Details

Time bar (total: 1.8s)

analyze657.0ms (36.4%)

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
28.1%71.8%0.1%9
37.4%56.9%5.6%10
43.7%50.3%6%11
51.9%42.1%6%12
58.7%32.4%8.9%13
62.9%27.9%9.2%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample868.0ms (48.1%)

Results
820.0ms8256×body128valid
36.0ms332×body128invalid

preprocess28.0ms (1.5%)

Algorithm
egg-herbie
Rules
162×fma-def_binary64
153×fma-neg_binary64
48×cancel-sign-sub-inv_binary64
31×sub-neg_binary64
27×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
13328
26028
310528
415428
528528
646928
762028
872228
974328
1074628
033
133
Stop Event
unsound
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
1
Call 2
Inputs
(-.f64 x (*.f64 y z))
(-.f64 y (*.f64 x z))
(-.f64 z (*.f64 y x))
(-.f64 x (*.f64 z y))
Outputs
(-.f64 x (*.f64 y z))
(-.f64 y (*.f64 x z))
(fma.f64 x (neg.f64 z) y)
(-.f64 z (*.f64 y x))
(-.f64 z (*.f64 x y))
(fma.f64 y (neg.f64 x) z)
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
Symmetry

(sort y z)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify14.0ms (0.8%)

Algorithm
egg-herbie
Rules
100×fma-def_binary64
56×fma-neg_binary64
29×cancel-sign-sub-inv_binary64
18×sub-neg_binary64
13×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2247
3417
4607
5947
61497
71997
82637
93377
103877
113937
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
Outputs
(-.f64 x (*.f64 y z))

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y z))
Compiler

Compiled 16 to 10 computations (37.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

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

rewrite46.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
738×pow1_binary64
684×add-log-exp_binary64
684×log1p-expm1-u_binary64
684×expm1-log1p-u_binary64
72×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11327
218577
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 z (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2)) (cbrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))))) (#(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 /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y))) (*.f64 x (*.f64 z (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 y z)) 1)))) (#(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 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 sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.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 cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 y)))))))

simplify25.0ms (1.4%)

Algorithm
egg-herbie
Rules
101×fma-def_binary64
56×fma-neg_binary64
27×cancel-sign-sub-inv_binary64
17×sub-neg_binary64
13×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08250
115223
231223
344223
456223
587223
6147223
7195223
8252223
9339223
10389223
11395223
Stop Event
saturated
Counts
74 → 43
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
Outputs
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))

eval8.0ms (0.5%)

Compiler

Compiled 521 to 157 computations (69.9% saved)

prune11.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New41243
Fresh000
Picked101
Done000
Total42244
Error
0.0b
Counts
44 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
31.6b
(*.f64 z (neg.f64 y))
Compiler

Compiled 46 to 26 computations (43.5% saved)

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 y z))
52.9b
(fma.f64 (neg.f64 y) z (*.f64 y z))

series5.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

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

rewrite33.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
493×pow1_binary64
452×add-log-exp_binary64
451×log1p-expm1-u_binary64
451×expm1-log1p-u_binary64
442×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0610
11227
215367
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) z (*.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (+.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (+.f64 y y))) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y y)) 2)) (cbrt.f64 (*.f64 z (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (+.f64 y y))) (sqrt.f64 (*.f64 z (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2)) (-.f64 (*.f64 y z) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (+.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (+.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (+.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 z (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (+.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (+.f64 y y))))))))

simplify11.0ms (0.6%)

Algorithm
egg-herbie
Rules
30×fma-def_binary64
12×distribute-rgt-in_binary64
11×associate-*r*_binary64
10×distribute-lft-in_binary64
10×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012168
13924
211424
313624
417024
518224
621424
Stop Event
saturated
Counts
44 → 25
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) z) y))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) z) y))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) z) y))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) z) y))
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 -1 (*.f64 z (+.f64 y (*.f64 -1 y))))
(*.f64 -1 (*.f64 z (+.f64 y (*.f64 -1 y))))
(*.f64 -1 (*.f64 z (+.f64 y (*.f64 -1 y))))
(*.f64 -1 (*.f64 z (+.f64 y (*.f64 -1 y))))
Outputs
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (*.f64 0 z) y)
0
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (*.f64 0 z) y)
0
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (*.f64 0 z) y)
0
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (*.f64 0 z) y)
0
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (*.f64 0 z) y)
0
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (*.f64 0 z) y)
0
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (*.f64 0 z) y)
0
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (*.f64 0 z) y)
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) z) y))
(*.f64 (*.f64 0 z) y)
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) z) y))
(*.f64 (*.f64 0 z) y)
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) z) y))
(*.f64 (*.f64 0 z) y)
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) z) y))
(*.f64 (*.f64 0 z) y)
0
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 (*.f64 0 z) y)
0
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 (*.f64 0 z) y)
0
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 (*.f64 0 z) y)
0
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 (*.f64 0 z) y)
0
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 (*.f64 0 z) y)
0
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 (*.f64 0 z) y)
0
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 (*.f64 0 z) y)
0
(*.f64 z (+.f64 y (*.f64 -1 y)))
(*.f64 (*.f64 0 z) y)
0
(*.f64 -1 (*.f64 z (+.f64 y (*.f64 -1 y))))
(*.f64 (*.f64 0 z) y)
0
(*.f64 -1 (*.f64 z (+.f64 y (*.f64 -1 y))))
(*.f64 (*.f64 0 z) y)
0
(*.f64 -1 (*.f64 z (+.f64 y (*.f64 -1 y))))
(*.f64 (*.f64 0 z) y)
0
(*.f64 -1 (*.f64 z (+.f64 y (*.f64 -1 y))))
(*.f64 (*.f64 0 z) y)
0

eval15.0ms (0.8%)

Compiler

Compiled 1250 to 312 computations (75% saved)

prune19.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New68068
Fresh011
Picked011
Done000
Total68270
Error
0.0b
Counts
70 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
31.6b
(*.f64 z (neg.f64 y))
Compiler

Compiled 30 to 18 computations (40% saved)

localize4.0ms (0.2%)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0.0b
Counts
2 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
31.6b
(*.f64 z (neg.f64 y))
Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes19.0ms (1.1%)

Accuracy

Total -31.6b remaining (-269704.7%)

Threshold costs -31.6b (-269704.7%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
Outputs
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
Results
TimeErrorSegmentsBranch
4.0ms0.0b1x
4.0ms0.0b1y
4.0ms0.0b1z
4.0ms0.0b1(-.f64 x (*.f64 y z))
3.0ms0.0b1(*.f64 y z)
Compiler

Compiled 51 to 27 computations (47.1% saved)

simplify5.0ms (0.3%)

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
0919
11919
22919
33419
43719
53819
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
Outputs
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))

end16.0ms (0.9%)

Stop Event
done
Remove

(sort y z)

Compiler

Compiled 64 to 32 computations (50% saved)

Profiling

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