Details

analyze109.0ms (2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
53.3%	50%	43.7%	0.1%	6.2%	0%	0%	7
63.3%	59.3%	34.3%	0.1%	6.2%	0%	0%	8
74.1%	67.1%	23.4%	0.1%	9.4%	0%	0%	9
80.2%	72.6%	18%	0.1%	9.4%	0%	0%	10
86.4%	76.9%	12.1%	0.1%	10.9%	0%	0%	11
89.7%	79.8%	9.2%	0.1%	10.9%	0%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample950.0ms (17.9%)

Results

917.0ms	8256×	body	256	valid
23.0ms	159×	body	256	infinite

Bogosity

preprocess36.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

72×	`fma-def`
44×	`*-commutative`
36×	`distribute-lft-in`
20×	`distribute-rgt-in`
16×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	28	38
2	47	30
3	95	30
4	137	30
5	149	30
0	2	2

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 3 (.f64 (+.f64 y -4/29) x))
(*.f64 x (fma.f64 3 y -12/29))

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

36×	`fma-def`
26×	`*-commutative`
20×	`distribute-lft-in`
12×	`distribute-rgt-in`
10×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	20	19
2	34	15
3	62	15
4	82	15
5	88	15

Stop Event

1×

saturated

Counts

1 → 3

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)

eval1.0ms (0%)

Compiler: Compiled 24 to 18 computations (25% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Kept	Total
New	3	3
Fresh	1	1
Picked	0	0
Done	0	0
Total	4	4

Error

0.16%

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.35%	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.43%	(.f64 (+.f64 x -4/29) (.f64 3 y))
▶	0.29%	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(*.f64 (-.f64 x (/.f64 16 116)) 3)
✓	0.29%	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

Compiler

Compiled 31 to 25 computations (19.4% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (-.f64 x (/.f64 16 116)) 3)
1.0ms	y	@	0	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
0.0ms	x	@	inf	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
0.0ms	y	@	inf	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
0.0ms	x	@	0	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

rewrite68.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`*-commutative`
610×	`unswap-sqr`
578×	`associate-*r/`
556×	`swap-sqr`
464×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	238	32
2	2703	32

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(*.f64 (-.f64 x (/.f64 16 116)) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y))) -1)))) (#(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 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3 y) -4/29) (.f64 (.f64 3 y) x))))) (#(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 x (.f64 3 y)) (.f64 -4/29 (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -4/29 (.f64 3 y)) (.f64 x (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (.f64 (.f64 3 y) (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 y) (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (.f64 3 y)))))) (#(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 /.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) (+.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 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389)) (fma.f64 x x (+.f64 16/841 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 (*.f64 x 3) -12/29) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 x 3) -12/29))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.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 (+.f64 (.f64 x 3) -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (.f64 3 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) 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(.f64 (.f64 x 3) (.f64 x 3)) (-.f64 144/841 (.f64 (.f64 x 3) -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 x 3) -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (.f64 x 3) -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (.f64 x 3) -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (.f64 x 3) -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (.f64 x 3) -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 x 3) -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (.f64 x 3) -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (.f64 x 3) -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (.f64 x 3) -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x 3) -12/29)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) -1)))) (#(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 (*.f64 (*.f64 3 y) x) (*.f64 (*.f64 3 y) -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 y) -4/29) (*.f64 (*.f64 3 y) x))))) (#(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 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -4/29 (*.f64 3 y)) (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (*.f64 (*.f64 3 y) (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (*.f64 3 y)))))) (#(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 /.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) (+.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 (*.f64 y (*.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (*.f64 3 (pow.f64 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y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 (*.f64 x 3) -12/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.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 (+.f64 (*.f64 x 3) -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) 1) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))))) (#(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 /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29))) (exp.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29)))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29))) 1))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 x 3) -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x 3) -12/29)))))))

simplify129.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1122×	`distribute-lft-in`
1058×	`*-commutative`
1050×	`distribute-rgt-in`
1014×	`associate-/l/`
982×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	3517
1	670	3255
2	2561	3253

Stop Event

1×	node limit

Counts

133 → 160

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 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)))
(.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)
(+.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y))) -1)
(+.f64 (.f64 y (.f64 x 3)) (*.f64 y -12/29))
(+.f64 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))
(+.f64 (.f64 (.f64 3 y) -4/29) (.f64 (.f64 3 y) x))
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(+.f64 (.f64 x (.f64 3 y)) (.f64 -4/29 (.f64 3 y)))
(+.f64 (.f64 -4/29 (.f64 3 y)) (.f64 x (.f64 3 y)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y))) 1)
(/.f64 1 (/.f64 (+.f64 x 4/29) (.f64 (.f64 3 y) (fma.f64 x x -16/841))))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389))))
(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))
(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 3 y)))
(/.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (.f64 3 y)))
(/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (.f64 x x) (-.f64 16/841 (.f64 x -4/29))))
(/.f64 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(/.f64 (.f64 y (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (.f64 1 (.f64 (*.f64 3 y) (fma.f64 x x -16/841))) (+.f64 x 4/29))
(/.f64 (.f64 1 (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389))) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 (.f64 (.f64 3 y) (neg.f64 (fma.f64 x x -16/841))) (+.f64 -4/29 (neg.f64 x)))
(/.f64 (.f64 (.f64 3 y) (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389)) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(/.f64 (.f64 (neg.f64 (fma.f64 x x -16/841)) (.f64 3 y)) (+.f64 -4/29 (neg.f64 x)))
(/.f64 (.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) (.f64 3 y)) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(/.f64 (.f64 (.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29))
(/.f64 (.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) y) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (.f64 (.f64 (*.f64 3 y) (fma.f64 x x -16/841)) 1) (+.f64 x 4/29))
(/.f64 (.f64 (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) 1) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (.f64 (sqrt.f64 (+.f64 x -4/29)) (.f64 3 y))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -16/841)) (.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 3 y))) (sqrt.f64 (+.f64 x 4/29)))
(/.f64 (/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) 1) (+.f64 x 4/29))
(/.f64 (/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x 4/29)))
(/.f64 (/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) (*.f64 (cbrt.f64 (+.f64 x 4/29)) (cbrt.f64 (+.f64 x 4/29)))) (cbrt.f64 (+.f64 x 4/29)))
(/.f64 (/.f64 (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) 1) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (/.f64 (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(/.f64 (/.f64 (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y))) (exp.f64 (log1p.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (*.f64 x 3) -12/29) y))) 1))
(pow.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y) 1)
(pow.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y)) 2)
(pow.f64 (cbrt.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y)) 3)
(pow.f64 (pow.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y) 2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 (*.f64 x 3) -12/29)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y) 3))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 x 3) -12/29) 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y)))
(exp.f64 (log.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y)))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y)))
(+.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29))) -1)
(+.f64 (*.f64 x 3) -12/29)
(+.f64 -12/29 (*.f64 x 3))
(+.f64 (.f64 1 (.f64 x 3)) -12/29)
(+.f64 (.f64 (.f64 x 3) 1) -12/29)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29))) 1)
(/.f64 3 (/.f64 1 (+.f64 x -4/29)))
(/.f64 1 (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841))))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389)))
(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) 3))
(/.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) 3))
(/.f64 (*.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) (+.f64 (.f64 x x) (-.f64 16/841 (*.f64 x -4/29))))
(/.f64 (*.f64 3 (neg.f64 (fma.f64 x x -16/841))) (+.f64 -4/29 (neg.f64 x)))
(/.f64 (.f64 3 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389)) (neg.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(/.f64 (.f64 1 (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(/.f64 (.f64 1 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (.f64 (.f64 3 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(/.f64 (.f64 (.f64 3 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (+.f64 x 4/29)))
(/.f64 (.f64 (.f64 3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(/.f64 (.f64 (.f64 3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -16/841)) 3) (+.f64 -4/29 (neg.f64 x)))
(/.f64 (.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) 3) (neg.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(/.f64 (.f64 (.f64 3 (fma.f64 x x -16/841)) 1) (+.f64 x 4/29))
(/.f64 (.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) 1) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (.f64 3 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -16/841)) (.f64 3 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 x 4/29)))
(/.f64 (/.f64 (*.f64 3 (fma.f64 x x -16/841)) 1) (+.f64 x 4/29))
(/.f64 (/.f64 (*.f64 3 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x 4/29)))
(/.f64 (/.f64 (.f64 3 (fma.f64 x x -16/841)) (.f64 (cbrt.f64 (+.f64 x 4/29)) (cbrt.f64 (+.f64 x 4/29)))) (cbrt.f64 (+.f64 x 4/29)))
(/.f64 (/.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) 1) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 (/.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(/.f64 (/.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) (.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(/.f64 (-.f64 (.f64 (.f64 x 3) (.f64 x 3)) 144/841) (-.f64 (.f64 x 3) -12/29))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 x 3) -12/29))) (exp.f64 (log1p.f64 (+.f64 (.f64 x 3) -12/29)))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 x 3) -12/29))) 1))
(/.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))))
(pow.f64 (+.f64 (*.f64 x 3) -12/29) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x 3) -12/29)) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x 3) -12/29)) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x 3) -12/29) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x 3) -12/29) 2))
(log.f64 (pow.f64 (exp.f64 3) (+.f64 x -4/29)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x 3) -12/29))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x 3) -12/29) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29)))
(exp.f64 (log.f64 (+.f64 (*.f64 x 3) -12/29)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 3) -12/29)))

Outputs
(*.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 y (fma.f64 3 x -12/29))
(+.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 x (.f64 y 3))
(+.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 y (fma.f64 3 x -12/29))
(+.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 x (.f64 y 3))
(+.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 y (fma.f64 3 x -12/29))
(+.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 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(*.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)
(+.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y))) -1)
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 y (.f64 x 3)) (*.f64 y -12/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (.f64 3 y) -4/29) (.f64 (.f64 3 y) x))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 x (.f64 3 y)) (.f64 -4/29 (.f64 3 y)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 -4/29 (.f64 3 y)) (.f64 x (.f64 3 y)))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y))) 1)
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 1 (/.f64 (+.f64 x 4/29) (.f64 (.f64 3 y) (fma.f64 x x -16/841))))
(/.f64 y (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841))))
(.f64 (.f64 y 3) (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)))
(.f64 y (.f64 3 (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389))))
(/.f64 (.f64 (.f64 y 3) (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(*.f64 (/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x x (fma.f64 x 4/29 16/841))) y)
(*.f64 y (/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x x (fma.f64 x 4/29 16/841))))
(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 3 y)))
(/.f64 y (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841))))
(.f64 (.f64 y 3) (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)))
(.f64 y (.f64 3 (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))
(/.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (.f64 3 y)))
(/.f64 (.f64 (.f64 y 3) (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(*.f64 (/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x x (fma.f64 x 4/29 16/841))) y)
(*.f64 y (/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x x (fma.f64 x 4/29 16/841))))
(/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 y (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841))))
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(/.f64 (.f64 (.f64 3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (/.f64 (/.f64 (cbrt.f64 (fma.f64 x x (fma.f64 x 4/29 16/841))) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) 3))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (/.f64 (cbrt.f64 (fma.f64 x x (fma.f64 x 4/29 16/841))) (*.f64 3 (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)))))
(/.f64 (.f64 (.f64 3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29)))
(/.f64 (*.f64 3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 (cbrt.f64 (+.f64 x 4/29)) (cbrt.f64 (fma.f64 x x -16/841))))
(.f64 (/.f64 (.f64 3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 x 4/29))) (cbrt.f64 (fma.f64 x x -16/841)))
(*.f64 (/.f64 3 (/.f64 (cbrt.f64 (+.f64 x 4/29)) (cbrt.f64 (fma.f64 x x -16/841)))) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -16/841)) 3) (+.f64 -4/29 (neg.f64 x)))
(/.f64 (*.f64 3 (neg.f64 (fma.f64 x x -16/841))) (-.f64 -4/29 x))
(/.f64 (*.f64 (fma.f64 x x -16/841) -3) (-.f64 -4/29 x))
(/.f64 (.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) 3) (neg.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) (/.f64 (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) 3))
(*.f64 -3 (/.f64 (-.f64 64/24389 (pow.f64 x 3)) (fma.f64 x x (fma.f64 x 4/29 16/841))))
(*.f64 (-.f64 64/24389 (pow.f64 x 3)) (/.f64 -3 (fma.f64 x x (fma.f64 x 4/29 16/841))))
(/.f64 (.f64 (.f64 3 (fma.f64 x x -16/841)) 1) (+.f64 x 4/29))
(/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))
(*.f64 3 (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)))
(/.f64 (.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) 1) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x x (fma.f64 x 4/29 16/841)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (.f64 3 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(/.f64 (.f64 3 (.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (sqrt.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)))) (.f64 3 (sqrt.f64 (+.f64 x -4/29))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (/.f64 (.f64 3 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -16/841)) (.f64 3 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 x 4/29)))
(/.f64 (*.f64 3 (sqrt.f64 (+.f64 x -4/29))) (/.f64 (sqrt.f64 (+.f64 x 4/29)) (sqrt.f64 (fma.f64 x x -16/841))))
(/.f64 (sqrt.f64 (fma.f64 x x -16/841)) (/.f64 (sqrt.f64 (+.f64 x 4/29)) (*.f64 3 (sqrt.f64 (+.f64 x -4/29)))))
(/.f64 (/.f64 (*.f64 3 (fma.f64 x x -16/841)) 1) (+.f64 x 4/29))
(/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))
(*.f64 3 (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)))
(/.f64 (/.f64 (*.f64 3 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x 4/29)))
(/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))
(*.f64 3 (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)))
(/.f64 (/.f64 (.f64 3 (fma.f64 x x -16/841)) (.f64 (cbrt.f64 (+.f64 x 4/29)) (cbrt.f64 (+.f64 x 4/29)))) (cbrt.f64 (+.f64 x 4/29)))
(/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))
(*.f64 3 (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)))
(/.f64 (/.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) 1) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x x (fma.f64 x 4/29 16/841)))
(/.f64 (/.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x x (fma.f64 x 4/29 16/841)))
(/.f64 (/.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) (.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x x (fma.f64 x 4/29 16/841)))
(/.f64 (-.f64 (.f64 (.f64 x 3) (.f64 x 3)) 144/841) (-.f64 (.f64 x 3) -12/29))
(/.f64 (+.f64 (.f64 (.f64 x x) 9) -144/841) (fma.f64 x 3 12/29))
(/.f64 (fma.f64 x (*.f64 9 x) -144/841) (fma.f64 3 x 12/29))
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 x 3) -12/29))) (exp.f64 (log1p.f64 (+.f64 (.f64 x 3) -12/29)))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 x 3) -12/29))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 3 x -12/29)))) (fma.f64 3 x -12/29)) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 3 x -12/29)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 3 x -12/29)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 3 x -12/29)))))
(/.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))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -1728/24389) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (+.f64 (fma.f64 (.f64 x x) 9 144/841) (.f64 x 36/29)))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (+.f64 144/841 (.f64 x (+.f64 36/29 (.f64 x 9)))))
(pow.f64 (+.f64 (*.f64 x 3) -12/29) 1)
(fma.f64 3 x -12/29)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x 3) -12/29)) 2)
(fma.f64 3 x -12/29)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x 3) -12/29)) 3)
(fma.f64 3 x -12/29)
(pow.f64 (pow.f64 (+.f64 (*.f64 x 3) -12/29) 3) 1/3)
(fma.f64 3 x -12/29)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x 3) -12/29) 2))
(sqrt.f64 (pow.f64 (fma.f64 3 x -12/29) 2))
(fabs.f64 (fma.f64 3 x -12/29))
(log.f64 (pow.f64 (exp.f64 3) (+.f64 x -4/29)))
(fma.f64 3 x -12/29)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x 3) -12/29))))
(fma.f64 3 x -12/29)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x 3) -12/29) 3))
(fma.f64 3 x -12/29)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29)))
(fma.f64 3 x -12/29)
(exp.f64 (log.f64 (+.f64 (*.f64 x 3) -12/29)))
(fma.f64 3 x -12/29)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 3) -12/29)))
(fma.f64 3 x -12/29)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.43%	(.f64 (+.f64 x -4/29) (.f64 3 y))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (+.f64 x -4/29) (.f64 3 y))
0.0ms	x	@	0	(.f64 (+.f64 x -4/29) (.f64 3 y))
0.0ms	x	@	-inf	(.f64 (+.f64 x -4/29) (.f64 3 y))
0.0ms	y	@	-inf	(.f64 (+.f64 x -4/29) (.f64 3 y))
0.0ms	y	@	inf	(.f64 (+.f64 x -4/29) (.f64 3 y))

rewrite66.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1932×	`add-sqr-sqrt`
1904×	`*-un-lft-identity`
1786×	`add-cube-cbrt`
1768×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	192	19
2	2334	19

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(.f64 (+.f64 x -4/29) (.f64 3 y))

Outputs
((#(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 (.f64 (.f64 3 y) -4/29) (.f64 (.f64 3 y) x))))) (#(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 -4/29 (.f64 3 y)) (.f64 x (.f64 3 y)))))) (#(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) (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (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) (.f64 3 y)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -64/24389 (pow.f64 x 3)) (.f64 3 y)) (fma.f64 x x (-.f64 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 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 2)))) (#(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 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) (+.f64 x -4/29)))))) (#(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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (.f64 (+.f64 x -4/29) (*.f64 3 y))))))))

Outputs

((#(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 (*.f64 (*.f64 3 y) -4/29) (*.f64 (*.f64 3 y) x))))) (#(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 -4/29 (*.f64 3 y)) (*.f64 x (*.f64 3 y)))))) (#(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) (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (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) (*.f64 3 y)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64/24389 (pow.f64 x 3)) (*.f64 3 y)) (fma.f64 x x (-.f64 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 (sqrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 2)))) (#(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 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) (+.f64 x -4/29)))))) (#(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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))))))))

simplify63.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1532×	`fma-def`
1514×	`associate-r`
1394×	`associate-l`
1156×	`log-prod`
798×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	923
1	186	923
2	571	763
3	4228	755

Stop Event

1×	node limit

Counts

45 → 35

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 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)))
(.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 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))
(+.f64 (.f64 (.f64 3 y) -4/29) (.f64 (.f64 3 y) x))
(+.f64 (.f64 x (.f64 3 y)) (.f64 -4/29 (.f64 3 y)))
(+.f64 (.f64 -4/29 (.f64 3 y)) (.f64 x (.f64 3 y)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))) 1)
(/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (.f64 (.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))
(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
(/.f64 (.f64 (+.f64 -64/24389 (pow.f64 x 3)) (.f64 3 y)) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))
(pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 1)
(pow.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 2)
(pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 3)
(pow.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) (+.f64 x -4/29)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 3))
(expm1.f64 (log1p.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))
(exp.f64 (log.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x -4/29) (*.f64 3 y))) 1))
(log1p.f64 (expm1.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))

Outputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.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 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.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 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (.f64 3 y) -4/29) (.f64 (.f64 3 y) x))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 x (.f64 3 y)) (.f64 -4/29 (.f64 3 y)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 -4/29 (.f64 3 y)) (.f64 x (.f64 3 y)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))) 1)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (*.f64 y 3) (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))
(.f64 (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)) (.f64 y 3))
(.f64 (.f64 y 3) (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)))
(/.f64 (.f64 (.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))
(/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 16/841 (.f64 x -4/29))) (.f64 y 3)))
(.f64 (/.f64 (.f64 y 3) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (+.f64 -64/24389 (pow.f64 x 3)))
(*.f64 (/.f64 3 (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 -64/24389 (pow.f64 x 3)))) y)
(*.f64 (/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x x (fma.f64 x 4/29 16/841))) y)
(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
(/.f64 (*.f64 y 3) (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))
(.f64 (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)) (.f64 y 3))
(.f64 (.f64 y 3) (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)))
(/.f64 (.f64 (+.f64 -64/24389 (pow.f64 x 3)) (.f64 3 y)) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))
(/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 16/841 (.f64 x -4/29))) (.f64 y 3)))
(.f64 (/.f64 (.f64 y 3) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (+.f64 -64/24389 (pow.f64 x 3)))
(*.f64 (/.f64 3 (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 -64/24389 (pow.f64 x 3)))) y)
(*.f64 (/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x x (fma.f64 x 4/29 16/841))) y)
(pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 1)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 2)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 3)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 3) 1/3)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(sqrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 2))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) (+.f64 x -4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(cbrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 3))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(expm1.f64 (log1p.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(exp.f64 (log.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x -4/29) (*.f64 3 y))) 1))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(log1p.f64 (expm1.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1%	(fma.f64 x 3 -12/29)
✓	0.29%	(*.f64 (fma.f64 x 3 -12/29) y)

Compiler

Compiled 16 to 11 computations (31.3% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (fma.f64 x 3 -12/29) y)
0.0ms	y	@	0	(*.f64 (fma.f64 x 3 -12/29) y)
0.0ms	x	@	-inf	(*.f64 (fma.f64 x 3 -12/29) y)
0.0ms	y	@	inf	(*.f64 (fma.f64 x 3 -12/29) y)
0.0ms	y	@	-inf	(*.f64 (fma.f64 x 3 -12/29) y)

rewrite57.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`add-sqr-sqrt`
1624×	`*-un-lft-identity`
1514×	`add-cube-cbrt`
1496×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	180	24
2	2007	24

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 y (*.f64 x 3)) (*.f64 y -12/29))))) (#(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 (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 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)))) (#(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 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)))) (#(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 expm1.f64 (log1p.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 log1p.f64 (expm1.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 (sqrt.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (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 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) 144/841) (-.f64 (*.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 pow.f64 (fma.f64 x 3 -12/29) 1)))) (#(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 pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)))) (#(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 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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))))))

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1280×	`associate-+r+`
1224×	`associate-+l+`
906×	`*-commutative`
652×	`unswap-sqr`
534×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	946
1	224	934
2	918	930
3	3726	930

Stop Event

1×	node limit

Counts

74 → 54

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)
(+.f64 (.f64 y (.f64 x 3)) (*.f64 y -12/29))
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 1)
(pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(+.f64 -12/29 (*.f64 x 3))
(+.f64 (*.f64 x 3) -12/29)
(+.f64 (.f64 (.f64 x 3) 1) -12/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 -12/29))) 1)
(*.f64 (fma.f64 x 3 -12/29) 1)
(*.f64 1 (fma.f64 x 3 -12/29))
(*.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (fma.f64 x 3 -12/29)))
(*.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29)))
(/.f64 (-.f64 (.f64 (.f64 x 3) (.f64 x 3)) 144/841) (-.f64 (.f64 x 3) -12/29))
(/.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))))
(pow.f64 (fma.f64 x 3 -12/29) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)
(pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))
(log.f64 (exp.f64 (fma.f64 x 3 -12/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 -12/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29)))
(exp.f64 (log.f64 (fma.f64 x 3 -12/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))

Outputs
(*.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 y (fma.f64 3 x -12/29))
(+.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 y (fma.f64 3 x -12/29))
(+.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 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 y (fma.f64 3 x -12/29))
(+.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 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 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)
(+.f64 (.f64 y (.f64 x 3)) (*.f64 y -12/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 1)
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1)
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)
(*.f64 y (fma.f64 3 x -12/29))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))
(*.f64 y (fma.f64 3 x -12/29))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))
(*.f64 y (fma.f64 3 x -12/29))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y))))
(*.f64 y (fma.f64 3 x -12/29))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3))
(*.f64 y (fma.f64 3 x -12/29))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(*.f64 y (fma.f64 3 x -12/29))
(exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(*.f64 y (fma.f64 3 x -12/29))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y)) 1))
(*.f64 y (fma.f64 3 x -12/29))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 -12/29 (*.f64 x 3))
(fma.f64 3 x -12/29)
(+.f64 (*.f64 x 3) -12/29)
(fma.f64 3 x -12/29)
(+.f64 (.f64 (.f64 x 3) 1) -12/29)
(fma.f64 3 x -12/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 -12/29))) 1)
(fma.f64 3 x -12/29)
(*.f64 (fma.f64 x 3 -12/29) 1)
(fma.f64 3 x -12/29)
(*.f64 1 (fma.f64 x 3 -12/29))
(fma.f64 3 x -12/29)
(*.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(*.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2))
(fma.f64 3 x -12/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(/.f64 (-.f64 (.f64 (.f64 x 3) (.f64 x 3)) 144/841) (-.f64 (.f64 x 3) -12/29))
(/.f64 (+.f64 (.f64 (.f64 x x) 9) -144/841) (fma.f64 x 3 12/29))
(/.f64 (fma.f64 x (*.f64 9 x) -144/841) (fma.f64 3 x 12/29))
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29))
(/.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))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -1728/24389) (-.f64 (+.f64 (.f64 (.f64 x x) 9) 144/841) (.f64 x -36/29)))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (+.f64 (fma.f64 x (.f64 9 x) 144/841) (.f64 x 36/29)))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))
(pow.f64 (fma.f64 x 3 -12/29) 1)
(fma.f64 3 x -12/29)
(pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)
(fma.f64 3 x -12/29)
(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)
(fma.f64 3 x -12/29)
(pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)
(fma.f64 3 x -12/29)
(sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))
(fma.f64 3 x -12/29)
(log.f64 (exp.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 -12/29))))
(fma.f64 3 x -12/29)
(cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))
(fma.f64 3 x -12/29)
(expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(exp.f64 (log.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1))
(fma.f64 3 x -12/29)
(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)

eval74.0ms (1.4%)

Compiler: Compiled 3393 to 2506 computations (26.1% saved)

prune41.0ms (0.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	239	10	249
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	240	12	252

Error

0.01%

Counts

252 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	2.11%	(pow.f64 (cbrt.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y)) 3)
▶	27.07%	(/.f64 (.f64 (.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29))
	0.4%	(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))
✓	0.35%	(*.f64 (fma.f64 x 3 -12/29) y)
	30.81%	(.f64 (/.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) (+.f64 (.f64 x x) (-.f64 16/841 (.f64 x -4/29)))) y)
▶	0.29%	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.43%	(.f64 (+.f64 x -4/29) (.f64 3 y))
	49.06%	(.f64 (.f64 3 x) y)
▶	49.12%	(.f64 x (.f64 y 3))
▶	0.49%	(.f64 3 (.f64 y (-.f64 x 4/29)))
	49.12%	(.f64 3 (.f64 y x))
▶	49.16%	(*.f64 -12/29 y)

Compiler

Compiled 221 to 169 computations (23.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (*.f64 3 x) 12/29)
✓	0.29%	(.f64 (-.f64 (.f64 3 x) 12/29) y)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series3.0ms (0.1%)

Counts

2 → 15

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (-.f64 (.f64 3 x) 12/29) y)
0.0ms	y	@	0	(.f64 (-.f64 (.f64 3 x) 12/29) y)
0.0ms	x	@	inf	(.f64 (-.f64 (.f64 3 x) 12/29) y)
0.0ms	x	@	0	(.f64 (-.f64 (.f64 3 x) 12/29) y)
0.0ms	y	@	inf	(.f64 (-.f64 (.f64 3 x) 12/29) y)

rewrite68.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1924×	`add-sqr-sqrt`
1892×	`*-un-lft-identity`
1776×	`add-cube-cbrt`
1758×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	194	24
2	2329	24

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(-.f64 (*.f64 3 x) 12/29)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 3 x)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) y) (*.f64 -12/29 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 3 x -12/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (*.f64 9 (*.f64 x x)) -144/841)) (fma.f64 3 x 12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) y) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 3 x -12/29) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 3 x -12/29) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 3 x -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 3 x -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 3 x -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 3 x -12/29) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 3 x -12/29) y)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x -12/29)) (sqrt.f64 (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x -12/29)) (pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 2) (cbrt.f64 (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) (/.f64 1 (fma.f64 3 x 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) (/.f64 1 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (*.f64 9 (*.f64 x x)) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))) (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) (fma.f64 3 x 12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) (+.f64 (*.f64 9 (*.f64 x x)) (-.f64 144/841 (*.f64 (*.f64 3 x) -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841)) (neg.f64 (fma.f64 3 x 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389)) (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 x -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3 x -12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) -12/29)))))

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1422×	`associate-+r+`
1344×	`associate-+l+`
832×	`associate-/l*`
684×	`unswap-sqr`
420×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	132	1240
1	296	1152
2	1090	1152
3	3891	1152

Stop Event

1×	node limit

Counts

68 → 73

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))
-12/29
(*.f64 3 x)
(*.f64 3 x)
(+.f64 (.f64 y (.f64 3 x)) (*.f64 y -12/29))
(+.f64 (.f64 (.f64 3 x) y) (*.f64 -12/29 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 3 x -12/29) y))) 1)
(/.f64 (.f64 y (+.f64 (.f64 9 (*.f64 x x)) -144/841)) (fma.f64 3 x 12/29))
(/.f64 (.f64 y (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389)) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))
(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
(/.f64 (.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) y) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))
(pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 3 x -12/29) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 3 x -12/29) y)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 2))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 3 x -12/29)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 3 x -12/29) y))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 3 x -12/29) y)))
(exp.f64 (log.f64 (*.f64 (fma.f64 3 x -12/29) y)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 3 x -12/29) y)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 3 x -12/29) y)))
(+.f64 (*.f64 3 x) -12/29)
(+.f64 -12/29 (*.f64 3 x))
(*.f64 (fma.f64 3 x -12/29) 1)
(*.f64 1 (fma.f64 3 x -12/29))
(*.f64 (sqrt.f64 (fma.f64 3 x -12/29)) (sqrt.f64 (fma.f64 3 x -12/29)))
(*.f64 (cbrt.f64 (fma.f64 3 x -12/29)) (pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 2) (cbrt.f64 (fma.f64 3 x -12/29)))
(.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) (/.f64 1 (fma.f64 3 x 12/29)))
(.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) (/.f64 1 (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (*.f64 x 36/29)))))
(/.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (.f64 x x)) -144/841)))
(/.f64 1 (/.f64 (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (.f64 x 36/29))) (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389)))
(/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (fma.f64 3 x 12/29))
(/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))
(/.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (.f64 x 36/29))))
(/.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) (+.f64 (.f64 9 (.f64 x x)) (-.f64 144/841 (.f64 (*.f64 3 x) -12/29))))
(/.f64 (neg.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841)) (neg.f64 (fma.f64 3 x 12/29)))
(/.f64 (neg.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389)) (neg.f64 (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (.f64 x 36/29)))))
(pow.f64 (fma.f64 3 x -12/29) 1)
(pow.f64 (sqrt.f64 (fma.f64 3 x -12/29)) 2)
(pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 3)
(pow.f64 (pow.f64 (fma.f64 3 x -12/29) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 3 x -12/29) 2))
(log.f64 (exp.f64 (fma.f64 3 x -12/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 x -12/29))))
(cbrt.f64 (pow.f64 (fma.f64 3 x -12/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 3 x -12/29)))
(exp.f64 (log.f64 (fma.f64 3 x -12/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 3 x -12/29)) 1))
(log1p.f64 (expm1.f64 (fma.f64 3 x -12/29)))
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(fma.f64 1 (*.f64 3 x) -12/29)
(fma.f64 (sqrt.f64 (.f64 3 x)) (sqrt.f64 (.f64 3 x)) -12/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 2) (cbrt.f64 (.f64 3 x)) -12/29)

Outputs
(*.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 y (fma.f64 3 x -12/29))
(+.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 x (.f64 y 3))
(+.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 y (fma.f64 3 x -12/29))
(+.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 x (.f64 y 3))
(+.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 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
-12/29
(*.f64 3 x)
(*.f64 3 x)
(+.f64 (.f64 y (.f64 3 x)) (*.f64 y -12/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (.f64 3 x) y) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 3 x -12/29) y))) 1)
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (.f64 y (+.f64 (.f64 9 (*.f64 x x)) -144/841)) (fma.f64 3 x 12/29))
(/.f64 (fma.f64 9 (*.f64 x x) -144/841) (/.f64 (fma.f64 3 x 12/29) y))
(.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (.f64 x x) -144/841))
(.f64 (fma.f64 x (.f64 x 9) -144/841) (/.f64 y (fma.f64 3 x 12/29)))
(/.f64 (.f64 y (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389)) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))
(/.f64 y (/.f64 (fma.f64 9 (.f64 x x) (+.f64 144/841 (.f64 x 36/29))) (fma.f64 27 (pow.f64 x 3) -1728/24389)))
(/.f64 y (/.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841)) (fma.f64 27 (pow.f64 x 3) -1728/24389)))
(.f64 y (/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (.f64 x 9) 144/841))))
(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
(/.f64 (fma.f64 9 (*.f64 x x) -144/841) (/.f64 (fma.f64 3 x 12/29) y))
(.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (.f64 x x) -144/841))
(.f64 (fma.f64 x (.f64 x 9) -144/841) (/.f64 y (fma.f64 3 x 12/29)))
(/.f64 (.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) y) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))
(/.f64 y (/.f64 (fma.f64 9 (.f64 x x) (+.f64 144/841 (.f64 x 36/29))) (fma.f64 27 (pow.f64 x 3) -1728/24389)))
(/.f64 y (/.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841)) (fma.f64 27 (pow.f64 x 3) -1728/24389)))
(.f64 y (/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (.f64 x 9) 144/841))))
(pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 1)
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 3 x -12/29) y)) 2)
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 3 x -12/29) y)) 3)
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 3) 1/3)
(*.f64 y (fma.f64 3 x -12/29))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 2))
(*.f64 y (fma.f64 3 x -12/29))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 3 x -12/29)))
(*.f64 y (fma.f64 3 x -12/29))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 3 x -12/29) y))))
(*.f64 y (fma.f64 3 x -12/29))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 3))
(*.f64 y (fma.f64 3 x -12/29))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 3 x -12/29) y)))
(*.f64 y (fma.f64 3 x -12/29))
(exp.f64 (log.f64 (*.f64 (fma.f64 3 x -12/29) y)))
(*.f64 y (fma.f64 3 x -12/29))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 3 x -12/29) y)) 1))
(*.f64 y (fma.f64 3 x -12/29))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 3 x -12/29) y)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (*.f64 3 x) -12/29)
(fma.f64 3 x -12/29)
(+.f64 -12/29 (*.f64 3 x))
(fma.f64 3 x -12/29)
(*.f64 (fma.f64 3 x -12/29) 1)
(fma.f64 3 x -12/29)
(*.f64 1 (fma.f64 3 x -12/29))
(fma.f64 3 x -12/29)
(*.f64 (sqrt.f64 (fma.f64 3 x -12/29)) (sqrt.f64 (fma.f64 3 x -12/29)))
(fma.f64 3 x -12/29)
(*.f64 (cbrt.f64 (fma.f64 3 x -12/29)) (pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 2))
(fma.f64 3 x -12/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 2) (cbrt.f64 (fma.f64 3 x -12/29)))
(fma.f64 3 x -12/29)
(.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) (/.f64 1 (fma.f64 3 x 12/29)))
(.f64 (fma.f64 9 (.f64 x x) -144/841) (/.f64 1 (fma.f64 3 x 12/29)))
(/.f64 (fma.f64 9 (*.f64 x x) -144/841) (fma.f64 3 x 12/29))
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29))
(.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) (/.f64 1 (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (*.f64 x 36/29)))))
(.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (/.f64 1 (fma.f64 9 (.f64 x x) (+.f64 144/841 (*.f64 x 36/29)))))
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841)))
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841)))
(/.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (.f64 x x)) -144/841)))
(.f64 (fma.f64 9 (.f64 x x) -144/841) (/.f64 1 (fma.f64 3 x 12/29)))
(/.f64 (fma.f64 9 (*.f64 x x) -144/841) (fma.f64 3 x 12/29))
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29))
(/.f64 1 (/.f64 (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (.f64 x 36/29))) (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389)))
(.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (/.f64 1 (fma.f64 9 (.f64 x x) (+.f64 144/841 (*.f64 x 36/29)))))
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841)))
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841)))
(/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (fma.f64 3 x 12/29))
(.f64 (fma.f64 9 (.f64 x x) -144/841) (/.f64 1 (fma.f64 3 x 12/29)))
(/.f64 (fma.f64 9 (*.f64 x x) -144/841) (fma.f64 3 x 12/29))
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29))
(/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))
(.f64 (fma.f64 9 (.f64 x x) -144/841) (/.f64 1 (fma.f64 3 x 12/29)))
(/.f64 (fma.f64 9 (*.f64 x x) -144/841) (fma.f64 3 x 12/29))
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29))
(/.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (.f64 x 36/29))))
(.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (/.f64 1 (fma.f64 9 (.f64 x x) (+.f64 144/841 (*.f64 x 36/29)))))
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841)))
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841)))
(/.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) (+.f64 (.f64 9 (.f64 x x)) (-.f64 144/841 (.f64 (*.f64 3 x) -12/29))))
(.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (/.f64 1 (fma.f64 9 (.f64 x x) (+.f64 144/841 (*.f64 x 36/29)))))
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841)))
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841)))
(/.f64 (neg.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841)) (neg.f64 (fma.f64 3 x 12/29)))
(.f64 (fma.f64 9 (.f64 x x) -144/841) (/.f64 1 (fma.f64 3 x 12/29)))
(/.f64 (fma.f64 9 (*.f64 x x) -144/841) (fma.f64 3 x 12/29))
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29))
(/.f64 (neg.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389)) (neg.f64 (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (.f64 x 36/29)))))
(.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (/.f64 1 (fma.f64 9 (.f64 x x) (+.f64 144/841 (*.f64 x 36/29)))))
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841)))
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841)))
(pow.f64 (fma.f64 3 x -12/29) 1)
(fma.f64 3 x -12/29)
(pow.f64 (sqrt.f64 (fma.f64 3 x -12/29)) 2)
(fma.f64 3 x -12/29)
(pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 3)
(fma.f64 3 x -12/29)
(pow.f64 (pow.f64 (fma.f64 3 x -12/29) 3) 1/3)
(fma.f64 3 x -12/29)
(sqrt.f64 (pow.f64 (fma.f64 3 x -12/29) 2))
(fma.f64 3 x -12/29)
(log.f64 (exp.f64 (fma.f64 3 x -12/29)))
(fma.f64 3 x -12/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 x -12/29))))
(fma.f64 3 x -12/29)
(cbrt.f64 (pow.f64 (fma.f64 3 x -12/29) 3))
(fma.f64 3 x -12/29)
(expm1.f64 (log1p.f64 (fma.f64 3 x -12/29)))
(fma.f64 3 x -12/29)
(exp.f64 (log.f64 (fma.f64 3 x -12/29)))
(fma.f64 3 x -12/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 3 x -12/29)) 1))
(fma.f64 3 x -12/29)
(log1p.f64 (expm1.f64 (fma.f64 3 x -12/29)))
(fma.f64 3 x -12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(fma.f64 3 x -12/29)
(fma.f64 1 (*.f64 3 x) -12/29)
(fma.f64 3 x -12/29)
(fma.f64 (sqrt.f64 (.f64 3 x)) (sqrt.f64 (.f64 3 x)) -12/29)
(fma.f64 3 x -12/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 2) (cbrt.f64 (.f64 3 x)) -12/29)
(fma.f64 3 x -12/29)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2%	(*.f64 -12/29 y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(*.f64 -12/29 y)
0.0ms	y	@	-inf	(*.f64 -12/29 y)
0.0ms	y	@	0	(*.f64 -12/29 y)

rewrite49.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`associate-l`
904×	`add-sqr-sqrt`
884×	`*-un-lft-identity`
842×	`pow1`
828×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	7
2	1112	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 -12/29 y)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -12/29 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -12/29 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -12/29 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -12/29 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -12/29 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 144/841 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -12/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -12/29 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -12/29 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -12/29 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -12/29 y)))))))

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

846×	`log-prod`
814×	`+-commutative`
770×	`associate-+r-`
696×	`fma-def`
670×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	143
1	83	77
2	260	77
3	1802	77
4	4058	77
5	6514	77

Stop Event

1×	node limit

Counts

11 → 13

Calls

Call 1

Inputs
(-.f64 (+.f64 (*.f64 -12/29 y) 1) 1)
(pow.f64 (*.f64 -12/29 y) 1)
(pow.f64 (sqrt.f64 (*.f64 -12/29 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 -12/29 y)) 3)
(pow.f64 (pow.f64 (*.f64 -12/29 y) 3) 1/3)
(sqrt.f64 (.f64 144/841 (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 -12/29) y))
(cbrt.f64 (pow.f64 (*.f64 -12/29 y) 3))
(expm1.f64 (log1p.f64 (*.f64 -12/29 y)))
(exp.f64 (log.f64 (*.f64 -12/29 y)))
(log1p.f64 (expm1.f64 (*.f64 -12/29 y)))

Outputs
(-.f64 (+.f64 (*.f64 -12/29 y) 1) 1)
(+.f64 (*.f64 -12/29 y) 0)
(*.f64 -12/29 y)
(pow.f64 (*.f64 -12/29 y) 1)
(+.f64 (*.f64 -12/29 y) 0)
(*.f64 -12/29 y)
(pow.f64 (sqrt.f64 (*.f64 -12/29 y)) 2)
(+.f64 (*.f64 -12/29 y) 0)
(*.f64 -12/29 y)
(pow.f64 (cbrt.f64 (*.f64 -12/29 y)) 3)
(+.f64 (*.f64 -12/29 y) 0)
(*.f64 -12/29 y)
(pow.f64 (pow.f64 (*.f64 -12/29 y) 3) 1/3)
(+.f64 (*.f64 -12/29 y) 0)
(*.f64 -12/29 y)
(sqrt.f64 (.f64 144/841 (.f64 y y)))
(+.f64 (*.f64 -12/29 y) 0)
(*.f64 -12/29 y)
(log.f64 (pow.f64 (exp.f64 -12/29) y))
(+.f64 (*.f64 -12/29 y) 0)
(*.f64 -12/29 y)
(cbrt.f64 (pow.f64 (*.f64 -12/29 y) 3))
(+.f64 (*.f64 -12/29 y) 0)
(*.f64 -12/29 y)
(expm1.f64 (log1p.f64 (*.f64 -12/29 y)))
(+.f64 (*.f64 -12/29 y) 0)
(*.f64 -12/29 y)
(exp.f64 (log.f64 (*.f64 -12/29 y)))
(+.f64 (*.f64 -12/29 y) 0)
(*.f64 -12/29 y)
(log1p.f64 (expm1.f64 (*.f64 -12/29 y)))
(+.f64 (*.f64 -12/29 y) 0)
(*.f64 -12/29 y)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.29%	(.f64 x (.f64 y 3))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 x (.f64 y 3))
0.0ms	x	@	0	(.f64 x (.f64 y 3))
0.0ms	x	@	inf	(.f64 x (.f64 y 3))
0.0ms	y	@	inf	(.f64 x (.f64 y 3))
0.0ms	y	@	-inf	(.f64 x (.f64 y 3))

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`add-sqr-sqrt`
1308×	`*-un-lft-identity`
1214×	`add-cube-cbrt`
1196×	`add-cbrt-cube`
1182×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1637	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 x (.f64 y 3))

Outputs

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

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

984×	`*-commutative`
964×	`log-prod`
896×	`associate-r`
800×	`associate-l`
762×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	455
1	87	455
2	336	455
3	2306	455
4	6480	455

Stop Event

1×	node limit

Counts

35 → 12

Calls

Call 1

Inputs
(.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 (+.f64 1 (.f64 x (.f64 y 3))) 1)
(pow.f64 (.f64 x (.f64 y 3)) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 y 3))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 y 3))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 y 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 y 3)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 y 3)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 y 3))))
(exp.f64 (log.f64 (.f64 x (.f64 y 3))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 y 3))))

Outputs
(.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 (+.f64 1 (.f64 x (.f64 y 3))) 1)
(.f64 3 (.f64 y x))
(pow.f64 (.f64 x (.f64 y 3)) 1)
(.f64 3 (.f64 y x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 y 3))) 2)
(.f64 3 (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 y 3))) 3)
(.f64 3 (.f64 y x))
(pow.f64 (pow.f64 (.f64 x (.f64 y 3)) 3) 1/3)
(.f64 3 (.f64 y x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 y 3)) 2))
(.f64 3 (.f64 y x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))
(.f64 3 (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 y 3)) 3))
(.f64 3 (.f64 y x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 y 3))))
(.f64 3 (.f64 y x))
(exp.f64 (log.f64 (.f64 x (.f64 y 3))))
(.f64 3 (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 y 3))))
(.f64 3 (.f64 y x))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.11%	(*.f64 y (-.f64 x 4/29))
✓	0.49%	(.f64 3 (.f64 y (-.f64 x 4/29)))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(*.f64 y (-.f64 x 4/29))
0.0ms	x	@	-inf	(*.f64 y (-.f64 x 4/29))
0.0ms	x	@	0	(.f64 3 (.f64 y (-.f64 x 4/29)))
0.0ms	y	@	inf	(.f64 3 (.f64 y (-.f64 x 4/29)))
0.0ms	y	@	0	(.f64 3 (.f64 y (-.f64 x 4/29)))

rewrite61.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1954×	`add-sqr-sqrt`
1924×	`*-un-lft-identity`
1806×	`add-cube-cbrt`
1788×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	194	32
2	2354	32

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(.f64 3 (.f64 y (-.f64 x 4/29)))
(*.f64 y (-.f64 x 4/29))

Outputs

((#(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 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) 1)))) (#(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 /.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 pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 -4/29 y))))) (#(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 y (fma.f64 x x -16/841)) (+.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 (fma.f64 x x -16/841) y) (+.f64 x 4/29))))) (#(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 pow.f64 (*.f64 y (+.f64 x -4/29)) 1)))) (#(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 pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -4/29))) 3)))) (#(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 sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) y))))) (#(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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -4/29))))))))

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

808×	`distribute-rgt-out`
772×	`distribute-lft-in`
758×	`distribute-rgt-in`
702×	`associate--r+`
586×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	1050
1	243	1038
2	811	942
3	3883	942
4	6044	942

Stop Event

1×	node limit

Counts

60 → 61

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 -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))
(+.f64 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))
(+.f64 (.f64 x (.f64 3 y)) (.f64 -4/29 (.f64 3 y)))
(-.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 y (+.f64 x -4/29))))) 1)
(/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 1)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 2)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 3)
(pow.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 y (+.f64 x -4/29)) 2) 9))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) y) 3))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 y (+.f64 x -4/29))))))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 3))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(exp.f64 (log.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(exp.f64 (.f64 (log.f64 (.f64 3 (*.f64 y (+.f64 x -4/29)))) 1))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(+.f64 (.f64 y x) (.f64 y -4/29))
(+.f64 (.f64 x y) (.f64 -4/29 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))) 1)
(/.f64 (*.f64 y (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 (*.f64 (fma.f64 x x -16/841) y) (+.f64 x 4/29))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -64/24389) y) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(pow.f64 (*.f64 y (+.f64 x -4/29)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -4/29))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -4/29))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -4/29)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -4/29))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x -4/29))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -4/29))))

Outputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.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 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.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 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.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 y (+.f64 x -4/29))
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 x (.f64 3 y)) (.f64 -4/29 (.f64 3 y)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 y (+.f64 x -4/29))))) 1)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (*.f64 y 3) (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))
(/.f64 y (/.f64 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) 3))
(*.f64 (fma.f64 x x -16/841) (/.f64 y (/.f64 (+.f64 x 4/29) 3)))
(/.f64 (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (.f64 3 (.f64 y (+.f64 (pow.f64 x 3) -64/24389))) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(.f64 (/.f64 (.f64 y 3) (fma.f64 x x (fma.f64 x 4/29 16/841))) (+.f64 (pow.f64 x 3) -64/24389))
(*.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 y (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) 3)))
(.f64 (+.f64 (pow.f64 x 3) -64/24389) (.f64 (/.f64 y (fma.f64 x x (fma.f64 x 4/29 16/841))) 3))
(pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 1)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 2)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 3)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 3) 1/3)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(sqrt.f64 (.f64 (pow.f64 (.f64 y (+.f64 x -4/29)) 2) 9))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) y) 3))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 y (+.f64 x -4/29))))))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 3))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(exp.f64 (log.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(exp.f64 (.f64 (log.f64 (.f64 3 (*.f64 y (+.f64 x -4/29)))) 1))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 y x) (.f64 y -4/29))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 x y) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))) 1)
(*.f64 y (+.f64 x -4/29))
(/.f64 (*.f64 y (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))
(*.f64 y (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)))
(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) y))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 4/29 16/841))) (+.f64 (pow.f64 x 3) -64/24389))
(*.f64 y (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (fma.f64 x 4/29 16/841))))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (fma.f64 x 4/29 16/841)))
(/.f64 (*.f64 (fma.f64 x x -16/841) y) (+.f64 x 4/29))
(/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))
(*.f64 y (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)))
(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) y))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -64/24389) y) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 4/29 16/841))) (+.f64 (pow.f64 x 3) -64/24389))
(*.f64 y (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (fma.f64 x 4/29 16/841))))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (fma.f64 x 4/29 16/841)))
(pow.f64 (*.f64 y (+.f64 x -4/29)) 1)
(*.f64 y (+.f64 x -4/29))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -4/29))) 2)
(*.f64 y (+.f64 x -4/29))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -4/29))) 3)
(*.f64 y (+.f64 x -4/29))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 3) 1/3)
(*.f64 y (+.f64 x -4/29))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 2))
(*.f64 y (+.f64 x -4/29))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) y))
(*.f64 y (+.f64 x -4/29))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -4/29)))))
(*.f64 y (+.f64 x -4/29))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 3))
(*.f64 y (+.f64 x -4/29))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29))))
(*.f64 y (+.f64 x -4/29))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -4/29))))
(*.f64 y (+.f64 x -4/29))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x -4/29))) 1))
(*.f64 y (+.f64 x -4/29))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -4/29))))
(*.f64 y (+.f64 x -4/29))

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(fma.f64 x x -16/841)
✓	0.89%	(*.f64 3 (fma.f64 x x -16/841))
✓	7.16%	(.f64 (.f64 3 (fma.f64 x x -16/841)) y)
✓	18.31%	(/.f64 (.f64 (.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29))

Compiler

Compiled 40 to 26 computations (35% saved)

series8.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 (.f64 3 (fma.f64 x x -16/841)) y)
1.0ms	y	@	0	(/.f64 (.f64 (.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29))
1.0ms	x	@	0	(/.f64 (.f64 (.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29))
1.0ms	x	@	-inf	(/.f64 (.f64 (.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29))
1.0ms	y	@	inf	(/.f64 (.f64 (.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29))

rewrite84.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`associate-/r*`
1690×	`associate-*r/`
1448×	`associate-*l/`
282×	`add-sqr-sqrt`
270×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	78
1	280	78
2	3618	64

Stop Event

1×	node limit

Counts

4 → 131

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29))
(.f64 (.f64 3 (fma.f64 x x -16/841)) y)
(*.f64 3 (fma.f64 x x -16/841))
(fma.f64 x x -16/841)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 y (+.f64 x -4/29))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.f64 (.f64 (fma.f64 x x -16/841) y) (/.f64 -1 (-.f64 -4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.f64 y (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 (fma.f64 x x -16/841)) (/.f64 y (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 (fma.f64 x x -16/841)) (/.f64 1 (/.f64 (+.f64 x 4/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 (.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y)) (/.f64 -1 (-.f64 -4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 3 (.f64 y (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) (sqrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) (.f64 (sqrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) (/.f64 -1 (-.f64 -4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) (pow.f64 (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 2) (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) 2) (.f64 (cbrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) (/.f64 -1 (-.f64 -4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (-.f64 -4/29 x)) (.f64 3 (.f64 (fma.f64 x x -16/841) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -3 (.f64 (fma.f64 x x -16/841) y)) (/.f64 1 (-.f64 -4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 x 4/29))) (/.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y)) (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y)) (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (sqrt.f64 (+.f64 x 4/29))) (/.f64 (.f64 3 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29)) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y)) (fma.f64 x x -16/841)) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y)) (+.f64 64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 3 (sqrt.f64 (+.f64 x 4/29))) (/.f64 (.f64 (fma.f64 x x -16/841) y) (sqrt.f64 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(+.f64 x -4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (.f64 y (+.f64 x -4/29))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y)) (-.f64 -4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 y (+.f64 x -4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (*.f64 y (+.f64 x -4/29)))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 x x)) -48/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -48/841 (.f64 3 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -48/841 (.f64 (.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 3) -48/841)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (fma.f64 x x -16/841)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (+.f64 16/841 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (-.f64 (.f64 x x) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (.f64 x x) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (.f64 x x) 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) 3) (+.f64 16/841 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) 3) (-.f64 (.f64 x x) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) 3) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (.f64 x x) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) 3) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (.f64 x x) 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (fma.f64 x x -16/841)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (fma.f64 x x -16/841))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (fma.f64 x x -16/841))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (fma.f64 x x -16/841)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9 (pow.f64 (fma.f64 x x -16/841) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (fma.f64 x x -16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (fma.f64 x x -16/841)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (fma.f64 x x -16/841))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (fma.f64 x x -16/841))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -16/841 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -16/841 (.f64 (.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 1) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x x) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x -16/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x x -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x x -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2) (cbrt.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) (+.f64 16/841 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) (-.f64 (.f64 x x) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (.f64 x x) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (.f64 x x) 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (+.f64 16/841 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (-.f64 (.f64 x x) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (.f64 x x) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (.f64 x x) 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) 1) (+.f64 16/841 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) 1) (-.f64 (.f64 x x) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) 1) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (.f64 x x) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) 1) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (.f64 x x) 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -16/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -16/841)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -16/841) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -16/841) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -16/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x -16/841)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -16/841)))))))

simplify86.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-/r/`
1290×	`associate-/l/`
618×	`associate-l`
596×	`associate-r`
466×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	5591
1	801	5163
2	4080	4895

Stop Event

1×	node limit

Counts

203 → 198

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 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 -48/841 y)
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
-48/841
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(*.f64 3 (pow.f64 x 2))
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(*.f64 3 (pow.f64 x 2))
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
-16/841
(-.f64 (pow.f64 x 2) 16/841)
(-.f64 (pow.f64 x 2) 16/841)
(-.f64 (pow.f64 x 2) 16/841)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 16/841)
(-.f64 (pow.f64 x 2) 16/841)
(-.f64 (pow.f64 x 2) 16/841)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 16/841)
(-.f64 (pow.f64 x 2) 16/841)
(-.f64 (pow.f64 x 2) 16/841)
(-.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 y (+.f64 x -4/29))))) 1)
(.f64 3 (.f64 (*.f64 (fma.f64 x x -16/841) y) (/.f64 -1 (-.f64 -4/29 x))))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 (.f64 3 (fma.f64 x x -16/841)) (/.f64 y (+.f64 x 4/29)))
(.f64 (.f64 3 (fma.f64 x x -16/841)) (/.f64 1 (/.f64 (+.f64 x 4/29) y)))
(.f64 y (/.f64 (.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29)))
(.f64 (.f64 3 (*.f64 (fma.f64 x x -16/841) y)) (/.f64 -1 (-.f64 -4/29 x)))
(.f64 (.f64 3 (*.f64 y (+.f64 x -4/29))) 1)
(.f64 1 (.f64 3 (*.f64 y (+.f64 x -4/29))))
(.f64 (sqrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) (sqrt.f64 (.f64 3 (*.f64 y (+.f64 x -4/29)))))
(.f64 (sqrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) (.f64 (sqrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) (/.f64 -1 (-.f64 -4/29 x))))
(.f64 (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) (pow.f64 (cbrt.f64 (.f64 3 (*.f64 y (+.f64 x -4/29)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 2) (cbrt.f64 (.f64 3 (*.f64 y (+.f64 x -4/29)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) 2) (.f64 (cbrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) (/.f64 -1 (-.f64 -4/29 x))))
(.f64 (/.f64 -1 (-.f64 -4/29 x)) (.f64 3 (*.f64 (fma.f64 x x -16/841) y)))
(.f64 (.f64 -3 (*.f64 (fma.f64 x x -16/841) y)) (/.f64 1 (-.f64 -4/29 x)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x 4/29))) (/.f64 (.f64 3 (*.f64 (fma.f64 x x -16/841) y)) (sqrt.f64 (+.f64 x 4/29))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 (.f64 3 (*.f64 (fma.f64 x x -16/841) y)) (cbrt.f64 (+.f64 x 4/29))))
(.f64 (/.f64 y (sqrt.f64 (+.f64 x 4/29))) (/.f64 (.f64 3 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))))
(.f64 (/.f64 (.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29)) y)
(.f64 (/.f64 (.f64 3 (*.f64 (fma.f64 x x -16/841) y)) (fma.f64 x x -16/841)) (+.f64 x -4/29))
(.f64 (/.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y)) (+.f64 64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (.f64 x 4/29))))
(.f64 (/.f64 3 (sqrt.f64 (+.f64 x 4/29))) (/.f64 (.f64 (fma.f64 x x -16/841) y) (sqrt.f64 (+.f64 x 4/29))))
(.f64 (/.f64 3 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 (.f64 (fma.f64 x x -16/841) y) (cbrt.f64 (+.f64 x 4/29))))
(.f64 (/.f64 (.f64 3 (fma.f64 x x -16/841)) 1) (/.f64 y (+.f64 x 4/29)))
(.f64 (/.f64 (.f64 3 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))) (/.f64 y (sqrt.f64 (+.f64 x 4/29))))
(.f64 (/.f64 (.f64 3 (fma.f64 x x -16/841)) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 y (cbrt.f64 (+.f64 x 4/29))))
(.f64 (/.f64 y 1) (/.f64 (.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29)))
(.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 (.f64 3 (fma.f64 x x -16/841)) (cbrt.f64 (+.f64 x 4/29))))
(.f64 (/.f64 (sqrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) 1) (/.f64 (sqrt.f64 (.f64 3 (*.f64 (fma.f64 x x -16/841) y))) (+.f64 x 4/29)))
(.f64 (/.f64 (sqrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 (sqrt.f64 (.f64 3 (*.f64 (fma.f64 x x -16/841) y))) (cbrt.f64 (+.f64 x 4/29))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) 2) 1) (/.f64 (cbrt.f64 (.f64 3 (*.f64 (fma.f64 x x -16/841) y))) (+.f64 x 4/29)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) 2) (sqrt.f64 (+.f64 x 4/29))) (/.f64 (cbrt.f64 (.f64 3 (*.f64 (fma.f64 x x -16/841) y))) (sqrt.f64 (+.f64 x 4/29))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) 2) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (cbrt.f64 (.f64 3 (*.f64 y (+.f64 x -4/29)))))
(pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 1)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 2)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 3)
(pow.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 3) 1/3)
(pow.f64 (/.f64 1/3 (*.f64 y (+.f64 x -4/29))) -1)
(neg.f64 (/.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y)) (-.f64 -4/29 x)))
(sqrt.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 2))
(log.f64 (exp.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 y (+.f64 x -4/29))))))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 3))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(exp.f64 (log.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(exp.f64 (.f64 (log.f64 (.f64 3 (*.f64 y (+.f64 x -4/29)))) 1))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y)))) 1)
(/.f64 (.f64 (.f64 y 3) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (+.f64 16/841 (.f64 x x)))
(/.f64 (.f64 (.f64 y 3) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (-.f64 (.f64 x x) -16/841))
(/.f64 (.f64 (.f64 y 3) (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (.f64 x x) -16/841))))
(/.f64 (.f64 (.f64 y 3) (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (.f64 x x) 16/841))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) (.f64 3 y)) (+.f64 16/841 (.f64 x x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) (.f64 3 y)) (-.f64 (.f64 x x) -16/841))
(/.f64 (.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) (.f64 3 y)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (.f64 x x) -16/841))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) (.f64 3 y)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (.f64 x x) 16/841))))
(pow.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y)) 1)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) 2)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))) 3)
(pow.f64 (pow.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 x x -16/841)) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y)))))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 (fma.f64 x x -16/841)) 3) (pow.f64 y 3)))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 3 (fma.f64 x x -16/841)) 3)))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))))
(exp.f64 (log.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))))
(exp.f64 (.f64 (log.f64 (.f64 3 (*.f64 (fma.f64 x x -16/841) y))) 1))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 (fma.f64 x x -16/841) y))))
(+.f64 (.f64 3 (.f64 x x)) -48/841)
(+.f64 -48/841 (.f64 3 (.f64 x x)))
(+.f64 -48/841 (.f64 (.f64 x x) 3))
(+.f64 (.f64 (.f64 x x) 3) -48/841)
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (fma.f64 x x -16/841)))) 1)
(/.f64 (.f64 3 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (+.f64 16/841 (*.f64 x x)))
(/.f64 (.f64 3 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (-.f64 (*.f64 x x) -16/841))
(/.f64 (.f64 3 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (*.f64 x x) -16/841))))
(/.f64 (.f64 3 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (*.f64 x x) 16/841))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) 3) (+.f64 16/841 (*.f64 x x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) 3) (-.f64 (*.f64 x x) -16/841))
(/.f64 (.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) 3) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (*.f64 x x) -16/841))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) 3) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (*.f64 x x) 16/841))))
(pow.f64 (*.f64 3 (fma.f64 x x -16/841)) 1)
(pow.f64 (sqrt.f64 (*.f64 3 (fma.f64 x x -16/841))) 2)
(pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 x x -16/841))) 3)
(pow.f64 (pow.f64 (*.f64 3 (fma.f64 x x -16/841)) 3) 1/3)
(sqrt.f64 (*.f64 9 (pow.f64 (fma.f64 x x -16/841) 2)))
(log.f64 (pow.f64 (exp.f64 3) (fma.f64 x x -16/841)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x x -16/841)))))
(cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 x x -16/841)) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (fma.f64 x x -16/841))))
(exp.f64 (log.f64 (*.f64 3 (fma.f64 x x -16/841))))
(exp.f64 (.f64 (log.f64 (.f64 3 (fma.f64 x x -16/841))) 1))
(log1p.f64 (expm1.f64 (*.f64 3 (fma.f64 x x -16/841))))
(+.f64 -16/841 (*.f64 x x))
(+.f64 -16/841 (.f64 (.f64 x x) 1))
(+.f64 (*.f64 x x) -16/841)
(+.f64 (.f64 (.f64 x x) 1) -16/841)
(-.f64 (*.f64 x x) 16/841)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -16/841))) 1)
(*.f64 (fma.f64 x x -16/841) 1)
(*.f64 1 (fma.f64 x x -16/841))
(*.f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (fma.f64 x x -16/841)))
(*.f64 (cbrt.f64 (fma.f64 x x -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2) (cbrt.f64 (fma.f64 x x -16/841)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) (+.f64 16/841 (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) (-.f64 (.f64 x x) -16/841))
(/.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (.f64 x x) -16/841))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (.f64 x x) 16/841))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (+.f64 16/841 (*.f64 x x)))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (-.f64 (*.f64 x x) -16/841))
(/.f64 (.f64 1 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (*.f64 x x) -16/841))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (*.f64 x x) 16/841))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) 1) (+.f64 16/841 (*.f64 x x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) 1) (-.f64 (*.f64 x x) -16/841))
(/.f64 (.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) 1) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (*.f64 x x) -16/841))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) 1) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (*.f64 x x) 16/841))))
(pow.f64 (fma.f64 x x -16/841) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -16/841)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -16/841) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x x -16/841) 2))
(log.f64 (exp.f64 (fma.f64 x x -16/841)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -16/841))))
(cbrt.f64 (pow.f64 (fma.f64 x x -16/841) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -16/841)))
(exp.f64 (log.f64 (fma.f64 x x -16/841)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -16/841)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x -16/841)))

Outputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(.f64 3 (.f64 y x))
(.f64 (.f64 y 3) x)
(.f64 y (.f64 3 x))
(.f64 x (.f64 y 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(.f64 3 (.f64 y x))
(.f64 (.f64 y 3) x)
(.f64 y (.f64 3 x))
(.f64 x (.f64 y 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(*.f64 -48/841 y)
(*.f64 y -48/841)
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 3 (*.f64 x x))))
(.f64 y (fma.f64 3 (.f64 x x) -48/841))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 3 (*.f64 x x))))
(.f64 y (fma.f64 3 (.f64 x x) -48/841))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 3 (*.f64 x x))))
(.f64 y (fma.f64 3 (.f64 x x) -48/841))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 y 3) (*.f64 x x))
(.f64 y (.f64 3 (*.f64 x x)))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
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(.f64 (/.f64 (+.f64 -4096/594823321 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (.f64 x x) 256/707281))) 3)
(/.f64 (+.f64 -4096/594823321 (pow.f64 x 6)) (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)) 3))
(pow.f64 (*.f64 3 (fma.f64 x x -16/841)) 1)
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(pow.f64 (sqrt.f64 (*.f64 3 (fma.f64 x x -16/841))) 2)
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 x x -16/841))) 3)
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(pow.f64 (pow.f64 (*.f64 3 (fma.f64 x x -16/841)) 3) 1/3)
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(sqrt.f64 (*.f64 9 (pow.f64 (fma.f64 x x -16/841) 2)))
(log.f64 (pow.f64 (exp.f64 3) (fma.f64 x x -16/841)))
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x x -16/841)))))
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 x x -16/841)) 3))
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(expm1.f64 (log1p.f64 (*.f64 3 (fma.f64 x x -16/841))))
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(exp.f64 (log.f64 (*.f64 3 (fma.f64 x x -16/841))))
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(exp.f64 (.f64 (log.f64 (.f64 3 (fma.f64 x x -16/841))) 1))
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(log1p.f64 (expm1.f64 (*.f64 3 (fma.f64 x x -16/841))))
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(+.f64 -16/841 (*.f64 x x))
(fma.f64 x x -16/841)
(+.f64 -16/841 (.f64 (.f64 x x) 1))
(fma.f64 x x -16/841)
(+.f64 (*.f64 x x) -16/841)
(fma.f64 x x -16/841)
(+.f64 (.f64 (.f64 x x) 1) -16/841)
(fma.f64 x x -16/841)
(-.f64 (*.f64 x x) 16/841)
(fma.f64 x x -16/841)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -16/841))) 1)
(fma.f64 x x -16/841)
(*.f64 (fma.f64 x x -16/841) 1)
(fma.f64 x x -16/841)
(*.f64 1 (fma.f64 x x -16/841))
(fma.f64 x x -16/841)
(*.f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (fma.f64 x x -16/841)))
(fma.f64 x x -16/841)
(*.f64 (cbrt.f64 (fma.f64 x x -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2))
(fma.f64 x x -16/841)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2) (cbrt.f64 (fma.f64 x x -16/841)))
(fma.f64 x x -16/841)
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) (+.f64 16/841 (.f64 x x)))
(/.f64 (+.f64 (*.f64 x (pow.f64 x 3)) -256/707281) (fma.f64 x x 16/841))
(/.f64 (+.f64 (pow.f64 x 4) -256/707281) (fma.f64 x x 16/841))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) (-.f64 (.f64 x x) -16/841))
(/.f64 (+.f64 (*.f64 x (pow.f64 x 3)) -256/707281) (fma.f64 x x 16/841))
(/.f64 (+.f64 (pow.f64 x 4) -256/707281) (fma.f64 x x 16/841))
(/.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (.f64 x x) -16/841))))
(/.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (.f64 x (pow.f64 x 3)) 256/707281) (.f64 x (.f64 x -16/841))))
(/.f64 (+.f64 -4096/594823321 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (.f64 x x) 16/841))))
(/.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (.f64 x (pow.f64 x 3)) 256/707281) (.f64 x (.f64 x -16/841))))
(/.f64 (+.f64 -4096/594823321 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (+.f64 16/841 (*.f64 x x)))
(/.f64 (+.f64 (*.f64 x (pow.f64 x 3)) -256/707281) (fma.f64 x x 16/841))
(/.f64 (+.f64 (pow.f64 x 4) -256/707281) (fma.f64 x x 16/841))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (-.f64 (*.f64 x x) -16/841))
(/.f64 (+.f64 (*.f64 x (pow.f64 x 3)) -256/707281) (fma.f64 x x 16/841))
(/.f64 (+.f64 (pow.f64 x 4) -256/707281) (fma.f64 x x 16/841))
(/.f64 (.f64 1 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (*.f64 x x) -16/841))))
(/.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (.f64 x (pow.f64 x 3)) 256/707281) (.f64 x (.f64 x -16/841))))
(/.f64 (+.f64 -4096/594823321 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (*.f64 x x) 16/841))))
(/.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (.f64 x (pow.f64 x 3)) 256/707281) (.f64 x (.f64 x -16/841))))
(/.f64 (+.f64 -4096/594823321 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) 1) (+.f64 16/841 (*.f64 x x)))
(/.f64 (+.f64 (*.f64 x (pow.f64 x 3)) -256/707281) (fma.f64 x x 16/841))
(/.f64 (+.f64 (pow.f64 x 4) -256/707281) (fma.f64 x x 16/841))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) 1) (-.f64 (*.f64 x x) -16/841))
(/.f64 (+.f64 (*.f64 x (pow.f64 x 3)) -256/707281) (fma.f64 x x 16/841))
(/.f64 (+.f64 (pow.f64 x 4) -256/707281) (fma.f64 x x 16/841))
(/.f64 (.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) 1) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (*.f64 x x) -16/841))))
(/.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (.f64 x (pow.f64 x 3)) 256/707281) (.f64 x (.f64 x -16/841))))
(/.f64 (+.f64 -4096/594823321 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) 1) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (*.f64 x x) 16/841))))
(/.f64 (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (.f64 x (pow.f64 x 3)) 256/707281) (.f64 x (.f64 x -16/841))))
(/.f64 (+.f64 -4096/594823321 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)))
(pow.f64 (fma.f64 x x -16/841) 1)
(fma.f64 x x -16/841)
(pow.f64 (sqrt.f64 (fma.f64 x x -16/841)) 2)
(fma.f64 x x -16/841)
(pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 3)
(fma.f64 x x -16/841)
(pow.f64 (pow.f64 (fma.f64 x x -16/841) 3) 1/3)
(fma.f64 x x -16/841)
(sqrt.f64 (pow.f64 (fma.f64 x x -16/841) 2))
(fabs.f64 (fma.f64 x x -16/841))
(log.f64 (exp.f64 (fma.f64 x x -16/841)))
(fma.f64 x x -16/841)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -16/841))))
(fma.f64 x x -16/841)
(cbrt.f64 (pow.f64 (fma.f64 x x -16/841) 3))
(fma.f64 x x -16/841)
(expm1.f64 (log1p.f64 (fma.f64 x x -16/841)))
(fma.f64 x x -16/841)
(exp.f64 (log.f64 (fma.f64 x x -16/841)))
(fma.f64 x x -16/841)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -16/841)) 1))
(fma.f64 x x -16/841)
(log1p.f64 (expm1.f64 (fma.f64 x x -16/841)))
(fma.f64 x x -16/841)

eval98.0ms (1.8%)

Compiler: Compiled 5036 to 3466 computations (31.2% saved)

prune55.0ms (1%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	352	5	357
Fresh	2	3	5
Picked	1	0	1
Done	1	5	6
Total	356	13	369

Error

Counts

369 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	0.68%	(pow.f64 (/.f64 1/3 (*.f64 y (+.f64 x -4/29))) -1)
▶	75.53%	(/.f64 (.f64 (.f64 3 (*.f64 x x)) y) (+.f64 x 4/29))
	49.4%	(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
▶	0.4%	(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))
▶	21.48%	(/.f64 y (/.f64 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) 3))
✓	0.35%	(*.f64 (fma.f64 x 3 -12/29) y)
✓	0.29%	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.43%	(.f64 (+.f64 x -4/29) (.f64 3 y))
▶	49.06%	(.f64 (.f64 3 x) y)
✓	49.12%	(.f64 x (.f64 y 3))
	49.12%	(.f64 3 (.f64 y x))
▶	49.29%	(.f64 3 (.f64 y -4/29))
✓	49.16%	(*.f64 -12/29 y)

Compiler

Compiled 196 to 149 computations (24% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.05%	(/.f64 1 (+.f64 x -4/29))
✓	0.39%	(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))

Compiler

Compiled 27 to 20 computations (25.9% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (+.f64 x -4/29))
0.0ms	y	@	0	(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))
0.0ms	x	@	0	(/.f64 1 (+.f64 x -4/29))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 x -4/29))
0.0ms	x	@	-inf	(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))

rewrite83.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`associate-/r*`
1308×	`associate-/l*`
1054×	`*-commutative`
588×	`associate-/r/`
394×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	239	32
2	3164	32

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

Inputs
(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))
(/.f64 1 (+.f64 x -4/29))

Outputs

((#(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 (*.f64 (*.f64 3 y) -4/29) (*.f64 (*.f64 3 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 3 y) x)) (*.f64 1 (*.f64 (*.f64 3 y) -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 3 y) -4/29)) (*.f64 1 (*.f64 (*.f64 3 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y -1/3) 4/29) (*.f64 (/.f64 y -1/3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y -1/3) (neg.f64 x)) (*.f64 (/.f64 y -1/3) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 3 y) x) 1) (*.f64 (*.f64 (*.f64 3 y) -4/29) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 3 y) -4/29) 1) (*.f64 (*.f64 (*.f64 3 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4/29 (/.f64 y -1/3)) (*.f64 (neg.f64 x) (/.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) (/.f64 y -1/3)) (*.f64 4/29 (/.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 y (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 (*.f64 3 x) -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 y) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (*.f64 y (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) (sqrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 2) (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -4/29)) (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -4/29) (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (*.f64 3 y) (-.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify147.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1150×	`associate-/l/`
852×	`unswap-sqr`
712×	`associate-/r/`
570×	`*-commutative`
462×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	402	4857
1	1226	4221
2	4198	4207

Stop Event

1×	node limit

Counts

177 → 228

Calls

Call 1

Inputs
(.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)))
(.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 -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))
-29/4
(-.f64 (*.f64 -841/16 x) 29/4)
(-.f64 (+.f64 (.f64 -841/16 x) (.f64 -24389/64 (pow.f64 x 2))) 29/4)
(-.f64 (+.f64 (.f64 -841/16 x) (+.f64 (.f64 -707281/256 (pow.f64 x 3)) (*.f64 -24389/64 (pow.f64 x 2)))) 29/4)
(/.f64 1 x)
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 64/24389 (/.f64 1 (pow.f64 x 4))))))
(/.f64 1 x)
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 64/24389 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))
(+.f64 (.f64 (.f64 3 y) -4/29) (.f64 (.f64 3 y) x))
(+.f64 (.f64 1 (.f64 (.f64 3 y) x)) (.f64 1 (.f64 (.f64 3 y) -4/29)))
(+.f64 (.f64 1 (.f64 (.f64 3 y) -4/29)) (.f64 1 (.f64 (.f64 3 y) x)))
(+.f64 (.f64 (/.f64 y -1/3) 4/29) (.f64 (/.f64 y -1/3) (neg.f64 x)))
(+.f64 (.f64 (/.f64 y -1/3) (neg.f64 x)) (.f64 (/.f64 y -1/3) 4/29))
(+.f64 (.f64 (.f64 (.f64 3 y) x) 1) (.f64 (.f64 (.f64 3 y) -4/29) 1))
(+.f64 (.f64 (.f64 (.f64 3 y) -4/29) 1) (.f64 (.f64 (.f64 3 y) x) 1))
(+.f64 (.f64 4/29 (/.f64 y -1/3)) (.f64 (neg.f64 x) (/.f64 y -1/3)))
(+.f64 (.f64 (neg.f64 x) (/.f64 y -1/3)) (.f64 4/29 (/.f64 y -1/3)))
(-.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 y (+.f64 x -4/29))))) 1)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (+.f64 (.f64 3 x) -12/29))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(.f64 1 (.f64 3 (*.f64 y (+.f64 x -4/29))))
(.f64 (.f64 3 (*.f64 y (+.f64 x -4/29))) 1)
(.f64 (sqrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) (sqrt.f64 (.f64 3 (*.f64 y (+.f64 x -4/29)))))
(.f64 (sqrt.f64 (.f64 3 y)) (.f64 (sqrt.f64 (.f64 3 y)) (+.f64 x -4/29)))
(.f64 (sqrt.f64 (+.f64 x -4/29)) (.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29))))
(.f64 (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) (pow.f64 (cbrt.f64 (.f64 3 (*.f64 y (+.f64 x -4/29)))) 2))
(.f64 (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 3 y)) 2) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 2) (cbrt.f64 (.f64 3 (*.f64 y (+.f64 x -4/29)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 y)) 2) (.f64 (cbrt.f64 (.f64 3 y)) (+.f64 x -4/29)))
(.f64 (cbrt.f64 (+.f64 x -4/29)) (.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)))
(.f64 (+.f64 x -4/29) (.f64 3 y))
(.f64 -1 (.f64 (*.f64 3 y) (-.f64 4/29 x)))
(.f64 (-.f64 4/29 x) (.f64 y -3))
(*.f64 (-.f64 4/29 x) (/.f64 y -1/3))
(.f64 (.f64 y -3) (-.f64 4/29 x))
(.f64 (.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 x -4/29)))
(.f64 (.f64 (sqrt.f64 (.f64 3 y)) (+.f64 x -4/29)) (sqrt.f64 (.f64 3 y)))
(.f64 (.f64 (cbrt.f64 (.f64 3 y)) (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (.f64 3 y)) 2))
(.f64 (.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 x -4/29)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (.f64 (*.f64 3 y) (cbrt.f64 (+.f64 x -4/29))))
(.f64 (.f64 y (+.f64 x -4/29)) 3)
(.f64 (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2)) (.f64 3 (sqrt.f64 (+.f64 x -4/29))))
(.f64 (.f64 (/.f64 y 1) (cbrt.f64 (+.f64 x -4/29))) (/.f64 3 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))
(.f64 (.f64 (*.f64 3 y) (cbrt.f64 (+.f64 x -4/29))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))
(.f64 (+.f64 (.f64 3 x) -12/29) y)
(.f64 (+.f64 (.f64 3 x) -12/29) (/.f64 y 1))
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x))
(.f64 -3 (.f64 y (-.f64 4/29 x)))
(.f64 (.f64 3 (sqrt.f64 (+.f64 x -4/29))) (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2)))
(.f64 (/.f64 3 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (.f64 (/.f64 y 1) (cbrt.f64 (+.f64 x -4/29))))
(.f64 (/.f64 y 1) (+.f64 (.f64 3 x) -12/29))
(.f64 (/.f64 y (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (.f64 3 (cbrt.f64 (+.f64 x -4/29))))
(.f64 (.f64 3 (cbrt.f64 (+.f64 x -4/29))) (/.f64 y (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))
(.f64 (/.f64 (sqrt.f64 (.f64 3 y)) 1) (.f64 (/.f64 (sqrt.f64 (.f64 3 y)) -1) (-.f64 4/29 x)))
(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 3 y)) -1) (-.f64 4/29 x)) (sqrt.f64 (.f64 3 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 3 y)) -1) (-.f64 4/29 x)) (/.f64 (sqrt.f64 (.f64 3 y)) 1))
(.f64 (/.f64 (sqrt.f64 (.f64 3 y)) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (.f64 (/.f64 (sqrt.f64 (.f64 3 y)) 1) (cbrt.f64 (+.f64 x -4/29))))
(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 3 y)) 1) (cbrt.f64 (+.f64 x -4/29))) (/.f64 (sqrt.f64 (.f64 3 y)) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3 y)) 2) 1) (.f64 (/.f64 (cbrt.f64 (.f64 3 y)) 1) (+.f64 x -4/29)))
(.f64 (.f64 (/.f64 (cbrt.f64 (.f64 3 y)) 1) (+.f64 x -4/29)) (/.f64 (pow.f64 (cbrt.f64 (.f64 3 y)) 2) 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3 y)) 2) (pow.f64 (+.f64 x -4/29) -1/2)) (/.f64 (cbrt.f64 (*.f64 3 y)) (pow.f64 (+.f64 x -4/29) -1/2)))
(.f64 (/.f64 (cbrt.f64 (.f64 3 y)) (pow.f64 (+.f64 x -4/29) -1/2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (pow.f64 (+.f64 x -4/29) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3 y)) 2) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(.f64 (/.f64 (.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29))) 1) (sqrt.f64 (+.f64 x -4/29)))
(.f64 (/.f64 (/.f64 y (.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 1/3)) 1) (cbrt.f64 (+.f64 x -4/29)))
(.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 3 x) -12/29))) y)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3 y)) 2) (/.f64 1 (+.f64 x -4/29))) (cbrt.f64 (*.f64 3 y)))
(*.f64 (/.f64 3 (/.f64 (/.f64 1 (+.f64 x -4/29)) (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 3 (/.f64 1 (-.f64 4/29 x))) (neg.f64 y))
(*.f64 (/.f64 3 (/.f64 (/.f64 1 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(.f64 (/.f64 (.f64 3 y) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29)))
(.f64 (/.f64 1 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (.f64 3 y)) 2) (+.f64 x -4/29)))) (cbrt.f64 (.f64 3 y)))
(.f64 (/.f64 (.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 4/29 x)))
(.f64 (/.f64 (/.f64 y (.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 1/3)) -1) (cbrt.f64 (-.f64 4/29 x)))
(.f64 (/.f64 (.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (fma.f64 x x -16/841)) (+.f64 x -4/29))
(.f64 (/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) (-.f64 (pow.f64 x 3) -64/24389)) (+.f64 (+.f64 16/841 (.f64 x x)) (*.f64 x -4/29)))
(.f64 (/.f64 (.f64 (.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 16/841 (.f64 4/29 x)) (+.f64 16/841 (.f64 4/29 x))))) (+.f64 (fma.f64 x x -16/841) (.f64 x -4/29)))
(.f64 (/.f64 (.f64 (.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (+.f64 16/841 (.f64 4/29 x)) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 16/841 (.f64 4/29 x)) (-.f64 (+.f64 16/841 (.f64 4/29 x)) (.f64 x x)))))
(pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 1)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 2)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 3)
(pow.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 3) 1/3)
(pow.f64 (/.f64 1/3 (*.f64 y (+.f64 x -4/29))) -1)
(neg.f64 (.f64 (.f64 3 y) (-.f64 4/29 x)))
(sqrt.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) (+.f64 x -4/29)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 y (+.f64 x -4/29))))))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 3 y) 3) (/.f64 1 (pow.f64 (+.f64 x -4/29) 3))))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(exp.f64 (log.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x x -16/841)) x) (.f64 (/.f64 1 (fma.f64 x x -16/841)) 4/29))
(+.f64 (.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (.f64 x x)) (.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (.f64 4/29 x))))
(+.f64 (.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (.f64 4/29 x))) (.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (.f64 x x)))
(+.f64 (.f64 x (/.f64 1 (fma.f64 x x -16/841))) (.f64 4/29 (/.f64 1 (fma.f64 x x -16/841))))
(+.f64 (.f64 (.f64 x x) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3)))) (.f64 (+.f64 16/841 (.f64 4/29 x)) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3)))))
(+.f64 (.f64 (+.f64 16/841 (.f64 4/29 x)) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3)))) (.f64 (.f64 x x) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -4/29)))) 1)
(*.f64 1 (/.f64 1 (+.f64 x -4/29)))
(*.f64 (/.f64 1 (+.f64 x -4/29)) 1)
(*.f64 (pow.f64 (+.f64 x -4/29) -1/2) (pow.f64 (+.f64 x -4/29) -1/2))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))))
(*.f64 (+.f64 x 4/29) (/.f64 1 (fma.f64 x x -16/841)))
(.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29))) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))))
(*.f64 -1 (/.f64 1 (-.f64 4/29 x)))
(*.f64 (/.f64 1 (-.f64 4/29 x)) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))))
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (.f64 x (+.f64 x 4/29))))
(*.f64 (neg.f64 (pow.f64 (+.f64 x -4/29) -1/2)) (neg.f64 (pow.f64 (+.f64 x -4/29) -1/2)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 1) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -4/29)) -1) (pow.f64 (sqrt.f64 (+.f64 x -4/29)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) -1))
(.f64 (/.f64 (+.f64 x 4/29) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (+.f64 16/841 (*.f64 x x)))
(.f64 (/.f64 (+.f64 x 4/29) (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 16/841 (*.f64 x x)))))
(.f64 (/.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29))) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 4096/594823321)) (-.f64 (pow.f64 x 3) -64/24389))
(.f64 (/.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29))) (+.f64 -262144/14507145975869 (pow.f64 (pow.f64 x 3) 3))) (-.f64 (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 4096/594823321) (.f64 -64/24389 (pow.f64 x 3))))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x -16/841))) (neg.f64 (+.f64 x 4/29)))
(.f64 (/.f64 1 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29)))))
(.f64 (/.f64 1 (-.f64 16/841 (.f64 x x))) (-.f64 -4/29 x))
(*.f64 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (+.f64 x 4/29)))
(.f64 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29)))))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(.f64 (/.f64 -1 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (.f64 x (+.f64 x 4/29))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (-.f64 4/29 x)))) (sqrt.f64 (/.f64 1 (-.f64 4/29 x))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 4/29 x))) (cbrt.f64 (/.f64 1 (-.f64 4/29 x))))) (cbrt.f64 (/.f64 1 (-.f64 4/29 x))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 x -4/29) -1/2))) (pow.f64 (+.f64 x -4/29) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))))
(pow.f64 (/.f64 1 (+.f64 x -4/29)) 1)
(pow.f64 (pow.f64 (+.f64 x -4/29) -1/2) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 x -4/29) 3)) 1/3)
(pow.f64 (+.f64 x -4/29) -1)
(neg.f64 (/.f64 1 (-.f64 4/29 x)))
(sqrt.f64 (pow.f64 (+.f64 x -4/29) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -4/29)))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x -4/29) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -4/29))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -4/29))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -4/29))))

Outputs
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 (+.f64 x -4/29) 3))
(*.f64 y (fma.f64 3 x -12/29))
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(*.f64 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (+.f64 x 4/29)))
(.f64 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29)))))
(.f64 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (sqrt.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29)))))
(*.f64 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (sqrt.f64 (fma.f64 x (+.f64 x 4/29) 16/841)))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(/.f64 (*.f64 1 (+.f64 x 4/29)) (fma.f64 x x -16/841))
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(.f64 (/.f64 -1 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (.f64 x (+.f64 x 4/29))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (+.f64 16/841 (.f64 x 4/29)) (*.f64 x x)))
(/.f64 (fma.f64 x (+.f64 x 4/29) 16/841) (+.f64 (pow.f64 x 3) -64/24389))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -16/841))) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 x 4/29)))
(/.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29)))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 x (+.f64 x 4/29) 16/841)) 1) (.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389))))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 x (+.f64 x 4/29) 16/841)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (-.f64 4/29 x)))) (sqrt.f64 (/.f64 1 (-.f64 4/29 x))))
(/.f64 -1 (-.f64 4/29 x))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 4/29 x))) (cbrt.f64 (/.f64 1 (-.f64 4/29 x))))) (cbrt.f64 (/.f64 1 (-.f64 4/29 x))))
(/.f64 -1 (-.f64 4/29 x))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 x -4/29) -1/2))) (pow.f64 (+.f64 x -4/29) -1/2))
(/.f64 1 (+.f64 x -4/29))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (cbrt.f64 (-.f64 4/29 x)))
(pow.f64 (/.f64 1 (+.f64 x -4/29)) 1)
(/.f64 1 (+.f64 x -4/29))
(pow.f64 (pow.f64 (+.f64 x -4/29) -1/2) 2)
(/.f64 1 (+.f64 x -4/29))
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))) 3)
(/.f64 -1 (-.f64 4/29 x))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 x -4/29) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x -4/29) 3)))
(pow.f64 (+.f64 x -4/29) -1)
(/.f64 1 (+.f64 x -4/29))
(neg.f64 (/.f64 1 (-.f64 4/29 x)))
(/.f64 -1 (-.f64 4/29 x))
(sqrt.f64 (pow.f64 (+.f64 x -4/29) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -4/29))))
(/.f64 1 (+.f64 x -4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -4/29)))))
(/.f64 1 (+.f64 x -4/29))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x -4/29) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -4/29))))
(/.f64 1 (+.f64 x -4/29))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -4/29))))
(/.f64 1 (+.f64 x -4/29))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -4/29))))
(/.f64 1 (+.f64 x -4/29))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.17%	(*.f64 y -4/29)
✓	0.59%	(.f64 3 (.f64 y -4/29))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(*.f64 y -4/29)
0.0ms	y	@	-inf	(*.f64 y -4/29)
0.0ms	y	@	0	(*.f64 y -4/29)
0.0ms	y	@	0	(.f64 3 (.f64 y -4/29))
0.0ms	y	@	inf	(.f64 3 (.f64 y -4/29))

rewrite72.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`add-sqr-sqrt`
1250×	`*-un-lft-identity`
1174×	`add-cube-cbrt`
1164×	`add-cbrt-cube`
1150×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	143	14
2	1578	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 3 (.f64 y -4/29))
(*.f64 y -4/29)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (sqrt.f64 (*.f64 y -12/29)) 2)))) (#(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 (pow.f64 (*.f64 y -12/29) 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 (exp.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (*.f64 y -12/29)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y -4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y -4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/841 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y -4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -4/29)))))))

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1118×	`associate-r`
1052×	`distribute-lft-in`
1044×	`distribute-rgt-in`
1022×	`log-prod`
1008×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	322
1	134	322
2	500	322
3	3137	322

Stop Event

1×	node limit

Counts

46 → 25

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 -4/29 y)
(*.f64 -4/29 y)
(*.f64 -4/29 y)
(*.f64 -4/29 y)
(*.f64 -4/29 y)
(*.f64 -4/29 y)
(*.f64 -4/29 y)
(*.f64 -4/29 y)
(*.f64 -4/29 y)
(*.f64 -4/29 y)
(*.f64 -4/29 y)
(*.f64 -4/29 y)
(-.f64 (+.f64 1 (*.f64 y -12/29)) 1)
(pow.f64 (*.f64 y -12/29) 1)
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)
(pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y -12/29) 2))
(log.f64 (exp.f64 (*.f64 y -12/29)))
(cbrt.f64 (pow.f64 (*.f64 y -12/29) 3))
(expm1.f64 (log1p.f64 (*.f64 y -12/29)))
(exp.f64 (log.f64 (*.f64 y -12/29)))
(log1p.f64 (expm1.f64 (*.f64 y -12/29)))
(-.f64 (+.f64 1 (*.f64 y -4/29)) 1)
(pow.f64 (*.f64 y -4/29) 1)
(pow.f64 (sqrt.f64 (*.f64 y -4/29)) 2)
(pow.f64 (cbrt.f64 (*.f64 y -4/29)) 3)
(pow.f64 (pow.f64 (*.f64 y -4/29) 3) 1/3)
(sqrt.f64 (.f64 16/841 (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 -4/29) y))
(cbrt.f64 (pow.f64 (*.f64 y -4/29) 3))
(expm1.f64 (log1p.f64 (*.f64 y -4/29)))
(exp.f64 (log.f64 (*.f64 y -4/29)))
(log1p.f64 (expm1.f64 (*.f64 y -4/29)))

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 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(-.f64 (+.f64 1 (*.f64 y -12/29)) 1)
(*.f64 -12/29 y)
(pow.f64 (*.f64 y -12/29) 1)
(*.f64 -12/29 y)
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)
(*.f64 -12/29 y)
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)
(*.f64 -12/29 y)
(pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3)
(*.f64 -12/29 y)
(sqrt.f64 (pow.f64 (*.f64 y -12/29) 2))
(*.f64 -12/29 y)
(log.f64 (exp.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)
(cbrt.f64 (pow.f64 (*.f64 y -12/29) 3))
(*.f64 -12/29 y)
(expm1.f64 (log1p.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)
(exp.f64 (log.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)
(log1p.f64 (expm1.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)
(-.f64 (+.f64 1 (*.f64 y -4/29)) 1)
(*.f64 y -4/29)
(pow.f64 (*.f64 y -4/29) 1)
(*.f64 y -4/29)
(pow.f64 (sqrt.f64 (*.f64 y -4/29)) 2)
(*.f64 y -4/29)
(pow.f64 (cbrt.f64 (*.f64 y -4/29)) 3)
(*.f64 y -4/29)
(pow.f64 (pow.f64 (*.f64 y -4/29) 3) 1/3)
(*.f64 y -4/29)
(sqrt.f64 (.f64 16/841 (.f64 y y)))
(*.f64 y -4/29)
(log.f64 (pow.f64 (exp.f64 -4/29) y))
(*.f64 y -4/29)
(cbrt.f64 (pow.f64 (*.f64 y -4/29) 3))
(*.f64 y -4/29)
(expm1.f64 (log1p.f64 (*.f64 y -4/29)))
(*.f64 y -4/29)
(exp.f64 (log.f64 (*.f64 y -4/29)))
(*.f64 y -4/29)
(log1p.f64 (expm1.f64 (*.f64 y -4/29)))
(*.f64 y -4/29)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.34%	(.f64 (.f64 3 x) y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 3 x) y)
0.0ms	x	@	inf	(.f64 (.f64 3 x) y)
0.0ms	x	@	-inf	(.f64 (.f64 3 x) y)
0.0ms	y	@	-inf	(.f64 (.f64 3 x) y)
0.0ms	y	@	inf	(.f64 (.f64 3 x) y)

rewrite57.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`add-sqr-sqrt`
1308×	`*-un-lft-identity`
1214×	`add-cube-cbrt`
1196×	`add-cbrt-cube`
1182×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1637	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 3 x) y)

Outputs

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

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1166×	`*-commutative`
988×	`distribute-lft-in`
968×	`distribute-rgt-in`
942×	`associate-*r/`
942×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	455
1	86	455
2	330	455
3	2368	455
4	7162	455

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

Inputs
(.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 (+.f64 1 (.f64 3 (.f64 x y))) 1)
(pow.f64 (.f64 3 (.f64 x y)) 1)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 x y))) 2)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x y))) 3)
(pow.f64 (pow.f64 (.f64 3 (.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 3 (.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 3 x)))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 x y)) 3))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 x y))))
(exp.f64 (log.f64 (.f64 3 (.f64 x y))))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 x y))))

Outputs
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(-.f64 (+.f64 1 (.f64 3 (.f64 x y))) 1)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(pow.f64 (.f64 3 (.f64 x y)) 1)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(pow.f64 (sqrt.f64 (.f64 3 (.f64 x y))) 2)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x y))) 3)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(pow.f64 (pow.f64 (.f64 3 (.f64 x y)) 3) 1/3)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(sqrt.f64 (pow.f64 (.f64 3 (.f64 x y)) 2))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 3 x)))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 x y)) 3))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 x y))))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(exp.f64 (log.f64 (.f64 3 (.f64 x y))))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 x y))))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 x 4/29)
✓	0.27%	(.f64 3 (.f64 x x))
✓	12.11%	(.f64 (.f64 3 (*.f64 x x)) y)
✓	18.2%	(/.f64 (.f64 (.f64 3 (*.f64 x x)) y) (+.f64 x 4/29))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series34.0ms (0.6%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	y	@	inf	(/.f64 (.f64 (.f64 3 (*.f64 x x)) y) (+.f64 x 4/29))
1.0ms	y	@	0	(/.f64 (.f64 (.f64 3 (*.f64 x x)) y) (+.f64 x 4/29))
0.0ms	y	@	inf	(.f64 (.f64 3 (*.f64 x x)) y)
0.0ms	x	@	0	(.f64 (.f64 3 (*.f64 x x)) y)
0.0ms	x	@	0	(/.f64 (.f64 (.f64 3 (*.f64 x x)) y) (+.f64 x 4/29))

rewrite85.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`associate-*r/`
1282×	`associate-*l/`
518×	`associate-/r/`
462×	`associate-/l/`
446×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	70
1	242	70
2	3282	70

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 3 (*.f64 x x)) y) (+.f64 x 4/29))
(.f64 (.f64 3 (*.f64 x x)) y)
(.f64 3 (.f64 x x))
(+.f64 x 4/29)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 x (.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 x (.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x (sqrt.f64 3)) (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (.f64 x (.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (.f64 x (.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 (pow.f64 x 4) 9) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (.f64 x (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 x (.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (.f64 x (.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 3 (.f64 x x)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 3 (.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 x (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (.f64 x (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (.f64 x (.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (.f64 x (.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 33/29 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) 25/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (+.f64 x -4/29)) (/.f64 16/841 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4/29 (exp.f64 (log1p.f64 x))) 1)))) (#(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 (sqrt.f64 (+.f64 x 4/29)) (sqrt.f64 (+.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 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 64/24389 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x -4/29)) (fma.f64 x x -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29)))) (+.f64 64/24389 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x x -16/841) (-.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 (/.f64 (+.f64 64/24389 (pow.f64 x 3)) (-.f64 (pow.f64 x 4) (.f64 (-.f64 16/841 (.f64 x 4/29)) (-.f64 16/841 (.f64 x 4/29))))) (+.f64 (fma.f64 x x -16/841) (.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 64/24389 (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (-.f64 16/841 (.f64 x 4/29)) 3))) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (-.f64 16/841 (.f64 x 4/29)) (-.f64 16/841 (.f64 x 4/29))) (.f64 (.f64 x x) (-.f64 16/841 (.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 -1 (-.f64 -4/29 x)))))) (#(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 (+.f64 64/24389 (pow.f64 x 3)) (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 /.f64 (neg.f64 (fma.f64 x x -16/841)) (.f64 1 (neg.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (pow.f64 x 3))) (.f64 1 (neg.f64 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (.f64 x x)) (-.f64 4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (.f64 x x)) (.f64 1 (-.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) 256/707281) (.f64 (+.f64 x -4/29) (+.f64 (.f64 x x) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 262144/14507145975869 (pow.f64 (pow.f64 x 3) 3)) (.f64 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29))) (+.f64 (pow.f64 (.f64 x x) 3) (-.f64 4096/594823321 (.f64 (pow.f64 x 3) 64/24389)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) (.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 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) (.f64 (+.f64 x -4/29) (+.f64 (+.f64 (pow.f64 x 4) 256/707281) (.f64 (.f64 x x) 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 64/24389 (pow.f64 x 3)) 1) (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) 1) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (neg.f64 (fma.f64 x x -16/841))) (neg.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (neg.f64 (+.f64 64/24389 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 16/841 (.f64 x x))) (-.f64 4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 x 4/29)) (sqrt.f64 (+.f64 64/24389 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 x 4/29)) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (cbrt.f64 (+.f64 64/24389 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (fma.f64 x x -16/841)) 1) (neg.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 64/24389 (pow.f64 x 3))) 1) (neg.f64 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 16/841 (.f64 x x)) 1) (-.f64 4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 64/24389 (pow.f64 x 3))) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (cbrt.f64 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (fma.f64 x x -16/841)) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 4) 256/707281) (/.f64 1 (+.f64 x -4/29))) (+.f64 (.f64 x x) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) (/.f64 1 (+.f64 x -4/29))) (+.f64 (+.f64 (pow.f64 x 4) 256/707281) (.f64 (.f64 x x) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 262144/14507145975869 (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29))))) (+.f64 (pow.f64 (.f64 x x) 3) (-.f64 4096/594823321 (.f64 (pow.f64 x 3) 64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) (/.f64 1 (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 pow.f64 (+.f64 x 4/29) 1)))) (#(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 (cbrt.f64 (+.f64 x 4/29)) 3)))) (#(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 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 expm1.f64 (log.f64 (+.f64 33/29 x)))))) (#(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 log1p.f64 (expm1.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 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 fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/29)))))

simplify177.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1170×	`associate-/l*`
1036×	`associate-r`
982×	`associate-l`
664×	`associate-/r*`
656×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	498	8029
1	1450	7789
2	7264	7789

Stop Event

1×	node limit

Counts

259 → 292

Calls

Call 1

Inputs
(.f64 87/4 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (.f64 87/4 (.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 73167/64 (.f64 y (pow.f64 x 4))) (.f64 87/4 (.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -2121843/256 (.f64 y (pow.f64 x 5))) (+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 73167/64 (.f64 y (pow.f64 x 4))) (.f64 87/4 (.f64 y (pow.f64 x 2))))))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 48/841 (/.f64 y x))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -12/29 y) (*.f64 48/841 (/.f64 y x)))))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 48/841 (/.f64 y x))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -12/29 y) (*.f64 48/841 (/.f64 y x)))))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
4/29
(+.f64 4/29 x)
(+.f64 4/29 x)
(+.f64 4/29 x)
x
(+.f64 4/29 x)
(+.f64 4/29 x)
(+.f64 4/29 x)
x
(+.f64 4/29 x)
(+.f64 4/29 x)
(+.f64 4/29 x)
(+.f64 (.f64 (/.f64 (.f64 3 (.f64 x (.f64 x y))) (fma.f64 x x -16/841)) x) (.f64 (/.f64 (.f64 3 (.f64 x (.f64 x y))) (fma.f64 x x -16/841)) -4/29))
(+.f64 (.f64 (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3))) (.f64 x x)) (.f64 (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3))) (-.f64 16/841 (.f64 x 4/29))))
(+.f64 (.f64 (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3))) (-.f64 16/841 (.f64 x 4/29))) (.f64 (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3))) (.f64 x x)))
(+.f64 (.f64 x (/.f64 (.f64 3 (.f64 x (.f64 x y))) (fma.f64 x x -16/841))) (.f64 -4/29 (/.f64 (.f64 3 (.f64 x (.f64 x y))) (fma.f64 x x -16/841))))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3)))) (.f64 (-.f64 16/841 (.f64 x 4/29)) (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3)))))
(+.f64 (.f64 (-.f64 16/841 (.f64 x 4/29)) (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3)))) (.f64 (.f64 x x) (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 3 (+.f64 x 4/29)) (.f64 x (*.f64 x y))))) 1)
(.f64 3 (.f64 (.f64 x (.f64 x y)) (/.f64 -1 (-.f64 -4/29 x))))
(.f64 3 (/.f64 (.f64 x (*.f64 x y)) (+.f64 x 4/29)))
(.f64 (.f64 3 (*.f64 x x)) (/.f64 y (+.f64 x 4/29)))
(.f64 (.f64 3 (.f64 x x)) (.f64 (/.f64 -1 (-.f64 -4/29 x)) y))
(.f64 y (/.f64 (.f64 3 (*.f64 x x)) (+.f64 x 4/29)))
(.f64 (.f64 3 (.f64 x (.f64 x y))) (/.f64 -1 (-.f64 -4/29 x)))
(.f64 (.f64 (/.f64 3 (+.f64 x 4/29)) (.f64 x (.f64 x y))) 1)
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/29)

Outputs
(.f64 87/4 (.f64 y (pow.f64 x 2)))
(.f64 87/4 (.f64 y (*.f64 x x)))
(+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (.f64 87/4 (.f64 y (pow.f64 x 2))))
(fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (.f64 87/4 (.f64 y (.f64 x x))))
(+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 73167/64 (.f64 y (pow.f64 x 4))) (.f64 87/4 (.f64 y (pow.f64 x 2)))))
(fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 73167/64 (.f64 y (pow.f64 x 4)) (.f64 87/4 (.f64 y (*.f64 x x)))))
(fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 87/4 (.f64 y (.f64 x x)) (.f64 (pow.f64 x 4) (*.f64 y 73167/64))))
(+.f64 (.f64 -2121843/256 (.f64 y (pow.f64 x 5))) (+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 73167/64 (.f64 y (pow.f64 x 4))) (.f64 87/4 (.f64 y (pow.f64 x 2))))))
(fma.f64 -2121843/256 (.f64 y (pow.f64 x 5)) (fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 73167/64 (.f64 y (pow.f64 x 4)) (.f64 87/4 (.f64 y (.f64 x x))))))
(fma.f64 -2121843/256 (.f64 y (pow.f64 x 5)) (fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 87/4 (.f64 y (.f64 x x)) (.f64 (pow.f64 x 4) (.f64 y 73167/64)))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 y -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 48/841 (/.f64 y x))))
(fma.f64 3 (.f64 y x) (fma.f64 -12/29 y (.f64 48/841 (/.f64 y x))))
(fma.f64 3 (.f64 y x) (fma.f64 48/841 (/.f64 y x) (.f64 y -12/29)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -12/29 y) (*.f64 48/841 (/.f64 y x)))))
(fma.f64 3 (.f64 y x) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (fma.f64 -12/29 y (*.f64 48/841 (/.f64 y x)))))
(fma.f64 3 (.f64 y x) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (fma.f64 48/841 (/.f64 y x) (*.f64 y -12/29))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 y -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 48/841 (/.f64 y x))))
(fma.f64 3 (.f64 y x) (fma.f64 -12/29 y (.f64 48/841 (/.f64 y x))))
(fma.f64 3 (.f64 y x) (fma.f64 48/841 (/.f64 y x) (.f64 y -12/29)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -12/29 y) (*.f64 48/841 (/.f64 y x)))))
(fma.f64 3 (.f64 y x) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (fma.f64 -12/29 y (*.f64 48/841 (/.f64 y x)))))
(fma.f64 3 (.f64 y x) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (fma.f64 48/841 (/.f64 y x) (*.f64 y -12/29))))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 x 3)))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
4/29
(+.f64 4/29 x)
(+.f64 x 4/29)
(+.f64 4/29 x)
(+.f64 x 4/29)
(+.f64 4/29 x)
(+.f64 x 4/29)
x
(+.f64 4/29 x)
(+.f64 x 4/29)
(+.f64 4/29 x)
(+.f64 x 4/29)
(+.f64 4/29 x)
(+.f64 x 4/29)
x
(+.f64 4/29 x)
(+.f64 x 4/29)
(+.f64 4/29 x)
(+.f64 x 4/29)
(+.f64 4/29 x)
(+.f64 x 4/29)
(+.f64 (.f64 (/.f64 (.f64 3 (.f64 x (.f64 x y))) (fma.f64 x x -16/841)) x) (.f64 (/.f64 (.f64 3 (.f64 x (.f64 x y))) (fma.f64 x x -16/841)) -4/29))
(/.f64 (.f64 3 (.f64 (.f64 y (.f64 x x)) (+.f64 x -4/29))) (fma.f64 x x -16/841))
(.f64 y (.f64 (+.f64 x -4/29) (.f64 (/.f64 3 (fma.f64 x x -16/841)) (.f64 x x))))
(+.f64 (.f64 (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3))) (.f64 x x)) (.f64 (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3))) (-.f64 16/841 (.f64 x 4/29))))
(.f64 (/.f64 (.f64 3 (.f64 y (.f64 x x))) (+.f64 (pow.f64 x 3) 64/24389)) (fma.f64 x x (-.f64 16/841 (*.f64 x 4/29))))
(.f64 (.f64 y (.f64 (/.f64 3 (+.f64 (pow.f64 x 3) 64/24389)) (.f64 x x))) (+.f64 (fma.f64 x x 16/841) (*.f64 x -4/29)))
(+.f64 (.f64 (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3))) (-.f64 16/841 (.f64 x 4/29))) (.f64 (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3))) (.f64 x x)))
(.f64 (/.f64 (.f64 3 (.f64 y (.f64 x x))) (+.f64 (pow.f64 x 3) 64/24389)) (fma.f64 x x (-.f64 16/841 (*.f64 x 4/29))))
(.f64 (.f64 y (.f64 (/.f64 3 (+.f64 (pow.f64 x 3) 64/24389)) (.f64 x x))) (+.f64 (fma.f64 x x 16/841) (*.f64 x -4/29)))
(+.f64 (.f64 x (/.f64 (.f64 3 (.f64 x (.f64 x y))) (fma.f64 x x -16/841))) (.f64 -4/29 (/.f64 (.f64 3 (.f64 x (.f64 x y))) (fma.f64 x x -16/841))))
(/.f64 (.f64 3 (.f64 (.f64 y (.f64 x x)) (+.f64 x -4/29))) (fma.f64 x x -16/841))
(.f64 y (.f64 (+.f64 x -4/29) (.f64 (/.f64 3 (fma.f64 x x -16/841)) (.f64 x x))))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3)))) (.f64 (-.f64 16/841 (.f64 x 4/29)) (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3)))))
(.f64 (/.f64 (.f64 3 (.f64 y (.f64 x x))) (+.f64 (pow.f64 x 3) 64/24389)) (fma.f64 x x (-.f64 16/841 (*.f64 x 4/29))))
(.f64 (.f64 y (.f64 (/.f64 3 (+.f64 (pow.f64 x 3) 64/24389)) (.f64 x x))) (+.f64 (fma.f64 x x 16/841) (*.f64 x -4/29)))
(+.f64 (.f64 (-.f64 16/841 (.f64 x 4/29)) (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3)))) (.f64 (.f64 x x) (/.f64 (.f64 3 (.f64 x (.f64 x y))) (+.f64 64/24389 (pow.f64 x 3)))))
(.f64 (/.f64 (.f64 3 (.f64 y (.f64 x x))) (+.f64 (pow.f64 x 3) 64/24389)) (fma.f64 x x (-.f64 16/841 (*.f64 x 4/29))))
(.f64 (.f64 y (.f64 (/.f64 3 (+.f64 (pow.f64 x 3) 64/24389)) (.f64 x x))) (+.f64 (fma.f64 x x 16/841) (*.f64 x -4/29)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 3 (+.f64 x 4/29)) (.f64 x (*.f64 x y))))) 1)
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 3 (.f64 (.f64 x (.f64 x y)) (/.f64 -1 (-.f64 -4/29 x))))
(.f64 (.f64 3 (.f64 y (.f64 x x))) (/.f64 -1 (-.f64 -4/29 x)))
(.f64 y (.f64 (*.f64 x x) (/.f64 -3 (-.f64 -4/29 x))))
(.f64 3 (/.f64 (.f64 x (*.f64 x y)) (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 (.f64 3 (*.f64 x x)) (/.f64 y (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 (.f64 3 (.f64 x x)) (.f64 (/.f64 -1 (-.f64 -4/29 x)) y))
(.f64 (.f64 3 (.f64 y (.f64 x x))) (/.f64 -1 (-.f64 -4/29 x)))
(.f64 y (.f64 (*.f64 x x) (/.f64 -3 (-.f64 -4/29 x))))
(.f64 y (/.f64 (.f64 3 (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 (.f64 3 (.f64 x (.f64 x y))) (/.f64 -1 (-.f64 -4/29 x)))
(.f64 (.f64 3 (.f64 y (.f64 x x))) (/.f64 -1 (-.f64 -4/29 x)))
(.f64 y (.f64 (*.f64 x x) (/.f64 -3 (-.f64 -4/29 x))))
(.f64 (.f64 (/.f64 3 (+.f64 x 4/29)) (.f64 x (.f64 x y))) 1)
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 1 (.f64 (/.f64 3 (+.f64 x 4/29)) (.f64 x (.f64 x y))))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 (/.f64 (.f64 x (sqrt.f64 3)) (sqrt.f64 (/.f64 (+.f64 x 4/29) y))) (/.f64 (*.f64 x (sqrt.f64 3)) (sqrt.f64 (/.f64 (+.f64 x 4/29) y))))
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 (/.f64 (+.f64 x 4/29) y)) (sqrt.f64 3))) 2)
(.f64 (.f64 (.f64 x (sqrt.f64 3)) (sqrt.f64 y)) (.f64 (.f64 (.f64 x (sqrt.f64 3)) (sqrt.f64 y)) (/.f64 -1 (-.f64 -4/29 x))))
(.f64 (pow.f64 (.f64 (*.f64 x (sqrt.f64 3)) (sqrt.f64 y)) 2) (/.f64 -1 (-.f64 -4/29 x)))
(.f64 (/.f64 -1 (-.f64 -4/29 x)) (pow.f64 (.f64 x (*.f64 (sqrt.f64 3) (sqrt.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 (/.f64 3 (+.f64 x 4/29)) (.f64 x (.f64 x y)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 3 (+.f64 x 4/29)) (.f64 x (*.f64 x y)))) 2))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 3 (+.f64 x 4/29)) (.f64 x (.f64 x y)))) 2) (cbrt.f64 (.f64 (/.f64 3 (+.f64 x 4/29)) (.f64 x (*.f64 x y)))))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 x (.f64 x y)))) 2) (.f64 (cbrt.f64 (.f64 3 (.f64 x (.f64 x y)))) (/.f64 -1 (-.f64 -4/29 x))))
(.f64 (.f64 3 (.f64 y (.f64 x x))) (/.f64 -1 (-.f64 -4/29 x)))
(.f64 y (.f64 (*.f64 x x) (/.f64 -3 (-.f64 -4/29 x))))
(.f64 (/.f64 -1 (-.f64 -4/29 x)) (.f64 3 (.f64 x (.f64 x y))))
(.f64 (.f64 3 (.f64 y (.f64 x x))) (/.f64 -1 (-.f64 -4/29 x)))
(.f64 y (.f64 (*.f64 x x) (/.f64 -3 (-.f64 -4/29 x))))
(.f64 (.f64 -3 (.f64 x (.f64 x y))) (/.f64 1 (-.f64 -4/29 x)))
(.f64 (.f64 3 (.f64 y (.f64 x x))) (/.f64 -1 (-.f64 -4/29 x)))
(.f64 y (.f64 (*.f64 x x) (/.f64 -3 (-.f64 -4/29 x))))
(.f64 (/.f64 (.f64 3 (.f64 x (.f64 x y))) 1) (/.f64 -1 (-.f64 -4/29 x)))
(.f64 (.f64 3 (.f64 y (.f64 x x))) (/.f64 -1 (-.f64 -4/29 x)))
(.f64 y (.f64 (*.f64 x x) (/.f64 -3 (-.f64 -4/29 x))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x 4/29))) (/.f64 (.f64 3 (.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x 4/29))))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 (.f64 3 (.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x 4/29))))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 3 (*.f64 x x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (+.f64 x 4/29) y))
(.f64 (/.f64 y (sqrt.f64 (+.f64 x 4/29))) (/.f64 (.f64 3 (*.f64 x x)) (sqrt.f64 (+.f64 x 4/29))))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
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(/.f64 (*.f64 (neg.f64 (fma.f64 x x -16/841)) 1) (neg.f64 (+.f64 x -4/29)))
(/.f64 (neg.f64 (fma.f64 x x -16/841)) (+.f64 (neg.f64 x) 4/29))
(/.f64 (neg.f64 (fma.f64 x x -16/841)) (-.f64 4/29 x))
(/.f64 (.f64 (neg.f64 (+.f64 64/24389 (pow.f64 x 3))) 1) (neg.f64 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 64/24389)) (neg.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x 4/29)))))
(/.f64 (-.f64 -64/24389 (pow.f64 x 3)) (neg.f64 (+.f64 (fma.f64 x x 16/841) (*.f64 x -4/29))))
(/.f64 (.f64 (-.f64 16/841 (.f64 x x)) 1) (-.f64 4/29 x))
(/.f64 (neg.f64 (fma.f64 x x -16/841)) (+.f64 (neg.f64 x) 4/29))
(/.f64 (neg.f64 (fma.f64 x x -16/841)) (-.f64 4/29 x))
(/.f64 (.f64 (sqrt.f64 (+.f64 64/24389 (pow.f64 x 3))) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x 4/29)) (sqrt.f64 (+.f64 (pow.f64 x 3) 64/24389))) (sqrt.f64 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 64/24389)) (sqrt.f64 (+.f64 (fma.f64 x x 16/841) (.f64 x -4/29)))) (sqrt.f64 (+.f64 x 4/29)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x -4/29)))
(/.f64 (sqrt.f64 (+.f64 x 4/29)) (/.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (fma.f64 x x -16/841))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 x 4/29)))
(/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (cbrt.f64 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (/.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x 4/29)))) (cbrt.f64 (+.f64 (pow.f64 x 3) 64/24389))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 64/24389)) (cbrt.f64 (+.f64 (fma.f64 x x 16/841) (.f64 x -4/29)))) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -16/841)) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (cbrt.f64 (+.f64 x -4/29)))
(/.f64 (cbrt.f64 (fma.f64 x x -16/841)) (/.f64 (cbrt.f64 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (cbrt.f64 (+.f64 x -4/29))) (cbrt.f64 (fma.f64 x x -16/841)))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) 256/707281) (/.f64 1 (+.f64 x -4/29))) (+.f64 (.f64 x x) 16/841))
(/.f64 (+.f64 (pow.f64 x 4) -256/707281) (*.f64 (+.f64 x -4/29) (fma.f64 x x 16/841)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) (/.f64 1 (+.f64 x -4/29))) (+.f64 (+.f64 (pow.f64 x 4) 256/707281) (.f64 (.f64 x x) 16/841)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -4096/594823321) (.f64 (+.f64 x -4/29) (+.f64 (pow.f64 x 4) (+.f64 256/707281 (.f64 x (.f64 x 16/841))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (fma.f64 x (*.f64 x 16/841) (+.f64 (pow.f64 x 4) 256/707281))) (+.f64 x -4/29))
(/.f64 (.f64 (+.f64 262144/14507145975869 (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29))))) (+.f64 (pow.f64 (.f64 x x) 3) (-.f64 4096/594823321 (.f64 (pow.f64 x 3) 64/24389))))
(/.f64 (+.f64 262144/14507145975869 (pow.f64 (pow.f64 x 3) 3)) (.f64 (fma.f64 x x (-.f64 16/841 (.f64 x 4/29))) (-.f64 (+.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) (.f64 (pow.f64 x 3) 64/24389))))
(/.f64 (/.f64 (+.f64 262144/14507145975869 (pow.f64 (pow.f64 x 3) 3)) (+.f64 (fma.f64 x x 16/841) (.f64 x -4/29))) (+.f64 (pow.f64 x 6) (+.f64 4096/594823321 (.f64 (pow.f64 x 3) -64/24389))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321) (/.f64 1 (fma.f64 x x (-.f64 16/841 (*.f64 x 4/29))))) (-.f64 (pow.f64 x 3) 64/24389))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -4096/594823321) (fma.f64 x x (-.f64 16/841 (.f64 x 4/29)))) (+.f64 (pow.f64 x 3) -64/24389))
(/.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (.f64 (+.f64 (fma.f64 x x 16/841) (.f64 x -4/29)) (+.f64 (pow.f64 x 3) -64/24389)))
(pow.f64 (+.f64 x 4/29) 1)
(+.f64 x 4/29)
(pow.f64 (sqrt.f64 (+.f64 x 4/29)) 2)
(+.f64 x 4/29)
(pow.f64 (cbrt.f64 (+.f64 x 4/29)) 3)
(+.f64 x 4/29)
(pow.f64 (pow.f64 (+.f64 x 4/29) 3) 1/3)
(+.f64 x 4/29)
(sqrt.f64 (pow.f64 (+.f64 x 4/29) 2))
(fabs.f64 (+.f64 x 4/29))
(log.f64 (exp.f64 (+.f64 x 4/29)))
(+.f64 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 4/29))))
(+.f64 x 4/29)
(cbrt.f64 (pow.f64 (+.f64 x 4/29) 3))
(+.f64 x 4/29)
(expm1.f64 (log.f64 (+.f64 33/29 x)))
(+.f64 x 4/29)
(exp.f64 (log.f64 (+.f64 x 4/29)))
(+.f64 x 4/29)
(exp.f64 (*.f64 (log.f64 (+.f64 x 4/29)) 1))
(+.f64 x 4/29)
(log1p.f64 (expm1.f64 (+.f64 x 4/29)))
(+.f64 x 4/29)
(fma.f64 1 x 4/29)
(+.f64 x 4/29)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/29)
(+.f64 x 4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/29)
(+.f64 x 4/29)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(fma.f64 x x -16/841)
✓	0.26%	(/.f64 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) 3)
✓	0.46%	(/.f64 y (/.f64 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) 3))
✓	20.27%	(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))

Compiler

Compiled 44 to 29 computations (34.1% saved)

series2.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) 3)
0.0ms	x	@	0	(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
0.0ms	x	@	0	(/.f64 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) 3)
0.0ms	x	@	-inf	(/.f64 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) 3)
0.0ms	x	@	inf	(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))

rewrite186.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`associate-/r/`
1318×	`associate-/l/`
636×	`distribute-rgt-in`
612×	`distribute-lft-in`
298×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	294	45
2	4000	45

Stop Event

1×	node limit

Counts

3 → 226

Calls

Call 1

Inputs
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(/.f64 y (/.f64 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) 3))
(/.f64 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x x -16/841)) x) (*.f64 (/.f64 1 (fma.f64 x x -16/841)) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x x -16/841)) 4/29) (*.f64 (/.f64 1 (fma.f64 x x -16/841)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 (fma.f64 x x -16/841))) (*.f64 4/29 (/.f64 1 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4/29 (/.f64 1 (fma.f64 x x -16/841))) (*.f64 x (/.f64 1 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 4/29) (/.f64 1 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4/29)) (*.f64 (sqrt.f64 (+.f64 x 4/29)) (/.f64 1 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) (/.f64 1 (sqrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (*.f64 (cbrt.f64 (+.f64 x 4/29)) (/.f64 1 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 2) (/.f64 1 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -4/29 x) (/.f64 1 (-.f64 16/841 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -16/841))) (/.f64 (+.f64 x 4/29) (sqrt.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2)) (/.f64 (+.f64 x 4/29) (cbrt.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 16/841 (*.f64 x x))) (-.f64 -4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) 1) (/.f64 (sqrt.f64 (+.f64 x 4/29)) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2)) (/.f64 (sqrt.f64 (+.f64 x 4/29)) (cbrt.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 4/29)) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (sqrt.f64 (fma.f64 x x -16/841))) (/.f64 (cbrt.f64 (+.f64 x 4/29)) (sqrt.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 4/29) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 256/707281)) (+.f64 (*.f64 x x) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 4/29) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 256/707281)) (-.f64 (*.f64 x x) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 4/29) (+.f64 -4096/594823321 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 256/707281 (*.f64 (*.f64 x x) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 4/29) (-.f64 (pow.f64 (*.f64 x x) 3) 4096/594823321)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 256/707281 (*.f64 (*.f64 x x) 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (fma.f64 x x -16/841) (sqrt.f64 (+.f64 x 4/29)))) (sqrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (fma.f64 x x -16/841) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2))) (cbrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.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 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (fma.f64 x x -16/841)) (cbrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x x -16/841) (/.f64 1 (fma.f64 x x -16/841))) (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x x -16/841) (/.f64 1 (fma.f64 x x -16/841))) 1) (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x x -16/841) (/.f64 1 (fma.f64 x x -16/841))) (sqrt.f64 (fma.f64 x x -16/841))) (/.f64 (+.f64 x 4/29) (sqrt.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x x -16/841) (/.f64 1 (fma.f64 x x -16/841))) (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2)) (/.f64 (+.f64 x 4/29) (cbrt.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x x -16/841) (/.f64 1 (fma.f64 x x -16/841))) (-.f64 16/841 (*.f64 x x))) (-.f64 -4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x x -16/841) (/.f64 1 (fma.f64 x x -16/841))) (/.f64 (fma.f64 x x -16/841) 1)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x x -16/841) (/.f64 1 (fma.f64 x x -16/841))) (/.f64 (fma.f64 x x -16/841) (sqrt.f64 (+.f64 x 4/29)))) (sqrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x x -16/841) (/.f64 1 (fma.f64 x x -16/841))) (/.f64 (fma.f64 x x -16/841) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2))) (cbrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x x -16/841) (/.f64 1 (fma.f64 x x -16/841))) (-.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 (/.f64 (*.f64 (+.f64 64/24389 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x -16/841))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 16/841 (*.f64 x 4/29)) (-.f64 16/841 (*.f64 x 4/29))))) (+.f64 (fma.f64 x x -16/841) (*.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 64/24389 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x -16/841))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 16/841 (*.f64 x 4/29)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 16/841 (*.f64 x 4/29)) (-.f64 16/841 (*.f64 x 4/29))) (*.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 4/29) (*.f64 (/.f64 1 (fma.f64 x x -16/841)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 4/29) (/.f64 1 (*.f64 (fma.f64 x x -16/841) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -4/29)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (+.f64 x -4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 2) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x -4/29)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 4/29) 3) (/.f64 1 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 -1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (fma.f64 x x -16/841) 3)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) 3) (/.f64 (sqrt.f64 (+.f64 x 4/29)) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) 3) (/.f64 (cbrt.f64 (+.f64 x 4/29)) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 x -4/29)))) (/.f64 1 (sqrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 2))) (/.f64 1 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2))) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (*.f64 (fma.f64 x x -16/841) 3)) (sqrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) 3) (/.f64 1 (sqrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (*.f64 (fma.f64 x x -16/841) 3)) (cbrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 (fma.f64 x x -16/841))) (/.f64 (+.f64 x 4/29) (sqrt.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2)) (/.f64 (+.f64 x 4/29) (cbrt.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (-.f64 16/841 (*.f64 x x))) (-.f64 -4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (fma.f64 x x -16/841) 1)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (fma.f64 x x -16/841) (sqrt.f64 (+.f64 x 4/29)))) (sqrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (fma.f64 x x -16/841) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2))) (cbrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (-.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 (/.f64 (*.f64 (+.f64 x 4/29) 1/3) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 256/707281)) (+.f64 (*.f64 x x) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 x 4/29) 1/3) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 256/707281)) (-.f64 (*.f64 x x) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 x 4/29) 1/3) (+.f64 -4096/594823321 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 256/707281 (*.f64 (*.f64 x x) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 x 4/29) 1/3) (-.f64 (pow.f64 (*.f64 x x) 3) 4096/594823321)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 256/707281 (*.f64 (*.f64 x x) 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 x 4/29) 3) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 256/707281)) (+.f64 (*.f64 x x) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 x 4/29) 3) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 256/707281)) (-.f64 (*.f64 x x) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 x 4/29) 3) (+.f64 -4096/594823321 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 256/707281 (*.f64 (*.f64 x x) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 x 4/29) 3) (-.f64 (pow.f64 (*.f64 x x) 3) 4096/594823321)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 256/707281 (*.f64 (*.f64 x x) 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 3 x) -12/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29))))))))

simplify129.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

984×	`*-commutative`
792×	`associate-*l/`
760×	`+-commutative`
718×	`associate-r`
684×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	616	7994
1	2047	7258
2	7639	7258

Stop Event

1×	node limit

Counts

274 → 340

Calls

Call 1

Inputs
-29/4
(-.f64 (*.f64 -841/16 x) 29/4)
(-.f64 (+.f64 (.f64 -841/16 x) (.f64 -24389/64 (pow.f64 x 2))) 29/4)
(-.f64 (+.f64 (.f64 -841/16 x) (+.f64 (.f64 -707281/256 (pow.f64 x 3)) (*.f64 -24389/64 (pow.f64 x 2)))) 29/4)
(/.f64 1 x)
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 64/24389 (/.f64 1 (pow.f64 x 4))))))
(/.f64 1 x)
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 64/24389 (/.f64 1 (pow.f64 x 4))))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 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))
-29/12
(-.f64 (*.f64 -841/48 x) 29/12)
(-.f64 (+.f64 (.f64 -24389/192 (pow.f64 x 2)) (.f64 -841/48 x)) 29/12)
(-.f64 (+.f64 (.f64 -707281/768 (pow.f64 x 3)) (+.f64 (.f64 -24389/192 (pow.f64 x 2)) (*.f64 -841/48 x))) 29/12)
(/.f64 1/3 x)
(+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 64/73167 (/.f64 1 (pow.f64 x 4))) (.f64 1/3 (/.f64 1 x)))))
(/.f64 1/3 x)
(+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 64/73167 (/.f64 1 (pow.f64 x 4))) (.f64 1/3 (/.f64 1 x)))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x x -16/841)) x) (.f64 (/.f64 1 (fma.f64 x x -16/841)) 4/29))
(+.f64 (.f64 (/.f64 1 (fma.f64 x x -16/841)) 4/29) (.f64 (/.f64 1 (fma.f64 x x -16/841)) x))
(+.f64 (.f64 x (/.f64 1 (fma.f64 x x -16/841))) (.f64 4/29 (/.f64 1 (fma.f64 x x -16/841))))
(+.f64 (.f64 4/29 (/.f64 1 (fma.f64 x x -16/841))) (.f64 x (/.f64 1 (fma.f64 x x -16/841))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -4/29)))) 1)
(*.f64 (+.f64 x 4/29) (/.f64 1 (fma.f64 x x -16/841)))
(*.f64 (/.f64 1 (+.f64 x -4/29)) 1)
(*.f64 1 (/.f64 1 (+.f64 x -4/29)))
(.f64 (sqrt.f64 (+.f64 x 4/29)) (.f64 (sqrt.f64 (+.f64 x 4/29)) (/.f64 1 (fma.f64 x x -16/841))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) (/.f64 1 (sqrt.f64 (+.f64 x -4/29))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (.f64 (cbrt.f64 (+.f64 x 4/29)) (/.f64 1 (fma.f64 x x -16/841))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 2) (/.f64 1 (cbrt.f64 (+.f64 x -4/29))))
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 (-.f64 -4/29 x) (/.f64 1 (-.f64 16/841 (.f64 x x))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -16/841))) (/.f64 (+.f64 x 4/29) (sqrt.f64 (fma.f64 x x -16/841))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2)) (/.f64 (+.f64 x 4/29) (cbrt.f64 (fma.f64 x x -16/841))))
(.f64 (/.f64 1 (-.f64 16/841 (.f64 x x))) (-.f64 -4/29 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) 1) (/.f64 (sqrt.f64 (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2)) (/.f64 (sqrt.f64 (+.f64 x 4/29)) (cbrt.f64 (fma.f64 x x -16/841))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (sqrt.f64 (fma.f64 x x -16/841))) (/.f64 (cbrt.f64 (+.f64 x 4/29)) (sqrt.f64 (fma.f64 x x -16/841))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -4/29))))
(.f64 (/.f64 (+.f64 x 4/29) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (+.f64 (*.f64 x x) 16/841))
(.f64 (/.f64 (+.f64 x 4/29) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (-.f64 (*.f64 x x) -16/841))
(.f64 (/.f64 (+.f64 x 4/29) (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (*.f64 x x) -16/841))))
(.f64 (/.f64 (+.f64 x 4/29) (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (*.f64 x x) 16/841))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -16/841) (sqrt.f64 (+.f64 x 4/29)))) (sqrt.f64 (+.f64 x 4/29)))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -16/841) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2))) (cbrt.f64 (+.f64 x 4/29)))
(.f64 (/.f64 1 (-.f64 (pow.f64 x 3) 64/24389)) (+.f64 (.f64 x x) (+.f64 16/841 (*.f64 x 4/29))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (fma.f64 x x -16/841)) (cbrt.f64 (+.f64 x 4/29)))
(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) (/.f64 1 (fma.f64 x x -16/841))) (fma.f64 x x -16/841)) (+.f64 x 4/29))
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(.f64 (/.f64 1/3 (-.f64 16/841 (.f64 x x))) (-.f64 -4/29 x))
(*.f64 (/.f64 1/3 (/.f64 (fma.f64 x x -16/841) 1)) (+.f64 x 4/29))
(*.f64 (/.f64 1/3 (/.f64 (fma.f64 x x -16/841) (sqrt.f64 (+.f64 x 4/29)))) (sqrt.f64 (+.f64 x 4/29)))
(*.f64 (/.f64 1/3 (/.f64 (fma.f64 x x -16/841) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2))) (cbrt.f64 (+.f64 x 4/29)))
(.f64 (/.f64 1/3 (-.f64 (pow.f64 x 3) 64/24389)) (+.f64 (.f64 x x) (+.f64 16/841 (*.f64 x 4/29))))
(.f64 (/.f64 (.f64 (+.f64 x 4/29) 1/3) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (+.f64 (.f64 x x) 16/841))
(.f64 (/.f64 (.f64 (+.f64 x 4/29) 1/3) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (-.f64 (.f64 x x) -16/841))
(.f64 (/.f64 (.f64 (+.f64 x 4/29) 1/3) (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (.f64 x x) -16/841))))
(.f64 (/.f64 (.f64 (+.f64 x 4/29) 1/3) (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (.f64 x x) 16/841))))
(.f64 (/.f64 (/.f64 (+.f64 x 4/29) 3) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (+.f64 (*.f64 x x) 16/841))
(.f64 (/.f64 (/.f64 (+.f64 x 4/29) 3) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (-.f64 (*.f64 x x) -16/841))
(.f64 (/.f64 (/.f64 (+.f64 x 4/29) 3) (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (*.f64 x x) -16/841))))
(.f64 (/.f64 (/.f64 (+.f64 x 4/29) 3) (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (*.f64 x x) 16/841))))
(pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 3)
(pow.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3) 1/3)
(pow.f64 (+.f64 (*.f64 3 x) -12/29) -1)
(neg.f64 (neg.f64 (/.f64 1/3 (+.f64 x -4/29))))
(sqrt.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 2))
(log.f64 (exp.f64 (/.f64 1/3 (+.f64 x -4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29)))))
(cbrt.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29))))
(exp.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29))))

Outputs
-29/4
(-.f64 (*.f64 -841/16 x) 29/4)
(fma.f64 -841/16 x -29/4)
(-.f64 (+.f64 (.f64 -841/16 x) (.f64 -24389/64 (pow.f64 x 2))) 29/4)
(+.f64 (fma.f64 -841/16 x (.f64 -24389/64 (.f64 x x))) -29/4)
(fma.f64 -841/16 x (fma.f64 -24389/64 (*.f64 x x) -29/4))
(-.f64 (+.f64 (.f64 -841/16 x) (+.f64 (.f64 -707281/256 (pow.f64 x 3)) (*.f64 -24389/64 (pow.f64 x 2)))) 29/4)
(+.f64 (fma.f64 -841/16 x (fma.f64 -707281/256 (pow.f64 x 3) (.f64 -24389/64 (.f64 x x)))) -29/4)
(+.f64 (fma.f64 -24389/64 (.f64 x x) (.f64 -707281/256 (pow.f64 x 3))) (fma.f64 -841/16 x -29/4))
(+.f64 (fma.f64 -841/16 x -29/4) (fma.f64 -24389/64 (.f64 x x) (.f64 -707281/256 (pow.f64 x 3))))
(/.f64 1 x)
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 4/29 (*.f64 x x)))
(+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 4/29 (*.f64 x x))) (/.f64 16/841 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4/29 (*.f64 x x)) (/.f64 16/841 (pow.f64 x 3))))
(+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 64/24389 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 64/24389 (pow.f64 x 4)))))
(+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (+.f64 (/.f64 16/841 (pow.f64 x 3)) (/.f64 64/24389 (pow.f64 x 4))) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 4/29 (*.f64 x x))) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (/.f64 64/24389 (pow.f64 x 4))))
(/.f64 1 x)
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 4/29 (*.f64 x x)))
(+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 4/29 (*.f64 x x))) (/.f64 16/841 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4/29 (*.f64 x x)) (/.f64 16/841 (pow.f64 x 3))))
(+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 64/24389 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 64/24389 (pow.f64 x 4)))))
(+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (+.f64 (/.f64 16/841 (pow.f64 x 3)) (/.f64 64/24389 (pow.f64 x 4))) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 4/29 (*.f64 x x))) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (/.f64 64/24389 (pow.f64 x 4))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(*.f64 -12/29 y)
(*.f64 y -12/29)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 x y))
(.f64 x (.f64 3 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 x y))
(.f64 x (.f64 3 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
-29/12
(-.f64 (*.f64 -841/48 x) 29/12)
(fma.f64 -841/48 x -29/12)
(fma.f64 x -841/48 -29/12)
(-.f64 (+.f64 (.f64 -24389/192 (pow.f64 x 2)) (.f64 -841/48 x)) 29/12)
(+.f64 (.f64 -24389/192 (.f64 x x)) (fma.f64 -841/48 x -29/12))
(fma.f64 -24389/192 (*.f64 x x) (fma.f64 x -841/48 -29/12))
(-.f64 (+.f64 (.f64 -707281/768 (pow.f64 x 3)) (+.f64 (.f64 -24389/192 (pow.f64 x 2)) (*.f64 -841/48 x))) 29/12)
(+.f64 (fma.f64 -707281/768 (pow.f64 x 3) (fma.f64 -24389/192 (.f64 x x) (.f64 x -841/48))) -29/12)
(fma.f64 (pow.f64 x 3) -707281/768 (fma.f64 -24389/192 (*.f64 x x) (fma.f64 x -841/48 -29/12)))
(/.f64 1/3 x)
(+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 4/87 (*.f64 x x)) (/.f64 1/3 x))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 4/87 (*.f64 x x)) (/.f64 1/3 x)) (/.f64 16/2523 (pow.f64 x 3)))
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 16/2523 (pow.f64 x 3))))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 64/73167 (/.f64 1 (pow.f64 x 4))) (.f64 1/3 (/.f64 1 x)))))
(+.f64 (/.f64 16/2523 (pow.f64 x 3)) (+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4)))))
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4))) (/.f64 16/2523 (pow.f64 x 3))))
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 16/2523 (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4)))))
(/.f64 1/3 x)
(+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 4/87 (*.f64 x x)) (/.f64 1/3 x))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 4/87 (*.f64 x x)) (/.f64 1/3 x)) (/.f64 16/2523 (pow.f64 x 3)))
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 16/2523 (pow.f64 x 3))))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 64/73167 (/.f64 1 (pow.f64 x 4))) (.f64 1/3 (/.f64 1 x)))))
(+.f64 (/.f64 16/2523 (pow.f64 x 3)) (+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4)))))
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4))) (/.f64 16/2523 (pow.f64 x 3))))
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 16/2523 (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4)))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x x -16/841)) x) (.f64 (/.f64 1 (fma.f64 x x -16/841)) 4/29))
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(+.f64 (.f64 (/.f64 1 (fma.f64 x x -16/841)) 4/29) (.f64 (/.f64 1 (fma.f64 x x -16/841)) x))
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(+.f64 (.f64 x (/.f64 1 (fma.f64 x x -16/841))) (.f64 4/29 (/.f64 1 (fma.f64 x x -16/841))))
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(+.f64 (.f64 4/29 (/.f64 1 (fma.f64 x x -16/841))) (.f64 x (/.f64 1 (fma.f64 x x -16/841))))
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -4/29)))) 1)
(/.f64 1 (+.f64 x -4/29))
(*.f64 (+.f64 x 4/29) (/.f64 1 (fma.f64 x x -16/841)))
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(*.f64 (/.f64 1 (+.f64 x -4/29)) 1)
(/.f64 1 (+.f64 x -4/29))
(*.f64 1 (/.f64 1 (+.f64 x -4/29)))
(/.f64 1 (+.f64 x -4/29))
(.f64 (sqrt.f64 (+.f64 x 4/29)) (.f64 (sqrt.f64 (+.f64 x 4/29)) (/.f64 1 (fma.f64 x x -16/841))))
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) (/.f64 1 (sqrt.f64 (+.f64 x -4/29))))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) 2)
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (.f64 (cbrt.f64 (+.f64 x 4/29)) (/.f64 1 (fma.f64 x x -16/841))))
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 2))
(/.f64 1 (+.f64 x -4/29))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 2) (/.f64 1 (cbrt.f64 (+.f64 x -4/29))))
(/.f64 1 (+.f64 x -4/29))
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(.f64 (-.f64 -4/29 x) (/.f64 1 (-.f64 16/841 (.f64 x x))))
(/.f64 (-.f64 -4/29 x) (-.f64 16/841 (*.f64 x x)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -16/841))) (/.f64 (+.f64 x 4/29) (sqrt.f64 (fma.f64 x x -16/841))))
(/.f64 (/.f64 (+.f64 x 4/29) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (fma.f64 x x -16/841)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2)) (/.f64 (+.f64 x 4/29) (cbrt.f64 (fma.f64 x x -16/841))))
(/.f64 (/.f64 (+.f64 x 4/29) (cbrt.f64 (fma.f64 x x -16/841))) (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2))
(.f64 (/.f64 1 (-.f64 16/841 (.f64 x x))) (-.f64 -4/29 x))
(.f64 (-.f64 -4/29 x) (/.f64 1 (-.f64 16/841 (.f64 x x))))
(/.f64 (-.f64 -4/29 x) (-.f64 16/841 (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29)))
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) 1) (/.f64 (sqrt.f64 (+.f64 x 4/29)) (fma.f64 x x -16/841)))
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(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (cbrt.f64 (/.f64 -1 (+.f64 x -4/29)))) (cbrt.f64 -3))
(.f64 (/.f64 y (.f64 (cbrt.f64 (/.f64 -1 (+.f64 x -4/29))) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2))) (cbrt.f64 -3))
(.f64 (/.f64 y (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) (cbrt.f64 (/.f64 -1 (+.f64 x -4/29))))) (cbrt.f64 -3))
(pow.f64 (.f64 y (+.f64 (.f64 3 x) -12/29)) 1)
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(pow.f64 (sqrt.f64 (.f64 y (+.f64 (.f64 3 x) -12/29))) 2)
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(pow.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 3 x) -12/29))) 3)
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(pow.f64 (pow.f64 (.f64 y (+.f64 (.f64 3 x) -12/29)) 3) 1/3)
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(pow.f64 (/.f64 (/.f64 1/3 (+.f64 x -4/29)) y) -1)
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(neg.f64 (/.f64 y (neg.f64 (/.f64 1/3 (+.f64 x -4/29)))))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(sqrt.f64 (pow.f64 (.f64 y (+.f64 (.f64 3 x) -12/29)) 2))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 3 x -12/29)) 2))
(fabs.f64 (*.f64 y (fma.f64 x 3 -12/29)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 (*.f64 3 x) -12/29)))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (+.f64 (.f64 3 x) -12/29)))))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(cbrt.f64 (pow.f64 (.f64 y (+.f64 (.f64 3 x) -12/29)) 3))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 y 3) 1/27) (pow.f64 (+.f64 x -4/29) 3)))
(expm1.f64 (log1p.f64 (.f64 y (+.f64 (.f64 3 x) -12/29))))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(exp.f64 (log.f64 (.f64 y (+.f64 (.f64 3 x) -12/29))))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 (*.f64 3 x) -12/29))) 1))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(log1p.f64 (expm1.f64 (.f64 y (+.f64 (.f64 3 x) -12/29))))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29)))) 1)
(/.f64 1/3 (+.f64 x -4/29))
(.f64 (+.f64 x 4/29) (.f64 (/.f64 1 (fma.f64 x x -16/841)) 1/3))
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841)))
(.f64 (+.f64 x 4/29) (/.f64 1 (.f64 (fma.f64 x x -16/841) 3)))
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841)))
(*.f64 (/.f64 1 (+.f64 x -4/29)) 1/3)
(/.f64 1/3 (+.f64 x -4/29))
(*.f64 (/.f64 1/3 (+.f64 x -4/29)) 1)
(/.f64 1/3 (+.f64 x -4/29))
(*.f64 1 (/.f64 1/3 (+.f64 x -4/29)))
(/.f64 1/3 (+.f64 x -4/29))
(*.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))))
(/.f64 1/3 (+.f64 x -4/29))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) 1/3))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) 2) 1/3)
(*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) 2))
(*.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2))
(/.f64 1/3 (+.f64 x -4/29))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))))
(/.f64 1/3 (+.f64 x -4/29))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 2) (.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 1/3))
(/.f64 1/3 (+.f64 x -4/29))
(*.f64 1/3 (/.f64 1 (+.f64 x -4/29)))
(/.f64 1/3 (+.f64 x -4/29))
(*.f64 (/.f64 -1 (+.f64 x -4/29)) -1/3)
(/.f64 1/3 (+.f64 x -4/29))
(*.f64 (/.f64 (+.f64 x 4/29) 3) (/.f64 1 (fma.f64 x x -16/841)))
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841)))
(*.f64 -1 (neg.f64 (/.f64 1/3 (+.f64 x -4/29))))
(/.f64 1/3 (+.f64 x -4/29))
(*.f64 -1/3 (/.f64 -1 (+.f64 x -4/29)))
(/.f64 1/3 (+.f64 x -4/29))
(.f64 (/.f64 1 (.f64 (fma.f64 x x -16/841) 3)) (+.f64 x 4/29))
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) 3) (/.f64 (sqrt.f64 (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) 3) (/.f64 (cbrt.f64 (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841)))
(.f64 (/.f64 1 (.f64 3 (sqrt.f64 (+.f64 x -4/29)))) (/.f64 1 (sqrt.f64 (+.f64 x -4/29))))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) 2) 1/3)
(*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) 2))
(*.f64 (/.f64 1 (/.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 2))) (/.f64 1 (cbrt.f64 (+.f64 x -4/29))))
(/.f64 1/3 (+.f64 x -4/29))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2))) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))))
(/.f64 1/3 (+.f64 x -4/29))
(.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (.f64 (fma.f64 x x -16/841) 3)) (sqrt.f64 (+.f64 x 4/29)))
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841)))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) 3) (/.f64 1 (sqrt.f64 (+.f64 x -4/29))))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) 2) 1/3)
(*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (.f64 (fma.f64 x x -16/841) 3)) (cbrt.f64 (+.f64 x 4/29)))
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841)))
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 x -4/29))))
(/.f64 1/3 (+.f64 x -4/29))
(*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841)))
(*.f64 (/.f64 1/3 (sqrt.f64 (fma.f64 x x -16/841))) (/.f64 (+.f64 x 4/29) (sqrt.f64 (fma.f64 x x -16/841))))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (fma.f64 x x -16/841))) (+.f64 x 4/29)) (sqrt.f64 (fma.f64 x x -16/841)))
(*.f64 (/.f64 (+.f64 x 4/29) (sqrt.f64 (fma.f64 x x -16/841))) (/.f64 1/3 (sqrt.f64 (fma.f64 x x -16/841))))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2)) (/.f64 (+.f64 x 4/29) (cbrt.f64 (fma.f64 x x -16/841))))
(/.f64 (*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2)) (+.f64 x 4/29)) (cbrt.f64 (fma.f64 x x -16/841)))
(*.f64 (/.f64 (+.f64 x 4/29) (cbrt.f64 (fma.f64 x x -16/841))) (/.f64 1/3 (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2)))
(.f64 (/.f64 1/3 (-.f64 16/841 (.f64 x x))) (-.f64 -4/29 x))
(.f64 (-.f64 -4/29 x) (/.f64 1/3 (-.f64 16/841 (.f64 x x))))
(*.f64 (/.f64 1/3 (/.f64 (fma.f64 x x -16/841) 1)) (+.f64 x 4/29))
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841)))
(*.f64 (/.f64 1/3 (/.f64 (fma.f64 x x -16/841) (sqrt.f64 (+.f64 x 4/29)))) (sqrt.f64 (+.f64 x 4/29)))
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841)))
(*.f64 (/.f64 1/3 (/.f64 (fma.f64 x x -16/841) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2))) (cbrt.f64 (+.f64 x 4/29)))
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841)))
(.f64 (/.f64 1/3 (-.f64 (pow.f64 x 3) 64/24389)) (+.f64 (.f64 x x) (+.f64 16/841 (*.f64 x 4/29))))
(.f64 (+.f64 (fma.f64 x x 16/841) (.f64 x 4/29)) (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)))
(*.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)))
(.f64 (/.f64 (.f64 (+.f64 x 4/29) 1/3) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (+.f64 (.f64 x x) 16/841))
(.f64 (fma.f64 x x 16/841) (/.f64 (.f64 1/3 (+.f64 x 4/29)) (+.f64 (pow.f64 x 4) -256/707281)))
(/.f64 (+.f64 4/87 (*.f64 1/3 x)) (/.f64 (+.f64 (pow.f64 x 4) -256/707281) (fma.f64 x x 16/841)))
(.f64 (/.f64 (.f64 (+.f64 x 4/29) 1/3) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (-.f64 (.f64 x x) -16/841))
(.f64 (fma.f64 x x 16/841) (/.f64 (.f64 1/3 (+.f64 x 4/29)) (+.f64 (pow.f64 x 4) -256/707281)))
(/.f64 (+.f64 4/87 (*.f64 1/3 x)) (/.f64 (+.f64 (pow.f64 x 4) -256/707281) (fma.f64 x x 16/841)))
(.f64 (/.f64 (.f64 (+.f64 x 4/29) 1/3) (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (.f64 x x) -16/841))))
(/.f64 (.f64 (.f64 1/3 (+.f64 x 4/29)) (+.f64 (pow.f64 x 4) (-.f64 256/707281 (.f64 -16/841 (.f64 x x))))) (+.f64 -4096/594823321 (pow.f64 (*.f64 x x) 3)))
(.f64 (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 16/841) 256/707281)) (/.f64 1/3 (/.f64 (+.f64 -4096/594823321 (pow.f64 x 6)) (+.f64 x 4/29))))
(.f64 (/.f64 (.f64 (+.f64 x 4/29) 1/3) (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (.f64 x x) 16/841))))
(/.f64 (.f64 (.f64 1/3 (+.f64 x 4/29)) (+.f64 (pow.f64 x 4) (-.f64 256/707281 (.f64 -16/841 (.f64 x x))))) (+.f64 -4096/594823321 (pow.f64 (*.f64 x x) 3)))
(.f64 (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 16/841) 256/707281)) (/.f64 1/3 (/.f64 (+.f64 -4096/594823321 (pow.f64 x 6)) (+.f64 x 4/29))))
(.f64 (/.f64 (/.f64 (+.f64 x 4/29) 3) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (+.f64 (*.f64 x x) 16/841))
(.f64 (fma.f64 x x 16/841) (/.f64 (+.f64 x 4/29) (.f64 (+.f64 (pow.f64 x 4) -256/707281) 3)))
(.f64 (fma.f64 x x 16/841) (/.f64 (+.f64 x 4/29) (.f64 3 (+.f64 (pow.f64 x 4) -256/707281))))
(.f64 (/.f64 (/.f64 (+.f64 x 4/29) 3) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281)) (-.f64 (*.f64 x x) -16/841))
(.f64 (fma.f64 x x 16/841) (/.f64 (+.f64 x 4/29) (.f64 (+.f64 (pow.f64 x 4) -256/707281) 3)))
(.f64 (fma.f64 x x 16/841) (/.f64 (+.f64 x 4/29) (.f64 3 (+.f64 (pow.f64 x 4) -256/707281))))
(.f64 (/.f64 (/.f64 (+.f64 x 4/29) 3) (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 256/707281 (.f64 (*.f64 x x) -16/841))))
(.f64 (+.f64 (pow.f64 x 4) (-.f64 256/707281 (.f64 -16/841 (.f64 x x)))) (/.f64 (/.f64 (+.f64 x 4/29) 3) (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3))))
(.f64 (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 16/841) 256/707281)) (/.f64 (+.f64 x 4/29) (*.f64 3 (+.f64 -4096/594823321 (pow.f64 x 6)))))
(.f64 (/.f64 (/.f64 (+.f64 x 4/29) 3) (-.f64 (pow.f64 (.f64 x x) 3) 4096/594823321)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 256/707281 (.f64 (*.f64 x x) 16/841))))
(.f64 (+.f64 (pow.f64 x 4) (-.f64 256/707281 (.f64 -16/841 (.f64 x x)))) (/.f64 (/.f64 (+.f64 x 4/29) 3) (+.f64 -4096/594823321 (pow.f64 (.f64 x x) 3))))
(.f64 (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 16/841) 256/707281)) (/.f64 (+.f64 x 4/29) (*.f64 3 (+.f64 -4096/594823321 (pow.f64 x 6)))))
(pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 1)
(/.f64 1/3 (+.f64 x -4/29))
(pow.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)
(/.f64 1/3 (+.f64 x -4/29))
(pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 3)
(/.f64 1/3 (+.f64 x -4/29))
(pow.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3) 1/3)
(/.f64 1/3 (+.f64 x -4/29))
(pow.f64 (+.f64 (*.f64 3 x) -12/29) -1)
(/.f64 1/3 (+.f64 x -4/29))
(neg.f64 (neg.f64 (/.f64 1/3 (+.f64 x -4/29))))
(/.f64 1/3 (+.f64 x -4/29))
(sqrt.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 2))
(fabs.f64 (/.f64 1/3 (+.f64 x -4/29)))
(log.f64 (exp.f64 (/.f64 1/3 (+.f64 x -4/29))))
(/.f64 1/3 (+.f64 x -4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29)))))
(/.f64 1/3 (+.f64 x -4/29))
(cbrt.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3))
(/.f64 1/3 (+.f64 x -4/29))
(expm1.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29))))
(/.f64 1/3 (+.f64 x -4/29))
(exp.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29))))
(/.f64 1/3 (+.f64 x -4/29))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29))) 1))
(/.f64 1/3 (+.f64 x -4/29))
(log1p.f64 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29))))
(/.f64 1/3 (+.f64 x -4/29))

eval310.0ms (5.8%)

Compiler: Compiled 16045 to 11139 computations (30.6% saved)

prune187.0ms (3.5%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	940	3	943
Fresh	2	1	3
Picked	1	0	1
Done	3	6	9
Total	946	10	956

Error

Counts

956 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.14%	(/.f64 y (/.f64 (/.f64 1 x) 3))
▶	49.11%	(/.f64 y (/.f64 1/3 x))
▶	49.33%	(/.f64 y -29/12)
✓	0.35%	(*.f64 (fma.f64 x 3 -12/29) y)
✓	0.29%	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.43%	(.f64 (+.f64 x -4/29) (.f64 3 y))
✓	49.06%	(.f64 (.f64 3 x) y)
✓	49.12%	(.f64 x (.f64 y 3))
▶	49.12%	(.f64 3 (.f64 y x))
✓	49.16%	(*.f64 -12/29 y)

Compiler

Compiled 73 to 55 computations (24.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.39%	(.f64 3 (.f64 y x))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(.f64 3 (.f64 y x))
0.0ms	y	@	0	(.f64 3 (.f64 y x))
0.0ms	y	@	-inf	(.f64 3 (.f64 y x))
0.0ms	x	@	-inf	(.f64 3 (.f64 y x))
0.0ms	x	@	inf	(.f64 3 (.f64 y x))

rewrite49.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`add-sqr-sqrt`
1304×	`*-un-lft-identity`
1210×	`add-cube-cbrt`
1194×	`add-cbrt-cube`
1180×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1633	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 3 (.f64 y x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x))))))))

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1100×	`distribute-rgt-in`
1100×	`distribute-lft-in`
1004×	`*-commutative`
886×	`log-prod`
842×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	275
1	92	209
2	356	143
3	2249	143
4	7020	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 3 (.f64 y x))) 1)
(pow.f64 (.f64 3 (.f64 y x)) 1)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y x))) 2)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 3)
(pow.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 y x) 2) 9))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 3))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 3))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y x))))
(exp.f64 (log.f64 (.f64 3 (.f64 y x))))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y x))))

Outputs
(-.f64 (+.f64 1 (.f64 3 (.f64 y x))) 1)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(pow.f64 (.f64 3 (.f64 y x)) 1)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y x))) 2)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 3)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(pow.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) 1/3)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(sqrt.f64 (.f64 (pow.f64 (.f64 y x) 2) 9))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 3))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 3))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y x))))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(exp.f64 (log.f64 (.f64 3 (.f64 y x))))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y x))))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.63%	(/.f64 y -29/12)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 y -29/12)
0.0ms	y	@	inf	(/.f64 y -29/12)
0.0ms	y	@	-inf	(/.f64 y -29/12)

rewrite55.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`add-sqr-sqrt`
988×	`*-un-lft-identity`
944×	`pow1`
938×	`add-cube-cbrt`
930×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	108	7
2	1259	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(/.f64 y -29/12)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y -12/29)) (sqrt.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y -12/29)) (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2) (cbrt.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -12/29 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) 12/29)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -12/29) 1)))) (#(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 (cbrt.f64 (*.f64 y -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -29/12 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y 29/12))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 144/841))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (*.f64 y -12/29)))))))

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1332×	`associate-r`
1048×	`associate-l`
820×	`distribute-rgt-in`
816×	`distribute-lft-in`
800×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	255
1	127	255
2	514	249
3	3324	249

Stop Event

1×	node limit

Counts

35 → 25

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 (+.f64 1 (*.f64 y -12/29)) 1)
(*.f64 y -12/29)
(.f64 (.f64 y -12/29) 1)
(.f64 1 (.f64 y -12/29))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) -12/29))
(.f64 (sqrt.f64 (.f64 y -12/29)) (sqrt.f64 (*.f64 y -12/29)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) -12/29))
(.f64 (cbrt.f64 (.f64 y -12/29)) (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 y -12/29)) 2) (cbrt.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)
(*.f64 (neg.f64 y) 12/29)
(pow.f64 (*.f64 y -12/29) 1)
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)
(pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3)
(pow.f64 (/.f64 -29/12 y) -1)
(neg.f64 (/.f64 y 29/12))
(sqrt.f64 (.f64 (.f64 y y) 144/841))
(log.f64 (exp.f64 (*.f64 y -12/29)))
(cbrt.f64 (pow.f64 (*.f64 y -12/29) 3))
(expm1.f64 (log1p.f64 (*.f64 y -12/29)))
(exp.f64 (log.f64 (*.f64 y -12/29)))
(log1p.f64 (expm1.f64 (*.f64 y -12/29)))

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 (+.f64 1 (*.f64 y -12/29)) 1)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 -12/29 y)
(.f64 (.f64 y -12/29) 1)
(*.f64 -12/29 y)
(.f64 1 (.f64 y -12/29))
(*.f64 -12/29 y)
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) -12/29))
(*.f64 -12/29 y)
(.f64 (sqrt.f64 (.f64 y -12/29)) (sqrt.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) -12/29))
(*.f64 -12/29 y)
(.f64 (cbrt.f64 (.f64 y -12/29)) (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2))
(*.f64 -12/29 y)
(.f64 (pow.f64 (cbrt.f64 (.f64 y -12/29)) 2) (cbrt.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 (neg.f64 y) 12/29)
(*.f64 -12/29 y)
(pow.f64 (*.f64 y -12/29) 1)
(*.f64 -12/29 y)
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)
(*.f64 -12/29 y)
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)
(*.f64 -12/29 y)
(pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3)
(*.f64 -12/29 y)
(pow.f64 (/.f64 -29/12 y) -1)
(*.f64 -12/29 y)
(neg.f64 (/.f64 y 29/12))
(*.f64 -12/29 y)
(sqrt.f64 (.f64 (.f64 y y) 144/841))
(sqrt.f64 (.f64 y (.f64 y 144/841)))
(fabs.f64 (*.f64 -12/29 y))
(log.f64 (exp.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)
(cbrt.f64 (pow.f64 (*.f64 y -12/29) 3))
(*.f64 -12/29 y)
(expm1.f64 (log1p.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)
(exp.f64 (log.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)
(log1p.f64 (expm1.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.34%	(/.f64 y (/.f64 1/3 x))
✓	0.55%	(/.f64 1/3 x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1/3 x)
0.0ms	x	@	inf	(/.f64 1/3 x)
0.0ms	x	@	-inf	(/.f64 1/3 x)
0.0ms	y	@	inf	(/.f64 y (/.f64 1/3 x))
0.0ms	y	@	0	(/.f64 y (/.f64 1/3 x))

rewrite59.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`add-sqr-sqrt`
1606×	`*-un-lft-identity`
1508×	`add-cube-cbrt`
1492×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	154	20
2	2024	20

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(/.f64 1/3 x)
(/.f64 y (/.f64 1/3 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 x)))))))

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

simplify85.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

974×	`unswap-sqr`
906×	`associate-+l-`
888×	`associate-+r-`
868×	`associate-/l*`
724×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	1144
1	349	1144
2	1532	1144
3	6338	1144

Stop Event

1×	node limit

Counts

88 → 70

Calls

Call 1

Inputs
(.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 (exp.f64 (log1p.f64 (/.f64 1/3 x))) 1)
(*.f64 1/3 (/.f64 1 x))
(*.f64 (/.f64 1/3 x) 1)
(*.f64 1 (/.f64 1/3 x))
(*.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))
(*.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))
(*.f64 (/.f64 1 x) 1/3)
(*.f64 -1/3 (/.f64 1 (neg.f64 x)))
(pow.f64 (/.f64 1/3 x) 1)
(pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)
(pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)
(pow.f64 (*.f64 x 3) -1)
(sqrt.f64 (/.f64 1/9 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 1/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 x))))
(cbrt.f64 (pow.f64 (/.f64 1/3 x) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 x)))
(exp.f64 (log.f64 (/.f64 1/3 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 y 3)))) 1)
(.f64 x (.f64 y 3))
(.f64 y (.f64 x 3))
(.f64 (.f64 x (*.f64 y 3)) 1)
(.f64 1 (.f64 x (*.f64 y 3)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 x 3)))
(.f64 (sqrt.f64 (.f64 x (.f64 y 3))) (sqrt.f64 (.f64 x (*.f64 y 3))))
(.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) (.f64 x 3)))
(.f64 (cbrt.f64 (.f64 x (.f64 y 3))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 y 3))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y 3))) 2) (cbrt.f64 (.f64 x (*.f64 y 3))))
(.f64 (.f64 y 3) x)
(.f64 (.f64 x 3) y)
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 -1/3 x)))
(.f64 (.f64 (*.f64 y 3) 1) x)
(.f64 (.f64 (*.f64 y 3) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 y 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 3 (/.f64 y (/.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 1/3 x))) (/.f64 y (sqrt.f64 (/.f64 1/3 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 y (cbrt.f64 (/.f64 1/3 x))))
(.f64 (/.f64 y 1) (.f64 x 3))
(*.f64 (/.f64 y -1/3) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 y) 1/3) (/.f64 (sqrt.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 1/3 x)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1/3) (/.f64 (cbrt.f64 y) (/.f64 1 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 1/3 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (sqrt.f64 (/.f64 1/3 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (cbrt.f64 (.f64 x (.f64 y 3))))
(pow.f64 (.f64 x (.f64 y 3)) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 y 3))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 y 3))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 y 3)) 3) 1/3)
(pow.f64 (/.f64 1/3 (*.f64 y x)) -1)
(neg.f64 (/.f64 y (/.f64 -1/3 x)))
(sqrt.f64 (pow.f64 (.f64 x (.f64 y 3)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 y 3)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 y 3)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 y 3))))
(exp.f64 (log.f64 (.f64 x (.f64 y 3))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 y 3))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 y 3))))

Outputs
(.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 (exp.f64 (log1p.f64 (/.f64 1/3 x))) 1)
(/.f64 1/3 x)
(*.f64 1/3 (/.f64 1 x))
(/.f64 1/3 x)
(*.f64 (/.f64 1/3 x) 1)
(/.f64 1/3 x)
(*.f64 1 (/.f64 1/3 x))
(/.f64 1/3 x)
(*.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))
(/.f64 1/3 x)
(*.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))
(/.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))
(/.f64 1/3 x)
(*.f64 (/.f64 1 x) 1/3)
(/.f64 1/3 x)
(*.f64 -1/3 (/.f64 1 (neg.f64 x)))
(/.f64 1/3 x)
(pow.f64 (/.f64 1/3 x) 1)
(/.f64 1/3 x)
(pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)
(/.f64 1/3 x)
(pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)
(/.f64 1/3 x)
(pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)
(/.f64 1/3 x)
(pow.f64 (*.f64 x 3) -1)
(/.f64 1/3 x)
(sqrt.f64 (/.f64 1/9 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 1/3 x)))
(/.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 x))))
(/.f64 1/3 x)
(cbrt.f64 (pow.f64 (/.f64 1/3 x) 3))
(/.f64 1/3 x)
(expm1.f64 (log1p.f64 (/.f64 1/3 x)))
(/.f64 1/3 x)
(exp.f64 (log.f64 (/.f64 1/3 x)))
(/.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 x)) 1))
(/.f64 1/3 x)
(log1p.f64 (expm1.f64 (/.f64 1/3 x)))
(/.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 y 3)))) 1)
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 (.f64 x (*.f64 y 3)) 1)
(.f64 3 (.f64 y x))
(.f64 1 (.f64 x (*.f64 y 3)))
(.f64 3 (.f64 y x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 x 3)))
(.f64 3 (.f64 y x))
(.f64 (sqrt.f64 (.f64 x (.f64 y 3))) (sqrt.f64 (.f64 x (*.f64 y 3))))
(.f64 3 (.f64 y x))
(.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) (.f64 x 3)))
(.f64 (cbrt.f64 (.f64 y y)) (.f64 (.f64 3 x) (cbrt.f64 y)))
(.f64 (.f64 3 x) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y)))
(.f64 3 (.f64 (cbrt.f64 (.f64 y y)) (.f64 x (cbrt.f64 y))))
(.f64 (cbrt.f64 (.f64 x (.f64 y 3))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 y 3))) 2))
(.f64 3 (.f64 y x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y 3))) 2) (cbrt.f64 (.f64 x (*.f64 y 3))))
(.f64 3 (.f64 y x))
(.f64 (.f64 y 3) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 x 3) y)
(.f64 3 (.f64 y x))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 -1/3 x)))
(.f64 3 (.f64 y x))
(.f64 (.f64 (*.f64 y 3) 1) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 (*.f64 y 3) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 3 (.f64 y x))
(.f64 (.f64 (*.f64 y 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 3 (.f64 y x))
(*.f64 3 (/.f64 y (/.f64 1 x)))
(.f64 3 (.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 1/3 x))) (/.f64 y (sqrt.f64 (/.f64 1/3 x))))
(.f64 3 (.f64 y x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 y (cbrt.f64 (/.f64 1/3 x))))
(.f64 3 (.f64 y x))
(.f64 (/.f64 y 1) (.f64 x 3))
(.f64 3 (.f64 y x))
(*.f64 (/.f64 y -1/3) (neg.f64 x))
(.f64 3 (.f64 y x))
(*.f64 (/.f64 (sqrt.f64 y) 1/3) (/.f64 (sqrt.f64 y) (/.f64 1 x)))
(.f64 3 (.f64 y x))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 1/3 x)))
(.f64 3 (.f64 y x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 x))))
(.f64 3 (.f64 y x))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1/3) (/.f64 (cbrt.f64 y) (/.f64 1 x)))
(.f64 (cbrt.f64 (.f64 y y)) (.f64 (.f64 3 x) (cbrt.f64 y)))
(.f64 (.f64 3 x) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y)))
(.f64 3 (.f64 (cbrt.f64 (.f64 y y)) (.f64 x (cbrt.f64 y))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 1/3 x)))
(.f64 (cbrt.f64 (.f64 y y)) (.f64 (.f64 3 x) (cbrt.f64 y)))
(.f64 (.f64 3 x) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y)))
(.f64 3 (.f64 (cbrt.f64 (.f64 y y)) (.f64 x (cbrt.f64 y))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (sqrt.f64 (/.f64 1/3 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 x))))
(.f64 (cbrt.f64 (.f64 y y)) (.f64 (.f64 3 x) (cbrt.f64 y)))
(.f64 (.f64 3 x) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y)))
(.f64 3 (.f64 (cbrt.f64 (.f64 y y)) (.f64 x (cbrt.f64 y))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (cbrt.f64 (.f64 x (.f64 y 3))))
(.f64 (cbrt.f64 (.f64 3 (.f64 y x))) (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)))
(pow.f64 (.f64 x (.f64 y 3)) 1)
(.f64 3 (.f64 y x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 y 3))) 2)
(.f64 3 (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 y 3))) 3)
(.f64 3 (.f64 y x))
(pow.f64 (pow.f64 (.f64 x (.f64 y 3)) 3) 1/3)
(.f64 3 (.f64 y x))
(pow.f64 (/.f64 1/3 (*.f64 y x)) -1)
(.f64 3 (.f64 y x))
(neg.f64 (/.f64 y (/.f64 -1/3 x)))
(.f64 3 (.f64 y x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 y 3)) 2))
(.f64 3 (.f64 y x))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3)))
(.f64 3 (.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 y 3)))))
(.f64 3 (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 y 3)) 3))
(.f64 3 (.f64 y x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 y 3))))
(.f64 3 (.f64 y x))
(exp.f64 (log.f64 (.f64 x (.f64 y 3))))
(.f64 3 (.f64 y x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 y 3))) 1))
(.f64 3 (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 y 3))))
(.f64 3 (.f64 y x))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.34%	(/.f64 y (/.f64 (/.f64 1 x) 3))
✓	0.48%	(/.f64 (/.f64 1 x) 3)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (/.f64 1 x) 3)
0.0ms	y	@	0	(/.f64 y (/.f64 (/.f64 1 x) 3))
0.0ms	y	@	-inf	(/.f64 y (/.f64 (/.f64 1 x) 3))
0.0ms	x	@	-inf	(/.f64 y (/.f64 (/.f64 1 x) 3))
0.0ms	y	@	inf	(/.f64 y (/.f64 (/.f64 1 x) 3))

rewrite66.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1950×	`add-sqr-sqrt`
1920×	`*-un-lft-identity`
1808×	`add-cube-cbrt`
1788×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	196	20
2	2514	20

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(/.f64 (/.f64 1 x) 3)
(/.f64 y (/.f64 (/.f64 1 x) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 x)))))))

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

simplify83.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1612×	`associate-*r/`
1300×	`associate-*l/`
1182×	`associate-/r*`
980×	`times-frac`
918×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	146	1160
1	349	1154
2	1631	1154

Stop Event

1×	node limit

Counts

100 → 72

Calls

Call 1

Inputs
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 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 3 (.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 x))) 1)
(*.f64 1 (/.f64 1/3 x))
(*.f64 (/.f64 1 x) 1/3)
(*.f64 (/.f64 1/3 x) 1)
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) 1/3))
(*.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) 1/3))
(*.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))
(*.f64 1/3 (/.f64 1 x))
(*.f64 (/.f64 -1 x) -1/3)
(pow.f64 (/.f64 1/3 x) 1)
(pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)
(pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)
(pow.f64 (*.f64 x 3) -1)
(neg.f64 (/.f64 (/.f64 1 x) -3))
(sqrt.f64 (*.f64 (pow.f64 x -2) 1/9))
(log.f64 (exp.f64 (/.f64 1/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 x))))
(cbrt.f64 (pow.f64 (/.f64 1/3 x) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 x)))
(exp.f64 (log.f64 (/.f64 1/3 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y 1/3)))) 1)
(.f64 1 (.f64 x (/.f64 y 1/3)))
(*.f64 x (/.f64 y 1/3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 (.f64 x (/.f64 y 1/3)) 1)
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 x 3)))
(.f64 (sqrt.f64 (.f64 x (/.f64 y 1/3))) (sqrt.f64 (*.f64 x (/.f64 y 1/3))))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (*.f64 x 3)))
(.f64 (cbrt.f64 (.f64 x (/.f64 y 1/3))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y 1/3))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 y 1/3))) 2) (cbrt.f64 (*.f64 x (/.f64 y 1/3))))
(.f64 (.f64 y x) 3)
(.f64 (.f64 x 3) y)
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (/.f64 1/3 x))))
(.f64 (/.f64 y 1) (.f64 x 3))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 1/3 x))) (/.f64 y (sqrt.f64 (/.f64 1/3 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 y (cbrt.f64 (/.f64 1/3 x))))
(*.f64 (/.f64 y (/.f64 -1 x)) -3)
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 1/3 x)))
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 1 x)) (/.f64 (sqrt.f64 y) 1/3))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 1/3 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 x)) (/.f64 (cbrt.f64 y) 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 1/3 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (cbrt.f64 (.f64 x (/.f64 y 1/3))))
(pow.f64 (*.f64 x (/.f64 y 1/3)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y 1/3))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 y 1/3)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 1/3 x) y) -1)
(neg.f64 (/.f64 y (neg.f64 (/.f64 1/3 x))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y 1/3)) 2))
(log.f64 (exp.f64 (*.f64 x (/.f64 y 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 y 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y 1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y 1/3))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y 1/3))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 y 1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y 1/3))))

Outputs
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(/.f64 1/3 x)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 x))) 1)
(/.f64 1/3 x)
(*.f64 1 (/.f64 1/3 x))
(/.f64 1/3 x)
(*.f64 (/.f64 1 x) 1/3)
(/.f64 1/3 x)
(*.f64 (/.f64 1/3 x) 1)
(/.f64 1/3 x)
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) 1/3))
(/.f64 1/3 x)
(*.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))
(/.f64 1/3 x)
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1/3 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))
(/.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))
(/.f64 1/3 x)
(*.f64 1/3 (/.f64 1 x))
(/.f64 1/3 x)
(*.f64 (/.f64 -1 x) -1/3)
(/.f64 1/3 x)
(pow.f64 (/.f64 1/3 x) 1)
(/.f64 1/3 x)
(pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)
(/.f64 1/3 x)
(pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)
(/.f64 1/3 x)
(pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)
(/.f64 1/3 x)
(pow.f64 (*.f64 x 3) -1)
(/.f64 1/3 x)
(neg.f64 (/.f64 (/.f64 1 x) -3))
(/.f64 1/3 x)
(sqrt.f64 (*.f64 (pow.f64 x -2) 1/9))
(log.f64 (exp.f64 (/.f64 1/3 x)))
(/.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 x))))
(/.f64 1/3 x)
(cbrt.f64 (pow.f64 (/.f64 1/3 x) 3))
(/.f64 1/3 x)
(expm1.f64 (log1p.f64 (/.f64 1/3 x)))
(/.f64 1/3 x)
(exp.f64 (log.f64 (/.f64 1/3 x)))
(/.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 x)) 1))
(/.f64 1/3 x)
(log1p.f64 (expm1.f64 (/.f64 1/3 x)))
(/.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y 1/3)))) 1)
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 1 (.f64 x (/.f64 y 1/3)))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(*.f64 x (/.f64 y 1/3))
(.f64 x (.f64 3 y))
(*.f64 (/.f64 x 1/3) y)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 y (.f64 x 3))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 (.f64 x (/.f64 y 1/3)) 1)
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 x 3)))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 (sqrt.f64 (.f64 x (/.f64 y 1/3))) (sqrt.f64 (*.f64 x (/.f64 y 1/3))))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (*.f64 x 3)))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 (cbrt.f64 (.f64 x (/.f64 y 1/3))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y 1/3))) 2))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 y 1/3))) 2) (cbrt.f64 (*.f64 x (/.f64 y 1/3))))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 (.f64 y x) 3)
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 (.f64 x 3) y)
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (/.f64 1/3 x))))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 (/.f64 y 1) (.f64 x 3))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 1/3 x))) (/.f64 y (sqrt.f64 (/.f64 1/3 x))))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 y (cbrt.f64 (/.f64 1/3 x))))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(*.f64 (/.f64 y (/.f64 -1 x)) -3)
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 1/3 x)))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 1 x)) (/.f64 (sqrt.f64 y) 1/3))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 x))))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 1/3 x)))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 x)) (/.f64 (cbrt.f64 y) 1/3))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 1/3 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 x))))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (cbrt.f64 (.f64 x (/.f64 y 1/3))))
(.f64 (cbrt.f64 (.f64 x (/.f64 y 1/3))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)))
(.f64 (cbrt.f64 (.f64 (/.f64 x 1/3) y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)))
(pow.f64 (*.f64 x (/.f64 y 1/3)) 1)
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y 1/3))) 2)
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y 1/3))) 3)
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(pow.f64 (pow.f64 (*.f64 x (/.f64 y 1/3)) 3) 1/3)
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(pow.f64 (/.f64 (/.f64 1/3 x) y) -1)
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(neg.f64 (/.f64 y (neg.f64 (/.f64 1/3 x))))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y 1/3)) 2))
(fabs.f64 (*.f64 x (/.f64 y 1/3)))
(fabs.f64 (*.f64 (/.f64 x 1/3) y))
(log.f64 (exp.f64 (*.f64 x (/.f64 y 1/3))))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 y 1/3)))))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y 1/3)) 3))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y 1/3))))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(exp.f64 (log.f64 (*.f64 x (/.f64 y 1/3))))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 y 1/3))) 1))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y 1/3))))
(.f64 x (.f64 3 y))
(*.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x 1/3) y)

eval38.0ms (0.7%)

Compiler: Compiled 1555 to 1065 computations (31.5% saved)

prune23.0ms (0.4%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	181	10	191

Error

Counts

191 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	49.14%	(/.f64 y (/.f64 (/.f64 1 x) 3))
✓	49.11%	(/.f64 y (/.f64 1/3 x))
✓	49.33%	(/.f64 y -29/12)
✓	0.35%	(*.f64 (fma.f64 x 3 -12/29) y)
✓	0.29%	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.43%	(.f64 (+.f64 x -4/29) (.f64 3 y))
✓	49.06%	(.f64 (.f64 3 x) y)
✓	49.12%	(.f64 x (.f64 y 3))
✓	49.12%	(.f64 3 (.f64 y x))
✓	49.16%	(*.f64 -12/29 y)

Compiler

Compiled 73 to 55 computations (24.7% saved)

regimes86.0ms (1.6%)

Counts

21 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(/.f64 y -29/12)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))
(.f64 (.f64 3 x) y)
(/.f64 y (/.f64 1/3 x))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (+.f64 x -4/29) (.f64 3 y))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(/.f64 y (/.f64 (/.f64 1 x) 3))
(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))
(/.f64 (.f64 (.f64 3 (*.f64 x x)) y) (+.f64 x 4/29))
(*.f64 (fma.f64 x 3 -12/29) y)
(pow.f64 (/.f64 1/3 (*.f64 y (+.f64 x -4/29))) -1)
(/.f64 y (/.f64 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) 3))
(/.f64 (.f64 (.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29))
(.f64 (/.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) (+.f64 (.f64 x x) (-.f64 16/841 (.f64 x -4/29)))) y)
(pow.f64 (cbrt.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y)) 3)

Outputs
(.f64 (-.f64 (.f64 3 x) 12/29) y)

Calls

5 calls:

11.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
11.0ms	y
11.0ms	x
7.0ms	(*.f64 (-.f64 x (/.f64 16 116)) 3)
6.0ms	(-.f64 x (/.f64 16 116))

Results

Error	Segments	Branch
0.29%	1	`x`
0.29%	1	`y`
0.29%	1	`(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)`
0.29%	1	`(*.f64 (-.f64 x (/.f64 16 116)) 3)`
0.29%	1	`(-.f64 x (/.f64 16 116))`

Compiler

Compiled 198 to 143 computations (27.8% saved)

regimes14.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(/.f64 y -29/12)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))
(.f64 (.f64 3 x) y)
(/.f64 y (/.f64 1/3 x))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (+.f64 x -4/29) (.f64 3 y))

Outputs
(.f64 (+.f64 x -4/29) (.f64 3 y))

Calls

2 calls:

6.0ms	x
6.0ms	y

Results

Error	Segments	Branch
0.43%	1	`x`
0.43%	1	`y`

Compiler

Compiled 53 to 36 computations (32.1% saved)

regimes15.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(/.f64 y -29/12)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))
(.f64 (.f64 3 x) y)
(/.f64 y (/.f64 1/3 x))
(.f64 3 (.f64 y (-.f64 x 4/29)))

Outputs
(.f64 3 (.f64 y (-.f64 x 4/29)))

Calls

2 calls:

8.0ms	y
5.0ms	x

Results

Error	Segments	Branch
0.49%	1	`x`
0.49%	1	`y`

Compiler

Compiled 46 to 31 computations (32.6% saved)

regimes48.0ms (0.9%)

Counts

7 → 3

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(/.f64 y -29/12)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))
(.f64 (.f64 3 x) y)
(/.f64 y (/.f64 1/3 x))

Outputs
(/.f64 y (/.f64 1/3 x))
(*.f64 -12/29 y)
(.f64 (.f64 3 x) y)

Calls

2 calls:

32.0ms	y
15.0ms	x

Results

Error	Segments	Branch
2.31%	3	`x`
31.57%	7	`y`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch94.0ms (1.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	4.254729761223977e-12	3.7032278077072416
71.0ms	-1231.574293666808	-0.007476776960847055

Results

83.0ms

304×

body

256

valid

Compiler

Compiled 282 to 222 computations (21.3% saved)

regimes48.0ms (0.9%)

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(/.f64 y -29/12)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))
(.f64 (.f64 3 x) y)

Outputs
(.f64 (.f64 3 x) y)
(*.f64 -12/29 y)
(.f64 (.f64 3 x) y)

Calls

2 calls:

33.0ms	y
14.0ms	x

Results

Error	Segments	Branch
2.31%	3	`x`
31.59%	7	`y`

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch36.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.254729761223977e-12	3.7032278077072416
17.0ms	-1231.574293666808	-0.007476776960847055

Results

29.0ms

304×

body

256

valid

Compiler

Compiled 282 to 222 computations (21.3% saved)

regimes64.0ms (1.2%)

Counts

5 → 3

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(/.f64 y -29/12)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))

Outputs
(.f64 3 (.f64 y x))
(*.f64 -12/29 y)
(.f64 3 (.f64 y x))

Calls

2 calls:

50.0ms	y
13.0ms	x

Results

Error	Segments	Branch
2.37%	3	`x`
31.6%	7	`y`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch35.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.254729761223977e-12	3.7032278077072416
17.0ms	-1231.574293666808	-0.007476776960847055

Results

30.0ms

304×

body

256

valid

Compiler

Compiled 282 to 222 computations (21.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.2b remaining (-0.7%)

Threshold costs -0.2b (-0.7%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(/.f64 y -29/12)
(.f64 3 (.f64 y -4/29))

Outputs
(*.f64 -12/29 y)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
49.16%	1	`x`
49.16%	1	`y`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
4×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	205
1	60	205
2	61	205

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 (+.f64 x -4/29) (.f64 3 y))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(if (<=.f64 x -1261007895663739/9007199254740992) (/.f64 y (/.f64 1/3 x)) (if (<=.f64 x 1261007895663739/9007199254740992) (.f64 -12/29 y) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -1261007895663739/9007199254740992) (.f64 (.f64 3 x) y) (if (<=.f64 x 1261007895663739/9007199254740992) (.f64 -12/29 y) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -1261007895663739/9007199254740992) (.f64 3 (.f64 y x)) (if (<=.f64 x 1261007895663739/9007199254740992) (.f64 -12/29 y) (.f64 3 (*.f64 y x))))
(*.f64 -12/29 y)

Outputs
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 (+.f64 (.f64 3 x) -12/29) y)
(.f64 (+.f64 x -4/29) (.f64 3 y))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(if (<=.f64 x -1261007895663739/9007199254740992) (/.f64 y (/.f64 1/3 x)) (if (<=.f64 x 1261007895663739/9007199254740992) (.f64 -12/29 y) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -1261007895663739/9007199254740992) (/.f64 y (/.f64 1/3 x)) (if (<=.f64 x 1261007895663739/9007199254740992) (.f64 y -12/29) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -1261007895663739/9007199254740992) (.f64 (.f64 3 x) y) (if (<=.f64 x 1261007895663739/9007199254740992) (.f64 -12/29 y) (.f64 (*.f64 3 x) y)))
(if (or (<=.f64 x -1261007895663739/9007199254740992) (not (<=.f64 x 1261007895663739/9007199254740992))) (.f64 (.f64 3 x) y) (*.f64 y -12/29))
(if (<=.f64 x -1261007895663739/9007199254740992) (.f64 3 (.f64 y x)) (if (<=.f64 x 1261007895663739/9007199254740992) (.f64 -12/29 y) (.f64 3 (*.f64 y x))))
(if (or (<=.f64 x -1261007895663739/9007199254740992) (not (<=.f64 x 1261007895663739/9007199254740992))) (.f64 3 (.f64 x y)) (*.f64 y -12/29))
(*.f64 -12/29 y)
(*.f64 y -12/29)

Compiler

Compiled 93 to 69 computations (25.8% saved)

soundness0.0ms (0%)

end50.0ms (0.9%)

Compiler: Compiled 81 to 57 computations (29.6% saved)