Details

Time bar (total: 3.7s)

analyze279.0ms (7.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
18.8%18.7%81.1%0.1%0%0%0%8
25.6%25%72.5%0.1%2.3%0%0%9
36.7%34.3%59.3%0.1%6.2%0%0%10
44.2%40.6%51.3%0.1%8%0%0%11
52%46.8%43.2%0.1%9.8%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.5s (41%)

Results
1.2s8256×body256valid
288.0ms1249×body256infinite
Bogosity

preprocess27.0ms (0.7%)

Algorithm
2×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
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)))
(+.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)

simplify12.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
1168
2358
3508
4598
5668
6728
7918
81078
91218
101398
111468
121478
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)))
(+.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
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
▶0.0b
(fma.f64 y (+.f64 x z) x)
Compiler

Compiled 19 to 11 computations (42.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 6 computations (71.4% saved)

series9.0ms (0.2%)

Counts
2 → 60
Calls

18 calls:

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

rewrite71.0ms (1.9%)

Algorithm
1×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
0717
116315
2259515
Stop Event
1×node limit
Counts
2 → 141
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
(*.f64 y (+.f64 z x))
Outputs
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(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) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y z) 1) (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 y z) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 y z) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 x (-.f64 x z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) (-.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 x (-.f64 x z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (+.f64 x z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) 1 (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))))))

simplify49.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
022408
154408
2104408
3204408
4351408
5660408
61093408
71408408
81432408
Stop Event
1×saturated
Counts
201 → 155
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))
(*.f64 y x)
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 y 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)
(*.f64 y x)
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y x)
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(*.f64 y x)
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 15 to 5 computations (66.7% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite50.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
730×pow1_binary64
677×add-log-exp_binary64
677×log1p-expm1-u_binary64
677×expm1-log1p-u_binary64
661×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11298
217898
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 y (+.f64 x z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (+.f64 x z)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (+.f64 x z) x)) 1)))) (#(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 (*.f64 y (+.f64 x z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 x z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 x z)) 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) 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 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 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)))))))

simplify42.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
318×fma-neg_binary64
256×fma-def_binary64
81×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
5659258
61099258
71423258
81447258
Stop Event
1×saturated
Counts
57 → 34
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 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)))
(+.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
x
(+.f64 (*.f64 y (+.f64 z x)) x)
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y (+.f64 z x)) x)
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y (+.f64 z x)) x)
(fma.f64 y (+.f64 x z) x)
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y (+.f64 z x)) x)
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y (+.f64 z x)) x)
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y (+.f64 z x)) x)
(fma.f64 y (+.f64 x z) x)
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y (+.f64 z x)) x)
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y (+.f64 z x)) x)
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y (+.f64 z x)) x)
(fma.f64 y (+.f64 x z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(fma.f64 y (+.f64 x z) x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x))
(fma.f64 y (+.f64 x z) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 x z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 x z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x))
(fma.f64 y (+.f64 x z) x)

eval37.0ms (1%)

Compiler

Compiled 2338 to 693 computations (70.4% saved)

prune36.0ms (1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1827189
Fresh000
Picked011
Done011
Total1829191
Error
0b
Counts
191 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
33.0b
x
▶23.4b
(+.f64 (*.f64 y x) x)
23.4b
(fma.f64 y x x)
▶0.0b
(+.f64 x (fma.f64 z y (*.f64 x y)))
▶23.4b
(*.f64 (+.f64 1 y) x)
▶40.0b
(*.f64 y z)
✓0.0b
(fma.f64 y (+.f64 x z) x)
▶30.2b
(*.f64 y (+.f64 z x))
Compiler

Compiled 119 to 74 computations (37.8% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 23 to 6 computations (73.9% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite54.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
833×pow1_binary64
771×add-log-exp_binary64
771×log1p-expm1-u_binary64
771×expm1-log1p-u_binary64
753×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
114910
2205010
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 x (fma.f64 z y (*.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 y (+.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 z x)))) (/.f64 (pow.f64 (*.f64 y (+.f64 z x)) 2) (-.f64 x (*.f64 y (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y (+.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))) 2) (cbrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))) (sqrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 z x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (+.f64 z x)) (-.f64 (*.f64 y (+.f64 z x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 z x)) 2)) (/.f64 1 (-.f64 x (*.f64 y (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y (+.f64 z x)) (-.f64 (*.f64 y (+.f64 z x)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 z x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y (+.f64 z x))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 z x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 z x)) 3)) (fma.f64 x x (*.f64 (*.f64 y (+.f64 z x)) (-.f64 (*.f64 y (+.f64 z x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 z x)) 3)) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y (+.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 z x)) 2)) (-.f64 x (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 z x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (+.f64 z x)) (-.f64 (*.f64 y (+.f64 z x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 z x)) 2))) (neg.f64 (-.f64 x (*.f64 y (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 z x)) 2) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 z x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y (+.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y (+.f64 z x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y (+.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 y (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y (+.f64 z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 y (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (+.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) 2) (cbrt.f64 (*.f64 y (+.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (+.f64 z x)))))))

simplify40.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
307×fma-neg_binary64
273×fma-def_binary64
47×unsub-neg_binary64
43×distribute-rgt-in_binary64
43×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027258
177258
2180258
3354258
4816258
51149258
61243258
71249258
Stop Event
1×saturated
Counts
69 → 47
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)))
(+.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))
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 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 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)
(+.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)
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 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x))))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x)
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x)
(fma.f64 y (+.f64 z x) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x)
(fma.f64 y (+.f64 z x) x)

localize4.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

localize6.0ms (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
y
@inf
(*.f64 (+.f64 1 y) x)
0.0ms
x
@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
@0
(*.f64 (+.f64 1 y) x)

rewrite47.0ms (1.3%)

Algorithm
1×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
1×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)))))))

simplify12.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0554
11154
21654
32254
42854
54154
64554
74754
Stop Event
1×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 (0.1%)

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)

series2.0ms (0.1%)

Counts
1 → 15
Calls

6 calls:

TimeVariablePointExpression
0.0ms
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)

rewrite49.0ms (1.3%)

Algorithm
1×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
1×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)))))

simplify16.0ms (0.4%)

Algorithm
1×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
1×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)

eval34.0ms (0.9%)

Compiler

Compiled 1894 to 632 computations (66.6% saved)

prune32.0ms (0.9%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New1714175
Fresh202
Picked011
Done156
Total17410184
Error
0b
Counts
184 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓23.4b
(+.f64 (*.f64 y x) x)
▶52.5b
(*.f64 y x)
▶30.2b
(fma.f64 z y (*.f64 x y))
✓23.4b
(*.f64 (+.f64 1 y) x)
✓0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
▶28.5b
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))
33.0b
x
✓40.0b
(*.f64 y z)
✓0.0b
(fma.f64 y (+.f64 x z) x)
✓30.2b
(*.f64 y (+.f64 z x))
Compiler

Compiled 82 to 53 computations (35.4% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓2.1b
(*.f64 (-.f64 1 (*.f64 y y)) x)
✓6.4b
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series9.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
y
@0
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))
1.0ms
y
@inf
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))
1.0ms
x
@inf
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))
1.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))

rewrite70.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
515×log-prod_binary64
349×prod-diff_binary64
331×pow-prod-down_binary64
264×pow2_binary64
191×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0926
120017
2286917
Stop Event
1×node limit
Counts
2 → 94
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))
(*.f64 (-.f64 1 (*.f64 y y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (-.f64 1 y) x)) (/.f64 (*.f64 y y) (/.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (/.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (/.f64 1 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 1 y) x)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 y) x)) 2) (cbrt.f64 (*.f64 (+.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 1 y) x)) (sqrt.f64 (*.f64 (+.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 y y)) (neg.f64 x)) (/.f64 1 (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 y)) (*.f64 (-.f64 1 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 y y)) 1) (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) -2) (/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 y y)) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (-.f64 1 (*.f64 y y)) (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (*.f64 (+.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 y) -1/2) (/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 y y)) (sqrt.f64 (-.f64 1 y))) (/.f64 x (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (-.f64 1 y))) (/.f64 (-.f64 1 (*.f64 y y)) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) 2) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (+.f64 1 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) 3) (pow.f64 (-.f64 1 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 1 y) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) 3) (pow.f64 (-.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 y) (log.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log1p.f64 y) (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (+.f64 (log1p.f64 y) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (+.f64 (log1p.f64 y) (log.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 y y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 y y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 y y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 6)) x) (+.f64 1 (fma.f64 y y (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 4)) x) (fma.f64 y y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 y 6))) (+.f64 1 (fma.f64 y y (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 y 4))) (fma.f64 y y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (*.f64 y y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 (*.f64 y y)) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 y y)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 y y)) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (neg.f64 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (neg.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (neg.f64 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (neg.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 (neg.f64 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 x (neg.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 (neg.f64 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 x (neg.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 (*.f64 y y))))))))

simplify65.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
950×fma-neg_binary64
347×associate-/r/_binary64
344×associate-/l/_binary64
325×associate-*l*_binary64
304×div-sub_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
016496
141475
289475
3196475
4623475
52438475
66265403
Stop Event
1×node limit
Counts
142 → 106
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)
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
x
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) 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)
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (-.f64 1 y) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 y)) x)
(/.f64 (-.f64 x (*.f64 y (*.f64 x y))) (-.f64 1 y))
(*.f64 (fma.f64 y (neg.f64 y) 1) (/.f64 x (-.f64 1 y)))
(*.f64 (fma.f64 y y -1) (/.f64 (neg.f64 x) (-.f64 1 y)))
(*.f64 x (/.f64 (-.f64 -1 y) -1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (-.f64 1 y) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 y)) x)
(/.f64 (-.f64 x (*.f64 y (*.f64 x y))) (-.f64 1 y))
(*.f64 (fma.f64 y (neg.f64 y) 1) (/.f64 x (-.f64 1 y)))
(*.f64 (fma.f64 y y -1) (/.f64 (neg.f64 x) (-.f64 1 y)))
(*.f64 x (/.f64 (-.f64 -1 y) -1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (-.f64 1 y) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 y)) x)
(/.f64 (-.f64 x (*.f64 y (*.f64 x y))) (-.f64 1 y))
(*.f64 (fma.f64 y (neg.f64 y) 1) (/.f64 x (-.f64 1 y)))
(*.f64 (fma.f64 y y -1) (/.f64 (neg.f64 x) (-.f64 1 y)))
(*.f64 x (/.f64 (-.f64 -1 y) -1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (-.f64 1 y) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 y)) x)
(/.f64 (-.f64 x (*.f64 y (*.f64 x y))) (-.f64 1 y))
(*.f64 (fma.f64 y (neg.f64 y) 1) (/.f64 x (-.f64 1 y)))
(*.f64 (fma.f64 y y -1) (/.f64 (neg.f64 x) (-.f64 1 y)))
(*.f64 x (/.f64 (-.f64 -1 y) -1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (-.f64 1 y) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 y)) x)
(/.f64 (-.f64 x (*.f64 y (*.f64 x y))) (-.f64 1 y))
(*.f64 (fma.f64 y (neg.f64 y) 1) (/.f64 x (-.f64 1 y)))
(*.f64 (fma.f64 y y -1) (/.f64 (neg.f64 x) (-.f64 1 y)))
(*.f64 x (/.f64 (-.f64 -1 y) -1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (-.f64 1 y) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 y)) x)
(/.f64 (-.f64 x (*.f64 y (*.f64 x y))) (-.f64 1 y))
(*.f64 (fma.f64 y (neg.f64 y) 1) (/.f64 x (-.f64 1 y)))
(*.f64 (fma.f64 y y -1) (/.f64 (neg.f64 x) (-.f64 1 y)))
(*.f64 x (/.f64 (-.f64 -1 y) -1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (-.f64 1 y) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 y)) x)
(/.f64 (-.f64 x (*.f64 y (*.f64 x y))) (-.f64 1 y))
(*.f64 (fma.f64 y (neg.f64 y) 1) (/.f64 x (-.f64 1 y)))
(*.f64 (fma.f64 y y -1) (/.f64 (neg.f64 x) (-.f64 1 y)))
(*.f64 x (/.f64 (-.f64 -1 y) -1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (-.f64 1 y) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 y)) x)
(/.f64 (-.f64 x (*.f64 y (*.f64 x y))) (-.f64 1 y))
(*.f64 (fma.f64 y (neg.f64 y) 1) (/.f64 x (-.f64 1 y)))
(*.f64 (fma.f64 y y -1) (/.f64 (neg.f64 x) (-.f64 1 y)))
(*.f64 x (/.f64 (-.f64 -1 y) -1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (-.f64 1 y) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 y)) x)
(/.f64 (-.f64 x (*.f64 y (*.f64 x y))) (-.f64 1 y))
(*.f64 (fma.f64 y (neg.f64 y) 1) (/.f64 x (-.f64 1 y)))
(*.f64 (fma.f64 y y -1) (/.f64 (neg.f64 x) (-.f64 1 y)))
(*.f64 x (/.f64 (-.f64 -1 y) -1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (-.f64 1 y) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 y)) x)
(/.f64 (-.f64 x (*.f64 y (*.f64 x y))) (-.f64 1 y))
(*.f64 (fma.f64 y (neg.f64 y) 1) (/.f64 x (-.f64 1 y)))
(*.f64 (fma.f64 y y -1) (/.f64 (neg.f64 x) (-.f64 1 y)))
(*.f64 x (/.f64 (-.f64 -1 y) -1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (-.f64 1 y) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 y)) x)
(/.f64 (-.f64 x (*.f64 y (*.f64 x y))) (-.f64 1 y))
(*.f64 (fma.f64 y (neg.f64 y) 1) (/.f64 x (-.f64 1 y)))
(*.f64 (fma.f64 y y -1) (/.f64 (neg.f64 x) (-.f64 1 y)))
(*.f64 x (/.f64 (-.f64 -1 y) -1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 2)) x) (-.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (-.f64 1 y) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 y)) x)
(/.f64 (-.f64 x (*.f64 y (*.f64 x y))) (-.f64 1 y))
(*.f64 (fma.f64 y (neg.f64 y) 1) (/.f64 x (-.f64 1 y)))
(*.f64 (fma.f64 y y -1) (/.f64 (neg.f64 x) (-.f64 1 y)))
(*.f64 x (/.f64 (-.f64 -1 y) -1))
x
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 x (*.f64 y y)))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 x y)))
(*.f64 y (*.f64 y (neg.f64 x)))
(*.f64 (*.f64 x y) (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 x (*.f64 y y)))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 x y)))
(*.f64 y (*.f64 y (neg.f64 x)))
(*.f64 (*.f64 x y) (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)
(*.f64 (-.f64 1 (pow.f64 y 2)) x)
(fma.f64 -1 (*.f64 x (*.f64 y y)) x)
(-.f64 x (*.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 (*.f64 y y)) x)

localize6.0ms (0.2%)

Compiler

Compiled 15 to 5 computations (66.7% saved)

eval33.0ms (0.9%)

Compiler

Compiled 1437 to 883 computations (38.6% saved)

prune20.0ms (0.6%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New1060106
Fresh011
Picked011
Done088
Total10610116
Error
0b
Counts
116 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓23.4b
(+.f64 (*.f64 y x) x)
✓52.5b
(*.f64 y x)
✓30.2b
(fma.f64 z y (*.f64 x y))
✓23.4b
(*.f64 (+.f64 1 y) x)
✓0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
✓28.5b
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))
33.0b
x
✓40.0b
(*.f64 y z)
✓0.0b
(fma.f64 y (+.f64 x z) x)
✓30.2b
(*.f64 y (+.f64 z x))
Compiler

Compiled 82 to 53 computations (35.4% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune6.0ms (0.2%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done099
Total01010
Error
0b
Counts
10 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓23.4b
(+.f64 (*.f64 y x) x)
✓52.5b
(*.f64 y x)
✓30.2b
(fma.f64 z y (*.f64 x y))
✓23.4b
(*.f64 (+.f64 1 y) x)
✓0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
✓28.5b
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))
33.0b
x
✓40.0b
(*.f64 y z)
✓0.0b
(fma.f64 y (+.f64 x z) x)
✓30.2b
(*.f64 y (+.f64 z x))
Compiler

Compiled 82 to 53 computations (35.4% saved)

regimes53.0ms (1.4%)

Counts
13 → 1
Calls
Call 1
Inputs
x
x
(*.f64 y x)
(*.f64 y z)
(+.f64 (*.f64 y x) x)
(*.f64 (+.f64 1 y) x)
(*.f64 y (+.f64 z x))
(+.f64 x (*.f64 y (+.f64 z x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))
(fma.f64 y x x)
(fma.f64 z y (*.f64 x y))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (fma.f64 z y (*.f64 x y)))
Outputs
(fma.f64 y (+.f64 x z) x)
Calls

4 calls:

27.0ms
z
8.0ms
x
7.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
7.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 90 to 40 computations (55.6% saved)

regimes169.0ms (4.6%)

Counts
11 → 1
Calls
Call 1
Inputs
x
x
(*.f64 y x)
(*.f64 y z)
(+.f64 (*.f64 y x) x)
(*.f64 (+.f64 1 y) x)
(*.f64 y (+.f64 z x))
(+.f64 x (*.f64 y (+.f64 z x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))
(fma.f64 y x x)
(fma.f64 z y (*.f64 x y))
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
Calls

4 calls:

144.0ms
z
8.0ms
x
7.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
7.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 76 to 37 computations (51.3% saved)

regimes230.0ms (6.2%)

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

3 calls:

157.0ms
x
56.0ms
z
15.0ms
y
Results
ErrorSegmentsBranch
11.8b3x
10.6b3y
13.9b8z
Compiler

Compiled 38 to 20 computations (47.4% saved)

bsearch36.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
1.0209021374745842e-79
6.310729193806499e-75
18.0ms
-5.3078904916561554e-55
-1.4075717235761597e-55
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes87.0ms (2.4%)

Counts
6 → 3
Calls
Call 1
Inputs
x
x
(*.f64 y x)
(*.f64 y z)
(+.f64 (*.f64 y x) x)
(*.f64 (+.f64 1 y) x)
Outputs
(+.f64 (*.f64 y x) x)
(*.f64 y z)
(+.f64 (*.f64 y x) x)
Calls

3 calls:

40.0ms
z
27.0ms
x
19.0ms
y
Results
ErrorSegmentsBranch
14.4b3x
18.2b4y
15.0b8z
Compiler

Compiled 33 to 18 computations (45.5% saved)

bsearch61.0ms (1.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
1.3945409698162524e-72
9.656469763820364e-68
31.0ms
-1.2171554990530815e-192
-2.1878381734762753e-194
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes134.0ms (3.6%)

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

3 calls:

60.0ms
z
37.0ms
y
35.0ms
x
Results
ErrorSegmentsBranch
21.6b3x
18.2b4y
23.7b8z
Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch68.0ms (1.9%)

Algorithm
3×binary-search
Steps
TimeLeftRight
16.0ms
1.5227295825095276e+239
6.842857692585702e+240
19.0ms
1.1728170399238108e-40
2.497539797108402e-40
33.0ms
-5.3078904916561554e-55
-1.4075717235761597e-55
Compiler

Compiled 114 to 81 computations (28.9% saved)

regimes20.0ms (0.6%)

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

3 calls:

10.0ms
y
5.0ms
z
4.0ms
x
Results
ErrorSegmentsBranch
33.0b1x
23.7b3y
33.0b1z
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch35.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
2.9542298642056915e-15
6.65056126725182
18.0ms
-807132.4706269042
-5.202389657302897
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes11.0ms (0.3%)

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
y
3.0ms
x
3.0ms
z
Results
ErrorSegmentsBranch
33.0b1x
33.0b1y
33.0b1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
3×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038128
144128
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 y -457921422624403/862718293348820473429344482784628181556388621521298319395315527974912) (*.f64 y (+.f64 z x)) (if (<=.f64 y 6814480408092683/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) x (*.f64 y (+.f64 z x))))
(if (<=.f64 x -97692922032717/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816) (+.f64 (*.f64 y x) x) (if (<=.f64 x 2774150513660245/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (*.f64 y z) (+.f64 (*.f64 y x) x)))
(if (<=.f64 y -457921422624403/862718293348820473429344482784628181556388621521298319395315527974912) (*.f64 y z) (if (<=.f64 y 1437869507147817/12259964326927110866866776217202473468949912977468817408) x (if (<=.f64 y 6800000000000000168863405387176182930247046660598137312599972349027821191158259273148179035555120880559148357653936910552270326938949102087871261712446530625281477961253860824011197919641901987292864859057615210278019019703837214274551283712) (*.f64 y z) (*.f64 y x))))
(if (<=.f64 y -1733303782441117/2147483648) (*.f64 y x) (if (<=.f64 y 7489862521145011/2535301200456458802993406410752) 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 -457921422624403/862718293348820473429344482784628181556388621521298319395315527974912) (*.f64 y (+.f64 z x)) (if (<=.f64 y 6814480408092683/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) x (*.f64 y (+.f64 z x))))
(if (<=.f64 y -457921422624403/862718293348820473429344482784628181556388621521298319395315527974912) (*.f64 y (+.f64 x z)) (if (<=.f64 y 6814480408092683/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) x (*.f64 y (+.f64 x z))))
(if (<=.f64 x -97692922032717/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816) (+.f64 (*.f64 y x) x) (if (<=.f64 x 2774150513660245/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (*.f64 y z) (+.f64 (*.f64 y x) x)))
(if (<=.f64 x -97692922032717/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816) (+.f64 x (*.f64 y x)) (if (<=.f64 x 2774150513660245/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (*.f64 y z) (+.f64 x (*.f64 y x))))
(if (<=.f64 y -457921422624403/862718293348820473429344482784628181556388621521298319395315527974912) (*.f64 y z) (if (<=.f64 y 1437869507147817/12259964326927110866866776217202473468949912977468817408) x (if (<=.f64 y 6800000000000000168863405387176182930247046660598137312599972349027821191158259273148179035555120880559148357653936910552270326938949102087871261712446530625281477961253860824011197919641901987292864859057615210278019019703837214274551283712) (*.f64 y z) (*.f64 y x))))
(if (<=.f64 y -1733303782441117/2147483648) (*.f64 y x) (if (<=.f64 y 7489862521145011/2535301200456458802993406410752) x (*.f64 y x)))
x
Compiler

Compiled 112 to 61 computations (45.5% saved)

soundness13.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

Compiled 38 to 22 computations (42.1% saved)

end72.0ms (1.9%)

Compiler

Compiled 94 to 37 computations (60.6% saved)

Profiling

Loading profile data...