Details

Time bar (total: 2.3s)

analyze239.0ms (10.4%)

Algorithm
1×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%71.8%3.3%9
34.3%60.1%5.6%10
41.3%51.5%7.2%11
46.8%44.1%9.1%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (47.2%)

Results
921.0ms8253×body64valid
141.0ms1273×body64invalid
0.0ms3×body128valid

preprocess57.0ms (2.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02044
14444
28844
315244
433836
568132
6113032
7184932
8246332
9276132
10283632
11283732
12283732
033
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(+.f64 (*.f64 (-.f64 1 y) x) (*.f64 y z))
(+.f64 (*.f64 (-.f64 1 z) y) (*.f64 z x))
(+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y))
Outputs
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(fma.f64 (-.f64 1 x) y (*.f64 x z))
(fma.f64 x z (*.f64 (-.f64 1 x) y))
(-.f64 (fma.f64 x z y) (*.f64 x y))
(fma.f64 x (fma.f64 y -1 z) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 1 y) x) (*.f64 y z))
(fma.f64 (-.f64 1 y) x (*.f64 y z))
(fma.f64 y z (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) (*.f64 y z))
(-.f64 (fma.f64 y z x) (*.f64 x y))
(fma.f64 y (fma.f64 x -1 z) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 (-.f64 1 z) y) (*.f64 z x))
(fma.f64 (-.f64 1 z) y (*.f64 x z))
(fma.f64 x z (*.f64 y (-.f64 1 z)))
(fma.f64 z (fma.f64 y -1 x) y)
(fma.f64 z (-.f64 x y) y)
(+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y))
(fma.f64 (-.f64 1 x) z (*.f64 x y))
(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)
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify20.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
354×fma-def_binary64
246×fma-neg_binary64
53×cancel-sign-sub-inv_binary64
45×distribute-rgt-in_binary64
40×sub-neg_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0911
11711
23011
35711
41269
52188
63468
75578
89648
911468
1012068
1112168
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Outputs
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(fma.f64 (-.f64 1 x) y (*.f64 x z))
(fma.f64 x z (*.f64 (-.f64 1 x) y))
(-.f64 (fma.f64 x z y) (*.f64 x y))
(fma.f64 x (fma.f64 y -1 z) y)
(fma.f64 x (-.f64 z y) y)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
▶0.0b
(fma.f64 x (-.f64 z y) y)
Compiler

Compiled 60 to 36 computations (40% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.3%)

Counts
1 → 36
Calls

9 calls:

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

rewrite43.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
740×pow1_binary64
686×add-log-exp_binary64
686×log1p-expm1-u_binary64
686×expm1-log1p-u_binary64
670×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11308
217938
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 x (-.f64 z y) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 x (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 z y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 z y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (-.f64 z y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 z y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 z y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) 2) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) (sqrt.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (-.f64 (*.f64 y y) (*.f64 (*.f64 x (-.f64 z y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (-.f64 (*.f64 x (-.f64 z y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 z y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 z y) y)))))))

simplify29.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
430×fma-def_binary64
267×fma-neg_binary64
63×distribute-rgt-in_binary64
41×unsub-neg_binary64
40×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022270
160264
2116264
3230264
4401264
5767264
61140264
71369264
81379264
Stop Event
1×saturated
Counts
57 → 33
Calls
Call 1
Inputs
y
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(*.f64 z x)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(*.f64 z x)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
Outputs
y
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(*.f64 (-.f64 z y) x)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(*.f64 z x)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(*.f64 z x)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 z y) x y)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 (-.f64 z y) x y)
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x))))
(fma.f64 (-.f64 z y) x y)
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(fma.f64 (-.f64 z y) x y)
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1))))
(fma.f64 (-.f64 z y) x y)

prune28.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New33033
Fresh011
Picked011
Done000
Total33235
Error
0.0b
Counts
35 → 2
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
✓0.0b
(fma.f64 x (-.f64 z y) y)
Compiler

Compiled 359 to 122 computations (66% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.3%)

Counts
2 → 60
Calls

15 calls:

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

rewrite56.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
476×log-prod_binary64
411×prod-exp_binary64
382×fma-def_binary64
353×exp-prod_binary64
343×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119218
2261618
Stop Event
1×node limit
Counts
2 → 122
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
(*.f64 (-.f64 1 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))) (/.f64 (pow.f64 (*.f64 x z) 2) (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x z (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 2) (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) (sqrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)) (pow.f64 (*.f64 (-.f64 1 x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (pow.f64 (*.f64 x z) 2)) (/.f64 1 (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)) (pow.f64 (*.f64 (-.f64 1 x) y) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) (pow.f64 (*.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) (-.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (pow.f64 (*.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) (pow.f64 (*.f64 x z) 3)) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)) (pow.f64 (*.f64 (-.f64 1 x) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) (pow.f64 (*.f64 x z) 3)) (+.f64 (pow.f64 (*.f64 x z) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (*.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (pow.f64 (*.f64 x z) 2)) (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) (pow.f64 (*.f64 x z) 3))) (neg.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)) (pow.f64 (*.f64 (-.f64 1 x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (pow.f64 (*.f64 x z) 2))) (neg.f64 (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x z) 2) (pow.f64 (*.f64 (-.f64 1 x) y) 2)) (-.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 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simplify34.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
325×fma-def_binary64
259×fma-neg_binary64
68×cancel-sign-sub-inv_binary64
53×distribute-rgt-in_binary64
47×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022482
151424
2105424
3220424
4500424
5841424
61130424
71305424
81321424
Stop Event
1×saturated
Counts
182 → 136
Calls
Call 1
Inputs
y
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
Outputs
y
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(*.f64 (+.f64 z (neg.f64 y)) x)
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))
(*.f64 (+.f64 z (neg.f64 y)) x)
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))

prune312.0ms (13.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1351136
Fresh000
Picked101
Done011
Total1362138
Error
0b
Counts
138 → 2
Alt Table
StatusErrorProgram
▶0.0b
(fma.f64 x z (*.f64 (-.f64 1 x) y))
✓0.0b
(fma.f64 x (-.f64 z y) y)
Compiler

Compiled 1994 to 1092 computations (45.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite85.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
824×pow1_binary64
760×add-log-exp_binary64
760×log1p-expm1-u_binary64
760×expm1-log1p-u_binary64
744×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
116211
2199911
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 x z (*.f64 (-.f64 1 x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x z) 1) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x z (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 2) (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) (sqrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x z) 3) (pow.f64 (*.f64 (-.f64 1 x) y) 3)) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) (*.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 (-.f64 1 x) y) 2)) (-.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y))))))))

simplify29.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
329×fma-def_binary64
269×fma-neg_binary64
68×distribute-rgt-in_binary64
63×cancel-sign-sub-inv_binary64
49×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019322
143264
296264
3234264
4479264
5796264
61129264
71334264
81352264
Stop Event
1×saturated
Counts
57 → 32
Calls
Call 1
Inputs
y
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
Outputs
y
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 (+.f64 z (*.f64 -1 y)) x)
(*.f64 (+.f64 z (neg.f64 y)) x)
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y)
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))
(*.f64 (+.f64 z (neg.f64 y)) x)
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x)))
(fma.f64 (+.f64 z (neg.f64 y)) x y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)

prune192.0ms (8.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done011
Total82284
Error
0b
Counts
84 → 2
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 x z (*.f64 (-.f64 1 x) y))
✓0.0b
(fma.f64 x (-.f64 z y) y)
Compiler

Compiled 1011 to 561 computations (44.5% saved)

regimes35.0ms (1.5%)

Accuracy

Total -0.0b remaining (-700%)

Threshold costs -0.0b (-700%)

Counts
3 → 1
Calls
Call 1
Inputs
(fma.f64 x z (*.f64 (-.f64 1 x) y))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Outputs
(fma.f64 x z (*.f64 (-.f64 1 x) y))
Results
3.0ms0.0bx
4.0ms0.0by
23.0ms0.0bz
4.0ms0.0b(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Compiler

Compiled 50 to 31 computations (38% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11311
21711
31911
42011
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x z (*.f64 (-.f64 1 x) y))
Outputs
(fma.f64 x z (*.f64 (-.f64 1 x) y))

end14.0ms (0.6%)

Stop Event
1×done
Compiler

Compiled 22 to 14 computations (36.4% saved)

Profiling

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