Details

analyze56.0ms (1.4%)

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 (19.3%)

Results

735.0ms	8256×	body	256	valid
13.0ms	142×	body	256	infinite

Bogosity

preprocess15.0ms (0.4%)

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)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(.f64 (+.f64 x -4/29) (.f64 3 y))
(*.f64 (fma.f64 x 3 -12/29) y)

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

0.0b

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.3b	(.f64 (+.f64 x -4/29) (.f64 3 y))
▶	0.1b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 16 116))
✓	0.0b	(*.f64 (-.f64 x (/.f64 16 116)) 3)
✓	0.1b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

Compiler

Compiled 31 to 25 computations (19.4% saved)

series4.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite80.0ms (2%)

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	39
1	238	39
2	2703	39

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (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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Outputs

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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) 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-4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -4/29)))))

simplify106.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1822×	`unswap-sqr`
1296×	`associate-/r/`
732×	`associate-/l*`
618×	`associate-r`
490×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	7161
1	1255	6343
2	4864	6337

Stop Event

1×	node limit

Counts

235 → 300

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)
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(/.f64 (.f64 (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 (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)) 1) (+.f64 -4/29 (neg.f64 x)))
(/.f64 (.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) 1) (neg.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (sqrt.f64 (+.f64 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)) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 x 4/29)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -16/841)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 x 4/29)))
(/.f64 (.f64 (+.f64 (pow.f64 x 4) -256/707281) (/.f64 1 (+.f64 x 4/29))) (+.f64 16/841 (.f64 x x)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x x) 3) -4096/594823321) (/.f64 1 (+.f64 x 4/29))) (+.f64 (+.f64 (pow.f64 x 4) 256/707281) (.f64 16/841 (.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (/.f64 1 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))) (+.f64 64/24389 (pow.f64 x 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) -262144/14507145975869) (/.f64 1 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))) (+.f64 (+.f64 (pow.f64 x 6) 4096/594823321) (*.f64 64/24389 (pow.f64 x 3))))
(/.f64 (/.f64 (fma.f64 x x -16/841) 1) (+.f64 x 4/29))
(/.f64 (/.f64 (fma.f64 x x -16/841) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x 4/29)))
(/.f64 (/.f64 (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 (pow.f64 x 3) -64/24389) 1) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (/.f64 (+.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 (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 16/841 (*.f64 x x)) (-.f64 -4/29 x))
(/.f64 (-.f64 (*.f64 (exp.f64 (log.f64 (+.f64 25/29 x))) (exp.f64 (log.f64 (+.f64 25/29 x)))) 1) (+.f64 (exp.f64 (log.f64 (+.f64 25/29 x))) 1))
(/.f64 (-.f64 (.f64 (/.f64 x (/.f64 (+.f64 x 4/29) x)) (/.f64 x (/.f64 (+.f64 x 4/29) x))) (.f64 (/.f64 16/841 (+.f64 x 4/29)) (/.f64 16/841 (+.f64 x 4/29)))) (+.f64 (/.f64 x (/.f64 (+.f64 x 4/29) x)) (/.f64 16/841 (+.f64 x 4/29))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))) (.f64 (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))))
(pow.f64 (+.f64 x -4/29) 1)
(pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2)
(pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3)
(pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/3)
(neg.f64 (/.f64 (fma.f64 x x -16/841) (+.f64 -4/29 (neg.f64 x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))
(sqrt.f64 (pow.f64 (+.f64 x -4/29) 2))
(log.f64 (exp.f64 (+.f64 x -4/29)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -4/29))))
(cbrt.f64 (pow.f64 (+.f64 x -4/29) 3))
(expm1.f64 (log.f64 (+.f64 25/29 x)))
(exp.f64 (log.f64 (+.f64 x -4/29)))
(log1p.f64 (expm1.f64 (+.f64 x -4/29)))
(fma.f64 1 x -4/29)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -4/29)

Outputs
(*.f64 -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)
-4/29
(-.f64 x 4/29)
(+.f64 x -4/29)
(-.f64 x 4/29)
(+.f64 x -4/29)
(-.f64 x 4/29)
(+.f64 x -4/29)
x
(-.f64 x 4/29)
(+.f64 x -4/29)
(-.f64 x 4/29)
(+.f64 x -4/29)
(-.f64 x 4/29)
(+.f64 x -4/29)
x
(-.f64 x 4/29)
(+.f64 x -4/29)
(-.f64 x 4/29)
(+.f64 x -4/29)
(-.f64 x 4/29)
(+.f64 x -4/29)
(+.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 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 (.f64 y (+.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 (+.f64 x 4/29) 16/841)) y)
(/.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 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (.f64 3 y)))
(/.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 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x (+.f64 x 4/29) 16/841)) y)
(/.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))))
(.f64 (.f64 y 3) (/.f64 (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 3 (.f64 y (+.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 (+.f64 x 4/29) 16/841)) y)
(/.f64 (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (.f64 x x) (-.f64 16/841 (.f64 x -4/29))))
(/.f64 (.f64 3 (.f64 y (+.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 (+.f64 x 4/29) 16/841)) y)
(/.f64 (.f64 y (.f64 3 (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))))
(.f64 (.f64 y 3) (/.f64 (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 3 (.f64 y (+.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 (+.f64 x 4/29) 16/841)) y)
(/.f64 (.f64 1 (.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))))
(.f64 (.f64 y 3) (/.f64 (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 3 (.f64 y (+.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 (+.f64 x 4/29) 16/841)) y)
(/.f64 (.f64 (.f64 3 y) (neg.f64 (fma.f64 x x -16/841))) (+.f64 -4/29 (neg.f64 x)))
(/.f64 (*.f64 y 3) (/.f64 (-.f64 -4/29 x) (neg.f64 (fma.f64 x x -16/841))))
(/.f64 (*.f64 (fma.f64 x x -16/841) -3) (/.f64 (-.f64 -4/29 x) y))
(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) -3) (-.f64 -4/29 x)) y)
(/.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 y 3) (/.f64 (neg.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389)))
(.f64 -3 (/.f64 (.f64 y (-.f64 64/24389 (pow.f64 x 3))) (fma.f64 x (+.f64 x 4/29) 16/841)))
(.f64 (/.f64 (-.f64 64/24389 (pow.f64 x 3)) (.f64 -1/3 (fma.f64 x (+.f64 x 4/29) 16/841))) y)
(/.f64 (.f64 (neg.f64 (fma.f64 x x -16/841)) (.f64 3 y)) (+.f64 -4/29 (neg.f64 x)))
(/.f64 (*.f64 y 3) (/.f64 (-.f64 -4/29 x) (neg.f64 (fma.f64 x x -16/841))))
(/.f64 (*.f64 (fma.f64 x x -16/841) -3) (/.f64 (-.f64 -4/29 x) y))
(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) -3) (-.f64 -4/29 x)) y)
(/.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 y 3) (/.f64 (neg.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389)))
(.f64 -3 (/.f64 (.f64 y (-.f64 64/24389 (pow.f64 x 3))) (fma.f64 x (+.f64 x 4/29) 16/841)))
(.f64 (/.f64 (-.f64 64/24389 (pow.f64 x 3)) (.f64 -1/3 (fma.f64 x (+.f64 x 4/29) 16/841))) y)
(/.f64 (.f64 (.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29))
(/.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 (.f64 (+.f64 (.f64 3 (pow.f64 x 3)) -192/24389) y) (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 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x (+.f64 x 4/29) 16/841)) y)
(/.f64 (.f64 (.f64 (*.f64 3 y) (fma.f64 x x -16/841)) 1) (+.f64 x 4/29))
(/.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 (.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 3 (.f64 y (+.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 (+.f64 x 4/29) 16/841)) y)
(/.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 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (/.f64 (sqrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (.f64 (*.f64 y 3) (sqrt.f64 (+.f64 x -4/29)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (sqrt.f64 (fma.f64 x (+.f64 x 4/29) 16/841))) (.f64 y (*.f64 3 (sqrt.f64 (+.f64 x -4/29)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (fma.f64 x (+.f64 x 4/29) 16/841))) (*.f64 y 3))
(/.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 y 3) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (+.f64 x 4/29)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))) (.f64 y (*.f64 3 (sqrt.f64 (+.f64 x -4/29)))))
(.f64 (.f64 (/.f64 3 (sqrt.f64 (+.f64 x 4/29))) (*.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (fma.f64 x x -16/841)))) y)
(/.f64 (/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) 1) (+.f64 x 4/29))
(/.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 (/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x 4/29)))
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(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x -4/29)))
(/.f64 (.f64 (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 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (fma.f64 x (+.f64 x 4/29) 16/841))) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29)))
(/.f64 (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 (cbrt.f64 (fma.f64 x x -16/841)) (cbrt.f64 (+.f64 x 4/29))) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -16/841)) 1) (+.f64 -4/29 (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x x -16/841)) (-.f64 -4/29 x))
(/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x))
(/.f64 (.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) 1) (neg.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(/.f64 (-.f64 64/24389 (pow.f64 x 3)) (neg.f64 (fma.f64 x (+.f64 x 4/29) 16/841)))
(/.f64 (-.f64 64/24389 (pow.f64 x 3)) (+.f64 -16/841 (*.f64 x (-.f64 -4/29 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (fma.f64 x (+.f64 x 4/29) 16/841)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 x 4/29)))
(/.f64 (sqrt.f64 (+.f64 x -4/29)) (/.f64 (sqrt.f64 (+.f64 x 4/29)) (sqrt.f64 (fma.f64 x x -16/841))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x -4/29)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(/.f64 (.f64 (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 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (fma.f64 x (+.f64 x 4/29) 16/841))) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -16/841)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 x 4/29)))
(/.f64 (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 (cbrt.f64 (fma.f64 x x -16/841)) (cbrt.f64 (+.f64 x 4/29))) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))
(/.f64 (.f64 (+.f64 (pow.f64 x 4) -256/707281) (/.f64 1 (+.f64 x 4/29))) (+.f64 16/841 (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 4) -256/707281) (.f64 (+.f64 x 4/29) (+.f64 16/841 (.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 4) -256/707281) (*.f64 (+.f64 x 4/29) (fma.f64 x x 16/841)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x x) 3) -4096/594823321) (/.f64 1 (+.f64 x 4/29))) (+.f64 (+.f64 (pow.f64 x 4) 256/707281) (.f64 16/841 (.f64 x x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (+.f64 x 4/29)) (+.f64 (pow.f64 x 4) (+.f64 256/707281 (.f64 16/841 (.f64 x x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (+.f64 x 4/29)) (fma.f64 16/841 (*.f64 x x) (+.f64 (pow.f64 x 4) 256/707281)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (+.f64 x 4/29)) (+.f64 256/707281 (.f64 (.f64 x x) (fma.f64 x x 16/841))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (/.f64 1 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))) (+.f64 64/24389 (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (+.f64 (pow.f64 x 3) 64/24389)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (fma.f64 x (+.f64 x 4/29) 16/841)) (+.f64 (pow.f64 x 3) 64/24389))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) -262144/14507145975869) (/.f64 1 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))) (+.f64 (+.f64 (pow.f64 x 6) 4096/594823321) (*.f64 64/24389 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) -262144/14507145975869) (.f64 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))) (+.f64 (+.f64 (pow.f64 x 6) 4096/594823321) (*.f64 (pow.f64 x 3) 64/24389))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) -262144/14507145975869) (*.f64 (fma.f64 x (+.f64 x 4/29) 16/841) (fma.f64 (pow.f64 x 3) 64/24389 (+.f64 (pow.f64 x 6) 4096/594823321))))
(/.f64 (/.f64 (fma.f64 x x -16/841) 1) (+.f64 x 4/29))
(*.f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29)))
(/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))
(/.f64 (/.f64 (fma.f64 x x -16/841) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x 4/29)))
(*.f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29)))
(/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))
(/.f64 (/.f64 (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 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29)))
(/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) -64/24389) 1) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 1 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(/.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x (+.f64 x 4/29) 16/841))
(/.f64 (/.f64 (+.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 (pow.f64 x 3) -64/24389) (/.f64 1 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(/.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x (+.f64 x 4/29) 16/841))
(/.f64 (/.f64 (+.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 (pow.f64 x 3) -64/24389) (/.f64 1 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))
(/.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x (+.f64 x 4/29) 16/841))
(/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x))
(/.f64 (neg.f64 (fma.f64 x x -16/841)) (-.f64 -4/29 x))
(/.f64 (-.f64 (*.f64 (exp.f64 (log.f64 (+.f64 25/29 x))) (exp.f64 (log.f64 (+.f64 25/29 x)))) 1) (+.f64 (exp.f64 (log.f64 (+.f64 25/29 x))) 1))
(/.f64 (fma.f64 (+.f64 x 25/29) (+.f64 x 25/29) -1) (+.f64 1 (+.f64 x 25/29)))
(/.f64 (+.f64 x 54/29) (/.f64 (+.f64 x 54/29) (+.f64 x -4/29)))
(*.f64 (/.f64 (+.f64 x 54/29) (+.f64 x 54/29)) (+.f64 x -4/29))
(/.f64 (-.f64 (.f64 (/.f64 x (/.f64 (+.f64 x 4/29) x)) (/.f64 x (/.f64 (+.f64 x 4/29) x))) (.f64 (/.f64 16/841 (+.f64 x 4/29)) (/.f64 16/841 (+.f64 x 4/29)))) (+.f64 (/.f64 x (/.f64 (+.f64 x 4/29) x)) (/.f64 16/841 (+.f64 x 4/29))))
(/.f64 (+.f64 (.f64 (.f64 (/.f64 x (+.f64 x 4/29)) x) (.f64 (/.f64 x (+.f64 x 4/29)) x)) (.f64 (/.f64 -16/841 (+.f64 x 4/29)) (/.f64 16/841 (+.f64 x 4/29)))) (+.f64 (*.f64 (/.f64 x (+.f64 x 4/29)) x) (/.f64 16/841 (+.f64 x 4/29))))
(/.f64 (*.f64 (fma.f64 (/.f64 x (+.f64 x 4/29)) x (/.f64 16/841 (+.f64 x 4/29))) (fma.f64 (/.f64 x (+.f64 x 4/29)) x (/.f64 -16/841 (+.f64 x 4/29)))) (fma.f64 (/.f64 x (+.f64 x 4/29)) x (/.f64 16/841 (+.f64 x 4/29))))
(/.f64 (fma.f64 (.f64 x (/.f64 x (+.f64 x 4/29))) (.f64 x (/.f64 x (+.f64 x 4/29))) (/.f64 (/.f64 -256/707281 (+.f64 x 4/29)) (+.f64 x 4/29))) (fma.f64 (/.f64 x (+.f64 x 4/29)) x (/.f64 16/841 (+.f64 x 4/29))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))) (.f64 (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))))
(/.f64 (.f64 (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (/.f64 -64/24389 (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29)))) (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x 6) (fma.f64 x (+.f64 x 4/29) 16/841)) (fma.f64 x (+.f64 x 4/29) 16/841)) (/.f64 (/.f64 4096/594823321 (fma.f64 x (+.f64 x 4/29) 16/841)) (fma.f64 x (+.f64 x 4/29) 16/841))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x 4/29) 16/841)) (/.f64 64/24389 (fma.f64 x (+.f64 x 4/29) 16/841))))
(pow.f64 (+.f64 x -4/29) 1)
(+.f64 x -4/29)
(pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2)
(+.f64 x -4/29)
(pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3)
(+.f64 x -4/29)
(pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/3)
(+.f64 x -4/29)
(neg.f64 (/.f64 (fma.f64 x x -16/841) (+.f64 -4/29 (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 x x -16/841)) (-.f64 -4/29 x))
(/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))
(/.f64 (-.f64 64/24389 (pow.f64 x 3)) (neg.f64 (fma.f64 x (+.f64 x 4/29) 16/841)))
(/.f64 (-.f64 64/24389 (pow.f64 x 3)) (+.f64 -16/841 (*.f64 x (-.f64 -4/29 x))))
(sqrt.f64 (pow.f64 (+.f64 x -4/29) 2))
(fabs.f64 (+.f64 x -4/29))
(log.f64 (exp.f64 (+.f64 x -4/29)))
(+.f64 x -4/29)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -4/29))))
(+.f64 x -4/29)
(cbrt.f64 (pow.f64 (+.f64 x -4/29) 3))
(+.f64 x -4/29)
(expm1.f64 (log.f64 (+.f64 25/29 x)))
(+.f64 x -4/29)
(exp.f64 (log.f64 (+.f64 x -4/29)))
(+.f64 x -4/29)
(log1p.f64 (expm1.f64 (+.f64 x -4/29)))
(+.f64 x -4/29)
(fma.f64 1 x -4/29)
(+.f64 x -4/29)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29)
(+.f64 x -4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -4/29)
(+.f64 x -4/29)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 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))

rewrite62.0ms (1.6%)

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	26
1	192	26
2	2334	26

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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))))))))

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

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1096×	`associate-/l*`
788×	`associate-/r*`
784×	`distribute-lft-in`
754×	`distribute-rgt-in`
688×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	1583
1	325	1511
2	1291	1263
3	5291	1263

Stop Event

1×	node limit

Counts

89 → 71

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

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite54.0ms (1.4%)

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)))))))

simplify53.0ms (1.3%)

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)

eval139.0ms (3.5%)

Compiler: Compiled 6924 to 5144 computations (25.7% saved)

prune68.0ms (1.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	414	11	425
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	416	12	428

Error

0.0b

Counts

428 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	15.9b	(/.f64 (.f64 (.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29))
	0.3b	(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))
	15.7b	(*.f64 (fma.f64 x x -16/841) (/.f64 3 (/.f64 (+.f64 x 4/29) y)))
▶	0.2b	(*.f64 (/.f64 3 (/.f64 1 (+.f64 x -4/29))) y)
▶	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.3b	(.f64 (+.f64 x -4/29) (.f64 3 y))
▶	34.9b	(.f64 (.f64 x 3) y)
	34.9b	(.f64 x (.f64 y 3))
	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
▶	34.9b	(.f64 3 (.f64 y x))
	27.7b	(.f64 -4/29 (.f64 3 y))
▶	27.6b	(*.f64 -12/29 y)

Compiler

Compiled 211 to 161 computations (23.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 3 x) 12/29)
✓	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series2.0ms (0%)

Counts

2 → 15

Calls

9 calls:

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

rewrite62.0ms (1.6%)

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 (1.4%)

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 (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite47.0ms (1.2%)

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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite49.0ms (1.3%)

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))))))))

simplify50.0ms (1.3%)

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

rewrite50.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`add-sqr-sqrt`
1302×	`*-un-lft-identity`
1208×	`add-cube-cbrt`
1192×	`add-cbrt-cube`
1178×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1631	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify38.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1464×	`distribute-rgt-in`
1454×	`distribute-lft-in`
1134×	`log-prod`
1070×	`associate-r`
912×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	455
1	86	455
2	346	455
3	2592	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 3 y))) 1)
(pow.f64 (.f64 x (.f64 3 y)) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 3 y))))
(exp.f64 (log.f64 (.f64 x (.f64 3 y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 3 y))))

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

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x -4/29)
✓	0.0b	(/.f64 1 (+.f64 x -4/29))
✓	0.1b	(/.f64 3 (/.f64 1 (+.f64 x -4/29)))
✓	0.1b	(*.f64 (/.f64 3 (/.f64 1 (+.f64 x -4/29))) y)

Compiler

Compiled 31 to 24 computations (22.6% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite79.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`associate-*l/`
988×	`*-commutative`
798×	`associate-/r*`
578×	`swap-sqr`
444×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	240	45
2	2941	45

Stop Event

1×	node limit

Counts

3 → 205

Calls

Call 1

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (*.f64 1 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (*.f64 -3 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (*.f64 (*.f64 3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (*.f64 (neg.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 3 x)) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (neg.f64 x)) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) 1) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) -3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 17/29 (*.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 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egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (+.f64 x -4/29))))))))

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

simplify103.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

862×	`associate-/l*`
646×	`associate-/l/`
634×	`distribute-lft-neg-out`
590×	`associate-l`
582×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	6157
1	1525	5843
2	6177	5841

Stop Event

1×	node limit

Counts

253 → 318

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

Outputs
(*.f64 -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 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)
-29/4
(-.f64 (*.f64 -841/16 x) 29/4)
(fma.f64 -841/16 x -29/4)
(fma.f64 x -841/16 -29/4)
(-.f64 (+.f64 (.f64 -841/16 x) (.f64 -24389/64 (pow.f64 x 2))) 29/4)
(+.f64 (fma.f64 -841/16 x (.f64 -24389/64 (.f64 x x))) -29/4)
(fma.f64 x -841/16 (fma.f64 -24389/64 (*.f64 x x) -29/4))
(-.f64 (+.f64 (.f64 -841/16 x) (+.f64 (.f64 -707281/256 (pow.f64 x 3)) (*.f64 -24389/64 (pow.f64 x 2)))) 29/4)
(+.f64 (fma.f64 -841/16 x (fma.f64 -707281/256 (pow.f64 x 3) (.f64 -24389/64 (.f64 x x)))) -29/4)
(+.f64 (fma.f64 -24389/64 (.f64 x x) (.f64 -707281/256 (pow.f64 x 3))) (fma.f64 x -841/16 -29/4))
(+.f64 (fma.f64 x -841/16 -29/4) (.f64 (.f64 x x) (+.f64 -24389/64 (*.f64 x -707281/256))))
(/.f64 1 x)
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 4/29 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 4/29 x) x))
(+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 4/29 (*.f64 x x))) (/.f64 16/841 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 4/29 x) x)) (/.f64 16/841 (pow.f64 x 3)))
(+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 64/24389 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 64/24389 (pow.f64 x 4)))))
(+.f64 (/.f64 (/.f64 4/29 x) x) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 64/24389 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 4/29 x) x) (/.f64 64/24389 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 4/29 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 4/29 x) x))
(+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 4/29 (*.f64 x x))) (/.f64 16/841 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 4/29 x) x)) (/.f64 16/841 (pow.f64 x 3)))
(+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 64/24389 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 64/24389 (pow.f64 x 4)))))
(+.f64 (/.f64 (/.f64 4/29 x) x) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 64/24389 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 4/29 x) x) (/.f64 64/24389 (pow.f64 x 4)))))
(+.f64 (.f64 y (.f64 3 x)) (*.f64 y -12/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 y -12/29) (.f64 y (*.f64 3 x)))
(*.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 y 1/3) x) (.f64 (/.f64 y 1/3) -4/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (/.f64 y 1/3) -4/29) (.f64 (/.f64 y 1/3) x))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (/.f64 y -1/3) 4/29) (.f64 (/.f64 y -1/3) (neg.f64 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (/.f64 y -1/3) (neg.f64 x)) (.f64 (/.f64 y -1/3) 4/29))
(*.f64 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 (.f64 -12/29 y) (.f64 (*.f64 3 x) 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 (.f64 x (/.f64 y 1/3)) (.f64 -4/29 (/.f64 y 1/3)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 -4/29 (/.f64 y 1/3)) (.f64 x (/.f64 y 1/3)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 4/29 (/.f64 y -1/3)) (.f64 (neg.f64 x) (/.f64 y -1/3)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (neg.f64 x) (/.f64 y -1/3)) (.f64 4/29 (/.f64 y -1/3)))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))) 1)
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 3 (/.f64 1 (*.f64 (+.f64 x -4/29) y)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 1 (/.f64 (/.f64 1/3 (+.f64 x -4/29)) y))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 y (/.f64 1/3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 1)
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 1/3 (+.f64 x -4/29)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 1/3 (+.f64 x -4/29))) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) 1/3) (+.f64 x -4/29)))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 1/3 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (cbrt.f64 y) (/.f64 1/3 (+.f64 x -4/29))) (pow.f64 (cbrt.f64 y) 2))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (/.f64 (cbrt.f64 y) 1/3) (+.f64 x -4/29)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 1/3 (+.f64 x -4/29)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 y) (/.f64 1/3 (+.f64 x -4/29))) (pow.f64 (cbrt.f64 y) 2))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (/.f64 (cbrt.f64 y) 1/3) (+.f64 x -4/29)))
(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 -3 (/.f64 (/.f64 1 (-.f64 4/29 x)) y))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (sqrt.f64 (.f64 3 y)) (/.f64 (/.f64 1 (+.f64 x -4/29)) (sqrt.f64 (.f64 3 y))))
(.f64 (/.f64 (sqrt.f64 (.f64 y 3)) (/.f64 1 (+.f64 x -4/29))) (sqrt.f64 (*.f64 y 3)))
(.f64 (sqrt.f64 (.f64 y 3)) (.f64 (/.f64 (sqrt.f64 (.f64 y 3)) 1) (+.f64 x -4/29)))
(/.f64 (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 (.f64 3 y))) (/.f64 (/.f64 1 (+.f64 x -4/29)) (cbrt.f64 (.f64 3 y))))
(/.f64 (cbrt.f64 (.f64 y 3)) (/.f64 (/.f64 1 (.f64 (cbrt.f64 (.f64 y 3)) (+.f64 x -4/29))) (cbrt.f64 (.f64 y 3))))
(.f64 (cbrt.f64 (.f64 y 3)) (/.f64 (cbrt.f64 (.f64 y 3)) (/.f64 1 (.f64 (+.f64 x -4/29) (cbrt.f64 (*.f64 y 3))))))
(/.f64 (.f64 y (sqrt.f64 (.f64 3 (+.f64 x -4/29)))) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))))
(/.f64 y (/.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (sqrt.f64 (fma.f64 3 x -12/29))))
(*.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (sqrt.f64 (fma.f64 3 x -12/29)))
(/.f64 (*.f64 3 (sqrt.f64 y)) (/.f64 (/.f64 1 (+.f64 x -4/29)) (sqrt.f64 y)))
(.f64 (/.f64 (.f64 3 (sqrt.f64 y)) (/.f64 1 (+.f64 x -4/29))) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (.f64 (fma.f64 3 x -12/29) (/.f64 (sqrt.f64 y) 1)))
(/.f64 (*.f64 3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 1 (+.f64 x -4/29)) (cbrt.f64 y)))
(/.f64 3 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (+.f64 x -4/29))) (pow.f64 (cbrt.f64 y) 2)))
(.f64 (cbrt.f64 y) (.f64 (fma.f64 3 x -12/29) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))
(/.f64 (*.f64 (+.f64 x -4/29) y) 1/3)
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (*.f64 y -3) (/.f64 1 (-.f64 4/29 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (/.f64 y 1/3) (/.f64 1 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (*.f64 (/.f64 y 1/3) (sqrt.f64 (+.f64 x -4/29))) (pow.f64 (+.f64 x -4/29) -1/2))
(/.f64 (/.f64 y 1/3) (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (+.f64 x -4/29))))
(.f64 (.f64 3 (sqrt.f64 (+.f64 x -4/29))) (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2)))
(/.f64 (/.f64 (*.f64 3 y) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (/.f64 1 (cbrt.f64 (+.f64 x -4/29))))
(.f64 (.f64 y (/.f64 3 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) (cbrt.f64 (+.f64 x -4/29)))
(/.f64 y (/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) (cbrt.f64 (+.f64 x -4/29))) 3))
(/.f64 (/.f64 y -1/3) (/.f64 1 (-.f64 4/29 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (*.f64 -1 y) (neg.f64 (/.f64 1/3 (+.f64 x -4/29))))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (.f64 (.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29))
(/.f64 (*.f64 3 (fma.f64 x x -16/841)) (/.f64 (+.f64 x 4/29) y))
(.f64 (/.f64 (.f64 y 3) (+.f64 x 4/29)) (fma.f64 x x -16/841))
(/.f64 (.f64 (+.f64 -192/24389 (.f64 3 (pow.f64 x 3))) y) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))
(/.f64 (+.f64 -192/24389 (.f64 3 (pow.f64 x 3))) (/.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29))) y))
(/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (/.f64 (fma.f64 x (+.f64 x 4/29) 16/841) y))
(/.f64 (.f64 (.f64 3 (sqrt.f64 (+.f64 x -4/29))) y) (pow.f64 (+.f64 x -4/29) -1/2))
(/.f64 (/.f64 y 1/3) (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (+.f64 x -4/29))))
(.f64 (.f64 3 (sqrt.f64 (+.f64 x -4/29))) (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2)))
(/.f64 (*.f64 (/.f64 3 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) y) (/.f64 1 (cbrt.f64 (+.f64 x -4/29))))
(.f64 (.f64 y (/.f64 3 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) (cbrt.f64 (+.f64 x -4/29)))
(/.f64 y (/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) (cbrt.f64 (+.f64 x -4/29))) 3))
(/.f64 (.f64 (.f64 y -3) 1) (/.f64 1 (-.f64 4/29 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (*.f64 (/.f64 y 1/3) 1) (/.f64 1 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (.f64 (.f64 (/.f64 y 1/3) (sqrt.f64 (+.f64 x -4/29))) 1) (pow.f64 (+.f64 x -4/29) -1/2))
(/.f64 (/.f64 y 1/3) (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (+.f64 x -4/29))))
(.f64 (.f64 3 (sqrt.f64 (+.f64 x -4/29))) (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2)))
(/.f64 (.f64 (/.f64 (.f64 3 y) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) 1) (/.f64 1 (cbrt.f64 (+.f64 x -4/29))))
(.f64 (.f64 y (/.f64 3 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) (cbrt.f64 (+.f64 x -4/29)))
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(/.f64 1 (+.f64 x -4/29))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -4/29))))
(/.f64 1 (+.f64 x -4/29))

eval304.0ms (7.7%)

Compiler: Compiled 6546 to 5008 computations (23.5% saved)

prune76.0ms (1.9%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	465	2	467
Fresh	4	2	6
Picked	1	0	1
Done	0	5	5
Total	470	9	479

Error

Counts

479 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 y (/.f64 1/3 (+.f64 x -4/29)))
▶	34.9b	(*.f64 (/.f64 3 (/.f64 1 x)) y)
✓	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.3b	(.f64 (+.f64 x -4/29) (.f64 3 y))
✓	34.9b	(.f64 (.f64 x 3) y)
▶	34.9b	(.f64 x (.f64 y 3))
✓	34.9b	(.f64 3 (.f64 y x))
▶	27.7b	(.f64 -4/29 (.f64 3 y))
✓	27.6b	(*.f64 -12/29 y)

Compiler

Compiled 69 to 53 computations (23.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`add-sqr-sqrt`
1248×	`*-un-lft-identity`
1176×	`add-cube-cbrt`
1166×	`add-cbrt-cube`
1152×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	144	7
2	1581	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1032×	`*-commutative`
880×	`log-prod`
732×	`associate--l+`
684×	`distribute-lft-out`
632×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	161
1	81	161
2	270	161
3	1569	161
4	4510	161
5	6976	161

Stop Event

1×	node limit

Counts

23 → 12

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)
(pow.f64 (*.f64 y -12/29) 1)
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)
(pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3)
(sqrt.f64 (.f64 144/841 (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 -12/29) y))
(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)
(pow.f64 (*.f64 y -12/29) 1)
(*.f64 -12/29 y)
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)
(*.f64 -12/29 y)
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)
(*.f64 -12/29 y)
(pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3)
(*.f64 -12/29 y)
(sqrt.f64 (.f64 144/841 (.f64 y y)))
(*.f64 -12/29 y)
(log.f64 (pow.f64 (exp.f64 -12/29) y))
(*.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 1 expressions with local error:

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

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

rewrite51.0ms (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))))))))

simplify53.0ms (1.3%)

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
✓	0.2b	(*.f64 (/.f64 3 (/.f64 1 x)) y)
✓	0.3b	(/.f64 3 (/.f64 1 x))

Compiler

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite56.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`add-sqr-sqrt`
1710×	`*-un-lft-identity`
1598×	`add-cube-cbrt`
1580×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	189	20
2	2294	20

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

862×	`associate-*r/`
686×	`unswap-sqr`
584×	`associate-+r-`
574×	`associate-+l-`
570×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	896
1	261	896
2	980	896
3	5304	896

Stop Event

1×	node limit

Counts

84 → 54

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x -4/29)
✓	0.2b	(/.f64 1/3 (+.f64 x -4/29))
✓	0.3b	(/.f64 y (/.f64 1/3 (+.f64 x -4/29)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite71.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1444×	`associate-*l/`
1264×	`associate-/r*`
956×	`*-commutative`
830×	`associate-/l*`
632×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	206	32
2	2757	32

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -4/29 (*.f64 y 3)) (*.f64 x (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 y 3)) (*.f64 -4/29 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 x (*.f64 y 3))) (*.f64 1 (*.f64 -4/29 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 -4/29 (*.f64 y 3))) (*.f64 1 (*.f64 x (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y -1/3) 4/29) (*.f64 (/.f64 y -1/3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y -1/3) (neg.f64 x)) (*.f64 (/.f64 y -1/3) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 y 3)) 1) (*.f64 (*.f64 -4/29 (*.f64 y 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -4/29 (*.f64 y 3)) 1) (*.f64 (*.f64 x (*.f64 y 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4/29 (/.f64 y -1/3)) (*.f64 (neg.f64 x) (/.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) (/.f64 y -1/3)) (*.f64 4/29 (/.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 (*.f64 3 x) -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -4/29) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) (sqrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.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 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) 2) (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 (*.f64 3 x) -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -4/29)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 3) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 3) (neg.f64 (-.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 3 x) -12/29) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 3 x) -12/29) (/.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 y (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 (/.f64 y 1) (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (*.f64 -3 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4/29 x) (/.f64 y -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 y 3)) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (*.f64 y 3)) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 y) (+.f64 (*.f64 3 x) -12/29)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 y) (+.f64 (*.f64 3 x) -12/29)) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (+.f64 (*.f64 3 x) -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (*.f64 1 (sqrt.f64 (+.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 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (/.f64 y (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y 1) (+.f64 x -4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y -1/3) (-.f64 4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (*.f64 y (-.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -3 (+.f64 x -4/29)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1/3) (*.f64 (/.f64 (sqrt.f64 y) 1) (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 y) 1) (+.f64 x -4/29)) (/.f64 (sqrt.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) 1/3) (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 y) 1/3) (+.f64 x -4/29)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 y) 1/3) (+.f64 x -4/29)) (/.f64 (sqrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/3) (*.f64 (/.f64 (cbrt.f64 y) 1) (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 y) 1) (+.f64 x -4/29)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) 1/3) (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 y) 1/3) (+.f64 x -4/29)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x 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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 3 x) -12/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 x -4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29))))))))

simplify87.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-/l/`
1174×	`unswap-sqr`
956×	`associate-/r/`
590×	`*-commutative`
474×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	4482
1	1229	3884
2	4434	3872

Stop Event

1×	node limit

Counts

182 → 218

Calls

Call 1

Inputs
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
-29/12
(-.f64 (*.f64 -841/48 x) 29/12)
(-.f64 (+.f64 (.f64 -24389/192 (pow.f64 x 2)) (.f64 -841/48 x)) 29/12)
(-.f64 (+.f64 (.f64 -707281/768 (pow.f64 x 3)) (+.f64 (.f64 -24389/192 (pow.f64 x 2)) (*.f64 -841/48 x))) 29/12)
(/.f64 1/3 x)
(+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 64/73167 (/.f64 1 (pow.f64 x 4))) (.f64 1/3 (/.f64 1 x)))))
(/.f64 1/3 x)
(+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 64/73167 (/.f64 1 (pow.f64 x 4))) (.f64 1/3 (/.f64 1 x)))))
(+.f64 (.f64 -4/29 (.f64 y 3)) (.f64 x (.f64 y 3)))
(+.f64 (.f64 x (.f64 y 3)) (.f64 -4/29 (.f64 y 3)))
(+.f64 (.f64 1 (.f64 x (.f64 y 3))) (.f64 1 (.f64 -4/29 (.f64 y 3))))
(+.f64 (.f64 1 (.f64 -4/29 (.f64 y 3))) (.f64 1 (.f64 x (.f64 y 3))))
(+.f64 (.f64 (/.f64 y -1/3) 4/29) (.f64 (/.f64 y -1/3) (neg.f64 x)))
(+.f64 (.f64 (/.f64 y -1/3) (neg.f64 x)) (.f64 (/.f64 y -1/3) 4/29))
(+.f64 (.f64 (.f64 x (.f64 y 3)) 1) (.f64 (.f64 -4/29 (.f64 y 3)) 1))
(+.f64 (.f64 (.f64 -4/29 (.f64 y 3)) 1) (.f64 (.f64 x (.f64 y 3)) 1))
(+.f64 (.f64 4/29 (/.f64 y -1/3)) (.f64 (neg.f64 x) (/.f64 y -1/3)))
(+.f64 (.f64 (neg.f64 x) (/.f64 y -1/3)) (.f64 4/29 (/.f64 y -1/3)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 x -4/29) (.f64 y 3)))) 1)
(.f64 y (+.f64 (.f64 3 x) -12/29))
(.f64 (+.f64 x -4/29) (.f64 y 3))
(.f64 (.f64 (+.f64 x -4/29) (*.f64 y 3)) 1)
(.f64 1 (.f64 (+.f64 x -4/29) (*.f64 y 3)))
(.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 y 3))) (sqrt.f64 (.f64 (+.f64 x -4/29) (*.f64 y 3))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (+.f64 (*.f64 3 x) -12/29)))
(.f64 (sqrt.f64 (+.f64 x -4/29)) (.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 y 3)))
(.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 y 3))) (pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (*.f64 y 3))) 2))
(.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (*.f64 y 3))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 y 3))) 2) (cbrt.f64 (.f64 (+.f64 x -4/29) (*.f64 y 3))))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (+.f64 (*.f64 3 x) -12/29)))
(.f64 (cbrt.f64 (+.f64 x -4/29)) (.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (*.f64 y 3)))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 (.f64 y 3) (neg.f64 (-.f64 4/29 x)))
(.f64 (+.f64 (.f64 3 x) -12/29) y)
(.f64 (+.f64 (.f64 3 x) -12/29) (/.f64 y 1))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 3 (.f64 (/.f64 y 1) (+.f64 x -4/29)))
(.f64 (neg.f64 y) (.f64 -3 (+.f64 x -4/29)))
(*.f64 (-.f64 4/29 x) (/.f64 y -1/3))
(.f64 (.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 y 3)) (sqrt.f64 (+.f64 x -4/29)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (*.f64 y 3)) (cbrt.f64 (+.f64 x -4/29)))
(.f64 (.f64 (sqrt.f64 y) (+.f64 (*.f64 3 x) -12/29)) (sqrt.f64 y))
(.f64 (.f64 (cbrt.f64 y) (+.f64 (*.f64 3 x) -12/29)) (pow.f64 (cbrt.f64 y) 2))
(.f64 (/.f64 y 1) (+.f64 (.f64 3 x) -12/29))
(.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (.f64 1 (sqrt.f64 (+.f64 (*.f64 3 x) -12/29))))
(.f64 (.f64 1 (sqrt.f64 (+.f64 (*.f64 3 x) -12/29))) (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (/.f64 y (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))))
(.f64 (.f64 (/.f64 y 1) (+.f64 x -4/29)) 3)
(*.f64 (/.f64 y (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)))
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x))
(.f64 -3 (.f64 y (-.f64 4/29 x)))
(.f64 (.f64 -3 (+.f64 x -4/29)) (neg.f64 y))
(.f64 (/.f64 (sqrt.f64 y) 1/3) (.f64 (/.f64 (sqrt.f64 y) 1) (+.f64 x -4/29)))
(.f64 (.f64 (/.f64 (sqrt.f64 y) 1) (+.f64 x -4/29)) (/.f64 (sqrt.f64 y) 1/3))
(.f64 (/.f64 (sqrt.f64 y) 1) (.f64 (/.f64 (sqrt.f64 y) 1/3) (+.f64 x -4/29)))
(.f64 (.f64 (/.f64 (sqrt.f64 y) 1/3) (+.f64 x -4/29)) (sqrt.f64 y))
(.f64 (.f64 (/.f64 (sqrt.f64 y) 1/3) (+.f64 x -4/29)) (/.f64 (sqrt.f64 y) 1))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/3) (.f64 (/.f64 (cbrt.f64 y) 1) (+.f64 x -4/29)))
(.f64 (.f64 (/.f64 (cbrt.f64 y) 1) (+.f64 x -4/29)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (.f64 (/.f64 (cbrt.f64 y) 1/3) (+.f64 x -4/29)))
(.f64 (.f64 (/.f64 (cbrt.f64 y) 1/3) (+.f64 x -4/29)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))))
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (cbrt.f64 (.f64 (+.f64 x -4/29) (*.f64 y 3))))
(.f64 (/.f64 (.f64 y 3) 1) (+.f64 x -4/29))
(*.f64 (/.f64 (neg.f64 y) 1/3) (-.f64 4/29 x))
(.f64 (/.f64 (neg.f64 y) -1) (+.f64 (.f64 3 x) -12/29))
(*.f64 (/.f64 (/.f64 y 1) 1/3) (+.f64 x -4/29))
(*.f64 (/.f64 (/.f64 y 1) 1/3) (neg.f64 (-.f64 4/29 x)))
(.f64 (/.f64 (/.f64 y 1) 1) (+.f64 (.f64 3 x) -12/29))
(*.f64 (/.f64 (/.f64 y 1) -1/3) (-.f64 4/29 x))
(.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) 1) (sqrt.f64 (+.f64 (.f64 3 x) -12/29)))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (sqrt.f64 1/3)) (sqrt.f64 (+.f64 x -4/29)))
(.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) 1) (cbrt.f64 (+.f64 (.f64 3 x) -12/29)))
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (cbrt.f64 1/3)) (cbrt.f64 (+.f64 x -4/29)))
(.f64 (/.f64 y -1) (neg.f64 (+.f64 (.f64 3 x) -12/29)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1/3 (+.f64 x -4/29))) (cbrt.f64 y))
(*.f64 (/.f64 y (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 x -4/29)))
(*.f64 (/.f64 y (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29)))
(*.f64 (/.f64 1 (/.f64 (/.f64 1/3 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(.f64 (/.f64 (.f64 y 3) (/.f64 1 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 x -4/29)))
(.f64 (/.f64 (.f64 y 3) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29)))
(.f64 (/.f64 (.f64 y 3) -1) (-.f64 4/29 x))
(.f64 (/.f64 (.f64 (*.f64 y 3) (fma.f64 x x -16/841)) (fma.f64 x x -16/841)) (+.f64 x -4/29))
(.f64 (/.f64 (.f64 (.f64 y 3) (fma.f64 x x -16/841)) (-.f64 (pow.f64 x 3) -64/24389)) (+.f64 (.f64 x x) (+.f64 16/841 (*.f64 x -4/29))))
(.f64 (/.f64 (.f64 (.f64 y 3) (+.f64 -64/24389 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 16/841 (.f64 x -4/29)) (-.f64 16/841 (.f64 x -4/29))))) (+.f64 (fma.f64 x x -16/841) (.f64 x -4/29)))
(.f64 (/.f64 (.f64 (.f64 y 3) (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (-.f64 16/841 (.f64 x -4/29)) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (-.f64 16/841 (.f64 x -4/29)) (-.f64 16/841 (.f64 x -4/29))) (.f64 (.f64 x x) (-.f64 16/841 (.f64 x -4/29))))))
(*.f64 (/.f64 (/.f64 y 1) (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 x -4/29)))
(*.f64 (/.f64 (/.f64 y 1) (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29)))
(.f64 (/.f64 (/.f64 y 1) -1) (neg.f64 (+.f64 (.f64 3 x) -12/29)))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (sqrt.f64 -1/3)) (sqrt.f64 (-.f64 4/29 x)))
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (cbrt.f64 -1/3)) (cbrt.f64 (-.f64 4/29 x)))
(pow.f64 (.f64 (+.f64 x -4/29) (.f64 y 3)) 1)
(pow.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 y 3))) 2)
(pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 y 3))) 3)
(pow.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 y 3)) 3) 1/3)
(pow.f64 (/.f64 1/3 (*.f64 y (+.f64 x -4/29))) -1)
(neg.f64 (.f64 (.f64 y 3) (-.f64 4/29 x)))
(sqrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 y 3)) 2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 (*.f64 3 x) -12/29)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 x -4/29) (.f64 y 3)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 y 3)) 3))
(expm1.f64 (log1p.f64 (.f64 (+.f64 x -4/29) (.f64 y 3))))
(exp.f64 (log.f64 (.f64 (+.f64 x -4/29) (.f64 y 3))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 x -4/29) (.f64 y 3))))
(+.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 (+.f64 -64/24389 (pow.f64 x 3))) (.f64 x x)) (.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (-.f64 16/841 (.f64 x -4/29))))
(+.f64 (.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (-.f64 16/841 (.f64 x -4/29))) (.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (.f64 x 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 (.f64 x x) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3)))) (.f64 (-.f64 16/841 (.f64 x -4/29)) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3)))))
(+.f64 (.f64 (-.f64 16/841 (.f64 x -4/29)) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3)))) (.f64 (.f64 x x) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29)))) 1)
(*.f64 1/3 (/.f64 1 (+.f64 x -4/29)))
(*.f64 (/.f64 1/3 (+.f64 x -4/29)) 1)
(*.f64 1 (/.f64 1/3 (+.f64 x -4/29)))
(*.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))))
(*.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))))
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841)))
(*.f64 (/.f64 1 (+.f64 x -4/29)) 1/3)
(.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29))) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))))
(*.f64 -1/3 (/.f64 -1 (+.f64 x -4/29)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 1/3 (cbrt.f64 (+.f64 x -4/29))))
(*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (.f64 x (+.f64 x 4/29))))
(.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 (.f64 1/3 x) 4/87))
(.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (.f64 1/3 (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))))
(*.f64 -1 (/.f64 1/3 (-.f64 4/29 x)))
(*.f64 (/.f64 -1 (+.f64 x -4/29)) -1/3)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) 1) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))))
(*.f64 (/.f64 1/3 (neg.f64 (fma.f64 x x -16/841))) (neg.f64 (+.f64 x 4/29)))
(.f64 (/.f64 1/3 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29)))))
(*.f64 (/.f64 -1/3 (neg.f64 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(.f64 (/.f64 -1/3 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (.f64 x (+.f64 x 4/29))))
(.f64 (/.f64 1/3 (-.f64 16/841 (.f64 x x))) (-.f64 -4/29 x))
(.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29)))))
(*.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (+.f64 x 4/29)))
(.f64 (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29)))))
(*.f64 (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29)))
(pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 3)
(pow.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3) 1/3)
(pow.f64 (+.f64 (*.f64 3 x) -12/29) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 x -4/29) 2)))
(log.f64 (exp.f64 (/.f64 1/3 (+.f64 x -4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29)))))
(cbrt.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29))))
(exp.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29))))
(log1p.f64 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29))))

Outputs
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 -12/29 y)
(*.f64 y -12/29)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 y (.f64 3 (-.f64 x 4/29)))
(*.f64 y (fma.f64 3 x -12/29))
-29/12
(-.f64 (*.f64 -841/48 x) 29/12)
(fma.f64 -841/48 x -29/12)
(fma.f64 x -841/48 -29/12)
(-.f64 (+.f64 (.f64 -24389/192 (pow.f64 x 2)) (.f64 -841/48 x)) 29/12)
(+.f64 (.f64 -24389/192 (.f64 x x)) (fma.f64 -841/48 x -29/12))
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(.f64 (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (.f64 x (+.f64 x 4/29)))))
(.f64 (/.f64 1/3 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (pow.f64 (cbrt.f64 (-.f64 x 4/29)) 2))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))))
(*.f64 (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (cbrt.f64 (fma.f64 x (+.f64 x 4/29) 16/841)))
(*.f64 (/.f64 (/.f64 1/3 (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 1/3 (.f64 (cbrt.f64 (fma.f64 x x -16/841)) (pow.f64 (cbrt.f64 (-.f64 x 4/29)) 2))) (cbrt.f64 (+.f64 x 4/29)))
(.f64 (/.f64 1/3 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (fma.f64 x x -16/841)))) (cbrt.f64 (+.f64 x 4/29)))
(pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 1)
(/.f64 1/3 (-.f64 x 4/29))
(/.f64 1/3 (+.f64 x -4/29))
(pow.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)
(/.f64 1/3 (-.f64 x 4/29))
(/.f64 1/3 (+.f64 x -4/29))
(pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 3)
(/.f64 1/3 (-.f64 x 4/29))
(/.f64 1/3 (+.f64 x -4/29))
(pow.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3) 1/3)
(/.f64 1/3 (-.f64 x 4/29))
(/.f64 1/3 (+.f64 x -4/29))
(pow.f64 (+.f64 (*.f64 3 x) -12/29) -1)
(/.f64 1/3 (-.f64 x 4/29))
(/.f64 1/3 (+.f64 x -4/29))
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 x -4/29) 2)))
(sqrt.f64 (/.f64 1/9 (pow.f64 (-.f64 x 4/29) 2)))
(log.f64 (exp.f64 (/.f64 1/3 (+.f64 x -4/29))))
(/.f64 1/3 (-.f64 x 4/29))
(/.f64 1/3 (+.f64 x -4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29)))))
(/.f64 1/3 (-.f64 x 4/29))
(/.f64 1/3 (+.f64 x -4/29))
(cbrt.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3))
(/.f64 1/3 (-.f64 x 4/29))
(/.f64 1/3 (+.f64 x -4/29))
(expm1.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29))))
(/.f64 1/3 (-.f64 x 4/29))
(/.f64 1/3 (+.f64 x -4/29))
(exp.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29))))
(/.f64 1/3 (-.f64 x 4/29))
(/.f64 1/3 (+.f64 x -4/29))
(log1p.f64 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29))))
(/.f64 1/3 (-.f64 x 4/29))
(/.f64 1/3 (+.f64 x -4/29))

eval92.0ms (2.3%)

Compiler: Compiled 4296 to 3194 computations (25.7% saved)

prune52.0ms (1.3%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	331	2	333
Fresh	0	0	0
Picked	1	0	1
Done	0	8	8
Total	332	10	342

Error

Counts

342 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.0b	(/.f64 y (/.f64 1/3 x))
▶	27.8b	(/.f64 y -29/12)
✓	34.9b	(*.f64 (/.f64 3 (/.f64 1 x)) y)
✓	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.3b	(.f64 (+.f64 x -4/29) (.f64 3 y))
✓	34.9b	(.f64 (.f64 x 3) y)
✓	34.9b	(.f64 x (.f64 y 3))
✓	34.9b	(.f64 3 (.f64 y x))
✓	27.7b	(.f64 -4/29 (.f64 3 y))
✓	27.6b	(*.f64 -12/29 y)

Compiler

Compiled 72 to 55 computations (23.6% saved)

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)

series2.0ms (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)

rewrite53.0ms (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)))))))

simplify44.0ms (1.1%)

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
✓	0.3b	(/.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	y	@	0	(/.f64 y (/.f64 1/3 x))
0.0ms	y	@	-inf	(/.f64 y (/.f64 1/3 x))

rewrite59.0ms (1.5%)

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))))))))

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

88 → 70

Calls

Call 1

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

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

eval18.0ms (0.5%)

Compiler: Compiled 791 to 539 computations (31.9% saved)

prune18.0ms (0.5%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	95	10	105

Error

Counts

105 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.0b	(/.f64 y (/.f64 1/3 x))
✓	27.8b	(/.f64 y -29/12)
✓	34.9b	(*.f64 (/.f64 3 (/.f64 1 x)) y)
✓	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.3b	(.f64 (+.f64 x -4/29) (.f64 3 y))
✓	34.9b	(.f64 (.f64 x 3) y)
✓	34.9b	(.f64 x (.f64 y 3))
✓	34.9b	(.f64 3 (.f64 y x))
✓	27.7b	(.f64 -4/29 (.f64 3 y))
✓	27.6b	(*.f64 -12/29 y)

Compiler

Compiled 72 to 55 computations (23.6% saved)

regimes44.0ms (1.1%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
10.0ms	x
9.0ms	y
7.0ms	(*.f64 (-.f64 x (/.f64 16 116)) 3)
5.0ms	(-.f64 x (/.f64 16 116))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)`
0.1b	1	`(*.f64 (-.f64 x (/.f64 16 116)) 3)`
0.1b	1	`(-.f64 x (/.f64 16 116))`

Compiler

Compiled 158 to 115 computations (27.2% saved)

regimes15.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	y
5.0ms	x

Results

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

Compiler

Compiled 53 to 36 computations (32.1% saved)

regimes53.0ms (1.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	y
14.0ms	x

Results

Error	Segments	Branch
1.1b	3	`x`
20.7b	7	`y`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch38.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.27421568120629e-8	43272820708432904000.0
17.0ms	-90.72898184160476	-2.7813633456216202e-5

Results

29.0ms

320×

body

256

valid

Compiler

Compiled 296 to 233 computations (21.3% saved)

regimes70.0ms (1.8%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

56.0ms	y
13.0ms	x

Results

Error	Segments	Branch
1.2b	3	`x`
20.7b	7	`y`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch90.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	3.27421568120629e-8	43272820708432904000.0
71.0ms	-90.72898184160476	-2.7813633456216202e-5

Results

86.0ms	320×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 296 to 233 computations (21.3% saved)

regimes36.0ms (0.9%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	y
11.0ms	x

Results

Error	Segments	Branch
1.2b	3	`x`
20.8b	7	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch94.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	3.27421568120629e-8	43272820708432904000.0
16.0ms	-90.72898184160476	-2.7813633456216202e-5

Results

30.0ms

320×

body

256

valid

Compiler

Compiled 296 to 233 computations (21.3% saved)

regimes8.0ms (0.2%)

Accuracy

Total -0.3b remaining (-1%)

Threshold costs -0.3b (-1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 -12/29 y)

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
27.6b	1	`x`
27.6b	1	`y`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	186
1	55	186
2	57	186

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 84 to 62 computations (26.2% saved)

soundness0.0ms (0%)

end44.0ms (1.1%)

Compiler: Compiled 74 to 51 computations (31.1% saved)