Details

Time bar (total: 2.1s)

analyze637.0ms (31%)

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%72.5%2.5%9
34.3%59.3%6.4%10
40.6%51.3%8.1%11
46.8%43%10.2%12
53.2%33.9%12.8%13
57.4%28.4%14.2%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample958.0ms (46.7%)

Results
873.0ms8256×body128valid
72.0ms721×body128invalid

preprocess51.0ms (2.5%)

Algorithm
2×egg-herbie
Rules
859×fma-neg_binary64
384×fma-def_binary64
156×unsub-neg_binary64
145×distribute-rgt-in_binary64
108×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13132
27332
317932
432032
566432
6127832
7202532
8275132
9291432
10294232
11294232
033
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(+.f64 y (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 y (-.f64 x z)))
(+.f64 x (*.f64 z (-.f64 y x)))
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 z (*.f64 y (-.f64 x z)))
(fma.f64 y (-.f64 x z) z)
(+.f64 x (*.f64 z (-.f64 y x)))
(fma.f64 z (-.f64 y x) x)
Compiler

Compiled 10 to 6 computations (40% saved)

simplify18.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
272×fma-def_binary64
251×fma-neg_binary64
71×cancel-sign-sub-inv_binary64
55×distribute-rgt-in_binary64
42×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
1118
2248
3528
41008
51718
62818
74818
88718
911118
1012118
1112188
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)

eval0.0ms (0%)

Compiler

Compiled 16 to 7 computations (56.3% saved)

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
Click to see full alt table
StatusErrorProgram
▶0.0b
(fma.f64 y (-.f64 z x) x)
Compiler

Compiled 18 to 10 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

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

rewrite36.0ms (1.8%)

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 y (-.f64 z x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 z x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 2)) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (-.f64 z x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x))) (*.f64 x x)) (-.f64 (*.f64 y (-.f64 z x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 z x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))))))

simplify30.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
023267
155264
2108264
3209264
4369264
5671264
61038264
71277264
81396264
91398264
Stop Event
1×saturated
Counts
58 → 33
Calls
Call 1
Inputs
x
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (-.f64 y 1) x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
Outputs
x
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(fma.f64 -1 (*.f64 x y) x)
(*.f64 x (-.f64 1 y))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y (-.f64 z x) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(fma.f64 -1 (*.f64 x y) x)
(*.f64 x (-.f64 1 y))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y (-.f64 z x) x)
(*.f64 -1 (*.f64 (-.f64 y 1) x))
(fma.f64 -1 (*.f64 x y) x)
(*.f64 x (-.f64 1 y))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(fma.f64 y (-.f64 z x) x)

eval5.0ms (0.2%)

Compiler

Compiled 329 to 104 computations (68.4% saved)

prune20.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New32133
Fresh000
Picked011
Done000
Total32234
Error
0.0b
Counts
34 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
✓0.0b
(fma.f64 y (-.f64 z x) x)
Compiler

Compiled 37 to 25 computations (32.4% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
✓0.1b
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))

series8.0ms (0.4%)

Counts
2 → 30
Calls

15 calls:

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

rewrite49.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
494×log-prod_binary64
438×fma-def_binary64
217×fma-neg_binary64
180×expm1-udef_binary64
180×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01122
122718
2309714
Stop Event
1×node limit
Counts
2 → 101
Calls
Call 1
Inputs
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z y (fma.f64 y x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z y) 2) (-.f64 (*.f64 z y) (fma.f64 y x x))) (/.f64 (pow.f64 (fma.f64 y x x) 2) (-.f64 (*.f64 z y) (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z y (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z y (fma.f64 y x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z y (fma.f64 y x x))) (pow.f64 (cbrt.f64 (fma.f64 z y (fma.f64 y x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z y (fma.f64 y x x))) 2) (cbrt.f64 (fma.f64 z y (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z y (fma.f64 y x x))) (sqrt.f64 (fma.f64 z y (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (fma.f64 y x x) 3)) (/.f64 1 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 z y)) (pow.f64 (*.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (fma.f64 y x x) 2)) (/.f64 1 (-.f64 (*.f64 z y) (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 z y)) (pow.f64 (*.f64 z y) 2)) (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (fma.f64 y x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 z y) (fma.f64 y x x)) (-.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (fma.f64 y x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (fma.f64 y x x) 3)) (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 z y)) (pow.f64 (*.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (fma.f64 y x x) 3)) (+.f64 (pow.f64 (fma.f64 y x x) 2) (-.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z y) (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (fma.f64 y x x) 2)) (-.f64 (*.f64 z y) (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (fma.f64 y x x) 3))) (neg.f64 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 z y)) (pow.f64 (*.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (fma.f64 y x x) 2))) (neg.f64 (-.f64 (*.f64 z y) (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x x) 2) (pow.f64 (*.f64 z y) 2)) (-.f64 (fma.f64 y x x) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z y (fma.f64 y x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z y (fma.f64 y x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z y (fma.f64 y x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z y (fma.f64 y x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z y (fma.f64 y x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z y (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z y (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z y))) (exp.f64 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) y) (+.f64 1 (expm1.f64 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z y))) (+.f64 1 (expm1.f64 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y x x))) (pow.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 y x x)) (+.f64 1 (expm1.f64 (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y x x))) (+.f64 1 (expm1.f64 (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z y (fma.f64 y x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z y (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z y (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z y (fma.f64 y x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z y) 1 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y x x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 y) x (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 1 y) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y x x) 1 (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2) (*.f64 (cbrt.f64 (+.f64 1 y)) x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 1 y)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (cbrt.f64 (fma.f64 y x x)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (cbrt.f64 (*.f64 z y)) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 y)) (*.f64 (hypot.f64 1 (sqrt.f64 y)) x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 1 y)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (cbrt.f64 (+.f64 1 y)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 y))) (hypot.f64 1 (sqrt.f64 y)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z y (fma.f64 y x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y x x))) (cbrt.f64 (exp.f64 (fma.f64 y x x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 y y)) x) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x x)))))))

simplify27.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
328×fma-def_binary64
253×fma-neg_binary64
49×cancel-sign-sub-inv_binary64
47×unsub-neg_binary64
37×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023231
162196
2126196
3260196
4522196
5873196
61138196
71205196
81207196
Stop Event
1×saturated
Counts
131 → 115
Calls
Call 1
Inputs
x
(+.f64 (*.f64 y (+.f64 (*.f64 -1 x) z)) x)
(+.f64 (*.f64 y (+.f64 (*.f64 -1 x) z)) x)
(+.f64 (*.f64 y (+.f64 (*.f64 -1 x) z)) x)
(*.f64 y (+.f64 (*.f64 -1 x) z))
(+.f64 (*.f64 y (+.f64 (*.f64 -1 x) z)) x)
(+.f64 (*.f64 y (+.f64 (*.f64 -1 x) z)) x)
(+.f64 (*.f64 y (+.f64 (*.f64 -1 x) z)) x)
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) x))) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) x))) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) x))) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
x
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 -1 (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
Outputs
x
(+.f64 (*.f64 y (+.f64 (*.f64 -1 x) z)) x)
(fma.f64 y (fma.f64 -1 x z) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (+.f64 (*.f64 -1 x) z)) x)
(fma.f64 y (fma.f64 -1 x z) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (+.f64 (*.f64 -1 x) z)) x)
(fma.f64 y (fma.f64 -1 x z) x)
(fma.f64 y (-.f64 z x) x)
(*.f64 y (+.f64 (*.f64 -1 x) z))
(*.f64 y (fma.f64 -1 x z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y (+.f64 (*.f64 -1 x) z)) x)
(fma.f64 y (fma.f64 -1 x z) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (+.f64 (*.f64 -1 x) z)) x)
(fma.f64 y (fma.f64 -1 x z) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (+.f64 (*.f64 -1 x) z)) x)
(fma.f64 y (fma.f64 -1 x z) x)
(fma.f64 y (-.f64 z x) x)
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) x)))
(*.f64 y (fma.f64 -1 x z))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) x))) x)
(fma.f64 y (fma.f64 -1 x z) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) x))) x)
(fma.f64 y (fma.f64 -1 x z) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) x))) x)
(fma.f64 y (fma.f64 -1 x z) x)
(fma.f64 y (-.f64 z x) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 x y))
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 x y))
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 x y))
x
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 x y))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 x y))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 x y))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 x y))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 x y))

eval22.0ms (1.1%)

Compiler

Compiled 1492 to 482 computations (67.7% saved)

prune143.0ms (7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh000
Picked011
Done011
Total1152117
Error
0.0b
Counts
117 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
✓0.0b
(fma.f64 y (-.f64 z x) x)
Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes15.0ms (0.7%)

Accuracy

Total -0.1b remaining (-531%)

Threshold costs -0.1b (-531%)

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

Compiled 49 to 29 computations (40.8% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

end14.0ms (0.7%)

Stop Event
1×done
Compiler

Compiled 18 to 10 computations (44.4% saved)

Profiling

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