Details

Time bar (total: 2.4s)

analyze551.0ms (23.2%)

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
28.1%71.8%0.1%9
34.3%59.3%6.4%10
40.6%51.3%8.1%11
48%43.2%8.8%12
53.2%33.9%12.8%13
57.4%28.4%14.2%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample998.0ms (42%)

Results
917.0ms8256×body128valid
67.0ms727×body128invalid

preprocess55.0ms (2.3%)

Algorithm
2×egg-herbie
Rules
869×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
317632
431732
565632
6127232
7202132
8274732
9291032
10293832
11293832
033
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
(+.f64 y (*.f64 (-.f64 x y) z))
(+.f64 z (*.f64 (-.f64 y z) x))
(+.f64 x (*.f64 (-.f64 z x) y))
Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z x)
(+.f64 y (*.f64 (-.f64 x y) z))
(+.f64 y (*.f64 z (-.f64 x y)))
(fma.f64 z (-.f64 x y) y)
(+.f64 z (*.f64 (-.f64 y z) x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 x (*.f64 (-.f64 z x) y))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
Compiler

Compiled 10 to 6 computations (40% saved)

simplify18.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
276×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
88758
911168
1012168
1112238
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z 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 (-.f64 y x) z 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 (-.f64 y x) z x)

series5.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

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

rewrite42.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
736×pow1_binary64
682×add-log-exp_binary64
682×log1p-expm1-u_binary64
682×expm1-log1p-u_binary64
71×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11308
217878
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 (-.f64 y x) z x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 y x) z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 2)) (cbrt.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) (sqrt.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) z) (*.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) z) (*.f64 (-.f64 y x) z)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) z x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x)))))))

simplify34.0ms (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
022375
156264
2108264
3213264
4373264
5675264
61048264
71287264
81406264
91408264
Stop Event
1×saturated
Counts
58 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
x
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(*.f64 (-.f64 y x) z)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
Outputs
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 z x) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(fma.f64 -1 (*.f64 z x) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(fma.f64 -1 (*.f64 z x) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
x
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 y z (fma.f64 -1 (*.f64 z x) x))
(fma.f64 z (-.f64 y x) x)

eval8.0ms (0.3%)

Compiler

Compiled 337 to 105 computations (68.8% saved)

prune22.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh000
Picked011
Done000
Total34236
Error
0b
Counts
36 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
✓0.0b
(fma.f64 (-.f64 y x) z x)
Compiler

Compiled 37 to 23 computations (37.8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.3%)

Counts
2 → 42
Calls

15 calls:

TimeVariablePointExpression
1.0ms
z
@0
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
1.0ms
z
@inf
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
1.0ms
y
@0
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
1.0ms
x
@inf
(+.f64 (*.f64 -1 (*.f64 z x)) x)
0.0ms
x
@0
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))

rewrite57.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
684×fma-def_binary64
349×fma-neg_binary64
185×expm1-udef_binary64
185×log1p-udef_binary64
115×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01020
122018
2323414
Stop Event
1×node limit
Counts
2 → 173
Calls
Call 1
Inputs
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
Outputs
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x) -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z x) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 (pow.f64 (*.f64 z x) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2)) (cbrt.f64 (*.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2)) (neg.f64 (cbrt.f64 (*.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (neg.f64 (sqrt.f64 (*.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 x) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2))) (cbrt.f64 (*.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (*.f64 z x) 2))) (cbrt.f64 (*.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 x)) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z x x)))))))

simplify30.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
027344
178289
2163289
3305289
4634289
51048289
61208289
71222289
Stop Event
1×saturated
Counts
215 → 189
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 y z)
(*.f64 y z)
x
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(*.f64 z (+.f64 y (*.f64 -1 x)))
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
x
(*.f64 -1 (*.f64 z x))
(*.f64 -1 (*.f64 z x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
Outputs
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
x
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1 x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x))) x)
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 z 1) x)))
(fma.f64 z (+.f64 y (neg.f64 x)) x)
(fma.f64 z (-.f64 y x) x)
x
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(neg.f64 (*.f64 z x))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(neg.f64 (*.f64 z x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))
(*.f64 -1 (*.f64 (-.f64 z 1) x))
(fma.f64 -1 (*.f64 z x) x)
(-.f64 x (*.f64 z x))

eval36.0ms (1.5%)

Compiler

Compiled 2559 to 742 computations (71% saved)

prune463.0ms (19.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1890189
Fresh000
Picked011
Done011
Total1892191
Error
0b
Counts
191 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
✓0.0b
(fma.f64 (-.f64 y x) z x)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes17.0ms (0.7%)

Accuracy

Total -0.0b remaining (-300%)

Threshold costs -0.0b (-300%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
Outputs
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
Results
TimeErrorSegmentsBranch
3.0ms0.0b1x
3.0ms0.0b1y
6.0ms0.0b1z
4.0ms0.0b1(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 49 to 28 computations (42.9% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×+-commutative_binary64
5×*-commutative_binary64
3×sub-neg_binary64
3×neg-sub0_binary64
2×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01015
11613
22513
33013
43513
53713
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
Outputs
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 (*.f64 y z) (+.f64 x (neg.f64 (*.f64 z x))))
(+.f64 (*.f64 y z) (-.f64 x (*.f64 z x)))

end15.0ms (0.6%)

Stop Event
1×done
Compiler

Compiled 24 to 14 computations (41.7% saved)

Profiling

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