Details

Time bar (total: 1.9s)

analyze117.0ms (6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
50%43.7%6.3%7
59.3%34.3%6.3%8
67.1%23.4%9.5%9
72.6%18%9.5%10
76.9%12.1%11%11
79.8%9.2%11%12
82%6.1%11.8%13
83.6%4.6%11.8%14
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample820.0ms (42.2%)

Results
797.0ms8256×body128valid
11.0ms90×body128invalid
Compiler

Compiled 24 to 20 computations (16.7% saved)

preprocess17.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
36×fma-def_binary64
24×distribute-rgt-in_binary64
22×distribute-lft-in_binary64
15×*-commutative_binary64
14×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01420
12620
24916
39716
416816
518016
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y)
(*.f64 (*.f64 (-.f64 y (/.f64 16 116)) 3) x)
Outputs
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y)
(*.f64 (+.f64 x -4/29) (*.f64 3 y))
(*.f64 (fma.f64 x 3 -12/29) y)
(*.f64 (*.f64 (-.f64 y (/.f64 16 116)) 3) x)
(*.f64 x (*.f64 3 (+.f64 y -4/29)))
(*.f64 x (+.f64 (*.f64 3 y) -12/29))
(*.f64 x (fma.f64 3 y -12/29))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify7.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
18×fma-def_binary64
13×distribute-lft-in_binary64
13×distribute-rgt-in_binary64
10×*-commutative_binary64
9×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01110
11810
2338
3658
41018
51078
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y)
Outputs
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y)
(*.f64 (+.f64 x -4/29) (*.f64 3 y))
(*.f64 (fma.f64 x 3 -12/29) y)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.2b
(*.f64 (fma.f64 x 3 -12/29) y)
▶0.2b
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y)
Compiler

Compiled 55 to 43 computations (21.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 16 116))
✓0.0b
(*.f64 (-.f64 x (/.f64 16 116)) 3)
✓0.2b
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y)

series7.0ms (0.4%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms
y
@0
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms
y
@-inf
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms
y
@inf
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms
x
@-inf
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y)

rewrite52.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
525×unpow-prod-down_binary64
423×log-prod_binary64
258×pow2_binary64
183×expm1-udef_binary64
183×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01121
121821
2246217
Stop Event
1×node limit
Counts
3 → 91
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y)
(*.f64 (-.f64 x (/.f64 16 116)) 3)
(-.f64 x (/.f64 16 116))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x 3 -12/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -64/24389) (*.f64 3 y)) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/841) (*.f64 3 y)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 3 -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) 2)) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 -12/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -64/24389) 3) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4/29 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -4/29)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 1 (fma.f64 x x (fma.f64 x 4/29 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) -64/24389) (pow.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 4/29 16/841))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -16/841) (pow.f64 (/.f64 1 (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x -4/29) 2) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x -4/29) 2) (sqrt.f64 (+.f64 x -4/29))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -4/29))) 2) 3) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -4/29))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) -64/24389)) (neg.f64 (fma.f64 x x (fma.f64 x 4/29 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/841)) (neg.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -4/29)))))))

simplify46.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
647×fma-def_binary64
289×fma-neg_binary64
103×cancel-sign-sub-inv_binary64
71×distribute-rgt-neg-in_binary64
65×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019384
139279
278279
3126279
4173279
5259279
6422279
7737279
81186279
91862279
101916279
Stop Event
1×saturated
Counts
139 → 103
Calls
Call 1
Inputs
(*.f64 -12/29 y)
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 3 (*.f64 y x))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 3 (*.f64 y x))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
-12/29
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
-4/29
(-.f64 x 4/29)
(-.f64 x 4/29)
(-.f64 x 4/29)
x
(-.f64 x 4/29)
(-.f64 x 4/29)
(-.f64 x 4/29)
x
(-.f64 x 4/29)
(-.f64 x 4/29)
(-.f64 x 4/29)
Outputs
(*.f64 -12/29 y)
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y x))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y x))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
-12/29
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
-4/29
(-.f64 x 4/29)
(+.f64 x -4/29)
(-.f64 x 4/29)
(+.f64 x -4/29)
(-.f64 x 4/29)
(+.f64 x -4/29)
x
(-.f64 x 4/29)
(+.f64 x -4/29)
(-.f64 x 4/29)
(+.f64 x -4/29)
(-.f64 x 4/29)
(+.f64 x -4/29)
x
(-.f64 x 4/29)
(+.f64 x -4/29)
(-.f64 x 4/29)
(+.f64 x -4/29)
(-.f64 x 4/29)
(+.f64 x -4/29)

prune69.0ms (3.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New976103
Fresh011
Picked101
Done000
Total987105
Error
0.0b
Counts
105 → 7
Alt Table
StatusErrorProgram
▶0.2b
(*.f64 (fma.f64 x 3 -12/29) y)
20.3b
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -64/24389) (*.f64 3 y)) (fma.f64 x x (fma.f64 x 4/29 16/841)))
14.6b
(/.f64 (*.f64 (fma.f64 x x -16/841) (*.f64 3 y)) (+.f64 x 4/29))
50.6b
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2) 3) y)
15.9b
(*.f64 (expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) y)
0.3b
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
50.6b
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2) y)
Compiler

Compiled 1318 to 996 computations (24.4% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x 3 -12/29)
✓0.2b
(*.f64 (fma.f64 x 3 -12/29) y)

series7.0ms (0.3%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(*.f64 (fma.f64 x 3 -12/29) y)
1.0ms
y
@inf
(*.f64 (fma.f64 x 3 -12/29) y)
1.0ms
y
@0
(*.f64 (fma.f64 x 3 -12/29) y)
1.0ms
x
@-inf
(*.f64 (fma.f64 x 3 -12/29) y)
1.0ms
x
@inf
(*.f64 (fma.f64 x 3 -12/29) y)

rewrite38.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
628×pow1_binary64
583×add-log-exp_binary64
583×log1p-expm1-u_binary64
583×expm1-log1p-u_binary64
69×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114113
2155113
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(*.f64 (fma.f64 x 3 -12/29) y)
(fma.f64 x 3 -12/29)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) y) (*.f64 -12/29 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 3 -12/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) 1) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3 -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) -1728/24389) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 144/841 (*.f64 (*.f64 x 3) -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) 144/841) (-.f64 (*.f64 x 3) -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29)))))))

simplify30.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
315×fma-def_binary64
170×fma-neg_binary64
60×cancel-sign-sub-inv_binary64
48×distribute-rgt-neg-in_binary64
29×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014345
129240
252240
369240
4110240
5192240
6343240
7622240
8916240
91021240
101023240
Stop Event
1×saturated
Counts
74 → 48
Calls
Call 1
Inputs
(*.f64 -12/29 y)
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 3 (*.f64 y x))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 3 (*.f64 y x))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
-12/29
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
Outputs
(*.f64 -12/29 y)
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y x))
(*.f64 y (*.f64 3 x))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y x))
(*.f64 y (*.f64 3 x))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
-12/29
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)

prune32.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New48048
Fresh066
Picked011
Done000
Total48755
Error
0.0b
Counts
55 → 7
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (fma.f64 x 3 -12/29) y)
20.3b
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -64/24389) (*.f64 3 y)) (fma.f64 x x (fma.f64 x 4/29 16/841)))
14.6b
(/.f64 (*.f64 (fma.f64 x x -16/841) (*.f64 3 y)) (+.f64 x 4/29))
50.6b
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2) 3) y)
15.9b
(*.f64 (expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) y)
▶0.3b
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
50.6b
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2) y)
Compiler

Compiled 592 to 450 computations (24% saved)

localize4.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x 4/29)
✓0.1b
(*.f64 y (-.f64 x 4/29))
✓0.3b
(*.f64 3 (*.f64 y (-.f64 x 4/29)))

series12.0ms (0.6%)

Counts
3 → 31
Calls

15 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
1.0ms
y
@0
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
1.0ms
y
@-inf
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
1.0ms
x
@inf
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
1.0ms
y
@inf
(*.f64 3 (*.f64 y (-.f64 x 4/29)))

rewrite43.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
806×log1p-expm1-u_binary64
806×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
82×*-un-lft-identity_binary64
82×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
117421
2211321
Stop Event
1×node limit
Counts
3 → 70
Calls
Call 1
Inputs
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
(*.f64 y (-.f64 x 4/29))
(-.f64 x 4/29)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 y) x) (*.f64 (*.f64 3 y) -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (*.f64 y (+.f64 x -4/29)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) (+.f64 x -4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 -4/29 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -64/24389) y) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/841) y) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 x -4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -4/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -4/29))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 x -4/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -4/29) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4/29 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 1 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (+.f64 (pow.f64 x 3) -64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (-.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) -64/24389)) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/841)) (neg.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -4/29)))))))

simplify31.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
444×fma-def_binary64
244×fma-neg_binary64
95×cancel-sign-sub-inv_binary64
56×distribute-rgt-neg-in_binary64
44×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019227
141200
277200
3109200
4169200
5287200
6504200
7850200
81265200
91449200
101453200
Stop Event
1×saturated
Counts
101 → 85
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 -12/29 y)
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 3 (*.f64 y x))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 3 (*.f64 y x))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 -4/29 y)
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(*.f64 y x)
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(*.f64 y x)
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 y x) (*.f64 4/29 y))
-4/29
x
x
Outputs
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 -12/29 y)
(*.f64 y -12/29)
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 x y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 x y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 -4/29 y)
(*.f64 y -4/29)
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 x y) (*.f64 y 4/29))
(*.f64 y (-.f64 x 4/29))
(*.f64 y (+.f64 x -4/29))
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 x y) (*.f64 y 4/29))
(*.f64 y (-.f64 x 4/29))
(*.f64 y (+.f64 x -4/29))
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 x y) (*.f64 y 4/29))
(*.f64 y (-.f64 x 4/29))
(*.f64 y (+.f64 x -4/29))
(*.f64 y x)
(*.f64 x y)
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 x y) (*.f64 y 4/29))
(*.f64 y (-.f64 x 4/29))
(*.f64 y (+.f64 x -4/29))
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 x y) (*.f64 y 4/29))
(*.f64 y (-.f64 x 4/29))
(*.f64 y (+.f64 x -4/29))
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 x y) (*.f64 y 4/29))
(*.f64 y (-.f64 x 4/29))
(*.f64 y (+.f64 x -4/29))
(*.f64 y x)
(*.f64 x y)
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 x y) (*.f64 y 4/29))
(*.f64 y (-.f64 x 4/29))
(*.f64 y (+.f64 x -4/29))
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 x y) (*.f64 y 4/29))
(*.f64 y (-.f64 x 4/29))
(*.f64 y (+.f64 x -4/29))
(-.f64 (*.f64 y x) (*.f64 4/29 y))
(-.f64 (*.f64 x y) (*.f64 y 4/29))
(*.f64 y (-.f64 x 4/29))
(*.f64 y (+.f64 x -4/29))
-4/29
x
x

prune52.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh235
Picked011
Done011
Total86692
Error
0.0b
Counts
92 → 6
Alt Table
StatusErrorProgram
▶0.3b
(+.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))
✓0.2b
(*.f64 (fma.f64 x 3 -12/29) y)
20.3b
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -64/24389) (*.f64 3 y)) (fma.f64 x x (fma.f64 x 4/29 16/841)))
50.6b
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2) 3) y)
15.9b
(*.f64 (expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) y)
✓0.3b
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
Compiler

Compiled 1009 to 754 computations (25.3% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))
✓0.2b
(*.f64 x (*.f64 3 y))
✓0.3b
(*.f64 -4/29 (*.f64 3 y))

series12.0ms (0.6%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(+.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))
1.0ms
y
@-inf
(+.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))
1.0ms
y
@inf
(+.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))
1.0ms
y
@0
(+.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))
1.0ms
x
@-inf
(+.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))

rewrite50.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
503×log-prod_binary64
458×fma-def_binary64
197×fma-neg_binary64
174×expm1-udef_binary64
174×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0921
119821
2260519
Stop Event
1×node limit
Counts
3 → 116
Calls
Call 1
Inputs
(*.f64 -4/29 (*.f64 3 y))
(*.f64 x (*.f64 3 y))
(+.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -12/29) y)) (cbrt.f64 (pow.f64 (exp.f64 -12/29) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -12/29) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1728/24389 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -12/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1728/24389 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y -12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -12/29)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 3 y))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 3 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 3 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 3 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 3 x -12/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 3 x)) 2) (*.f64 y (fma.f64 3 x 12/29))) (/.f64 (pow.f64 (*.f64 y -12/29) 2) (*.f64 y (fma.f64 3 x 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 y (+.f64 -4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 -12/29 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (fma.f64 3 x -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 3 (+.f64 -4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 y) (+.f64 -4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (fma.f64 3 x -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) (+.f64 -4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))) 2) (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) (+.f64 -4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (fma.f64 3 x -12/29))) (sqrt.f64 (*.f64 y (fma.f64 3 x -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1728/24389 (pow.f64 y 3) (pow.f64 (*.f64 y (*.f64 3 x)) 3)) (/.f64 1 (fma.f64 (*.f64 y -12/29) (-.f64 (*.f64 y -12/29) (*.f64 y (*.f64 3 x))) (pow.f64 (*.f64 y (*.f64 3 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y (fma.f64 3 x -12/29)) (*.f64 y (fma.f64 3 x 12/29))) (/.f64 1 (*.f64 y (fma.f64 3 x 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -4/29 x) (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y -12/29) (-.f64 (*.f64 y -12/29) (*.f64 y (*.f64 3 x))) (pow.f64 (*.f64 y (*.f64 3 x)) 2)) (fma.f64 -1728/24389 (pow.f64 y 3) (pow.f64 (*.f64 y (*.f64 3 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y (fma.f64 3 x 12/29)) (*.f64 (*.f64 y (fma.f64 3 x -12/29)) (*.f64 y (fma.f64 3 x 12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1728/24389 (pow.f64 y 3) (pow.f64 (*.f64 y (*.f64 3 x)) 3)) (fma.f64 (*.f64 y -12/29) (-.f64 (*.f64 y -12/29) (*.f64 y (*.f64 3 x))) (pow.f64 (*.f64 y (*.f64 3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1728/24389 (pow.f64 y 3) (pow.f64 (*.f64 y (*.f64 3 x)) 3)) (fma.f64 144/841 (*.f64 y y) (-.f64 (pow.f64 (*.f64 y (*.f64 3 x)) 2) (*.f64 (*.f64 3 y) (*.f64 x (*.f64 y -12/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (fma.f64 3 x -12/29)) (*.f64 y (fma.f64 3 x 12/29))) (*.f64 y (fma.f64 3 x 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1728/24389 (pow.f64 y 3) (pow.f64 (*.f64 y (*.f64 3 x)) 3))) (neg.f64 (fma.f64 (*.f64 y -12/29) (-.f64 (*.f64 y -12/29) (*.f64 y (*.f64 3 x))) (pow.f64 (*.f64 y (*.f64 3 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 3 x -12/29)) (*.f64 y (fma.f64 3 x 12/29)))) (neg.f64 (*.f64 y (fma.f64 3 x 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y -12/29) 2) (pow.f64 (*.f64 y (*.f64 3 x)) 2)) (-.f64 (*.f64 y -12/29) (*.f64 y (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (fma.f64 3 x -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (fma.f64 3 x -12/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (fma.f64 3 x -12/29))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 y -12/29) (-.f64 (*.f64 y -12/29) (*.f64 y (*.f64 3 x))) (pow.f64 (*.f64 y (*.f64 3 x)) 2)) (fma.f64 -1728/24389 (pow.f64 y 3) (pow.f64 (*.f64 y (*.f64 3 x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (fma.f64 3 x 12/29)) (*.f64 (*.f64 y (fma.f64 3 x -12/29)) (*.f64 y (fma.f64 3 x 12/29)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (fma.f64 3 x -12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y (fma.f64 3 x -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 3 x -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y -12/29))) (pow.f64 (exp.f64 x) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -12/29) y) (+.f64 1 (expm1.f64 (*.f64 y (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y -12/29))) (+.f64 1 (expm1.f64 (*.f64 y (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 3 x)))) (pow.f64 (exp.f64 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 3 y)) (+.f64 1 (expm1.f64 (*.f64 y -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 3 x)))) (+.f64 1 (expm1.f64 (*.f64 y -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (fma.f64 3 x -12/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (fma.f64 3 x -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (fma.f64 3 x -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 3 x -12/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4/29 (*.f64 3 y) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 y -4/29) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -12/29 (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 3 x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 y) -4/29 (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 y) x (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y -12/29) 1 (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 3 y) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (*.f64 3 x)) 1 (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y -12/29) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (*.f64 3 x)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (*.f64 3 x))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 3 x))) 2) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 3 x))) 2) (cbrt.f64 (*.f64 y (*.f64 3 x))) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) -4/29) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y -12/29)) (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2) (cbrt.f64 (*.f64 y -12/29)) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 3 y)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (*.f64 3 x))) (sqrt.f64 (*.f64 y (*.f64 3 x))) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) -4/29) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -12/29)) (sqrt.f64 (*.f64 y -12/29)) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12/29 y (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) y (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) 3 (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 3 y)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) 1) y (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/29 y) 3 (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/29 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 3 y)) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/29 (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y)) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12/29 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12/29 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (fma.f64 3 x -12/29))))))))

simplify31.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
203×fma-def_binary64
135×fma-neg_binary64
52×cancel-sign-sub-inv_binary64
45×associate-*l*_binary64
44×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018507
144402
293402
3203402
4437402
5670402
6872402
7962402
Stop Event
1×saturated
Counts
176 → 121
Calls
Call 1
Inputs
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 -12/29 y)
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 3 (*.f64 y x))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 3 (*.f64 y x))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(*.f64 -1 (*.f64 y (-.f64 12/29 (*.f64 3 x))))
(*.f64 -1 (*.f64 y (-.f64 12/29 (*.f64 3 x))))
(*.f64 -1 (*.f64 y (-.f64 12/29 (*.f64 3 x))))
(*.f64 -1 (*.f64 y (-.f64 12/29 (*.f64 3 x))))
Outputs
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 -12/29 y)
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y x))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 3 (*.f64 y x))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (*.f64 3 (*.f64 y x)) (*.f64 12/29 y))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 (*.f64 3 x) 12/29) y)
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 -1 (*.f64 y (-.f64 12/29 (*.f64 3 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 -1 (*.f64 y (-.f64 12/29 (*.f64 3 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 -1 (*.f64 y (-.f64 12/29 (*.f64 3 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 -1 (*.f64 y (-.f64 12/29 (*.f64 3 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))

prune81.0ms (4.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh033
Picked011
Done022
Total1216127
Error
0.0b
Counts
127 → 6
Alt Table
StatusErrorProgram
✓0.3b
(+.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))
✓0.2b
(*.f64 (fma.f64 x 3 -12/29) y)
20.3b
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -64/24389) (*.f64 3 y)) (fma.f64 x x (fma.f64 x 4/29 16/841)))
50.6b
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2) 3) y)
15.9b
(*.f64 (expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) y)
✓0.3b
(*.f64 3 (*.f64 y (-.f64 x 4/29)))
Compiler

Compiled 1764 to 1291 computations (26.8% saved)

regimes289.0ms (14.9%)

Accuracy

Total 0.2b remaining (93.9%)

Threshold costs 0.2b (93.9%)

Counts
66 → 1
Compiler

Compiled 3602 to 2797 computations (22.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11011
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 -12/29 y (*.f64 y (*.f64 3 x)))
Outputs
(fma.f64 -12/29 y (*.f64 y (*.f64 3 x)))

end78.0ms (4%)

Stop Event
1×fuel
Compiler

Compiled 91 to 69 computations (24.2% saved)

Profiling

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