Details

analyze60.0ms (1.6%)

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)

sample759.0ms (20.4%)

Results

734.0ms	8256×	body	256	valid
14.0ms	167×	body	256	infinite

Bogosity

preprocess7.0ms (0.2%)

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 (0.4%)

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 (0.3%)

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)

rewrite68.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

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

Outputs

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

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

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

133 → 160

Calls

Call 1

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

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

localize7.0ms (0.2%)

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))

rewrite56.0ms (1.5%)

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))))))))

simplify51.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

45 → 35

Calls

Call 1

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

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

localize6.0ms (0.2%)

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)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite54.0ms (1.5%)

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)))))))

simplify52.0ms (1.4%)

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)

eval69.0ms (1.8%)

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

prune37.0ms (1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

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

Error

0.0b

Counts

252 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	30.3b	(pow.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y)) 2)
	0.3b	(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))
▶	14.8b	(/.f64 y (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841))))
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
	20.0b	(.f64 (/.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) (+.f64 (.f64 x x) (-.f64 16/841 (.f64 x -4/29)))) y)
▶	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.3b	(.f64 (+.f64 x -4/29) (.f64 3 y))
	33.4b	(.f64 (.f64 3 x) y)
▶	33.4b	(.f64 x (.f64 y 3))
▶	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
	33.4b	(.f64 3 (.f64 y x))
▶	29.5b	(*.f64 -12/29 y)

Compiler

Compiled 221 to 169 computations (23.5% saved)

localize8.0ms (0.2%)

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 (0.1%)

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)

rewrite62.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

68 → 73

Calls

Call 1

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

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

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)
0.0ms	y	@	-inf	(*.f64 -12/29 y)
0.0ms	y	@	0	(*.f64 -12/29 y)

rewrite49.0ms (1.3%)

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)))))))

simplify57.0ms (1.5%)

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
✓	0.3b	(.f64 x (.f64 y 3))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (1.3%)

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))))))))

simplify97.0ms (2.6%)

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))

localize8.0ms (0.2%)

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)

series2.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite78.0ms (2.1%)

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))))))))

simplify72.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

60 → 61

Calls

Call 1

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

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

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x -16/841)
✓	0.3b	(/.f64 y (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841))))
✓	0.6b	(*.f64 3 (fma.f64 x x -16/841))
✓	13.4b	(/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841)))

Compiler

Compiled 42 to 28 computations (33.3% saved)

series7.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 y (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841))))
1.0ms	y	@	0	(/.f64 y (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841))))
1.0ms	y	@	inf	(/.f64 y (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841))))
1.0ms	x	@	0	(/.f64 y (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841))))
0.0ms	x	@	-inf	(/.f64 y (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841))))

rewrite142.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`associate-/r/`
972×	`associate-/l/`
694×	`distribute-rgt-in`
666×	`distribute-lft-in`
290×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	84
1	286	62
2	3840	62

Stop Event

1×	node limit

Counts

4 → 238

Calls

Call 1

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

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

simplify146.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1518×	`associate-r`
1072×	`associate-l`
1014×	`times-frac`
910×	`associate-/r*`
904×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	616	9080
1	1883	8770

Stop Event

1×	node limit

Counts

298 → 353

Calls

Call 1

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

eval216.0ms (5.8%)

Compiler: Compiled 7736 to 5548 computations (28.3% saved)

prune130.0ms (3.5%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	510	2	512
Fresh	3	2	5
Picked	1	0	1
Done	1	5	6
Total	515	9	524

Error

Counts

524 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.4b	(/.f64 y (/.f64 1/3 x))
▶	29.6b	(/.f64 y -29/12)
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.3b	(.f64 (+.f64 x -4/29) (.f64 3 y))
▶	33.4b	(.f64 (.f64 3 x) y)
✓	33.4b	(.f64 x (.f64 y 3))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
▶	33.4b	(.f64 3 (.f64 y x))
✓	29.5b	(*.f64 -12/29 y)

Compiler

Compiled 65 to 49 computations (24.6% saved)

localize4.0ms (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	y	@	-inf	(.f64 3 (.f64 y x))
0.0ms	x	@	inf	(.f64 3 (.f64 y x))
0.0ms	x	@	-inf	(.f64 3 (.f64 y x))

rewrite59.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify52.0ms (1.4%)

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))

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	x	@	-inf	(.f64 (.f64 3 x) y)
0.0ms	y	@	-inf	(.f64 (.f64 3 x) y)
0.0ms	y	@	inf	(.f64 (.f64 3 x) y)

rewrite61.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

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

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

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 y -29/12)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(/.f64 y -29/12)

Outputs

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

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 25

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 y (/.f64 1/3 x))
✓	0.4b	(/.f64 1/3 x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite61.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

88 → 70

Calls

Call 1

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

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

eval53.0ms (1.4%)

Compiler: Compiled 992 to 663 computations (33.2% saved)

prune48.0ms (1.3%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	121	10	131

Error

Counts

131 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.4b	(/.f64 y (/.f64 1/3 x))
✓	29.6b	(/.f64 y -29/12)
▶	33.4b	(*.f64 (/.f64 y -1/3) (neg.f64 x))
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.3b	(.f64 (+.f64 x -4/29) (.f64 3 y))
✓	33.4b	(.f64 (.f64 3 x) y)
✓	33.4b	(.f64 x (.f64 y 3))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	33.4b	(.f64 3 (.f64 y x))
✓	29.5b	(*.f64 -12/29 y)

Compiler

Compiled 73 to 55 computations (24.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite57.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`add-sqr-sqrt`
1640×	`*-un-lft-identity`
1536×	`add-cube-cbrt`
1516×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	192	20
2	2409	20

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 -3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 -1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1/3 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 -3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 -3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 -3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 -3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 -3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 -3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 -3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 -3 x))))))))

simplify55.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1020×	`associate-/l*`
816×	`*-commutative`
662×	`unswap-sqr`
618×	`associate-/r/`
536×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	857
1	230	857
2	900	857
3	3582	857

Stop Event

1×	node limit

Counts

83 → 50

Calls

Call 1

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

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

eval9.0ms (0.2%)

Compiler: Compiled 400 to 259 computations (35.3% saved)

prune10.0ms (0.3%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	50	10	60

Error

Counts

60 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.4b	(/.f64 y (/.f64 1/3 x))
✓	29.6b	(/.f64 y -29/12)
✓	33.4b	(*.f64 (/.f64 y -1/3) (neg.f64 x))
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.3b	(.f64 (+.f64 x -4/29) (.f64 3 y))
✓	33.4b	(.f64 (.f64 3 x) y)
✓	33.4b	(.f64 x (.f64 y 3))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	33.4b	(.f64 3 (.f64 y x))
✓	29.5b	(*.f64 -12/29 y)

Compiler

Compiled 73 to 55 computations (24.7% saved)

regimes42.0ms (1.1%)

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(/.f64 y -29/12)
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))
(.f64 (.f64 3 x) y)
(/.f64 y (/.f64 1/3 x))
(*.f64 (/.f64 y -1/3) (neg.f64 x))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (+.f64 x -4/29) (.f64 3 y))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))
(*.f64 (fma.f64 x 3 -12/29) y)
(/.f64 y (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841))))
(.f64 (/.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) (+.f64 (.f64 x x) (-.f64 16/841 (.f64 x -4/29)))) y)
(pow.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x 3) -12/29) y)) 2)

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

Calls

5 calls:

10.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
9.0ms	y
8.0ms	x
6.0ms	(-.f64 x (/.f64 16 116))
5.0ms	(*.f64 (-.f64 x (/.f64 16 116)) 3)

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 153 to 112 computations (26.8% saved)

regimes22.0ms (0.6%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x
6.0ms	y

Results

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

Compiler

Compiled 54 to 36 computations (33.3% saved)

regimes13.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	y
5.0ms	x

Results

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

Compiler

Compiled 47 to 31 computations (34% saved)

regimes45.0ms (1.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	y
13.0ms	x

Results

Error	Segments	Branch
1.3b	3	`x`
18.6b	5	`y`

Compiler

Compiled 40 to 26 computations (35% saved)

bsearch31.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.018161825548683987	0.4290618396298342
18.0ms	-196.5729281419485	-2.4679882562815608e-17

Results

27.0ms

272×

body

256

valid

Compiler

Compiled 254 to 200 computations (21.3% saved)

regimes33.0ms (0.9%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(/.f64 y -29/12)
(.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:

21.0ms	y
11.0ms	x

Results

Error	Segments	Branch
1.3b	3	`x`
18.6b	5	`y`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch51.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	0.018161825548683987	0.4290618396298342
39.0ms	-196.5729281419485	-2.4679882562815608e-17

Results

47.0ms

272×

body

256

valid

Compiler

Compiled 254 to 200 computations (21.3% saved)

regimes66.0ms (1.8%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	y
9.0ms	x

Results

Error	Segments	Branch
1.3b	3	`x`
18.6b	5	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch56.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.018161825548683987	0.4290618396298342
41.0ms	-196.5729281419485	-2.4679882562815608e-17

Results

53.0ms

272×

body

256

valid

Compiler

Compiled 254 to 200 computations (21.3% saved)

regimes6.0ms (0.2%)

Accuracy

Total -0.2b remaining (-0.7%)

Threshold costs -0.2b (-0.7%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 -12/29 y)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
29.5b	1	`x`
29.5b	1	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify26.0ms (0.7%)

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	37	211
1	60	211
2	61	211

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 (+.f64 x -4/29) (.f64 3 y))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 3 (.f64 y x)) (if (<=.f64 x 607985949695017/4503599627370496) (.f64 -12/29 y) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 3 (.f64 y x)) (if (<=.f64 x 607985949695017/4503599627370496) (.f64 -12/29 y) (.f64 x (*.f64 y 3))))
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 3 (.f64 y x)) (if (<=.f64 x 607985949695017/4503599627370496) (.f64 -12/29 y) (.f64 3 (*.f64 y x))))
(*.f64 -12/29 y)

Outputs
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 (+.f64 (.f64 3 x) -12/29) y)
(.f64 (+.f64 x -4/29) (.f64 3 y))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 3 (.f64 y x)) (if (<=.f64 x 607985949695017/4503599627370496) (.f64 -12/29 y) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 3 (.f64 x y)) (if (<=.f64 x 607985949695017/4503599627370496) (.f64 y -12/29) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 3 (.f64 y x)) (if (<=.f64 x 607985949695017/4503599627370496) (.f64 -12/29 y) (.f64 x (*.f64 y 3))))
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 3 (.f64 x y)) (if (<=.f64 x 607985949695017/4503599627370496) (.f64 y -12/29) (.f64 x (*.f64 3 y))))
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 3 (.f64 y x)) (if (<=.f64 x 607985949695017/4503599627370496) (.f64 -12/29 y) (.f64 3 (*.f64 y x))))
(if (or (<=.f64 x -607985949695017/4503599627370496) (not (<=.f64 x 607985949695017/4503599627370496))) (.f64 3 (.f64 x y)) (*.f64 y -12/29))
(*.f64 -12/29 y)
(*.f64 y -12/29)

Compiler

Compiled 97 to 71 computations (26.8% saved)

soundness0.0ms (0%)

end71.0ms (1.9%)

Compiler: Compiled 85 to 57 computations (32.9% saved)