Details

analyze111.0ms (1.9%)

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)

sample1.0s (17.6%)

Results

978.0ms	8256×	body	256	valid
24.0ms	141×	body	256	infinite

Bogosity

preprocess18.0ms (0.3%)

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)

simplify14.0ms (0.2%)

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

0.1b

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.3b	(.f64 (+.f64 x -4/29) (.f64 3 y))
▶	0.2b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 25 computations (19.4% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite80.0ms (1.4%)

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

Outputs

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

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

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1050×	`*-commutative`
1012×	`associate-/l/`
986×	`associate-/r*`
906×	`associate-*r/`
888×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	3549
1	677	3255
2	2537	3253

Stop Event

1×	node limit

Counts

133 → 162

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.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	@	0	(.f64 (+.f64 x -4/29) (.f64 3 y))
0.0ms	x	@	inf	(.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))

rewrite57.0ms (1%)

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))))))))

simplify56.0ms (1%)

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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series3.0ms (0%)

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%)

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 (0.9%)

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)

eval108.0ms (1.9%)

Compiler: Compiled 3442 to 2546 computations (26% saved)

prune90.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	241	10	251
Fresh	0	0	0
Picked	0	1	1
Done	2	0	2
Total	243	11	254

Error

Counts

254 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.0b	(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 3 y)))
	18.8b	(/.f64 (.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) y) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
	18.5b	(/.f64 (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (.f64 x x) (-.f64 16/841 (.f64 x -4/29))))
	0.3b	(/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
	37.5b	(.f64 (.f64 3 x) y)
▶	37.5b	(.f64 x (.f64 y 3))
▶	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
	37.5b	(.f64 3 (.f64 y x))
▶	25.8b	(*.f64 -12/29 y)

Compiler

Compiled 228 to 172 computations (24.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 3 x) 12/29)
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series2.0ms (0%)

Counts

2 → 15

Calls

9 calls:

Time	Variable		Point	Expression
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	@	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)

rewrite63.0ms (1.1%)

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

simplify83.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1420×	`associate-+r+`
1336×	`associate-+l+`
882×	`associate-/l*`
684×	`unswap-sqr`
466×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	133	1240
1	301	1152
2	1104	1152
3	3920	1152

Stop Event

1×	node limit

Counts

68 → 74

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

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.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)
1.0ms	y	@	-inf	(*.f64 -12/29 y)
0.0ms	y	@	0	(*.f64 -12/29 y)

rewrite48.0ms (0.8%)

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)))))))

simplify62.0ms (1.1%)

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
✓	0.2b	(.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
1.0ms	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))

rewrite81.0ms (1.4%)

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))))))))

simplify54.0ms (0.9%)

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 (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y (-.f64 x 4/29))
✓	0.3b	(.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	y	@	0	(.f64 3 (.f64 y (-.f64 x 4/29)))
0.0ms	y	@	inf	(.f64 3 (.f64 y (-.f64 x 4/29)))
0.0ms	x	@	-inf	(.f64 3 (.f64 y (-.f64 x 4/29)))

rewrite61.0ms (1.1%)

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))))))))

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

806×	`distribute-rgt-out`
754×	`distribute-lft-in`
734×	`distribute-rgt-in`
696×	`associate--r+`
586×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	1050
1	246	1038
2	816	942
3	3743	942
4	5901	942

Stop Event

1×	node limit

Counts

60 → 64

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

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x -16/841)
✓	0.2b	(/.f64 (+.f64 x 4/29) (*.f64 3 y))
✓	13.6b	(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 3 y)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series9.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 (+.f64 x 4/29) (*.f64 3 y))
1.0ms	y	@	0	(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 3 y)))
1.0ms	x	@	0	(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 3 y)))
1.0ms	y	@	inf	(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 3 y)))
1.0ms	x	@	inf	(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 3 y)))

rewrite152.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`associate-/r/`
1046×	`associate-/l/`
590×	`distribute-rgt-in`
562×	`distribute-lft-in`
290×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	286	47
2	3851	47

Stop Event

1×	node limit

Counts

3 → 221

Calls

Call 1

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

Outputs

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

((#(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 1 (*.f64 (*.f64 x x) 1)) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) 1) 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 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)))))))

simplify122.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1606×	`associate-/l*`
1248×	`associate-l`
1152×	`associate-r`
946×	`*-commutative`
784×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	563	8611
1	1746	8541

Stop Event

1×	node limit

Counts

281 → 325

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

eval160.0ms (2.8%)

Compiler: Compiled 7871 to 5616 computations (28.6% saved)

prune94.0ms (1.6%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	482	6	488
Fresh	2	3	5
Picked	1	0	1
Done	1	4	5
Total	486	13	499

Error

Counts

499 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	20.1b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) (-.f64 (.f64 x x) -16/841)) (/.f64 (+.f64 x 4/29) (*.f64 3 y)))
	50.9b	(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
▶	0.3b	(/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))
▶	10.0b	(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)) y)
	0.4b	(*.f64 (/.f64 (+.f64 x -4/29) (/.f64 1 y)) 3)
▶	0.2b	(*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
▶	37.5b	(.f64 (.f64 3 x) y)
✓	37.5b	(.f64 x (.f64 y 3))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
	37.5b	(.f64 3 (.f64 y x))
▶	25.9b	(.f64 3 (.f64 y -4/29))
✓	25.8b	(*.f64 -12/29 y)

Compiler

Compiled 244 to 179 computations (26.6% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 x -4/29) 1/3)
✓	0.2b	(*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)

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

rewrite70.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1180×	`associate-*r/`
972×	`associate-*l/`
866×	`*-commutative`
622×	`unswap-sqr`
506×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	200	32
2	2494	32

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -4/29) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 -1/3 (-.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 -1/3 (-.f64 4/29 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1/3 y) (/.f64 1 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (/.f64 -1/3 (-.f64 4/29 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x -4/29)) (/.f64 (/.f64 1/3 y) (sqrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x -4/29)) (/.f64 1/3 (*.f64 y (sqrt.f64 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 y) (/.f64 (/.f64 -1/3 (-.f64 4/29 x)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 -1/3 (-.f64 4/29 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 (/.f64 1/3 y) (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) (/.f64 (/.f64 1/3 y) (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (/.f64 1/3 (*.f64 y (cbrt.f64 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -4/29) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (/.f64 (/.f64 1/3 y) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (*.f64 (/.f64 1/3 y) (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -64/24389 (pow.f64 x 3)) (/.f64 (/.f64 1/3 y) (/.f64 1 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -64/24389 (pow.f64 x 3)) (*.f64 (/.f64 1/3 y) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4/29 x) (/.f64 -1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (+.f64 x -4/29) y)) (/.f64 1/3 (sqrt.f64 (*.f64 (+.f64 x -4/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) y)) (cbrt.f64 (*.f64 (+.f64 x -4/29) y))) (/.f64 1/3 (cbrt.f64 (*.f64 (+.f64 x -4/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -4/29) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -4/29) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (sqrt.f64 (+.f64 x -4/29))) (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 4/29 x)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x x -16/841)) (+.f64 (*.f64 1/3 x) 4/87))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 1/3 (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/841)) (*.f64 (/.f64 1/3 y) (+.f64 (neg.f64 x) -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (neg.f64 (pow.f64 x 3))) (*.f64 (/.f64 1/3 y) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x -4/29))) (/.f64 1/3 (*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 x x)) (*.f64 (/.f64 1/3 y) (-.f64 -4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 1/3 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (fma.f64 x x -16/841) 3)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 3 (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1) (/.f64 1/3 (-.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)) (sqrt.f64 (*.f64 (+.f64 x -4/29) y))) (sqrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)) 2) (cbrt.f64 (*.f64 (+.f64 x -4/29) y))) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) 1) (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 (-.f64 4/29 x))) (sqrt.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)) 1) (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)) (cbrt.f64 (+.f64 x -4/29))) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)) (cbrt.f64 (-.f64 4/29 x))) (cbrt.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 y 3)) (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/841) (*.f64 y 3)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64/24389 (pow.f64 x 3)) (*.f64 y 3)) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 x x -16/841)) (*.f64 y 3)) (+.f64 (neg.f64 x) -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64/24389 (neg.f64 (pow.f64 x 3))) (*.f64 y 3)) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16/841 (*.f64 x x)) (*.f64 y 3)) (-.f64 -4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) y) (/.f64 1/3 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 x x -16/841) 3) y) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (+.f64 -64/24389 (pow.f64 x 3))) y) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 y) (/.f64 1/3 (-.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (-.f64 4/29 x)) 1) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 x -4/29) y)) (sqrt.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y))) (sqrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))) (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))) (sqrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 4/29 x)) (*.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))) (sqrt.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)) 2)) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (fma.f64 x x -16/841)) 3) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (+.f64 -64/24389 (pow.f64 x 3))) 3) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1/3) (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1) (/.f64 -1/3 (-.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (*.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))) (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (/.f64 1/3 (fma.f64 x x -16/841))) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 x -4/29) -1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (/.f64 (+.f64 x -4/29) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 x -4/29) y) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x -4/29) 1/3)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) 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 -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 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -4/29) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -4/29) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -4/29) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -4/29) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 (sqrt.f64 (+.f64 x -4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (*.f64 (cbrt.f64 (+.f64 x -4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2) (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4/29 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x -4/29)) 3) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 x -4/29)) 3) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (-.f64 4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -4/29)) 1/3) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) 1/3) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x x -16/841) 3) (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) 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 3 (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))) (+.f64 (fma.f64 x x -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 3 (+.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 (*.f64 x (pow.f64 x 3)) (*.f64 (+.f64 16/841 (*.f64 x 4/29)) (-.f64 (+.f64 16/841 (*.f64 x 4/29)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))) (*.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1/3 (-.f64 4/29 x)) -1/2) (pow.f64 (/.f64 -1/3 (-.f64 4/29 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 (-.f64 4/29 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -4/29) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 x -4/29) -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 x -4/29) -3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (+.f64 x -4/29) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 4/29 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -4/29) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -4/29) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -4/29) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x -4/29) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -4/29) 1/3)))))))

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1654×	`associate-/l*`
1560×	`unswap-sqr`
1122×	`associate-/r*`
900×	`associate-/r/`
402×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	357	4384
1	960	3974
2	3401	3602

Stop Event

1×	node limit

Counts

168 → 205

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 -4/29) 1/3) y))) 1)
(/.f64 (+.f64 x -4/29) (/.f64 1/3 y))
(/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))
(/.f64 1 (/.f64 (/.f64 -1/3 (-.f64 4/29 x)) y))
(/.f64 1 (*.f64 (/.f64 1/3 y) (/.f64 1 (+.f64 x -4/29))))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 -1/3 (-.f64 4/29 x)) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (+.f64 x -4/29)) (/.f64 (/.f64 1/3 y) (sqrt.f64 (+.f64 x -4/29))))
(/.f64 (sqrt.f64 (+.f64 x -4/29)) (/.f64 1/3 (*.f64 y (sqrt.f64 (+.f64 x -4/29)))))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 -1/3 (-.f64 4/29 x)) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 -1/3 (-.f64 4/29 x)) (cbrt.f64 y)))
(/.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 (/.f64 1/3 y) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (/.f64 (/.f64 1/3 y) (cbrt.f64 (+.f64 x -4/29))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (/.f64 1/3 (*.f64 y (cbrt.f64 (+.f64 x -4/29)))))
(/.f64 (*.f64 (+.f64 x -4/29) y) 1/3)
(/.f64 (fma.f64 x x -16/841) (/.f64 (/.f64 1/3 y) (/.f64 1 (+.f64 x 4/29))))
(/.f64 (fma.f64 x x -16/841) (*.f64 (/.f64 1/3 y) (+.f64 x 4/29)))
(/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (/.f64 (/.f64 1/3 y) (/.f64 1 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))))
(/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (.f64 (/.f64 1/3 y) (+.f64 16/841 (.f64 x (+.f64 x 4/29)))))
(/.f64 (-.f64 4/29 x) (/.f64 -1/3 y))
(/.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) y)) (/.f64 1/3 (sqrt.f64 (.f64 (+.f64 x -4/29) y))))
(/.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) y)) (cbrt.f64 (.f64 (+.f64 x -4/29) y))) (/.f64 1/3 (cbrt.f64 (.f64 (+.f64 x -4/29) y))))
(/.f64 (*.f64 (+.f64 x -4/29) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))
(/.f64 (*.f64 (+.f64 x -4/29) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))
(/.f64 (*.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))
(/.f64 (*.f64 y (sqrt.f64 (+.f64 x -4/29))) (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29))))
(/.f64 (*.f64 y (-.f64 4/29 x)) -1/3)
(/.f64 (.f64 y (fma.f64 x x -16/841)) (+.f64 (.f64 1/3 x) 4/87))
(/.f64 (.f64 y (+.f64 -64/24389 (pow.f64 x 3))) (.f64 1/3 (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))))
(/.f64 (neg.f64 (fma.f64 x x -16/841)) (*.f64 (/.f64 1/3 y) (+.f64 (neg.f64 x) -4/29)))
(/.f64 (+.f64 64/24389 (neg.f64 (pow.f64 x 3))) (.f64 (/.f64 1/3 y) (neg.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29))))))
(/.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x -4/29))) (/.f64 1/3 (.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x -4/29)))))
(/.f64 (-.f64 16/841 (.f64 x x)) (.f64 (/.f64 1/3 y) (-.f64 -4/29 x)))
(/.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 1/3 (cbrt.f64 (+.f64 x -4/29))))
(/.f64 (.f64 y (.f64 (fma.f64 x x -16/841) 3)) (+.f64 x 4/29))
(/.f64 (.f64 y (.f64 3 (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))
(/.f64 (*.f64 y -1) (/.f64 1/3 (-.f64 4/29 x)))
(/.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 x -4/29) 1/3) y)) (sqrt.f64 (*.f64 (+.f64 x -4/29) y))) (sqrt.f64 1/3))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 x -4/29) 1/3) y)) 2) (cbrt.f64 (*.f64 (+.f64 x -4/29) y))) (cbrt.f64 1/3))
(/.f64 (.f64 (.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) 1) (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))
(/.f64 (.f64 (.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 1/3))
(/.f64 (.f64 (.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 (-.f64 4/29 x))) (sqrt.f64 -1/3))
(/.f64 (.f64 (.f64 y (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)) 1) (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))
(/.f64 (.f64 (.f64 y (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)) (cbrt.f64 (+.f64 x -4/29))) (cbrt.f64 1/3))
(/.f64 (.f64 (.f64 y (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)) (cbrt.f64 (-.f64 4/29 x))) (cbrt.f64 -1/3))
(/.f64 (.f64 1 (.f64 y 3)) (/.f64 1 (+.f64 x -4/29)))
(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 y 3)) (+.f64 x 4/29))
(/.f64 (.f64 (+.f64 -64/24389 (pow.f64 x 3)) (.f64 y 3)) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))
(/.f64 (.f64 (neg.f64 (fma.f64 x x -16/841)) (.f64 y 3)) (+.f64 (neg.f64 x) -4/29))
(/.f64 (.f64 (+.f64 64/24389 (neg.f64 (pow.f64 x 3))) (.f64 y 3)) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))))
(/.f64 (.f64 (-.f64 16/841 (.f64 x x)) (*.f64 y 3)) (-.f64 -4/29 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) y) (/.f64 1/3 (cbrt.f64 (+.f64 x -4/29))))
(/.f64 (.f64 (.f64 (fma.f64 x x -16/841) 3) y) (+.f64 x 4/29))
(/.f64 (.f64 (.f64 3 (+.f64 -64/24389 (pow.f64 x 3))) y) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))
(/.f64 (*.f64 -1 y) (/.f64 1/3 (-.f64 4/29 x)))
(/.f64 (.f64 (.f64 y (-.f64 4/29 x)) 1) -1/3)
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) y)) (sqrt.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y))) (sqrt.f64 1/3))
(/.f64 (.f64 1 (.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))) (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x -4/29)) (.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))) (sqrt.f64 1/3))
(/.f64 (.f64 (sqrt.f64 (-.f64 4/29 x)) (.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))) (sqrt.f64 -1/3))
(/.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)) 2)) (cbrt.f64 1/3))
(/.f64 (.f64 (.f64 y (fma.f64 x x -16/841)) 3) (+.f64 x 4/29))
(/.f64 (.f64 (.f64 y (+.f64 -64/24389 (pow.f64 x 3))) 3) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))
(/.f64 (/.f64 y 1/3) (/.f64 1 (+.f64 x -4/29)))
(/.f64 (/.f64 y 1) (/.f64 -1/3 (-.f64 4/29 x)))
(/.f64 (/.f64 y (*.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))) (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))
(/.f64 (/.f64 y (/.f64 1/3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(/.f64 (/.f64 y (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))
(pow.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (+.f64 x -4/29) -1/3) y))
(neg.f64 (*.f64 y (/.f64 (+.f64 x -4/29) -1/3)))
(neg.f64 (/.f64 (*.f64 (+.f64 x -4/29) y) -1/3))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x -4/29) 1/3)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)))
(+.f64 (*.f64 3 x) -12/29)
(+.f64 -12/29 (*.f64 3 x))
(+.f64 -12/29 (*.f64 x 3))
(+.f64 (*.f64 x 3) -12/29)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -4/29) 1/3))) 1)
(*.f64 (+.f64 x -4/29) 3)
(*.f64 (/.f64 (+.f64 x -4/29) 1/3) 1)
(*.f64 1 (/.f64 (+.f64 x -4/29) 1/3))
(.f64 (sqrt.f64 (+.f64 x -4/29)) (.f64 (sqrt.f64 (+.f64 x -4/29)) 3))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (.f64 (cbrt.f64 (+.f64 x -4/29)) 3))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2) (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))
(*.f64 3 (+.f64 x -4/29))
(*.f64 (-.f64 4/29 x) -3)
(.f64 (.f64 (sqrt.f64 (+.f64 x -4/29)) 3) (sqrt.f64 (+.f64 x -4/29)))
(.f64 (.f64 (cbrt.f64 (+.f64 x -4/29)) 3) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))
(*.f64 -3 (-.f64 4/29 x))
(*.f64 (/.f64 1 (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 x -4/29)))
(*.f64 (/.f64 1 (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -4/29)) 1/3) (sqrt.f64 (+.f64 x -4/29)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) 1/3) (cbrt.f64 (+.f64 x -4/29)))
(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) (fma.f64 x x -16/841)) (+.f64 x -4/29))
(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) (-.f64 (pow.f64 x 3) -64/24389)) (+.f64 (.f64 x x) (+.f64 16/841 (.f64 x -4/29))))
(.f64 (/.f64 (.f64 3 (+.f64 -64/24389 (pow.f64 x 3))) (.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29))) (+.f64 (fma.f64 x x -16/841) (.f64 x -4/29)))) (+.f64 (fma.f64 x x -16/841) (.f64 x -4/29)))
(.f64 (/.f64 (.f64 3 (+.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 (.f64 x (pow.f64 x 3)) (.f64 (+.f64 16/841 (.f64 x 4/29)) (-.f64 (+.f64 16/841 (.f64 x 4/29)) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))) (*.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3) 1/6))
(*.f64 (pow.f64 (/.f64 -1/3 (-.f64 4/29 x)) -1/2) (pow.f64 (/.f64 -1/3 (-.f64 4/29 x)) -1/2))
(pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3) 1/3)
(pow.f64 (/.f64 -1/3 (-.f64 4/29 x)) -1)
(neg.f64 (/.f64 (+.f64 x -4/29) -1/3))
(neg.f64 (*.f64 (/.f64 (+.f64 x -4/29) -1/3) 1))
(neg.f64 (*.f64 (+.f64 x -4/29) -3))
(neg.f64 (*.f64 1 (/.f64 (+.f64 x -4/29) -1/3)))
(neg.f64 (/.f64 (-.f64 4/29 x) 1/3))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x -4/29) 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -4/29) 1/3))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x -4/29) 1/3)))
(exp.f64 (log.f64 (/.f64 (+.f64 x -4/29) 1/3)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x -4/29) 1/3)))

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 (fma.f64 3 x -12/29))
(+.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 (fma.f64 3 x -12/29))
(+.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 (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))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.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 (fma.f64 3 x -12/29))
(+.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 (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))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.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 (fma.f64 3 x -12/29))
(+.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 (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.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 -4/29) 1/3) y))) 1)
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (+.f64 x -4/29) (/.f64 1/3 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 1 (/.f64 (/.f64 -1/3 (-.f64 4/29 x)) y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 1 (*.f64 (/.f64 1/3 y) (/.f64 1 (+.f64 x -4/29))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 -1/3 (-.f64 4/29 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 -1/3 (-.f64 4/29 x))) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) -1/3) (-.f64 4/29 x)))
(.f64 (fma.f64 3 x -12/29) (.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (+.f64 x -4/29)) (/.f64 (/.f64 1/3 y) (sqrt.f64 (+.f64 x -4/29))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (sqrt.f64 (+.f64 x -4/29)) (/.f64 1/3 (*.f64 y (sqrt.f64 (+.f64 x -4/29)))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 -1/3 (-.f64 4/29 x)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (cbrt.f64 y) (/.f64 -1/3 (-.f64 4/29 x))) (pow.f64 (cbrt.f64 y) 2))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (/.f64 (cbrt.f64 y) -1/3) (-.f64 4/29 x)))
(.f64 (fma.f64 3 x -12/29) (.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 -1/3 (-.f64 4/29 x)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 y) (/.f64 -1/3 (-.f64 4/29 x))) (pow.f64 (cbrt.f64 y) 2))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (/.f64 (cbrt.f64 y) -1/3) (-.f64 4/29 x)))
(.f64 (fma.f64 3 x -12/29) (.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)))
(/.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 (/.f64 1/3 y) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (/.f64 (/.f64 1/3 y) (cbrt.f64 (+.f64 x -4/29))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (/.f64 1/3 (*.f64 y (cbrt.f64 (+.f64 x -4/29)))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (*.f64 (+.f64 x -4/29) y) 1/3)
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (fma.f64 x x -16/841) (/.f64 (/.f64 1/3 y) (/.f64 1 (+.f64 x 4/29))))
(*.f64 (/.f64 (fma.f64 x x -16/841) (/.f64 1/3 y)) (/.f64 1 (+.f64 x 4/29)))
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(/.f64 (.f64 (sqrt.f64 (-.f64 4/29 x)) (.f64 y (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))) (sqrt.f64 -1/3))
(/.f64 (.f64 (.f64 (sqrt.f64 (-.f64 4/29 x)) y) (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 -1/3))
(.f64 (/.f64 (.f64 y (sqrt.f64 (fma.f64 3 x -12/29))) (sqrt.f64 -1/3)) (sqrt.f64 (-.f64 4/29 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 3 x -12/29)) (/.f64 (sqrt.f64 -1/3) y)) (sqrt.f64 (-.f64 4/29 x)))
(/.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)) 2)) (cbrt.f64 1/3))
(/.f64 (pow.f64 (cbrt.f64 (.f64 y (/.f64 (+.f64 x -4/29) 1/3))) 2) (/.f64 (cbrt.f64 1/3) (cbrt.f64 (.f64 y (+.f64 x -4/29)))))
(.f64 (/.f64 (cbrt.f64 (.f64 y (+.f64 x -4/29))) (cbrt.f64 1/3)) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))) 2))
(/.f64 (.f64 (.f64 y (fma.f64 x x -16/841)) 3) (+.f64 x 4/29))
(*.f64 (/.f64 (fma.f64 x x -16/841) (/.f64 1/3 y)) (/.f64 1 (+.f64 x 4/29)))
(*.f64 (/.f64 y (fma.f64 x 1/3 4/87)) (fma.f64 x x -16/841))
(/.f64 (fma.f64 x x -16/841) (/.f64 (fma.f64 x 1/3 4/87) y))
(/.f64 (.f64 (.f64 y (+.f64 -64/24389 (pow.f64 x 3))) 3) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))
(.f64 (/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (/.f64 1/3 y)) (/.f64 1 (+.f64 16/841 (.f64 x (+.f64 x 4/29)))))
(.f64 (/.f64 (+.f64 -192/24389 (.f64 3 (pow.f64 x 3))) (fma.f64 x (+.f64 x 4/29) 16/841)) y)
(.f64 (.f64 (/.f64 3 (fma.f64 x (+.f64 x 4/29) 16/841)) (+.f64 -64/24389 (pow.f64 x 3))) y)
(/.f64 (/.f64 y 1/3) (/.f64 1 (+.f64 x -4/29)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (/.f64 y 1) (/.f64 -1/3 (-.f64 4/29 x)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (/.f64 y (*.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))) (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (/.f64 y (/.f64 1/3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(*.f64 (/.f64 (fma.f64 x x -16/841) (/.f64 1/3 y)) (/.f64 1 (+.f64 x 4/29)))
(*.f64 (/.f64 y (fma.f64 x 1/3 4/87)) (fma.f64 x x -16/841))
(/.f64 (fma.f64 x x -16/841) (/.f64 (fma.f64 x 1/3 4/87) y))
(/.f64 (/.f64 y (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))
(.f64 (/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (/.f64 1/3 y)) (/.f64 1 (+.f64 16/841 (.f64 x (+.f64 x 4/29)))))
(.f64 (/.f64 (+.f64 -192/24389 (.f64 3 (pow.f64 x 3))) (fma.f64 x (+.f64 x 4/29) 16/841)) y)
(.f64 (.f64 (/.f64 3 (fma.f64 x (+.f64 x 4/29) 16/841)) (+.f64 -64/24389 (pow.f64 x 3))) y)
(pow.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y) 1)
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)) 2)
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)) 3)
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y) 3) 1/3)
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(neg.f64 (*.f64 (/.f64 (+.f64 x -4/29) -1/3) y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(neg.f64 (*.f64 y (/.f64 (+.f64 x -4/29) -1/3)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(neg.f64 (/.f64 (*.f64 (+.f64 x -4/29) y) -1/3))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y) 2))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (+.f64 x -4/29) 1/3)) 2))
(fabs.f64 (*.f64 y (fma.f64 3 x -12/29)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x -4/29) 1/3)) y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y) 3))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 x -4/29) 1/3) y)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(*.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 -12/29 (*.f64 x 3))
(fma.f64 3 x -12/29)
(+.f64 (*.f64 x 3) -12/29)
(fma.f64 3 x -12/29)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -4/29) 1/3))) 1)
(fma.f64 3 x -12/29)
(*.f64 (+.f64 x -4/29) 3)
(fma.f64 3 x -12/29)
(*.f64 (/.f64 (+.f64 x -4/29) 1/3) 1)
(fma.f64 3 x -12/29)
(*.f64 1 (/.f64 (+.f64 x -4/29) 1/3))
(fma.f64 3 x -12/29)
(.f64 (sqrt.f64 (+.f64 x -4/29)) (.f64 (sqrt.f64 (+.f64 x -4/29)) 3))
(fma.f64 3 x -12/29)
(*.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))
(fma.f64 3 x -12/29)
(.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (.f64 (cbrt.f64 (+.f64 x -4/29)) 3))
(fma.f64 3 x -12/29)
(*.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2))
(fma.f64 3 x -12/29)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2) (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))
(fma.f64 3 x -12/29)
(*.f64 3 (+.f64 x -4/29))
(fma.f64 3 x -12/29)
(*.f64 (-.f64 4/29 x) -3)
(fma.f64 3 x -12/29)
(.f64 (.f64 (sqrt.f64 (+.f64 x -4/29)) 3) (sqrt.f64 (+.f64 x -4/29)))
(fma.f64 3 x -12/29)
(.f64 (.f64 (cbrt.f64 (+.f64 x -4/29)) 3) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))
(fma.f64 3 x -12/29)
(*.f64 -3 (-.f64 4/29 x))
(fma.f64 3 x -12/29)
(*.f64 (/.f64 1 (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 x -4/29)))
(fma.f64 3 x -12/29)
(*.f64 (/.f64 1 (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29)))
(fma.f64 3 x -12/29)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -4/29)) 1/3) (sqrt.f64 (+.f64 x -4/29)))
(fma.f64 3 x -12/29)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) 1/3) (cbrt.f64 (+.f64 x -4/29)))
(fma.f64 3 x -12/29)
(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) (fma.f64 x x -16/841)) (+.f64 x -4/29))
(*.f64 (+.f64 x -4/29) (/.f64 (fma.f64 x x -16/841) (/.f64 (fma.f64 x x -16/841) 3)))
(/.f64 (*.f64 (fma.f64 x x -16/841) (fma.f64 3 x -12/29)) (fma.f64 x x -16/841))
(/.f64 (fma.f64 x x -16/841) (/.f64 (fma.f64 x x -16/841) (fma.f64 3 x -12/29)))
(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 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 (+.f64 (pow.f64 x 3) 64/24389) 3)) (fma.f64 x x (+.f64 16/841 (.f64 x -4/29))))
(*.f64 (/.f64 (fma.f64 x x -16/841) (-.f64 (/.f64 (pow.f64 x 3) 3) -64/73167)) (fma.f64 x x (fma.f64 x -4/29 16/841)))
(.f64 (/.f64 (.f64 3 (+.f64 -64/24389 (pow.f64 x 3))) (.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29))) (+.f64 (fma.f64 x x -16/841) (.f64 x -4/29)))) (+.f64 (fma.f64 x x -16/841) (.f64 x -4/29)))
(.f64 (+.f64 (fma.f64 x x -16/841) (.f64 x -4/29)) (.f64 (/.f64 3 (+.f64 16/841 (.f64 x (+.f64 x 4/29)))) (/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (+.f64 (fma.f64 x x -16/841) (*.f64 x -4/29)))))
(.f64 (fma.f64 x -4/29 (fma.f64 x x -16/841)) (.f64 (/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x (+.f64 x 4/29) 16/841)) (/.f64 3 (fma.f64 x -4/29 (fma.f64 x x -16/841)))))
(*.f64 (/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (/.f64 (fma.f64 x -4/29 (fma.f64 x x -16/841)) 3)) (/.f64 (fma.f64 x -4/29 (fma.f64 x x -16/841)) (fma.f64 x (+.f64 x 4/29) 16/841)))
(.f64 (/.f64 (.f64 3 (+.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 (.f64 x (pow.f64 x 3)) (.f64 (+.f64 16/841 (.f64 x 4/29)) (-.f64 (+.f64 16/841 (.f64 x 4/29)) (*.f64 x x)))))
(.f64 (/.f64 3 (/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (+.f64 16/841 (.f64 x 4/29)) 3)) (+.f64 -64/24389 (pow.f64 x 3)))) (fma.f64 x (pow.f64 x 3) (.f64 (+.f64 16/841 (.f64 x 4/29)) (+.f64 16/841 (-.f64 (.f64 x 4/29) (*.f64 x x))))))
(.f64 (/.f64 (+.f64 -192/24389 (.f64 3 (pow.f64 x 3))) (+.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x 4/29 16/841) 3))) (fma.f64 (fma.f64 x 4/29 16/841) (+.f64 16/841 (*.f64 x (-.f64 4/29 x))) (pow.f64 x 4)))
(.f64 (.f64 (/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x 4/29 16/841) 3))) 3) (fma.f64 (fma.f64 x 4/29 16/841) (+.f64 16/841 (*.f64 x (-.f64 4/29 x))) (pow.f64 x 4)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3))))
(fma.f64 3 x -12/29)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 3 x -12/29))) (cbrt.f64 (sqrt.f64 (fma.f64 3 x -12/29)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))) (*.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))))
(fma.f64 3 x -12/29)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 3 x -12/29))) (cbrt.f64 (sqrt.f64 (fma.f64 3 x -12/29)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 3/2))
(fma.f64 3 x -12/29)
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3) 1/6))
(fma.f64 3 x -12/29)
(*.f64 (pow.f64 (/.f64 -1/3 (-.f64 4/29 x)) -1/2) (pow.f64 (/.f64 -1/3 (-.f64 4/29 x)) -1/2))
(fma.f64 3 x -12/29)
(pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 1)
(fma.f64 3 x -12/29)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 2)
(fma.f64 3 x -12/29)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x -4/29) 1/3)) 3)
(fma.f64 3 x -12/29)
(pow.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3) 1/3)
(fma.f64 3 x -12/29)
(pow.f64 (/.f64 -1/3 (-.f64 4/29 x)) -1)
(fma.f64 3 x -12/29)
(neg.f64 (/.f64 (+.f64 x -4/29) -1/3))
(fma.f64 3 x -12/29)
(neg.f64 (*.f64 (/.f64 (+.f64 x -4/29) -1/3) 1))
(fma.f64 3 x -12/29)
(neg.f64 (*.f64 (+.f64 x -4/29) -3))
(fma.f64 3 x -12/29)
(neg.f64 (*.f64 1 (/.f64 (+.f64 x -4/29) -1/3)))
(fma.f64 3 x -12/29)
(neg.f64 (/.f64 (-.f64 4/29 x) 1/3))
(fma.f64 3 x -12/29)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 2))
(fabs.f64 (fma.f64 3 x -12/29))
(log.f64 (exp.f64 (/.f64 (+.f64 x -4/29) 1/3)))
(fma.f64 3 x -12/29)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -4/29) 1/3))))
(fma.f64 3 x -12/29)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x -4/29) 1/3) 3))
(fma.f64 3 x -12/29)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x -4/29) 1/3)))
(fma.f64 3 x -12/29)
(exp.f64 (log.f64 (/.f64 (+.f64 x -4/29) 1/3)))
(fma.f64 3 x -12/29)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x -4/29) 1/3)))
(fma.f64 3 x -12/29)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y -4/29)
✓	0.3b	(.f64 3 (.f64 y -4/29))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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))

rewrite52.0ms (0.9%)

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

((#(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)))))))

simplify40.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1196×	`distribute-lft-in`
1184×	`distribute-rgt-in`
1106×	`associate-+r+`
1042×	`associate-+l+`
834×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	322
1	138	322
2	555	322
3	2087	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 3 (.f64 y -4/29))) 1)
(pow.f64 (.f64 3 (.f64 y -4/29)) 1)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y -4/29))) 2)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y -4/29))) 3)
(pow.f64 (pow.f64 (.f64 3 (.f64 y -4/29)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 3 (.f64 y -4/29)) 2))
(log.f64 (exp.f64 (.f64 3 (.f64 y -4/29))))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y -4/29)) 3))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y -4/29))))
(exp.f64 (log.f64 (.f64 3 (.f64 y -4/29))))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y -4/29))))
(-.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 3 (.f64 y -4/29))) 1)
(*.f64 -12/29 y)
(pow.f64 (.f64 3 (.f64 y -4/29)) 1)
(*.f64 -12/29 y)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y -4/29))) 2)
(*.f64 -12/29 y)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y -4/29))) 3)
(*.f64 -12/29 y)
(pow.f64 (pow.f64 (.f64 3 (.f64 y -4/29)) 3) 1/3)
(*.f64 -12/29 y)
(sqrt.f64 (pow.f64 (.f64 3 (.f64 y -4/29)) 2))
(*.f64 -12/29 y)
(log.f64 (exp.f64 (.f64 3 (.f64 y -4/29))))
(*.f64 -12/29 y)
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y -4/29)) 3))
(*.f64 -12/29 y)
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y -4/29))))
(*.f64 -12/29 y)
(exp.f64 (log.f64 (.f64 3 (.f64 y -4/29))))
(*.f64 -12/29 y)
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y -4/29))))
(*.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
✓	0.2b	(.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	y	@	-inf	(.f64 (.f64 3 x) y)
0.0ms	x	@	-inf	(.f64 (.f64 3 x) y)
0.0ms	y	@	inf	(.f64 (.f64 3 x) y)

rewrite50.0ms (0.9%)

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

simplify39.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1464×	`distribute-rgt-in`
1454×	`distribute-lft-in`
1134×	`log-prod`
1064×	`associate-r`
918×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	455
1	85	455
2	346	455
3	2589	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 (.f64 3 x) y)) 1)
(pow.f64 (.f64 (.f64 3 x) y) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 3 x) y)) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 3 x) y)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 3 x) y) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 3 x) y) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 3 x)))
(cbrt.f64 (pow.f64 (.f64 (.f64 3 x) y) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 3 x) y)))
(exp.f64 (log.f64 (.f64 (.f64 3 x) y)))
(log1p.f64 (expm1.f64 (.f64 (.f64 3 x) y)))

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 x 4/29))
✓	0.3b	(/.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	x	@	0	(/.f64 1 (-.f64 x 4/29))
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	@	inf	(/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))

rewrite76.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`associate-/r*`
1356×	`associate-/l*`
1054×	`*-commutative`
580×	`associate-/r/`
366×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	241	32
2	3180	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 (/.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 (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 (*.f64 3 y) (/.f64 1 (-.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 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x x) 3) 4096/594823321)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 256/707281 (*.f64 16/841 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 1 (-.f64 4/29 x)))) (sqrt.f64 (/.f64 1 (-.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 x -4/29) -1/2))) (pow.f64 (+.f64 x -4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))))))) (#(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 (pow.f64 (+.f64 x -4/29) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (+.f64 x -4/29) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -4/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (-.f64 4/29 x)))))) (#(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 1 (-.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x -4/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 4/29))))))))

simplify111.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1702×	`distribute-lft-in`
1640×	`distribute-rgt-in`
1150×	`associate-/l/`
798×	`associate-/r/`
568×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	405	5007
1	1252	4357
2	4180	4347

Stop Event

1×	node limit

Counts

177 → 229

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 (/.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 (neg.f64 x) (/.f64 y -1/3)) (.f64 4/29 (/.f64 y -1/3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.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 (.f64 3 y) (/.f64 1 (-.f64 x 4/29))))
(.f64 (/.f64 (.f64 3 y) (/.f64 1 (-.f64 x 4/29))) 1)
(.f64 (sqrt.f64 (/.f64 (.f64 3 y) (/.f64 1 (-.f64 x 4/29)))) (sqrt.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.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 (.f64 3 y) (/.f64 1 (-.f64 x 4/29)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))) 2))
(.f64 (cbrt.f64 (/.f64 (.f64 3 y) (/.f64 1 (-.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 (.f64 3 y) (/.f64 1 (-.f64 x 4/29)))) 2) (cbrt.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.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 (*.f64 3 y) (cbrt.f64 (+.f64 x -4/29))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))
(.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 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 x -4/29)))
(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 3 y)) 1) (+.f64 x -4/29)) (sqrt.f64 (.f64 3 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 3 y)) 1) (+.f64 x -4/29)) (/.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 (*.f64 3 y) (/.f64 1 (-.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 3 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) y)) 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 1 (-.f64 4/29 x))) (neg.f64 y))
(*.f64 (/.f64 3 (/.f64 (/.f64 1 (-.f64 x 4/29)) (sqrt.f64 y))) (sqrt.f64 y))
(.f64 (/.f64 3 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 y) 2) (+.f64 x -4/29)))) (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 3 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) y)) -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 64/24389 (pow.f64 x 3))) (+.f64 (.f64 x x) (-.f64 16/841 (*.f64 x 4/29))))
(.f64 (/.f64 (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (-.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)))
(.f64 (/.f64 (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (+.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 16/841 (.f64 x 4/29)) (-.f64 (+.f64 16/841 (.f64 x 4/29)) (.f64 x x)))))
(pow.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29))) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.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 (*.f64 3 y) (/.f64 1 (-.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 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.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 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))))
(exp.f64 (log.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.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 (fma.f64 x x -16/841)) 4/29) (.f64 (/.f64 1 (fma.f64 x x -16/841)) x))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (.f64 x x)) (.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 16/841 (.f64 x 4/29))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 16/841 (.f64 x 4/29))) (.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (.f64 x x)))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 16/841 (.f64 x x))) (.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (.f64 x 4/29)))
(+.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 (.f64 (.f64 x x) (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389))) (.f64 (+.f64 16/841 (.f64 x 4/29)) (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389))))
(+.f64 (.f64 (+.f64 16/841 (.f64 x 4/29)) (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389))) (.f64 (.f64 x x) (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389))))
(+.f64 (.f64 (+.f64 16/841 (.f64 x x)) (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389))) (.f64 (.f64 x 4/29) (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389))))
(-.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 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)))
(*.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 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (-.f64 (+.f64 16/841 (.f64 x 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 1 (neg.f64 (fma.f64 x x -16/841))) (neg.f64 (+.f64 x 4/29)))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 x 3) -64/24389))) (neg.f64 (fma.f64 x x (+.f64 16/841 (.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 (pow.f64 x 3) -64/24389))) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(.f64 (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 4096/594823321)) (+.f64 64/24389 (pow.f64 x 3)))
(.f64 (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (-.f64 (pow.f64 (pow.f64 x 3) 3) 262144/14507145975869)) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 4096/594823321 (.f64 64/24389 (pow.f64 x 3)))))
(*.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 (pow.f64 x 3) -64/24389))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (.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 (pow.f64 x 3) -64/24389))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(.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 (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 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 -12/29 y)
(*.f64 y -12/29)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
-29/4
(-.f64 (*.f64 -841/16 x) 29/4)
(fma.f64 -841/16 x -29/4)
(fma.f64 x -841/16 -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 x -841/16 (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 x -841/16 -29/4))
(+.f64 (fma.f64 x -841/16 -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 4/29 (*.f64 x x)) (+.f64 (/.f64 1 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 (/.f64 4/29 (*.f64 x x)) (/.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 16/841 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 64/24389 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (+.f64 (/.f64 4/29 (*.f64 x x)) (/.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 4/29 (*.f64 x x)) (+.f64 (/.f64 1 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 (/.f64 4/29 (*.f64 x x)) (/.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 16/841 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 64/24389 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (+.f64 (/.f64 4/29 (*.f64 x x)) (/.f64 64/24389 (pow.f64 x 4)))))
(+.f64 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))
(.f64 (.f64 3 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 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 1 (.f64 (.f64 3 y) x)) (.f64 1 (.f64 (.f64 3 y) -4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (/.f64 y -1/3) (neg.f64 x)) (.f64 (/.f64 y -1/3) 4/29))
(*.f64 (/.f64 y -1/3) (+.f64 (neg.f64 x) 4/29))
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x))
(+.f64 (.f64 (.f64 (.f64 3 y) x) 1) (.f64 (.f64 (.f64 3 y) -4/29) 1))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (neg.f64 x) (/.f64 y -1/3)) (.f64 4/29 (/.f64 y -1/3)))
(*.f64 (/.f64 y -1/3) (+.f64 (neg.f64 x) 4/29))
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29))))) 1)
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 y (+.f64 (.f64 3 x) -12/29))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 1 (/.f64 (.f64 3 y) (/.f64 1 (-.f64 x 4/29))))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (/.f64 (.f64 3 y) (/.f64 1 (-.f64 x 4/29))) 1)
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (sqrt.f64 (/.f64 (.f64 3 y) (/.f64 1 (-.f64 x 4/29)))) (sqrt.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (sqrt.f64 (.f64 3 y)) (.f64 (sqrt.f64 (.f64 3 y)) (+.f64 x -4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (sqrt.f64 (+.f64 x -4/29)) (.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29))))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (cbrt.f64 (/.f64 (.f64 3 y) (/.f64 1 (-.f64 x 4/29)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))) 2))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (cbrt.f64 (/.f64 (.f64 3 y) (/.f64 1 (-.f64 x 4/29)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))
(.f64 (cbrt.f64 (.f64 (/.f64 (.f64 3 y) 1) (+.f64 x -4/29))) (/.f64 (pow.f64 (cbrt.f64 (.f64 3 y)) 2) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))
(.f64 (cbrt.f64 (.f64 y (fma.f64 3 x -12/29))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 3 y) (/.f64 1 (-.f64 x 4/29)))) 2) (cbrt.f64 (/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 y)) 2) (.f64 (cbrt.f64 (.f64 3 y)) (+.f64 x -4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (cbrt.f64 (+.f64 x -4/29)) (.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (+.f64 x -4/29) (.f64 3 y))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 -1 (.f64 (*.f64 3 y) (-.f64 4/29 x)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 4/29 x) (.f64 y -3))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (-.f64 4/29 x) (/.f64 y -1/3))
(*.f64 (/.f64 y -1/3) (+.f64 (neg.f64 x) 4/29))
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x))
(.f64 (.f64 y -3) (-.f64 4/29 x))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 x -4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (.f64 (sqrt.f64 (.f64 3 y)) (+.f64 x -4/29)) (sqrt.f64 (.f64 3 y)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (.f64 (cbrt.f64 (.f64 3 y)) (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (.f64 3 y)) 2))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 x -4/29)))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (.f64 (*.f64 3 y) (cbrt.f64 (+.f64 x -4/29))))
(/.f64 (.f64 (.f64 (*.f64 3 y) (cbrt.f64 (+.f64 x -4/29))) 1) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))
(/.f64 (.f64 (.f64 3 y) (cbrt.f64 (+.f64 x -4/29))) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))
(.f64 3 (/.f64 (.f64 y (cbrt.f64 (+.f64 x -4/29))) (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 (*.f64 3 y) (cbrt.f64 (+.f64 x -4/29))) 1) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))
(/.f64 (.f64 (.f64 3 y) (cbrt.f64 (+.f64 x -4/29))) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))
(.f64 3 (/.f64 (.f64 y (cbrt.f64 (+.f64 x -4/29))) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))
(.f64 (.f64 y (+.f64 x -4/29)) 3)
(.f64 (.f64 3 y) (+.f64 x -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2)) (.f64 3 (sqrt.f64 (+.f64 x -4/29))))
(/.f64 (.f64 (.f64 3 (sqrt.f64 (+.f64 x -4/29))) y) (pow.f64 (+.f64 x -4/29) -1/2))
(.f64 3 (.f64 (sqrt.f64 (+.f64 x -4/29)) (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2))))
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(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389))
(+.f64 (.f64 (+.f64 16/841 (.f64 x x)) (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389))) (.f64 (.f64 x 4/29) (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389))
(-.f64 (exp.f64 (log1p.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 (/.f64 1 (-.f64 x 4/29)) 1)
(/.f64 1 (+.f64 x -4/29))
(*.f64 (pow.f64 (+.f64 x -4/29) -1/2) (pow.f64 (+.f64 x -4/29) -1/2))
(/.f64 1 (+.f64 x -4/29))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (cbrt.f64 (-.f64 4/29 x)))
(*.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)))
(*.f64 (+.f64 x 4/29) (/.f64 1 (fma.f64 x x -16/841)))
(/.f64 (*.f64 (+.f64 x 4/29) 1) (fma.f64 x x -16/841))
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389))
(*.f64 -1 (/.f64 1 (-.f64 4/29 x)))
(/.f64 -1 (-.f64 4/29 x))
(*.f64 (/.f64 1 (-.f64 4/29 x)) -1)
(/.f64 -1 (-.f64 4/29 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))))
(/.f64 (*.f64 1 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x)))) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))
(/.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (*.f64 (+.f64 x 4/29) 1) (fma.f64 x x -16/841))
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (-.f64 (+.f64 16/841 (.f64 x x)) (*.f64 x -4/29)))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389))
(*.f64 (neg.f64 (pow.f64 (+.f64 x -4/29) -1/2)) (neg.f64 (pow.f64 (+.f64 x -4/29) -1/2)))
(/.f64 1 (+.f64 x -4/29))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (neg.f64 (/.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)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 1) (/.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)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -4/29)) -1) (pow.f64 (sqrt.f64 (+.f64 x -4/29)) -1))
(pow.f64 (sqrt.f64 (+.f64 x -4/29)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -4/29))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 1) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -4/29))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 1) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x -16/841))) (neg.f64 (+.f64 x 4/29)))
(/.f64 (*.f64 (+.f64 x 4/29) 1) (fma.f64 x x -16/841))
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 x 3) -64/24389))) (neg.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(/.f64 (*.f64 (+.f64 x 4/29) 1) (fma.f64 x x -16/841))
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 x 3) -64/24389))) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389))
(.f64 (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 4096/594823321)) (+.f64 64/24389 (pow.f64 x 3)))
(.f64 (+.f64 (pow.f64 x 3) 64/24389) (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (+.f64 (pow.f64 x 6) -4096/594823321)))
(*.f64 (+.f64 (pow.f64 x 3) 64/24389) (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 6) -4096/594823321)))
(/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (/.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (+.f64 (pow.f64 x 3) 64/24389)))
(.f64 (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (-.f64 (pow.f64 (pow.f64 x 3) 3) 262144/14507145975869)) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 4096/594823321 (.f64 64/24389 (pow.f64 x 3)))))
(.f64 (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (+.f64 (pow.f64 (pow.f64 x 3) 3) -262144/14507145975869)) (+.f64 (pow.f64 x 6) (+.f64 4096/594823321 (*.f64 (pow.f64 x 3) 64/24389))))
(*.f64 (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 (pow.f64 x 3) 3) -262144/14507145975869)) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) 64/24389 4096/594823321)))
(/.f64 (*.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) 64/24389 4096/594823321))) (+.f64 (pow.f64 (pow.f64 x 3) 3) -262144/14507145975869))
(*.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 (pow.f64 (+.f64 x -4/29) -1/2) (/.f64 (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 (pow.f64 x 3) -64/24389))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (.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 x (fma.f64 x 4/29 16/841))))
(*.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 1 (.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 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 (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 (/.f64 1 (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 1 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (cbrt.f64 (fma.f64 x x (fma.f64 x 4/29 16/841))))
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (cbrt.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)))) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)))
(.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 16/841 (.f64 x x))) (+.f64 (pow.f64 x 4) -256/707281))
(*.f64 (fma.f64 x x 16/841) (/.f64 (+.f64 x 4/29) (+.f64 (pow.f64 x 4) -256/707281)))
(.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 x 4/29) (+.f64 (+.f64 (pow.f64 x 4) 256/707281) (.f64 16/841 (*.f64 x x)))) (+.f64 (pow.f64 x 6) -4096/594823321))
(.f64 (/.f64 (+.f64 x 4/29) (+.f64 (pow.f64 x 6) -4096/594823321)) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (.f64 x x) 256/707281)))
(*.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))

localize42.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 3 x) -12/29)
✓	0.2b	(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)) y)
✓	0.2b	(.f64 9 (.f64 x x))
✓	9.2b	(/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))

Compiler

Compiled 59 to 38 computations (35.6% saved)

series5.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)) y)
1.0ms	y	@	inf	(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)) y)
0.0ms	x	@	inf	(/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))
0.0ms	x	@	0	(/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))
0.0ms	x	@	inf	(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)) y)

rewrite145.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`associate-/r*`
1172×	`associate-/l*`
1032×	`associate-/r/`
332×	`add-sqr-sqrt`
316×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	86
1	335	46
2	4357	46

Stop Event

1×	node limit

Counts

4 → 265

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))
(.f64 9 (.f64 x x))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)) y)
(-.f64 (*.f64 3 x) -12/29)

Outputs
((#(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 (.f64 3 x) 12/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 x))) 41/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -12/29 (exp.f64 (log1p.f64 (.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (/.f64 1 (-.f64 (.f64 3 x) -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841)) 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(fma.f64 (.f64 9 x) x 144/841) (.f64 x -36/29))))) (cbrt.f64 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 x -36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 3 x) -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 3 x) -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (.f64 3 x) -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 3 x) -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (.f64 3 x) -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (.f64 3 x) -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 3 x) -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 3 x) -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (.f64 3 x) -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (.f64 3 x) -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 3 x) -12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (.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 3 x 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 (cbrt.f64 (.f64 x (.f64 9 x))) (cbrt.f64 (*.f64 3 x)) 12/29)))))

simplify160.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1068×	`associate-/l*`
984×	`associate-r`
846×	`associate-/r*`
748×	`*-commutative`
730×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	692	14049
1	2043	13523

Stop Event

1×	node limit

Counts

325 → 476

Calls

Call 1

Inputs
-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 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.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 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
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 (*.f64 3 x) -12/29)
(+.f64 -12/29 (*.f64 3 x))
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 x))) 41/29)
(-.f64 (+.f64 -12/29 (exp.f64 (log1p.f64 (*.f64 3 x)))) 1)
(.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (/.f64 1 (-.f64 (.f64 3 x) -12/29)))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)) 1)
(.f64 1 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)))
(.f64 (sqrt.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841)) (.f64 (sqrt.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841)) (/.f64 1 (-.f64 (*.f64 3 x) -12/29))))
(.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29))) (sqrt.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) 2)) (.f64 (cbrt.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841)) (/.f64 1 (-.f64 (*.f64 3 x) -12/29))))
(.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29))) 2) (cbrt.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))))
(.f64 (/.f64 1 (-.f64 (.f64 3 x) -12/29)) (+.f64 (.f64 9 (.f64 x x)) -144/841))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (/.f64 -1 (-.f64 (.f64 3 x) -12/29)))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 3 x) -12/29))) (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (sqrt.f64 (-.f64 (*.f64 3 x) -12/29))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (.f64 3 x) -12/29)) 2)) (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (cbrt.f64 (-.f64 (*.f64 3 x) -12/29))))
(.f64 (/.f64 1 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (+.f64 (fma.f64 (.f64 9 x) x 144/841) (*.f64 x -36/29))))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (+.f64 (.f64 9 (.f64 x x)) -144/841)) (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 x -36/29)))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 (*.f64 3 x) 12/29)))
(.f64 (/.f64 1 (+.f64 (.f64 9 (.f64 x x)) -144/841)) (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))))
(.f64 (/.f64 -1 (-.f64 (.f64 3 x) -12/29)) (-.f64 144/841 (.f64 9 (.f64 x x))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29))) (sqrt.f64 (-.f64 (*.f64 3 x) -12/29))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29))) (sqrt.f64 (-.f64 (.f64 3 x) -12/29))) (sqrt.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841)) (pow.f64 (cbrt.f64 (-.f64 (.f64 3 x) -12/29)) 2)) (/.f64 (sqrt.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841)) (cbrt.f64 (-.f64 (*.f64 3 x) -12/29))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841)) (-.f64 (.f64 3 x) -12/29)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) 2)) (sqrt.f64 (-.f64 (.f64 3 x) -12/29))) (/.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 3 x) -12/29)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) 2)) (pow.f64 (cbrt.f64 (-.f64 (.f64 3 x) -12/29)) 2)) (cbrt.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))))
(.f64 (/.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 144/841 (.f64 9 (.f64 x x)))) (neg.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) 2)) (-.f64 (.f64 3 x) -12/29)) (cbrt.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841)))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (neg.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))) (neg.f64 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 x -36/29))))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 3 x) -12/29) (cbrt.f64 (pow.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) 2)))) (cbrt.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841)))
(.f64 (/.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (neg.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))) (+.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 x -36/29)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 81 (pow.f64 x 4)) -20736/707281) (/.f64 1 (-.f64 (.f64 3 x) -12/29))) (+.f64 (.f64 81 (pow.f64 x 4)) -20736/707281)) (+.f64 (.f64 9 (*.f64 x x)) -144/841))
(.f64 (/.f64 (.f64 (+.f64 (.f64 81 (pow.f64 x 4)) -20736/707281) (/.f64 1 (-.f64 (.f64 3 x) -12/29))) (-.f64 (pow.f64 (.f64 9 (.f64 x x)) 3) -2985984/594823321)) (+.f64 (+.f64 (.f64 81 (pow.f64 x 4)) 20736/707281) (.f64 (*.f64 x x) -1296/841)))
(.f64 (/.f64 (.f64 (+.f64 -2985984/594823321 (pow.f64 (.f64 9 (.f64 x x)) 3)) (/.f64 1 (-.f64 (.f64 3 x) -12/29))) (-.f64 (.f64 (.f64 81 (pow.f64 x 4)) (.f64 81 (pow.f64 x 4))) (.f64 (-.f64 20736/707281 (.f64 (.f64 x x) -1296/841)) (-.f64 20736/707281 (.f64 (.f64 x x) -1296/841))))) (+.f64 (+.f64 (.f64 81 (pow.f64 x 4)) -20736/707281) (.f64 (.f64 x x) -1296/841)))
(.f64 (/.f64 (.f64 (+.f64 -2985984/594823321 (pow.f64 (.f64 9 (.f64 x x)) 3)) (/.f64 1 (-.f64 (.f64 3 x) -12/29))) (+.f64 (pow.f64 (.f64 81 (pow.f64 x 4)) 3) (pow.f64 (-.f64 20736/707281 (.f64 (.f64 x x) -1296/841)) 3))) (+.f64 (.f64 (.f64 81 (pow.f64 x 4)) (.f64 81 (pow.f64 x 4))) (-.f64 (.f64 (-.f64 20736/707281 (.f64 (.f64 x x) -1296/841)) (-.f64 20736/707281 (.f64 (.f64 x x) -1296/841))) (.f64 (.f64 81 (pow.f64 x 4)) (-.f64 20736/707281 (.f64 (.f64 x x) -1296/841))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (sqrt.f64 (-.f64 (.f64 3 x) -12/29))) (sqrt.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841))) (sqrt.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (sqrt.f64 (-.f64 (.f64 3 x) -12/29))) (sqrt.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))) (sqrt.f64 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (*.f64 x -36/29))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (pow.f64 (cbrt.f64 (-.f64 (.f64 3 x) -12/29)) 2)) (cbrt.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841))) (cbrt.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (pow.f64 (cbrt.f64 (-.f64 (.f64 3 x) -12/29)) 2)) (cbrt.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))) (cbrt.f64 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (*.f64 x -36/29))))
(pow.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29)) 3) 1/3)
(pow.f64 (/.f64 1 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))) -1)
(neg.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 -12/29 (*.f64 3 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) 3) (pow.f64 (-.f64 (*.f64 3 x) -12/29) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))))
(exp.f64 (log.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (*.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 (sqrt.f64 (.f64 3 x)) (sqrt.f64 (.f64 3 x)) -12/29)
(fma.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (cbrt.f64 (*.f64 3 x)) -12/29)
(-.f64 (exp.f64 (log1p.f64 (.f64 9 (.f64 x x)))) 1)
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(.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389) (/.f64 1 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 x -36/29))))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (fma.f64 (.f64 9 x) x -144/841)) (-.f64 (.f64 3 x) -12/29))
(.f64 (/.f64 1 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 x -36/29))) (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (sqrt.f64 (fma.f64 (.f64 9 x) x -144/841))) (/.f64 (sqrt.f64 (-.f64 (.f64 3 x) -12/29)) (sqrt.f64 (fma.f64 x 3 -12/29))))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (cbrt.f64 (pow.f64 (fma.f64 (.f64 9 x) x -144/841) 2))) (/.f64 (-.f64 (.f64 3 x) -12/29) (cbrt.f64 (fma.f64 (*.f64 9 x) x -144/841))))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (+.f64 (.f64 81 (pow.f64 x 4)) -20736/707281)) (.f64 (-.f64 (.f64 3 x) -12/29) (fma.f64 (.f64 9 x) x 144/841)))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (+.f64 -2985984/594823321 (pow.f64 (.f64 x (.f64 9 x)) 3))) (.f64 (-.f64 (.f64 3 x) -12/29) (-.f64 (+.f64 (.f64 81 (pow.f64 x 4)) 20736/707281) (.f64 (*.f64 x x) -1296/841))))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) -1) (neg.f64 (/.f64 1 (fma.f64 x 3 -12/29))))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (-.f64 144/841 (.f64 x (.f64 9 x)))) (-.f64 -12/29 (*.f64 3 x)))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (/.f64 (fma.f64 (.f64 9 x) x -144/841) (sqrt.f64 (-.f64 (.f64 3 x) -12/29)))) (sqrt.f64 (-.f64 (*.f64 3 x) -12/29)))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (.f64 (+.f64 (.f64 81 (pow.f64 x 4)) -20736/707281) (/.f64 1 (-.f64 (.f64 3 x) -12/29)))) (fma.f64 (.f64 9 x) x 144/841))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (.f64 (+.f64 -2985984/594823321 (pow.f64 (.f64 x (.f64 9 x)) 3)) (/.f64 1 (-.f64 (.f64 3 x) -12/29)))) (-.f64 (+.f64 (.f64 81 (pow.f64 x 4)) 20736/707281) (.f64 (*.f64 x x) -1296/841)))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (/.f64 (fma.f64 (.f64 9 x) x -144/841) (pow.f64 (cbrt.f64 (-.f64 (.f64 3 x) -12/29)) 2))) (cbrt.f64 (-.f64 (*.f64 3 x) -12/29)))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (+.f64 -1728/24389 (.f64 27 (pow.f64 x 3)))) (-.f64 (fma.f64 (.f64 9 x) x 144/841) (*.f64 x -36/29)))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (.f64 (+.f64 (.f64 81 (pow.f64 x 4)) -20736/707281) 1)) (.f64 (fma.f64 (.f64 9 x) x 144/841) (-.f64 (*.f64 3 x) -12/29)))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (.f64 (+.f64 -2985984/594823321 (pow.f64 (.f64 x (.f64 9 x)) 3)) 1)) (.f64 (-.f64 (+.f64 (.f64 81 (pow.f64 x 4)) 20736/707281) (.f64 (.f64 x x) -1296/841)) (-.f64 (.f64 3 x) -12/29)))
(.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (neg.f64 (-.f64 144/841 (.f64 x (.f64 9 x))))) (neg.f64 (-.f64 -12/29 (*.f64 3 x))))
(.f64 (/.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389) (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (+.f64 144/841 (.f64 x -36/29)) (+.f64 144/841 (.f64 x -36/29))))) (-.f64 (fma.f64 (.f64 9 x) x -144/841) (.f64 x -36/29)))
(.f64 (/.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389) (+.f64 (pow.f64 (.f64 x (.f64 9 x)) 3) (pow.f64 (+.f64 144/841 (.f64 x -36/29)) 3))) (+.f64 (.f64 81 (pow.f64 x 4)) (-.f64 (.f64 (+.f64 144/841 (.f64 x -36/29)) (+.f64 144/841 (.f64 x -36/29))) (.f64 (.f64 x (.f64 9 x)) (+.f64 144/841 (*.f64 x -36/29))))))
(/.f64 (fma.f64 (*.f64 9 x) x -144/841) (fma.f64 x 3 -12/29))
(/.f64 (-.f64 (*.f64 3 x) -12/29) 1)
(/.f64 1 (/.f64 1 (-.f64 (*.f64 3 x) -12/29)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 (.f64 3 x) 12/29)) (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)))
(/.f64 1 (/.f64 (neg.f64 (fma.f64 x 3 -12/29)) (-.f64 144/841 (.f64 x (.f64 9 x)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 3 x) -12/29)) (/.f64 1 (sqrt.f64 (-.f64 (.f64 3 x) -12/29))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 9 x) x -144/841)) (/.f64 (fma.f64 x 3 -12/29) (sqrt.f64 (fma.f64 (.f64 9 x) x -144/841))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 9 x) x -144/841)) (/.f64 (neg.f64 (fma.f64 x 3 -12/29)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 9 x) x -144/841)))))
(/.f64 (cbrt.f64 (-.f64 (.f64 3 x) -12/29)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (.f64 3 x) -12/29)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 3 x) -12/29)) 2) (/.f64 1 (cbrt.f64 (-.f64 (.f64 3 x) -12/29))))
(/.f64 (cbrt.f64 (fma.f64 (.f64 9 x) x -144/841)) (/.f64 (fma.f64 x 3 -12/29) (cbrt.f64 (pow.f64 (fma.f64 (.f64 9 x) x -144/841) 2))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 9 x) x -144/841) 2)) (/.f64 (fma.f64 x 3 -12/29) (cbrt.f64 (fma.f64 (.f64 9 x) x -144/841))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 9 x) x -144/841) 2)) (/.f64 (neg.f64 (fma.f64 x 3 -12/29)) (neg.f64 (cbrt.f64 (fma.f64 (.f64 9 x) x -144/841)))))
(/.f64 (+.f64 (.f64 81 (pow.f64 x 4)) -20736/707281) (/.f64 (fma.f64 x 3 -12/29) (/.f64 1 (fma.f64 (.f64 9 x) x 144/841))))
(/.f64 (+.f64 -2985984/594823321 (pow.f64 (.f64 x (.f64 9 x)) 3)) (/.f64 (fma.f64 x 3 -12/29) (/.f64 1 (-.f64 (+.f64 (.f64 81 (pow.f64 x 4)) 20736/707281) (.f64 (*.f64 x x) -1296/841)))))
(/.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389) (+.f64 (fma.f64 (.f64 9 x) x 144/841) (*.f64 x -36/29)))
(/.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389) (-.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 (.f64 3 x) 12/29)))
(/.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389) (/.f64 1 (/.f64 1 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (*.f64 x -36/29)))))
(/.f64 (-.f64 144/841 (.f64 x (.f64 9 x))) (neg.f64 (fma.f64 x 3 -12/29)))
(/.f64 (sqrt.f64 (-.f64 144/841 (.f64 x (.f64 9 x)))) (/.f64 (neg.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (-.f64 144/841 (.f64 x (.f64 9 x))))))
(/.f64 (sqrt.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (/.f64 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 x -36/29)) (sqrt.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))))
(/.f64 (sqrt.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (/.f64 (-.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 (.f64 3 x) 12/29)) (sqrt.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) 1728/24389))))
(/.f64 (.f64 (cbrt.f64 (-.f64 144/841 (.f64 x (.f64 9 x)))) (cbrt.f64 (-.f64 144/841 (.f64 x (.f64 9 x))))) (/.f64 (neg.f64 (fma.f64 x 3 -12/29)) (cbrt.f64 (-.f64 144/841 (.f64 x (*.f64 9 x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (cbrt.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))) (/.f64 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 x -36/29)) (cbrt.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (cbrt.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))) (/.f64 (-.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 (.f64 3 x) 12/29)) (cbrt.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) 1728/24389))))
(/.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (fma.f64 (.f64 9 x) x -144/841)) (/.f64 1 (-.f64 (*.f64 3 x) -12/29)))
(/.f64 -1 (/.f64 (neg.f64 (fma.f64 x 3 -12/29)) (fma.f64 (*.f64 9 x) x -144/841)))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 9 x) x -144/841))) (/.f64 (neg.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (fma.f64 (.f64 9 x) x -144/841))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 9 x) x -144/841) 2))) (/.f64 (neg.f64 (fma.f64 x 3 -12/29)) (cbrt.f64 (fma.f64 (.f64 9 x) x -144/841))))
(/.f64 (neg.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (neg.f64 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (*.f64 x -36/29))))
(/.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (sqrt.f64 (fma.f64 (.f64 9 x) x -144/841))) (.f64 (sqrt.f64 (fma.f64 (.f64 9 x) x -144/841)) (/.f64 1 (-.f64 (*.f64 3 x) -12/29))))
(/.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (cbrt.f64 (pow.f64 (fma.f64 (.f64 9 x) x -144/841) 2))) (.f64 (cbrt.f64 (fma.f64 (.f64 9 x) x -144/841)) (/.f64 1 (-.f64 (*.f64 3 x) -12/29))))
(/.f64 (/.f64 (fma.f64 (*.f64 9 x) x -144/841) (sqrt.f64 (fma.f64 x 3 -12/29))) (sqrt.f64 (fma.f64 x 3 -12/29)))
(/.f64 (/.f64 (fma.f64 (*.f64 9 x) x -144/841) (cbrt.f64 (fma.f64 x 3 -12/29))) (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2))
(/.f64 (/.f64 (fma.f64 (*.f64 9 x) x -144/841) (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2)) (cbrt.f64 (fma.f64 x 3 -12/29)))
(/.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (/.f64 1 (-.f64 (.f64 3 x) -12/29))) (fma.f64 (*.f64 9 x) x -144/841))
(/.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (-.f64 144/841 (.f64 x (.f64 9 x)))) (/.f64 -1 (-.f64 (.f64 3 x) -12/29)))
(/.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (/.f64 1 (sqrt.f64 (-.f64 (.f64 3 x) -12/29)))) (/.f64 (fma.f64 (.f64 9 x) x -144/841) (sqrt.f64 (-.f64 (.f64 3 x) -12/29))))
(/.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (.f64 3 x) -12/29)) 2))) (/.f64 (fma.f64 (.f64 9 x) x -144/841) (cbrt.f64 (-.f64 (.f64 3 x) -12/29))))
(/.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (/.f64 (fma.f64 (.f64 9 x) x -144/841) (fma.f64 (*.f64 9 x) x -144/841))) (fma.f64 x 3 -12/29))
(/.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (/.f64 (fma.f64 (.f64 9 x) x -144/841) (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))) (+.f64 (fma.f64 (.f64 9 x) x 144/841) (*.f64 x -36/29)))
(/.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (/.f64 (sqrt.f64 (fma.f64 (.f64 9 x) x -144/841)) 1)) (/.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (-.f64 (*.f64 3 x) -12/29))))
(/.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (/.f64 (sqrt.f64 (fma.f64 (.f64 9 x) x -144/841)) (pow.f64 (cbrt.f64 (-.f64 (.f64 3 x) -12/29)) 2))) (/.f64 (sqrt.f64 (fma.f64 (.f64 9 x) x -144/841)) (cbrt.f64 (-.f64 (*.f64 3 x) -12/29))))
(/.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 9 x) x -144/841) 2)) 1)) (/.f64 (cbrt.f64 (fma.f64 (.f64 9 x) x -144/841)) (-.f64 (.f64 3 x) -12/29)))
(/.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 9 x) x -144/841) 2)) (sqrt.f64 (-.f64 (.f64 3 x) -12/29)))) (/.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 3 x) -12/29)))))
(/.f64 (/.f64 (fma.f64 (.f64 9 x) x -144/841) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 9 x) x -144/841) 2)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 3 x) -12/29)) 2))) (cbrt.f64 (fma.f64 x 3 -12/29)))
(/.f64 (/.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389) 1) (+.f64 (fma.f64 (.f64 9 x) x 144/841) (*.f64 x -36/29)))
(/.f64 (/.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389) (sqrt.f64 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 x -36/29)))) (sqrt.f64 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (*.f64 x -36/29))))
(/.f64 (/.f64 (+.f64 (.f64 27 (pow.f64 x 3)) 1728/24389) (.f64 (cbrt.f64 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 x -36/29))) (cbrt.f64 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 x -36/29))))) (cbrt.f64 (+.f64 (fma.f64 (.f64 9 x) x 144/841) (.f64 x -36/29))))
(pow.f64 (-.f64 (*.f64 3 x) -12/29) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 3 x) -12/29)) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 3 x) -12/29)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 3 x) -12/29) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 3 x) -12/29) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 3 x) -12/29)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 3 x) -12/29))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 3 x) -12/29) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 3 x) -12/29)))
(exp.f64 (log.f64 (-.f64 (*.f64 3 x) -12/29)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 3 x) -12/29)) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.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 (sqrt.f64 (.f64 3 x)) (sqrt.f64 (.f64 3 x)) 12/29)
(fma.f64 (cbrt.f64 (.f64 x (.f64 9 x))) (cbrt.f64 (*.f64 3 x)) 12/29)

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

eval522.0ms (9.1%)

Compiler: Compiled 20089 to 14801 computations (26.3% saved)

prune277.0ms (4.8%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	944	3	947
Fresh	3	1	4
Picked	1	0	1
Done	1	7	8
Total	949	11	960

Error

Counts

960 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))
▶	37.5b	(/.f64 (*.f64 3 y) (/.f64 1 x))
▶	25.9b	(/.f64 (*.f64 3 y) -29/4)
▶	0.4b	(/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	37.5b	(.f64 (.f64 3 x) y)
✓	37.5b	(.f64 x (.f64 y 3))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
▶	37.5b	(.f64 3 (.f64 y x))
✓	25.9b	(.f64 3 (.f64 y -4/29))
✓	25.8b	(*.f64 -12/29 y)

Compiler

Compiled 87 to 68 computations (21.8% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.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	x	@	-inf	(.f64 3 (.f64 y x))
0.0ms	y	@	-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))))))))

simplify58.0ms (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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -1/3 (-.f64 4/29 x))
✓	0.3b	(/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))
0.0ms	y	@	inf	(/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))
0.0ms	x	@	inf	(/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))
0.0ms	x	@	0	(/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))
0.0ms	y	@	-inf	(/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))

rewrite79.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`associate-*l/`
1276×	`associate-/r*`
974×	`*-commutative`
862×	`associate-/l*`
654×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	207	32
2	2797	32

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

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

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1174×	`associate-/l/`
1090×	`associate-/r/`
734×	`distribute-lft-neg-out`
576×	`*-commutative`
570×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	404	4575
1	1197	4451
2	4516	4451

Stop Event

1×	node limit

Counts

183 → 218

Calls

Call 1

Inputs
(.f64 -3 (.f64 y (-.f64 4/29 x)))
(.f64 -3 (.f64 y (-.f64 4/29 x)))
(.f64 -3 (.f64 y (-.f64 4/29 x)))
(.f64 -3 (.f64 y (-.f64 4/29 x)))
(.f64 -3 (.f64 y (-.f64 4/29 x)))
(.f64 -3 (.f64 y (-.f64 4/29 x)))
(.f64 -3 (.f64 y (-.f64 4/29 x)))
(.f64 -3 (.f64 y (-.f64 4/29 x)))
(.f64 -3 (.f64 y (-.f64 4/29 x)))
(.f64 -3 (.f64 y (-.f64 4/29 x)))
(.f64 -3 (.f64 y (-.f64 4/29 x)))
(.f64 -3 (.f64 y (-.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 4/29 (.f64 y -3)) (.f64 (.f64 y -3) (neg.f64 x)))
(+.f64 (.f64 (.f64 y -3) (neg.f64 x)) (.f64 4/29 (.f64 y -3)))
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(+.f64 (.f64 -4/29 (/.f64 y 1/3)) (.f64 (neg.f64 (neg.f64 x)) (/.f64 y 1/3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x))))) 1)
(.f64 y (.f64 (-.f64 4/29 x) -3))
(.f64 (-.f64 4/29 x) (.f64 y -3))
(*.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x))) 1)
(*.f64 1 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x))))
(*.f64 (sqrt.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))) (sqrt.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 (-.f64 4/29 x) -3)))
(.f64 (sqrt.f64 (-.f64 4/29 x)) (.f64 (sqrt.f64 (-.f64 4/29 x)) (*.f64 y -3)))
(*.f64 (cbrt.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))) 2))
(*.f64 (cbrt.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))) 2) (cbrt.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (*.f64 (-.f64 4/29 x) -3)))
(.f64 (cbrt.f64 (-.f64 4/29 x)) (.f64 (pow.f64 (cbrt.f64 (-.f64 4/29 x)) 2) (*.f64 y -3)))
(.f64 (.f64 y -3) (-.f64 4/29 x))
(.f64 (.f64 y -3) (neg.f64 (+.f64 -4/29 x)))
(.f64 (.f64 (-.f64 4/29 x) -3) y)
(.f64 (.f64 (-.f64 4/29 x) -3) (/.f64 y 1))
(.f64 3 (.f64 y (+.f64 -4/29 x)))
(.f64 (neg.f64 y) (.f64 3 (-.f64 4/29 x)))
(*.f64 (+.f64 -4/29 x) (/.f64 y 1/3))
(.f64 (.f64 (sqrt.f64 (-.f64 4/29 x)) (*.f64 y -3)) (sqrt.f64 (-.f64 4/29 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 4/29 x)) 2) (*.f64 y -3)) (cbrt.f64 (-.f64 4/29 x)))
(.f64 (.f64 (sqrt.f64 y) (*.f64 (-.f64 4/29 x) -3)) (sqrt.f64 y))
(.f64 (.f64 (cbrt.f64 y) (*.f64 (-.f64 4/29 x) -3)) (pow.f64 (cbrt.f64 y) 2))
(.f64 -3 (.f64 y (-.f64 4/29 x)))
(.f64 -3 (.f64 (/.f64 y 1) (-.f64 4/29 x)))
(.f64 (.f64 1 (sqrt.f64 (*.f64 (-.f64 4/29 x) -3))) (/.f64 y (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x)))))
(.f64 (/.f64 y 1) (.f64 (-.f64 4/29 x) -3))
(.f64 (/.f64 y (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x)))) (.f64 1 (sqrt.f64 (*.f64 (-.f64 4/29 x) -3))))
(.f64 (.f64 (/.f64 y 1) (-.f64 4/29 x)) -3)
(*.f64 (/.f64 y (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) 2)))
(*.f64 (/.f64 y 1/3) (+.f64 -4/29 x))
(.f64 (.f64 3 (-.f64 4/29 x)) (neg.f64 y))
(.f64 (/.f64 (sqrt.f64 y) -1/3) (.f64 (/.f64 (sqrt.f64 y) 1) (-.f64 4/29 x)))
(.f64 (.f64 (/.f64 (sqrt.f64 y) 1) (-.f64 4/29 x)) (/.f64 (sqrt.f64 y) -1/3))
(.f64 (/.f64 (sqrt.f64 y) 1) (.f64 (/.f64 (sqrt.f64 y) -1/3) (-.f64 4/29 x)))
(.f64 (.f64 (/.f64 (sqrt.f64 y) -1/3) (-.f64 4/29 x)) (sqrt.f64 y))
(.f64 (.f64 (/.f64 (sqrt.f64 y) -1/3) (-.f64 4/29 x)) (/.f64 (sqrt.f64 y) 1))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x)))))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) -1/3) (.f64 (/.f64 (cbrt.f64 y) 1) (-.f64 4/29 x)))
(.f64 (.f64 (/.f64 (cbrt.f64 y) 1) (-.f64 4/29 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) -1/3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (.f64 (/.f64 (cbrt.f64 y) -1/3) (-.f64 4/29 x)))
(.f64 (.f64 (/.f64 (cbrt.f64 y) -1/3) (-.f64 4/29 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x)))))
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) 2)) (cbrt.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))))
(.f64 (/.f64 (.f64 y -3) 1) (-.f64 4/29 x))
(*.f64 (/.f64 (neg.f64 y) -1/3) (+.f64 -4/29 x))
(.f64 (/.f64 (neg.f64 y) -1) (.f64 (-.f64 4/29 x) -3))
(*.f64 (/.f64 (/.f64 y 1) -1/3) (-.f64 4/29 x))
(*.f64 (/.f64 (/.f64 y 1) -1/3) (neg.f64 (+.f64 -4/29 x)))
(.f64 (/.f64 (/.f64 y 1) 1) (.f64 (-.f64 4/29 x) -3))
(*.f64 (/.f64 (/.f64 y 1) 1/3) (+.f64 -4/29 x))
(.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x)))) 1) (sqrt.f64 (.f64 (-.f64 4/29 x) -3)))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x)))) (sqrt.f64 -1/3)) (sqrt.f64 (-.f64 4/29 x)))
(.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) 2)) 1) (cbrt.f64 (.f64 (-.f64 4/29 x) -3)))
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) 2)) (cbrt.f64 -1/3)) (cbrt.f64 (-.f64 4/29 x)))
(.f64 (/.f64 y -1) (neg.f64 (.f64 (-.f64 4/29 x) -3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 -1/3 (-.f64 4/29 x))) (cbrt.f64 y))
(*.f64 (/.f64 y (/.f64 -1/3 (sqrt.f64 (-.f64 4/29 x)))) (sqrt.f64 (-.f64 4/29 x)))
(*.f64 (/.f64 y (/.f64 -1/3 (pow.f64 (cbrt.f64 (-.f64 4/29 x)) 2))) (cbrt.f64 (-.f64 4/29 x)))
(*.f64 (/.f64 1 (/.f64 (/.f64 -1/3 (-.f64 4/29 x)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(.f64 (/.f64 (.f64 y -3) (/.f64 1 (sqrt.f64 (-.f64 4/29 x)))) (sqrt.f64 (-.f64 4/29 x)))
(.f64 (/.f64 (.f64 y -3) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 4/29 x)) 2))) (cbrt.f64 (-.f64 4/29 x)))
(.f64 (/.f64 (.f64 y -3) -1) (+.f64 -4/29 x))
(.f64 (/.f64 (.f64 (.f64 y -3) (-.f64 16/841 (.f64 x x))) (-.f64 16/841 (*.f64 x x))) (-.f64 4/29 x))
(.f64 (/.f64 (.f64 (.f64 y -3) (-.f64 16/841 (.f64 x x))) (+.f64 64/24389 (pow.f64 x 3))) (-.f64 (+.f64 16/841 (.f64 x x)) (.f64 4/29 x)))
(.f64 (/.f64 (.f64 (.f64 y -3) (-.f64 64/24389 (pow.f64 x 3))) (-.f64 256/707281 (.f64 (.f64 x (+.f64 4/29 x)) (.f64 x (+.f64 4/29 x))))) (-.f64 16/841 (*.f64 x (+.f64 4/29 x))))
(.f64 (/.f64 (.f64 (.f64 y -3) (-.f64 64/24389 (pow.f64 x 3))) (+.f64 4096/594823321 (pow.f64 (.f64 x (+.f64 4/29 x)) 3))) (+.f64 256/707281 (-.f64 (.f64 (.f64 x (+.f64 4/29 x)) (.f64 x (+.f64 4/29 x))) (.f64 16/841 (*.f64 x (+.f64 4/29 x))))))
(*.f64 (/.f64 (/.f64 y 1) (/.f64 -1/3 (sqrt.f64 (-.f64 4/29 x)))) (sqrt.f64 (-.f64 4/29 x)))
(*.f64 (/.f64 (/.f64 y 1) (/.f64 -1/3 (pow.f64 (cbrt.f64 (-.f64 4/29 x)) 2))) (cbrt.f64 (-.f64 4/29 x)))
(.f64 (/.f64 (/.f64 y 1) -1) (neg.f64 (.f64 (-.f64 4/29 x) -3)))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x)))) (sqrt.f64 1/3)) (sqrt.f64 (+.f64 -4/29 x)))
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) 2)) (cbrt.f64 1/3)) (cbrt.f64 (+.f64 -4/29 x)))
(pow.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))) 3)
(pow.f64 (pow.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x))) 3) 1/3)
(pow.f64 (/.f64 -1/3 (*.f64 y (-.f64 4/29 x))) -1)
(neg.f64 (.f64 (.f64 y -3) (+.f64 -4/29 x)))
(sqrt.f64 (pow.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x))) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 (-.f64 4/29 x) -3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x))))))
(cbrt.f64 (pow.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))))
(exp.f64 (log.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))))
(log1p.f64 (expm1.f64 (/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))))
(+.f64 (.f64 (/.f64 -1/3 (-.f64 16/841 (.f64 x x))) 4/29) (.f64 (/.f64 -1/3 (-.f64 16/841 (.f64 x x))) x))
(+.f64 (.f64 (/.f64 -1/3 (-.f64 16/841 (.f64 x x))) x) (.f64 (/.f64 -1/3 (-.f64 16/841 (.f64 x x))) 4/29))
(+.f64 (.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) 16/841) (.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) (*.f64 x (+.f64 4/29 x))))
(+.f64 (.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) (.f64 x (+.f64 4/29 x))) (*.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) 16/841))
(+.f64 (.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) (+.f64 16/841 (.f64 x x))) (.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) (.f64 4/29 x)))
(+.f64 (.f64 4/29 (/.f64 -1/3 (-.f64 16/841 (.f64 x x)))) (.f64 x (/.f64 -1/3 (-.f64 16/841 (.f64 x x)))))
(+.f64 (.f64 x (/.f64 -1/3 (-.f64 16/841 (.f64 x x)))) (.f64 4/29 (/.f64 -1/3 (-.f64 16/841 (.f64 x x)))))
(+.f64 (.f64 16/841 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3)))) (.f64 (*.f64 x (+.f64 4/29 x)) (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3)))))
(+.f64 (.f64 (.f64 x (+.f64 4/29 x)) (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3)))) (*.f64 16/841 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3)))))
(+.f64 (.f64 (+.f64 16/841 (.f64 x x)) (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3)))) (.f64 (.f64 4/29 x) (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 (-.f64 4/29 x)))) 1)
(*.f64 -1/3 (/.f64 1 (-.f64 4/29 x)))
(*.f64 (/.f64 -1/3 (-.f64 4/29 x)) 1)
(*.f64 1 (/.f64 -1/3 (-.f64 4/29 x)))
(*.f64 (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))
(*.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) (pow.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) 2) (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))
(.f64 (+.f64 4/29 x) (/.f64 -1/3 (-.f64 16/841 (.f64 x x))))
(*.f64 (/.f64 1 (-.f64 4/29 x)) -1/3)
(.f64 (+.f64 16/841 (.f64 x (+.f64 4/29 x))) (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))))
(*.f64 1/3 (/.f64 1 (+.f64 -4/29 x)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 4/29 x))) (/.f64 -1/3 (sqrt.f64 (-.f64 4/29 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 4/29 x)) 2)) (/.f64 -1/3 (cbrt.f64 (-.f64 4/29 x))))
(.f64 (/.f64 -1/3 (-.f64 16/841 (.f64 x x))) (+.f64 4/29 x))
(.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) (+.f64 16/841 (.f64 x (+.f64 4/29 x))))
(.f64 (/.f64 1 (-.f64 16/841 (.f64 x x))) (+.f64 -4/87 (*.f64 -1/3 x)))
(.f64 (/.f64 1 (-.f64 64/24389 (pow.f64 x 3))) (+.f64 -16/2523 (.f64 -1/3 (*.f64 x (+.f64 4/29 x)))))
(*.f64 -1 (/.f64 -1/3 (+.f64 -4/29 x)))
(*.f64 (/.f64 1 (+.f64 -4/29 x)) 1/3)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) 2) 1) (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))))
(.f64 (/.f64 -1/3 (neg.f64 (-.f64 16/841 (.f64 x x)))) (neg.f64 (+.f64 4/29 x)))
(.f64 (/.f64 -1/3 (neg.f64 (-.f64 64/24389 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (.f64 x (+.f64 4/29 x)))))
(.f64 (/.f64 -1/3 (-.f64 16/841 (.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 4/29 x))
(.f64 (/.f64 -1/3 (+.f64 64/24389 (pow.f64 (neg.f64 x) 3))) (+.f64 16/841 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 4/29 (neg.f64 x)))))
(.f64 (/.f64 1/3 (neg.f64 (-.f64 16/841 (.f64 x x)))) (+.f64 4/29 x))
(.f64 (/.f64 1/3 (neg.f64 (-.f64 64/24389 (pow.f64 x 3)))) (+.f64 16/841 (.f64 x (+.f64 4/29 x))))
(.f64 (/.f64 (/.f64 -1/3 (sqrt.f64 (-.f64 4/29 x))) (sqrt.f64 (-.f64 16/841 (.f64 x x)))) (sqrt.f64 (+.f64 4/29 x)))
(.f64 (/.f64 (/.f64 -1/3 (sqrt.f64 (-.f64 4/29 x))) (sqrt.f64 (-.f64 64/24389 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16/841 (.f64 x (+.f64 4/29 x)))))
(.f64 (/.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 (-.f64 4/29 x)) 2)) (cbrt.f64 (-.f64 16/841 (.f64 x x)))) (cbrt.f64 (+.f64 4/29 x)))
(.f64 (/.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 (-.f64 4/29 x)) 2)) (cbrt.f64 (-.f64 64/24389 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (.f64 x (+.f64 4/29 x)))))
(pow.f64 (/.f64 -1/3 (-.f64 4/29 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 -1/3 (-.f64 4/29 x))) 3)
(pow.f64 (pow.f64 (/.f64 -1/3 (-.f64 4/29 x)) 3) 1/3)
(pow.f64 (*.f64 (-.f64 4/29 x) -3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 (-.f64 4/29 x) 2)))
(log.f64 (exp.f64 (/.f64 -1/3 (-.f64 4/29 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 (-.f64 4/29 x)))))
(cbrt.f64 (pow.f64 (/.f64 -1/3 (-.f64 4/29 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/3 (-.f64 4/29 x))))
(exp.f64 (log.f64 (/.f64 -1/3 (-.f64 4/29 x))))
(log1p.f64 (expm1.f64 (/.f64 -1/3 (-.f64 4/29 x))))

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 3 y) -29/4)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1424×	`add-sqr-sqrt`
1382×	`*-un-lft-identity`
1316×	`add-cube-cbrt`
1306×	`add-cbrt-cube`
1292×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	151	7
2	1759	7

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1528×	`associate-/l*`
1424×	`associate-*r/`
972×	`distribute-lft-in`
970×	`associate-*l/`
932×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	280
1	147	280
2	693	280
3	2479	280

Stop Event

1×	node limit

Counts

40 → 28

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 3 y) (/.f64 1 x))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite70.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1872×	`add-sqr-sqrt`
1850×	`*-un-lft-identity`
1734×	`add-cube-cbrt`
1714×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	188	13
2	2448	13

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1454×	`associate-*r/`
994×	`associate-*l/`
802×	`associate-+r-`
794×	`associate-+l-`
782×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	122	1067
1	329	1019
2	1197	1019
3	6441	1019

Stop Event

1×	node limit

Counts

69 → 49

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

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

eval90.0ms (1.6%)

Compiler: Compiled 4142 to 3104 computations (25.1% saved)

prune63.0ms (1.1%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	307	2	309
Fresh	0	0	0
Picked	0	1	1
Done	1	9	10
Total	308	12	320

Error

Counts

320 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))
✓	37.5b	(/.f64 (*.f64 3 y) (/.f64 1 x))
	37.6b	(/.f64 y (/.f64 1/3 x))
✓	0.4b	(/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))
	25.9b	(/.f64 y -29/12)
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	37.5b	(.f64 (.f64 3 x) y)
✓	37.5b	(.f64 x (.f64 y 3))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	37.5b	(.f64 3 (.f64 y x))
✓	25.9b	(.f64 3 (.f64 y -4/29))
✓	25.8b	(*.f64 -12/29 y)

Compiler

Compiled 92 to 71 computations (22.8% saved)

regimes56.0ms (1%)

Counts

24 → 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 (*.f64 3 y) -29/4)
(.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 (/.f64 (+.f64 x -4/29) 1/3) y)
(/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))
(/.f64 (*.f64 3 y) (/.f64 1 x))
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(*.f64 (/.f64 (+.f64 x -4/29) (/.f64 1 y)) 3)
(/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))
(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)) y)
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) (-.f64 (.f64 x x) -16/841)) (/.f64 (+.f64 x 4/29) (*.f64 3 y)))
(*.f64 (fma.f64 x 3 -12/29) y)
(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 3 y)))
(/.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 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) y) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))

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

Calls

5 calls:

13.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
12.0ms	y
11.0ms	x
7.0ms	(*.f64 (-.f64 x (/.f64 16 116)) 3)
6.0ms	(-.f64 x (/.f64 16 116))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)`
0.2b	1	`(*.f64 (-.f64 x (/.f64 16 116)) 3)`
0.2b	1	`(-.f64 x (/.f64 16 116))`

Compiler

Compiled 244 to 171 computations (29.9% saved)

regimes60.0ms (1%)

Counts

20 → 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 (*.f64 3 y) -29/4)
(.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 (/.f64 (+.f64 x -4/29) 1/3) y)
(/.f64 y (/.f64 -1/3 (-.f64 4/29 x)))
(/.f64 (*.f64 3 y) (/.f64 1 x))
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(*.f64 (/.f64 (+.f64 x -4/29) (/.f64 1 y)) 3)
(/.f64 (*.f64 3 y) (/.f64 1 (-.f64 x 4/29)))
(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)) y)
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 256/707281) (-.f64 (.f64 x x) -16/841)) (/.f64 (+.f64 x 4/29) (*.f64 3 y)))

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

Calls

5 calls:

20.0ms	y
14.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
9.0ms	x
7.0ms	(*.f64 (-.f64 x (/.f64 16 116)) 3)
5.0ms	(-.f64 x (/.f64 16 116))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)`
0.2b	1	`(*.f64 (-.f64 x (/.f64 16 116)) 3)`
0.2b	1	`(-.f64 x (/.f64 16 116))`

Compiler

Compiled 189 to 133 computations (29.6% saved)

regimes16.0ms (0.3%)

Counts

10 → 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 (*.f64 3 y) -29/4)
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (+.f64 x -4/29) (.f64 3 y))

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

Calls

2 calls:

6.0ms	y
6.0ms	x

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes78.0ms (1.3%)

Counts

8 → 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))
(/.f64 (*.f64 3 y) -29/4)

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

Calls

2 calls:

62.0ms	y
14.0ms	x

Results

Error	Segments	Branch
1.8b	3	`x`
16.5b	11	`y`

Compiler

Compiled 44 to 30 computations (31.8% saved)

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.08748092004377792	195.52008318815965
23.0ms	-9.592525584149818	-2.891447853363798e-16

Results

32.0ms

288×

body

256

valid

Compiler

Compiled 268 to 211 computations (21.3% saved)

regimes56.0ms (1%)

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 x (.f64 y 3))

Calls

2 calls:

43.0ms	y
11.0ms	x

Results

Error	Segments	Branch
1.8b	3	`x`
16.5b	11	`y`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch30.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.08748092004377792	195.52008318815965
16.0ms	-9.592525584149818	-2.891447853363798e-16

Results

26.0ms

288×

body

256

valid

Compiler

Compiled 268 to 211 computations (21.3% saved)

regimes53.0ms (0.9%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	y
14.0ms	x

Results

Error	Segments	Branch
1.9b	3	`x`
16.6b	11	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch30.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.08748092004377792	195.52008318815965
16.0ms	-9.592525584149818	-2.891447853363798e-16

Results

26.0ms

288×

body

256

valid

Compiler

Compiled 268 to 211 computations (21.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.3b remaining (-1.1%)

Threshold costs -0.3b (-1.1%)

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:

4.0ms	x
3.0ms	y

Results

Error	Segments	Branch
25.8b	1	`x`
25.8b	1	`y`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	207
1	57	207
2	59	207

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Compiler

Compiled 96 to 70 computations (27.1% saved)

soundness16.0ms (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

Compiler

Compiled 88 to 70 computations (20.5% saved)

end50.0ms (0.9%)

Compiler: Compiled 84 to 57 computations (32.1% saved)