Details

Time bar (total: 1.8s)

analyze625.0ms (35.6%)

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)

sample909.0ms (51.7%)

Results
809.0ms8256×body128valid
87.0ms858×body128invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess56.0ms (3.2%)

Algorithm
egg-herbie
Rules
768×fma-neg_binary64
441×fma-def_binary64
168×cancel-sign-sub-inv_binary64
131×distribute-rgt-in_binary64
113×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02044
14344
28744
315144
433736
568032
6113132
7184732
8246132
9275932
10283432
11283532
12283532
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 1 x) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 1 y) z))
(+.f64 (*.f64 z y) (*.f64 (-.f64 1 z) x))
(+.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(fma.f64 x y (*.f64 (-.f64 1 x) z))
(-.f64 (fma.f64 x y z) (*.f64 x z))
(fma.f64 x (fma.f64 z -1 y) z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 1 y) z))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 x y))
(fma.f64 x y (*.f64 z (-.f64 1 y)))
(-.f64 (fma.f64 x y z) (*.f64 y z))
(fma.f64 y (fma.f64 z -1 x) z)
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 z y) (*.f64 (-.f64 1 z) x))
(fma.f64 z y (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) (*.f64 y z))
(fma.f64 z (fma.f64 x -1 y) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y))
(fma.f64 x z (*.f64 y (-.f64 1 x)))
(fma.f64 x z (-.f64 y (*.f64 x y)))
(fma.f64 x (fma.f64 y -1 z) y)
(fma.f64 x (-.f64 z y) y)
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify20.0ms (1.1%)

Algorithm
egg-herbie
Rules
354×fma-def_binary64
246×fma-neg_binary64
51×cancel-sign-sub-inv_binary64
45×distribute-rgt-in_binary64
42×associate--r+_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0911
11711
23011
35711
41269
52188
63468
75578
89678
911468
1012068
1112168
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(fma.f64 x y (*.f64 (-.f64 1 x) z))
(fma.f64 (-.f64 1 x) z (*.f64 x y))
(fma.f64 x (fma.f64 z -1 y) z)
(fma.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
(fma.f64 x (-.f64 y z) z)
Compiler

Compiled 36 to 20 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts
1 → 36
Calls

9 calls:

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

rewrite40.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
740×pow1_binary64
686×add-log-exp_binary64
686×log1p-expm1-u_binary64
686×expm1-log1p-u_binary64
71×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11308
217938
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 x (-.f64 y z) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 x (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 y z)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 y z)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 y z) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 y z) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) 2)) (cbrt.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) (sqrt.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (-.f64 y z))) (-.f64 (*.f64 z z) (*.f64 (*.f64 x (-.f64 y z)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 y z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 y z) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 y z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z)))))))

simplify28.0ms (1.6%)

Algorithm
egg-herbie
Rules
249×fma-neg_binary64
240×fma-def_binary64
57×distribute-rgt-in_binary64
40×associate--r+_binary64
35×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021345
154318
2115318
3247264
4506264
5894264
61092264
71124264
81125264
Stop Event
saturated
Counts
58 → 32
Calls
Call 1
Inputs
z
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(*.f64 (-.f64 y z) x)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(*.f64 -1 (*.f64 (-.f64 z y) x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 z (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(*.f64 (-.f64 1 x) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(*.f64 -1 (*.f64 (-.f64 x 1) z))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
Outputs
z
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 (-.f64 y z) x)
(*.f64 x (-.f64 y z))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 -1 (*.f64 (-.f64 z y) x))
(*.f64 x (-.f64 y z))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 z (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 (-.f64 1 x) z)
(-.f64 z (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 -1 (*.f64 (-.f64 x 1) z))
(-.f64 z (*.f64 z x))
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(-.f64 (+.f64 (*.f64 y x) z) (*.f64 z x))
(-.f64 (fma.f64 y x z) (*.f64 z x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)

prune13.0ms (0.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New32032
Fresh000
Picked011
Done000
Total32133
Error
0.0b
Counts
33 → 1
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x (-.f64 y z) z)
Compiler

Compiled 317 to 93 computations (70.7% saved)

regimes25.0ms (1.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
8 → 1
Compiler

Compiled 66 to 35 computations (47% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
068
188
2138
3158
4168
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 y z) z)
Outputs
(fma.f64 x (-.f64 y z) z)

end28.0ms (1.6%)

Stop Event
done
Compiler

Compiled 27 to 15 computations (44.4% saved)

Profiling

Loading profile data...