Details

Time bar (total: 1.8s)

analyze567.0ms (31%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
25%72.2%2.9%9
34.3%60.3%5.4%10
41.3%51.6%7.1%11
46.8%44.2%9%12
53.2%35.8%11%13
58%29.1%12.9%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample938.0ms (51.2%)

Results
839.0ms8256×body128valid
83.0ms891×body128invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess55.0ms (3%)

Algorithm
egg-herbie
Rules
937×fma-neg_binary64
564×fma-def_binary64
322×cancel-sign-sub-inv_binary64
129×associate--r+_binary64
126×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02044
14244
27144
312440
419640
527740
642140
766540
8144240
9260440
10306840
11332340
12334040
13334040
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 y 1) z))
(+.f64 (*.f64 z y) (*.f64 (-.f64 z 1) x))
(+.f64 (*.f64 x z) (*.f64 (-.f64 x 1) y))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
(fma.f64 x y (*.f64 (+.f64 x -1) z))
(fma.f64 (+.f64 x -1) z (*.f64 x y))
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (*.f64 x (+.f64 y z)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 y 1) z))
(fma.f64 y x (*.f64 z (+.f64 y -1)))
(fma.f64 x y (*.f64 z (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x z)) z)
(+.f64 (*.f64 z y) (*.f64 (-.f64 z 1) x))
(fma.f64 z y (*.f64 x (+.f64 z -1)))
(fma.f64 x (+.f64 z -1) (*.f64 y z))
(-.f64 (*.f64 z (+.f64 y x)) x)
(-.f64 (*.f64 z (+.f64 x y)) x)
(fma.f64 z (+.f64 x y) (neg.f64 x))
(+.f64 (*.f64 x z) (*.f64 (-.f64 x 1) y))
(fma.f64 x z (*.f64 y (+.f64 x -1)))
(-.f64 (*.f64 x (+.f64 z y)) y)
(fma.f64 x (+.f64 y z) (neg.f64 y))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify23.0ms (1.3%)

Algorithm
egg-herbie
Rules
295×fma-neg_binary64
252×fma-def_binary64
95×cancel-sign-sub-inv_binary64
42×distribute-rgt-neg-in_binary64
41×associate--r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0911
11811
22811
34310
46210
58710
613710
722310
847510
984110
10112910
11121510
12122010
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
(fma.f64 x y (*.f64 (-.f64 x 1) z))
(fma.f64 x y (*.f64 (+.f64 x -1) z))
(-.f64 (*.f64 x (+.f64 y z)) z)

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(-.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 39 to 23 computations (41% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series9.0ms (0.5%)

Counts
2 → 72
Calls

18 calls:

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

rewrite56.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
455×fma-def_binary64
437×log-prod_binary64
227×fma-neg_binary64
158×expm1-udef_binary64
158×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116517
2256417
Stop Event
node limit
Counts
2 → 182
Calls
Call 1
Inputs
(*.f64 x (+.f64 y z))
(-.f64 (*.f64 x (+.f64 y z)) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x y) 1) (*.f64 (*.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x z) 3)) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 x y) (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x z) (*.f64 x z))) (-.f64 (*.f64 x y) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 y 3)) x) (fma.f64 y y (*.f64 z (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) x) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 z 3) (pow.f64 y 3))) (fma.f64 y y (*.f64 z (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 y z) (-.f64 y z))) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x z)) (exp.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) x) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 x y))))) (#(struct:change #<rule 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(log1p.f64 (*.f64 x (+.f64 y z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y z)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (+.f64 y z)) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (+.f64 y z)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (+.f64 y z)) z) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x (+.f64 y z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (+.f64 y z)) z))) (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (+.f64 y z)) z))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (+.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z (fma.f64 x (+.f64 y z) z) (pow.f64 (*.f64 x (+.f64 y z)) 2)) (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 y z) z) (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 x (+.f64 y z) z) (pow.f64 (*.f64 x (+.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) 2) (*.f64 z z)) (fma.f64 x (+.f64 y z) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 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egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 y z)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 x (+.f64 y z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (+.f64 y z)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y z)))) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 y z)) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y z)))) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y z)))) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 y z)) (/.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y z)))) (/.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (exp.f64 x) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 z)) (pow.f64 (exp.f64 x) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 z)) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 z)) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 y z)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x (+.f64 y z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x (+.f64 y z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 y z) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 y z) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y z) x (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y z) x (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 y z)) 1 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 y z)) 1 (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x (+.f64 y z)) z) 1 (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x (+.f64 y z)) z) 1 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x (+.f64 y z)) z) 1 (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 y z)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 y z)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (*.f64 x (+.f64 y z)) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (*.f64 x (+.f64 y z)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (*.f64 x (+.f64 y z)) z) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 z) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 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#<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 y z)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) 2) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) 2) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) 2) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) 2) (cbrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) 2) (cbrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) 2) (cbrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (neg.f64 (cbrt.f64 z)) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y z)) (*.f64 (sqrt.f64 (+.f64 y z)) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y z)) (*.f64 (sqrt.f64 (+.f64 y z)) x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y z)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y z)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule 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(cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (+.f64 y z) z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 z (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (cbrt.f64 (+.f64 y z)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (cbrt.f64 (+.f64 y z)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (*.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x (+.f64 y z)) z)))))))

simplify42.0ms (2.3%)

Algorithm
egg-herbie
Rules
306×fma-def_binary64
247×fma-neg_binary64
54×cancel-sign-sub-inv_binary64
45×associate-*r*_binary64
40×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019554
143554
282554
3158554
4309554
5602554
61054554
71285554
81303554
Stop Event
saturated
Counts
254 → 192
Calls
Call 1
Inputs
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 z x)
(+.f64 (*.f64 y x) (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 y x) (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 y x) (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z x))
(*.f64 -1 z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(*.f64 (+.f64 y z) x)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(*.f64 (+.f64 y z) x)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (*.f64 z x) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(*.f64 (-.f64 x 1) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(*.f64 -1 (*.f64 (-.f64 1 x) z))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
(-.f64 (+.f64 (*.f64 y x) (*.f64 z x)) z)
Outputs
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
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(fma.f64 (+.f64 y z) x (neg.f64 z))

prune70.0ms (3.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1911192
Fresh000
Picked101
Done000
Total1921193
Error
0b
Counts
193 → 1
Alt Table
StatusErrorProgram
0b
(fma.f64 (+.f64 y z) x (neg.f64 z))
Compiler

Compiled 2819 to 742 computations (73.7% saved)

localize5.0ms (0.3%)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Alt Table
StatusErrorProgram
0b
(fma.f64 (+.f64 y z) x (neg.f64 z))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes26.0ms (1.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
8 → 1
Compiler

Compiled 70 to 39 computations (44.3% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
21410
31510
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 y z) x (neg.f64 z))
Outputs
(fma.f64 (+.f64 y z) x (neg.f64 z))

end31.0ms (1.7%)

Stop Event
done
Compiler

Compiled 30 to 18 computations (40% saved)

Profiling

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