Details

Time bar (total: 2.4s)

analyze743.0ms (31.1%)

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
53.2%35.7%11.1%13
58%29.1%12.9%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample992.0ms (41.6%)

Results
888.0ms8256×body128valid
91.0ms877×body128invalid

preprocess58.0ms (2.4%)

Algorithm
2×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
1×saturated
1×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)

simplify19.0ms (0.8%)

Algorithm
1×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
1×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)

eval1.0ms (0%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

prune10.0ms (0.4%)

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

Compiled 42 to 26 computations (38.1% 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 (0.2%)

Counts
1 → 36
Calls

9 calls:

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

rewrite36.0ms (1.5%)

Algorithm
1×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
1×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)))))))

simplify30.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
400×fma-def_binary64
300×fma-neg_binary64
64×cancel-sign-sub-inv_binary64
59×distribute-rgt-in_binary64
42×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023267
156264
2109264
3188264
4347264
5648264
61030264
71269264
81388264
91390264
Stop Event
1×saturated
Counts
58 → 34
Calls
Call 1
Inputs
z
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(*.f64 y x)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(*.f64 y x)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(*.f64 y x)
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x))
(*.f64 (+.f64 1 (*.f64 -1 x)) z)
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x))
(*.f64 -1 (*.f64 (-.f64 x 1) z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z)))
Outputs
z
(+.f64 (*.f64 (-.f64 y z) x) z)
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(fma.f64 (-.f64 y z) x z)
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 (-.f64 y z) x) z)
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(fma.f64 (-.f64 y z) x z)
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 (-.f64 y z) x) z)
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(fma.f64 -1 (*.f64 z x) z)
(-.f64 z (*.f64 z x))
(fma.f64 x (neg.f64 z) z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(fma.f64 (-.f64 y z) x z)
(*.f64 y x)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(fma.f64 (-.f64 y z) x z)
(*.f64 y x)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x))))
(fma.f64 (-.f64 y z) x z)
(*.f64 y x)
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x))
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x))
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x))
(fma.f64 (-.f64 y z) x z)
(*.f64 (+.f64 1 (*.f64 -1 x)) z)
(fma.f64 -1 (*.f64 z x) z)
(-.f64 z (*.f64 z x))
(fma.f64 x (neg.f64 z) z)
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x))
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x))
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x))
(fma.f64 (-.f64 y z) x z)
(*.f64 -1 (*.f64 (-.f64 x 1) z))
(fma.f64 -1 (*.f64 z x) z)
(-.f64 z (*.f64 z x))
(fma.f64 x (neg.f64 z) z)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z)))
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z)))
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z)))
(fma.f64 (-.f64 y z) x z)

eval5.0ms (0.2%)

Compiler

Compiled 336 to 106 computations (68.5% saved)

prune25.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New33134
Fresh011
Picked011
Done000
Total33336
Error
0b
Counts
36 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(fma.f64 x (-.f64 y z) z)
40.3b
(/.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))))
▶0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Compiler

Compiled 109 to 53 computations (51.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series8.0ms (0.3%)

Counts
2 → 60
Calls

15 calls:

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

rewrite49.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
476×log-prod_binary64
382×fma-def_binary64
174×expm1-udef_binary64
173×log1p-udef_binary64
172×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119218
2261718
Stop Event
1×node limit
Counts
2 → 99
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(*.f64 (-.f64 1 x) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2) (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (-.f64 1 x) z) 2)) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (-.f64 1 x) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3)) (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 1 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) z) (fma.f64 x (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) z) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) z)))))))

simplify36.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
345×fma-def_binary64
247×fma-neg_binary64
49×cancel-sign-sub-inv_binary64
45×unsub-neg_binary64
40×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023453
158424
2125424
3252424
4524424
5882424
61149424
71218424
81220424
Stop Event
1×saturated
Counts
159 → 114
Calls
Call 1
Inputs
z
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(*.f64 (+.f64 (*.f64 -1 z) y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(*.f64 z (-.f64 1 x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 z (-.f64 1 x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 z (-.f64 1 x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
z
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(*.f64 -1 (*.f64 z x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
Outputs
z
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 (+.f64 (*.f64 -1 z) y) x)
(*.f64 (fma.f64 -1 z y) x)
(*.f64 (-.f64 y z) x)
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y))))
(*.f64 (fma.f64 -1 z y) x)
(*.f64 (-.f64 y z) x)
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(fma.f64 x (-.f64 y z) z)
z
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))

eval46.0ms (1.9%)

Compiler

Compiled 1635 to 874 computations (46.5% saved)

prune162.0ms (6.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh101
Picked101
Done011
Total1152117
Error
0b
Counts
117 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(fma.f64 x (-.f64 y z) z)
▶0.0b
(fma.f64 z (-.f64 1 x) (*.f64 x y))
Compiler

Compiled 31 to 19 computations (38.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite39.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
822×pow1_binary64
758×log1p-expm1-u_binary64
758×expm1-log1p-u_binary64
83×add-sqr-sqrt_binary64
81×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
116211
2199511
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(fma.f64 z (-.f64 1 x) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 z (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (-.f64 1 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (-.f64 1 x)) 1) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (-.f64 1 x) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y))) 2) (cbrt.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y))) (sqrt.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 1 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (*.f64 z (-.f64 1 x)) (*.f64 z (-.f64 1 x))) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 z (-.f64 1 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (-.f64 1 x)) (*.f64 z (-.f64 1 x))) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 z (-.f64 1 x)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (-.f64 1 x) (*.f64 x y))))))))

simplify33.0ms (1.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
019347
150345
2125264
3228264
4474264
5838264
61134264
71237264
81240264
Stop Event
1×saturated
Counts
59 → 34
Calls
Call 1
Inputs
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 z (-.f64 1 x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 z (-.f64 1 x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
z
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(*.f64 (+.f64 (*.f64 -1 z) y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(*.f64 z (-.f64 1 x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
Outputs
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
z
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(*.f64 (+.f64 (*.f64 -1 z) y) x)
(*.f64 x (fma.f64 -1 z y))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y))))
(*.f64 x (fma.f64 -1 z y))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x (-.f64 y z) z)

eval8.0ms (0.3%)

Compiler

Compiled 393 to 210 computations (46.6% saved)

prune23.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New34034
Fresh000
Picked011
Done011
Total34236
Error
0b
Counts
36 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(fma.f64 x (-.f64 y z) z)
✓0.0b
(fma.f64 z (-.f64 1 x) (*.f64 x y))
Compiler

Compiled 20 to 12 computations (40% saved)

regimes21.0ms (0.9%)

Accuracy

Total -40.3b remaining (-344028%)

Threshold costs -40.3b (-344028%)

Counts
4 → 1
Calls
Call 1
Inputs
(fma.f64 z (-.f64 1 x) (*.f64 x y))
(/.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))))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Outputs
(fma.f64 z (-.f64 1 x) (*.f64 x y))
Results
TimeErrorSegmentsBranch
4.0ms0.0b1x
7.0ms0.0b1y
4.0ms0.0b1z
4.0ms0.0b1(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Compiler

Compiled 85 to 42 computations (50.6% saved)

simplify2.0ms (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 z (-.f64 1 x) (*.f64 x y))
Outputs
(fma.f64 z (-.f64 1 x) (*.f64 x y))

end16.0ms (0.7%)

Stop Event
1×done
Compiler

Compiled 22 to 14 computations (36.4% saved)

Profiling

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