e+61
3.8683880918509244e+62
20.0ms
0.06080698161188071
1542.3229346326343
16.0ms
1.3874543125872942e-123
5.7790482973272024e-123
85.0ms
-4.908044267308802e-158
-1.0744419186565565e-159
16.0ms
-2.5556540052464727e-68
-1.5281948046952738e-69
22.0ms
-4.277029720035062e-13
-2.088134531898309e-14
44.0ms
-1.8848405324256442e+23
-288809620461165250.0
67.0ms
-1.5126684605396808e+48
-2.121917224007206e+44
Compiler

Compiled 346 to 253 computations (26.9% saved)

regimes65.0ms (1%)

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

3 calls:

35.0ms
y
16.0ms
z
10.0ms
x
Results
ErrorSegmentsBranch
22.0b3x
27.6b3y
22.3b5z
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch32.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
1.5673003047544302e-114
2.1024855135447077e-112
17.0ms
-1.7497540898071024e-9
-1.4121282322146166e-9
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes36.0ms (0.6%)

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:

28.0ms
y
3.0ms
x
3.0ms
z
Results
ErrorSegmentsBranch
37.1b1x
37.1b1y
37.1b1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify16.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
074312
199312
2110312
3115312
4117312
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 y x) z x)
(+.f64 (*.f64 y z) (-.f64 x (*.f64 z x)))
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 z -1476857239204441/4398046511104) (-.f64 (*.f64 z y) (*.f64 z x)) (if (<=.f64 z 3421810108363847/1152921504606846976) (+.f64 (*.f64 y z) x) (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -1476857239204441/4398046511104) (*.f64 (-.f64 y x) z) (if (<=.f64 z 3421810108363847/1152921504606846976) (+.f64 (*.f64 y z) x) (*.f64 (-.f64 y x) z)))
(if (<=.f64 y -1878750670365793/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (+.f64 (*.f64 y z) x) (if (<=.f64 y 1155223964348205/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (*.f64 (-.f64 1 z) x) (+.f64 (*.f64 y z) x)))
(if (<=.f64 z -219999999999999995638546337394828531480920064) (+.f64 (*.f64 y z) x) (if (<=.f64 z -185000000000000006291456) (*.f64 z (neg.f64 x)) (if (<=.f64 z 4381604795660649/72057594037927936) (+.f64 (*.f64 y z) x) (if (<=.f64 z 74000000000000000536391090101357039330167639163477754556448768) (*.f64 z (neg.f64 x)) (if (<=.f64 z 179999999999999997648281638178779207318720911535092107337157879673059220183671898267847846359099111468245780364736977809266578001366089728) (*.f64 z y) (*.f64 z (neg.f64 x)))))))
(if (<=.f64 z -1499999999999999984639126153007614336162066333696) (*.f64 z y) (if (<=.f64 z -239755468255242420224) (*.f64 z (neg.f64 x)) (if (<=.f64 z -4235765071715955/9903520314283042199192993792) (*.f64 z y) (if (<=.f64 z -1551496729776379/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) x (if (<=.f64 z -1517385698851569/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (*.f64 z y) (if (<=.f64 z 8261267640970339/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) x (if (<=.f64 z 4381604795660649/72057594037927936) (*.f64 z y) (if (<=.f64 z 74000000000000000536391090101357039330167639163477754556448768) (*.f64 z (neg.f64 x)) (if (<=.f64 z 179999999999999997648281638178779207318720911535092107337157879673059220183671898267847846359099111468245780364736977809266578001366089728) (*.f64 z y) (*.f64 z (neg.f64 x)))))))))))
(if (<=.f64 x -8461291588576403/4835703278458516698824704) x (if (<=.f64 x 2172803028289463/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (*.f64 z y) x))
x
Outputs
(fma.f64 (-.f64 y x) z x)
(+.f64 (*.f64 y z) (-.f64 x (*.f64 z x)))
(+.f64 (-.f64 x (*.f64 x z)) (*.f64 y z))
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 z -1476857239204441/4398046511104) (-.f64 (*.f64 z y) (*.f64 z x)) (if (<=.f64 z 3421810108363847/1152921504606846976) (+.f64 (*.f64 y z) x) (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -1476857239204441/4398046511104) (-.f64 (*.f64 y z) (*.f64 x z)) (if (<=.f64 z 3421810108363847/1152921504606846976) (+.f64 x (*.f64 y z)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -1476857239204441/4398046511104) (*.f64 (-.f64 y x) z) (if (<=.f64 z 3421810108363847/1152921504606846976) (+.f64 (*.f64 y z) x) (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -1476857239204441/4398046511104) (*.f64 (-.f64 y x) z) (if (<=.f64 z 3421810108363847/1152921504606846976) (+.f64 x (*.f64 y z)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 y -1878750670365793/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (+.f64 (*.f64 y z) x) (if (<=.f64 y 1155223964348205/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (*.f64 (-.f64 1 z) x) (+.f64 (*.f64 y z) x)))
(if (<=.f64 y -1878750670365793/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (+.f64 x (*.f64 y z)) (if (<=.f64 y 1155223964348205/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (*.f64 x (-.f64 1 z)) (+.f64 x (*.f64 y z))))
(if (<=.f64 z -219999999999999995638546337394828531480920064) (+.f64 (*.f64 y z) x) (if (<=.f64 z -185000000000000006291456) (*.f64 z (neg.f64 x)) (if (<=.f64 z 4381604795660649/72057594037927936) (+.f64 (*.f64 y z) x) (if (<=.f64 z 74000000000000000536391090101357039330167639163477754556448768) (*.f64 z (neg.f64 x)) (if (<=.f64 z 179999999999999997648281638178779207318720911535092107337157879673059220183671898267847846359099111468245780364736977809266578001366089728) (*.f64 z y) (*.f64 z (neg.f64 x)))))))
(if (<=.f64 z -219999999999999995638546337394828531480920064) (+.f64 x (*.f64 y z)) (if (<=.f64 z -185000000000000006291456) (*.f64 z (neg.f64 x)) (if (<=.f64 z 4381604795660649/72057594037927936) (+.f64 x (*.f64 y z)) (if (<=.f64 z 74000000000000000536391090101357039330167639163477754556448768) (*.f64 z (neg.f64 x)) (if (<=.f64 z 179999999999999997648281638178779207318720911535092107337157879673059220183671898267847846359099111468245780364736977809266578001366089728) (*.f64 y z) (*.f64 z (neg.f64 x)))))))
(if (<=.f64 z -1499999999999999984639126153007614336162066333696) (*.f64 z y) (if (<=.f64 z -239755468255242420224) (*.f64 z (neg.f64 x)) (if (<=.f64 z -4235765071715955/9903520314283042199192993792) (*.f64 z y) (if (<=.f64 z -1551496729776379/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) x (if (<=.f64 z -1517385698851569/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (*.f64 z y) (if (<=.f64 z 8261267640970339/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) x (if (<=.f64 z 4381604795660649/72057594037927936) (*.f64 z y) (if (<=.f64 z 74000000000000000536391090101357039330167639163477754556448768) (*.f64 z (neg.f64 x)) (if (<=.f64 z 179999999999999997648281638178779207318720911535092107337157879673059220183671898267847846359099111468245780364736977809266578001366089728) (*.f64 z y) (*.f64 z (neg.f64 x)))))))))))
(if (<=.f64 z -1499999999999999984639126153007614336162066333696) (*.f64 y z) (if (<=.f64 z -239755468255242420224) (*.f64 z (neg.f64 x)) (if (<=.f64 z -4235765071715955/9903520314283042199192993792) (*.f64 y z) (if (<=.f64 z -1551496729776379/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) x (if (<=.f64 z -1517385698851569/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (*.f64 y z) (if (<=.f64 z 8261267640970339/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) x (if (<=.f64 z 4381604795660649/72057594037927936) (*.f64 y z) (if (<=.f64 z 74000000000000000536391090101357039330167639163477754556448768) (*.f64 z (neg.f64 x)) (if (<=.f64 z 179999999999999997648281638178779207318720911535092107337157879673059220183671898267847846359099111468245780364736977809266578001366089728) (*.f64 y z) (*.f64 z (neg.f64 x)))))))))))
(if (<=.f64 x -8461291588576403/4835703278458516698824704) x (if (<=.f64 x 2172803028289463/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (*.f64 z y) x))
(if (<=.f64 x -8461291588576403/4835703278458516698824704) x (if (<=.f64 x 2172803028289463/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (*.f64 y z) x))
x
Compiler

Compiled 247 to 128 computations (48.2% saved)

soundness64.0ms (1%)

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)

end94.0ms (1.5%)

Compiler

Compiled 220 to 84 computations (61.8% saved)

Profiling

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