Details

Time bar (total: 2.9s)

analyze255.0ms (9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
25%72.5%2.5%9
34.3%59.3%6.4%10
40.6%51.3%8.1%11
46.8%43.2%10%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.4s (48.8%)

Results
1.2s8256×body256valid
136.0ms1115×body256invalid

preprocess24.0ms (0.9%)

Algorithm
egg-herbie
Rules
188×fma-def_binary64
24×+-commutative_binary64
22×distribute-rgt-in_binary64
18×*-commutative_binary64
16×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
14232
213032
318132
420032
522632
625032
732232
839532
941432
1041832
033
Stop Event
saturated
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)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 y (*.f64 x (+.f64 z y)))
(+.f64 y (*.f64 x (+.f64 y z)))
(fma.f64 x (+.f64 y z) y)
(+.f64 z (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) z)
(+.f64 x (*.f64 z (+.f64 y x)))
(+.f64 x (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify10.0ms (0.4%)

Algorithm
egg-herbie
Rules
66×fma-def_binary64
+-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
1168
2358
3508
4598
5668
6728
7918
81078
91218
101398
111468
121478
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)

eval1.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 y (+.f64 x z) x)
0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

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

rewrite61.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
620×unpow-prod-down_binary64
444×fma-def_binary64
429×log-prod_binary64
348×pow-prod-down_binary64
234×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11638
225958
Stop Event
node limit
Counts
1 → 83
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 x z)))) (/.f64 (pow.f64 (*.f64 y (+.f64 x z)) 2) (-.f64 x (*.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (+.f64 x z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (+.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) 2) (cbrt.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) (sqrt.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x z)) 3)) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x z)) 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 x z)) 2)) (/.f64 1 (-.f64 x (*.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 x z)) 2)) (pow.f64 (/.f64 1 (-.f64 x (*.f64 y (+.f64 x z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 y (+.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y (+.f64 x z) x) (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 2) 3) (cbrt.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y (+.f64 x z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 x z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x z)) 3)) (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x z)) 3)) (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 x z)) 2)) (-.f64 x (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x z)) 3))) (neg.f64 (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 x z)) 2))) (neg.f64 (-.f64 x (*.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) 2) (*.f64 x x)) (fma.f64 y (+.f64 x z) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (+.f64 x z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x z)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 y (+.f64 x z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 x z)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 y) (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x z)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 x z)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x z)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y (+.f64 x z) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 x z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x z) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (+.f64 x z)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) 2) (cbrt.f64 (*.f64 y (+.f64 x z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) 2) (*.f64 (cbrt.f64 (+.f64 x z)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 y (+.f64 x z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x z)) (*.f64 (sqrt.f64 (+.f64 x z)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x z)) 2)) (cbrt.f64 (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x y x))))))

simplify40.0ms (1.4%)

Algorithm
egg-herbie
Rules
318×fma-neg_binary64
256×fma-def_binary64
77×cancel-sign-sub-inv_binary64
63×distribute-rgt-in_binary64
46×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021258
152258
2101258
3202258
4349258
5658258
61098258
71415258
81439258
Stop Event
saturated
Counts
119 → 95
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(*.f64 (+.f64 1 y) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
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 y x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
Outputs
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(fma.f64 y (+.f64 z x) x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(fma.f64 y (+.f64 z x) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
(fma.f64 y (+.f64 z x) 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 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 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 z x) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 z x) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 z x) x)

localize7.0ms (0.2%)

Compiler

Compiled 15 to 5 computations (66.7% saved)

eval18.0ms (0.6%)

Compiler

Compiled 1262 to 379 computations (70% saved)

prune16.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New90595
Fresh000
Picked011
Done011
Total90797
Error
0b
Counts
97 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
32.0b
x
0b
(fma.f64 y (+.f64 x z) x)
39.7b
(*.f64 y z)
23.1b
(+.f64 (*.f64 y x) x)
30.9b
(*.f64 y (+.f64 z x))
0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
23.1b
(*.f64 (+.f64 1 y) x)
Compiler

Compiled 53 to 34 computations (35.8% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.2%)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite46.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
604×pow1_binary64
560×add-log-exp_binary64
560×log1p-expm1-u_binary64
560×expm1-log1p-u_binary64
549×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11217
215207
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (+.f64 1 y) x)
Outputs
((#(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 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (+.f64 1 (-.f64 (*.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 (-.f64 (*.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 (+.f64 x (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))))))

simplify10.0ms (0.4%)

Algorithm
egg-herbie
Rules
14×fma-def_binary64
associate-*r*_binary64
associate-*l*_binary64
*-lft-identity_binary64
*-rgt-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0554
11154
21654
32254
42854
54154
64554
74754
Stop Event
saturated
Counts
31 → 23
Calls
Call 1
Inputs
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
Outputs
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 y x) x)
Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0.1%)

Counts
1 → 15
Calls

6 calls:

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

rewrite48.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
633×pow1_binary64
590×add-log-exp_binary64
589×log1p-expm1-u_binary64
589×expm1-log1p-u_binary64
577×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11125
216105
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(+.f64 (*.f64 y x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (cbrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (-.f64 (*.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) 2)) (-.f64 x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x x) 1)))) (#(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 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 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 cbrt.f64 (pow.f64 (fma.f64 y x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x x)))))) (#(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 fma.f64 y x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) x)))) (#(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 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) x)))) (#(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 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x)))))

simplify15.0ms (0.5%)

Algorithm
egg-herbie
Rules
66×fma-def_binary64
53×fma-neg_binary64
20×unsub-neg_binary64
16×distribute-lft-in_binary64
16×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01293
12793
25869
313969
423669
533469
639469
Stop Event
saturated
Counts
55 → 45
Calls
Call 1
Inputs
x
(*.f64 y x)
(*.f64 y x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
Outputs
x
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)

eval12.0ms (0.4%)

Compiler

Compiled 636 to 252 computations (60.4% saved)

prune13.0ms (0.5%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New66268
Fresh101
Picked011
Done055
Total67875
Error
0b
Counts
75 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
39.7b
(*.f64 y z)
53.6b
(*.f64 y x)
32.0b
x
23.1b
(+.f64 (*.f64 y x) x)
30.9b
(*.f64 y (+.f64 z x))
0b
(fma.f64 y (+.f64 x z) x)
0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
23.1b
(*.f64 (+.f64 1 y) x)
Compiler

Compiled 59 to 38 computations (35.6% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done066
Total088
Error
0b
Counts
8 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
39.7b
(*.f64 y z)
53.6b
(*.f64 y x)
32.0b
x
23.1b
(+.f64 (*.f64 y x) x)
30.9b
(*.f64 y (+.f64 z x))
0b
(fma.f64 y (+.f64 x z) x)
0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
23.1b
(*.f64 (+.f64 1 y) x)
Compiler

Compiled 59 to 38 computations (35.6% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune4.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done077
Total088
Error
0b
Counts
8 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
39.7b
(*.f64 y z)
53.6b
(*.f64 y x)
32.0b
x
23.1b
(+.f64 (*.f64 y x) x)
30.9b
(*.f64 y (+.f64 z x))
0b
(fma.f64 y (+.f64 x z) x)
0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
23.1b
(*.f64 (+.f64 1 y) x)
Compiler

Compiled 59 to 38 computations (35.6% saved)

regimes30.0ms (1%)

Counts
9 → 1
Calls
Call 1
Inputs
x
x
(*.f64 y x)
(*.f64 y z)
(+.f64 (*.f64 y x) x)
(*.f64 y (+.f64 z x))
(*.f64 (+.f64 1 y) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 y (+.f64 x z) x)
Outputs
(fma.f64 y (+.f64 x z) x)
Calls

4 calls:

10.0ms
z
6.0ms
x
6.0ms
y
6.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1z
0b1(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 61 to 29 computations (52.5% saved)

regimes26.0ms (0.9%)

Counts
8 → 1
Calls
Call 1
Inputs
x
x
(*.f64 y x)
(*.f64 y z)
(+.f64 (*.f64 y x) x)
(*.f64 y (+.f64 z x))
(*.f64 (+.f64 1 y) x)
(+.f64 x (*.f64 y (+.f64 z x)))
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
Calls

4 calls:

6.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
6.0ms
y
6.0ms
z
5.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 55 to 27 computations (50.9% saved)

regimes55.0ms (1.9%)

Counts
7 → 3
Calls
Call 1
Inputs
x
x
(*.f64 y x)
(*.f64 y z)
(+.f64 (*.f64 y x) x)
(*.f64 y (+.f64 z x))
(*.f64 (+.f64 1 y) x)
Outputs
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 y x) x)
(*.f64 y (+.f64 z x))
Calls

3 calls:

23.0ms
z
15.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
12.2b3x
12.1b3y
14.3b5z
Compiler

Compiled 38 to 20 computations (47.4% saved)

bsearch35.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
15511.710226728514
1.2842763284913114e+20
17.0ms
-1.0036543196177389e-19
-1.649442018830292e-33
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes63.0ms (2.2%)

Counts
5 → 3
Calls
Call 1
Inputs
x
x
(*.f64 y x)
(*.f64 y z)
(+.f64 (*.f64 y x) x)
Outputs
(+.f64 (*.f64 y x) x)
(*.f64 y z)
(+.f64 (*.f64 y x) x)
Calls

3 calls:

28.0ms
y
21.0ms
z
12.0ms
x
Results
ErrorSegmentsBranch
13.9b3x
16.8b7y
14.6b5z
Compiler

Compiled 28 to 15 computations (46.4% saved)

bsearch35.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
9.847492158094307e-36
9.696530314842524e-31
18.0ms
-1.3618327212423968e-179
-3.131776390710162e-181
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes71.0ms (2.5%)

Counts
4 → 7
Calls
Call 1
Inputs
x
x
(*.f64 y x)
(*.f64 y z)
Outputs
(*.f64 y x)
(*.f64 y z)
(*.f64 y x)
(*.f64 y z)
x
(*.f64 y z)
(*.f64 y x)
Calls

3 calls:

28.0ms
y
27.0ms
z
14.0ms
x
Results
ErrorSegmentsBranch
21.2b3x
17.3b7y
21.9b7z
Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch362.0ms (12.7%)

Algorithm
binary-search
Steps
TimeLeftRight
99.0ms
6.795690729741625e+78
4.0528444606630257e+95
17.0ms
2.9604313304089513e-9
5.461995343755676e-5
18.0ms
-1.0036543196177389e-19
-1.649442018830292e-33
129.0ms
-2.0647652808497895e+38
-2.501560606365469e+34
69.0ms
-2.113303891342323e+78
-1.4557430201271989e+71
29.0ms
-2.0035870563998392e+150
-6.738220820776597e+142
Compiler

Compiled 520 to 371 computations (28.7% saved)

regimes38.0ms (1.3%)

Counts
3 → 3
Calls
Call 1
Inputs
x
x
(*.f64 y x)
Outputs
(*.f64 y x)
x
(*.f64 y x)
Calls

3 calls:

22.0ms
z
11.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
32.0b1x
23.9b3y
30.7b3z
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch35.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
0.18471694051643106
15511.710226728514
18.0ms
-4974666235.54134
-6.355887019631515e-6
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes12.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
x
Outputs
x
Calls

3 calls:

4.0ms
z
3.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
32.0b1x
32.0b1y
32.0b1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify8.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047164
153164
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 y -8338033873289753/83076749736557242056487941267521536) (*.f64 y (+.f64 z x)) (if (<=.f64 y 8527652880489947/549755813888) (+.f64 (*.f64 y x) x) (*.f64 y (+.f64 z x))))
(if (<=.f64 x -7952999579908193/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (+.f64 (*.f64 y x) x) (if (<=.f64 x 7368768467280925/748288838313422294120286634350736906063837462003712) (*.f64 y z) (+.f64 (*.f64 y x) x)))
(if (<=.f64 y -67999999999999996415933723911747302594262143824068444804876102899920066764208185282221126583145620800843514455839418960545431542920828367667200) (*.f64 y x) (if (<=.f64 y -2100000000000000079543025910293602830723971187558041230232093076935118377975808) (*.f64 y z) (if (<=.f64 y -199999999999999995497619646912068059136) (*.f64 y x) (if (<=.f64 y -8338033873289753/83076749736557242056487941267521536) (*.f64 y z) (if (<=.f64 y 7157883745054937/2417851639229258349412352) x (if (<=.f64 y 6800000000000000140031853615150282345560774615139097437222787180058012127592448) (*.f64 y z) (*.f64 y x)))))))
(if (<=.f64 y -1304078905649749/262144) (*.f64 y x) (if (<=.f64 y 3407426127785234432/18446744073709551616) x (*.f64 y x)))
x
Outputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(if (<=.f64 y -8338033873289753/83076749736557242056487941267521536) (*.f64 y (+.f64 z x)) (if (<=.f64 y 8527652880489947/549755813888) (+.f64 (*.f64 y x) x) (*.f64 y (+.f64 z x))))
(if (<=.f64 y -8338033873289753/83076749736557242056487941267521536) (*.f64 y (+.f64 x z)) (if (<=.f64 y 8527652880489947/549755813888) (+.f64 x (*.f64 y x)) (*.f64 y (+.f64 x z))))
(if (<=.f64 x -7952999579908193/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (+.f64 (*.f64 y x) x) (if (<=.f64 x 7368768467280925/748288838313422294120286634350736906063837462003712) (*.f64 y z) (+.f64 (*.f64 y x) x)))
(if (<=.f64 x -7952999579908193/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (+.f64 x (*.f64 y x)) (if (<=.f64 x 7368768467280925/748288838313422294120286634350736906063837462003712) (*.f64 y z) (+.f64 x (*.f64 y x))))
(if (<=.f64 y -67999999999999996415933723911747302594262143824068444804876102899920066764208185282221126583145620800843514455839418960545431542920828367667200) (*.f64 y x) (if (<=.f64 y -2100000000000000079543025910293602830723971187558041230232093076935118377975808) (*.f64 y z) (if (<=.f64 y -199999999999999995497619646912068059136) (*.f64 y x) (if (<=.f64 y -8338033873289753/83076749736557242056487941267521536) (*.f64 y z) (if (<=.f64 y 7157883745054937/2417851639229258349412352) x (if (<=.f64 y 6800000000000000140031853615150282345560774615139097437222787180058012127592448) (*.f64 y z) (*.f64 y x)))))))
(if (<=.f64 y -1304078905649749/262144) (*.f64 y x) (if (<=.f64 y 3407426127785234432/18446744073709551616) x (*.f64 y x)))
(if (<=.f64 y -1304078905649749/262144) (*.f64 y x) (if (<=.f64 y 831891144478817/4503599627370496) x (*.f64 y x)))
x
Compiler

Compiled 137 to 72 computations (47.4% saved)

soundness12.0ms (0.4%)

Algorithm
egg-herbie
Rules
66×fma-def_binary64
+-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
1168
2358
3508
4598
5668
6728
7918
81078
91218
101398
111468
121478
Stop Event
saturated
Compiler

Compiled 38 to 22 computations (42.1% saved)

end53.0ms (1.9%)

Compiler

Compiled 119 to 46 computations (61.3% saved)

Profiling

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